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var(--bs-dropdown-header-padding-x);white-space:nowrap}.dropdown-item-text{color:var(--bs-dropdown-link-color);display:block;padding:var(--bs-dropdown-item-padding-y) var(--bs-dropdown-item-padding-x)}.dropdown-menu-dark{--bs-dropdown-color:#dee2e6;--bs-dropdown-bg:#343a40;--bs-dropdown-border-color:var(--bs-border-color-translucent);--bs-dropdown-box-shadow: ;--bs-dropdown-link-color:#dee2e6;--bs-dropdown-link-hover-color:#fff;--bs-dropdown-divider-bg:var(--bs-border-color-translucent);--bs-dropdown-link-hover-bg:hsla(0,0%,100%,.15);--bs-dropdown-link-active-color:#fff;--bs-dropdown-link-active-bg:#003262;--bs-dropdown-link-disabled-color:#adb5bd;--bs-dropdown-header-color:#adb5bd}.nav{--bs-nav-link-padding-x:1rem;--bs-nav-link-padding-y:0.5rem;--bs-nav-link-font-weight: ;--bs-nav-link-color:var(--bs-link-color);--bs-nav-link-hover-color:var(--bs-link-hover-color);--bs-nav-link-disabled-color:var(--bs-secondary-color);display:flex;flex-wrap:wrap;list-style:none;margin-bottom:0;padding-left:0}.nav-link{background:none;border:0;color:var(--bs-nav-link-color);display:block;font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);padding:var(--bs-nav-link-padding-y) var(--bs-nav-link-padding-x);text-decoration:none;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out}@media (prefers-reduced-motion:reduce){.nav-link{transition:none}}.nav-link:focus,.nav-link:hover{color:var(--bs-nav-link-hover-color)}.nav-link:focus-visible{box-shadow:0 0 0 .25rem rgba(0,50,98,.25);outline:0}.nav-link.disabled,.nav-link:disabled{color:var(--bs-nav-link-disabled-color);cursor:default;pointer-events:none}.nav-tabs{--bs-nav-tabs-border-width:var(--bs-border-width);--bs-nav-tabs-border-color:var(--bs-border-color);--bs-nav-tabs-border-radius:var(--bs-border-radius);--bs-nav-tabs-link-hover-border-color:var(--bs-secondary-bg) var(--bs-secondary-bg) var(--bs-border-color);--bs-nav-tabs-link-active-color:var(--bs-emphasis-color);--bs-nav-tabs-link-active-bg:var(--bs-body-bg);--bs-nav-tabs-link-active-border-color:var(--bs-border-color) var(--bs-border-color) var(--bs-body-bg);border-bottom:var(--bs-nav-tabs-border-width) solid var(--bs-nav-tabs-border-color)}.nav-tabs .nav-link{border:var(--bs-nav-tabs-border-width) solid transparent;border-top-left-radius:var(--bs-nav-tabs-border-radius);border-top-right-radius:var(--bs-nav-tabs-border-radius);margin-bottom:calc(var(--bs-nav-tabs-border-width)*-1)}.nav-tabs .nav-link:focus,.nav-tabs .nav-link:hover{border-color:var(--bs-nav-tabs-link-hover-border-color);isolation:isolate}.nav-tabs .nav-item.show .nav-link,.nav-tabs .nav-link.active{background-color:var(--bs-nav-tabs-link-active-bg);border-color:var(--bs-nav-tabs-link-active-border-color);color:var(--bs-nav-tabs-link-active-color)}.nav-tabs .dropdown-menu{border-top-left-radius:0;border-top-right-radius:0;margin-top:calc(var(--bs-nav-tabs-border-width)*-1)}.tab-content>.tab-pane{display:none}.tab-content>.active{display:block}.navbar{--bs-navbar-padding-x:0;--bs-navbar-padding-y:0.5rem;--bs-navbar-color:rgba(var(--bs-emphasis-color-rgb),0.65);--bs-navbar-hover-color:rgba(var(--bs-emphasis-color-rgb),0.8);--bs-navbar-disabled-color:rgba(var(--bs-emphasis-color-rgb),0.3);--bs-navbar-active-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-brand-padding-y:0.3125rem;--bs-navbar-brand-margin-end:1rem;--bs-navbar-brand-font-size:1.25rem;--bs-navbar-brand-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-brand-hover-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-nav-link-padding-x:0.5rem;--bs-navbar-toggler-padding-y:0.25rem;--bs-navbar-toggler-padding-x:0.75rem;--bs-navbar-toggler-font-size:1.25rem;--bs-navbar-toggler-icon-bg:url(/opensees-gallery/icons/navbar-light-toggler-icon-bg.svg);--bs-navbar-toggler-border-color:rgba(var(--bs-emphasis-color-rgb),0.15);--bs-navbar-toggler-border-radius:var(--bs-border-radius);--bs-navbar-toggler-focus-width:0;--bs-navbar-toggler-transition:box-shadow 0.15s ease-in-out;align-items:center;display:flex;flex-wrap:wrap;justify-content:space-between;padding:var(--bs-navbar-padding-y) var(--bs-navbar-padding-x);position:relative}.navbar>.container,.navbar>.container-fluid,.navbar>.container-xxl{align-items:center;display:flex;flex-wrap:inherit;justify-content:space-between}.navbar-brand{color:var(--bs-navbar-brand-color);font-size:var(--bs-navbar-brand-font-size);margin-right:var(--bs-navbar-brand-margin-end);padding-bottom:var(--bs-navbar-brand-padding-y);padding-top:var(--bs-navbar-brand-padding-y);text-decoration:none;white-space:nowrap}.navbar-brand:focus,.navbar-brand:hover{color:var(--bs-navbar-brand-hover-color)}.navbar-nav{--bs-nav-link-padding-x:0;--bs-nav-link-padding-y:0.5rem;--bs-nav-link-font-weight: ;--bs-nav-link-color:var(--bs-navbar-color);--bs-nav-link-hover-color:var(--bs-navbar-hover-color);--bs-nav-link-disabled-color:var(--bs-navbar-disabled-color);display:flex;flex-direction:column;list-style:none;margin-bottom:0;padding-left:0}.navbar-nav .nav-link.active,.navbar-nav .nav-link.show{color:var(--bs-navbar-active-color)}.navbar-nav .dropdown-menu{position:static}.navbar-collapse{align-items:center;flex-basis:100%;flex-grow:1}.navbar-toggler{background-color:transparent;border:var(--bs-border-width) solid var(--bs-navbar-toggler-border-color);border-radius:var(--bs-navbar-toggler-border-radius);color:var(--bs-navbar-color);font-size:var(--bs-navbar-toggler-font-size);line-height:1;padding:var(--bs-navbar-toggler-padding-y) var(--bs-navbar-toggler-padding-x);transition:var(--bs-navbar-toggler-transition)}@media (prefers-reduced-motion:reduce){.navbar-toggler{transition:none}}.navbar-toggler:hover{text-decoration:none}.navbar-toggler:focus{box-shadow:0 0 0 var(--bs-navbar-toggler-focus-width);outline:0;text-decoration:none}.navbar-toggler-icon{background-image:var(--bs-navbar-toggler-icon-bg);background-position:50%;background-repeat:no-repeat;background-size:100%;display:inline-block;height:1.5em;vertical-align:middle;width:1.5em}.navbar-nav-scroll{max-height:var(--bs-scroll-height,75vh);overflow-y:auto}@media (min-width:992px){.navbar-expand-lg{flex-wrap:nowrap;justify-content:flex-start}.navbar-expand-lg .navbar-nav{flex-direction:row}.navbar-expand-lg .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-lg .navbar-nav .nav-link{padding-left:var(--bs-navbar-nav-link-padding-x);padding-right:var(--bs-navbar-nav-link-padding-x)}.navbar-expand-lg .navbar-nav-scroll{overflow:visible}.navbar-expand-lg .navbar-collapse{display:flex!important;flex-basis:auto}.navbar-expand-lg .navbar-toggler{display:none}.navbar-expand-lg .offcanvas{background-color:transparent!important;border:0!important;flex-grow:1;height:auto!important;position:static;transform:none!important;transition:none;visibility:visible!important;width:auto!important;z-index:auto}.navbar-expand-lg .offcanvas .offcanvas-header{display:none}.navbar-expand-lg .offcanvas .offcanvas-body{display:flex;flex-grow:0;overflow-y:visible;padding:0}}.navbar[data-bs-theme=dark]{--bs-navbar-color:hsla(0,0%,100%,.55);--bs-navbar-hover-color:hsla(0,0%,100%,.75);--bs-navbar-disabled-color:hsla(0,0%,100%,.25);--bs-navbar-active-color:#fff;--bs-navbar-brand-color:#fff;--bs-navbar-brand-hover-color:#fff;--bs-navbar-toggler-border-color:hsla(0,0%,100%,.1)}.navbar[data-bs-theme=dark],[data-bs-theme=dark] .navbar-toggler-icon{--bs-navbar-toggler-icon-bg:url(/opensees-gallery/icons/navbar-dark-toggler-icon-bg.svg)}.card{--bs-card-spacer-y:1rem;--bs-card-spacer-x:1rem;--bs-card-title-spacer-y:0.5rem;--bs-card-title-color: ;--bs-card-subtitle-color: ;--bs-card-border-width:var(--bs-border-width);--bs-card-border-color:var(--bs-border-color-translucent);--bs-card-border-radius:var(--bs-border-radius);--bs-card-box-shadow: ;--bs-card-inner-border-radius:calc(var(--bs-border-radius) - var(--bs-border-width));--bs-card-cap-padding-y:0.5rem;--bs-card-cap-padding-x:1rem;--bs-card-cap-bg:rgba(var(--bs-body-color-rgb),0.03);--bs-card-cap-color: ;--bs-card-height: ;--bs-card-color: ;--bs-card-bg:var(--bs-body-bg);--bs-card-img-overlay-padding:1rem;--bs-card-group-margin:0.75rem;color:var(--bs-body-color);display:flex;flex-direction:column;height:var(--bs-card-height);min-width:0;position:relative;word-wrap:break-word;background-clip:border-box;background-color:var(--bs-card-bg);border:var(--bs-card-border-width) solid var(--bs-card-border-color);border-radius:var(--bs-card-border-radius)}.card>hr{margin-left:0;margin-right:0}.card-body{color:var(--bs-card-color);flex:1 1 auto;padding:var(--bs-card-spacer-y) var(--bs-card-spacer-x)}.card-title{color:var(--bs-card-title-color);margin-bottom:var(--bs-card-title-spacer-y)}.card-text:last-child{margin-bottom:0}.card-img-top{width:100%}.card-img-top{border-top-left-radius:var(--bs-card-inner-border-radius);border-top-right-radius:var(--bs-card-inner-border-radius)}.accordion{--bs-accordion-color:var(--bs-body-color);--bs-accordion-bg:var(--bs-body-bg);--bs-accordion-transition:color 0.15s ease-in-out,background-color 0.15s ease-in-out,border-color 0.15s ease-in-out,box-shadow 0.15s ease-in-out,border-radius 0.15s ease;--bs-accordion-border-color:var(--bs-border-color);--bs-accordion-border-width:var(--bs-border-width);--bs-accordion-border-radius:var(--bs-border-radius);--bs-accordion-inner-border-radius:calc(var(--bs-border-radius) - var(--bs-border-width));--bs-accordion-btn-padding-x:1.25rem;--bs-accordion-btn-padding-y:1rem;--bs-accordion-btn-color:var(--bs-body-color);--bs-accordion-btn-bg:var(--bs-accordion-bg);--bs-accordion-btn-icon:url(/opensees-gallery/icons/accordion-button-icon.svg);--bs-accordion-btn-icon-width:1.25rem;--bs-accordion-btn-icon-transform:rotate(-180deg);--bs-accordion-btn-icon-transition:transform 0.2s ease-in-out;--bs-accordion-btn-active-icon:url(/opensees-gallery/icons/accordion-button-active-icon.svg);--bs-accordion-btn-focus-box-shadow:0 0 0 0.25rem rgba(0,50,98,.25);--bs-accordion-body-padding-x:1.25rem;--bs-accordion-body-padding-y:1rem;--bs-accordion-active-color:var(--bs-primary-text-emphasis);--bs-accordion-active-bg:var(--bs-primary-bg-subtle)}.accordion-button{align-items:center;background-color:var(--bs-accordion-btn-bg);border:0;border-radius:0;color:var(--bs-accordion-btn-color);display:flex;font-size:1rem;overflow-anchor:none;padding:var(--bs-accordion-btn-padding-y) var(--bs-accordion-btn-padding-x);position:relative;text-align:left;transition:var(--bs-accordion-transition);width:100%}@media (prefers-reduced-motion:reduce){.accordion-button{transition:none}}.accordion-button:not(.collapsed){background-color:var(--bs-accordion-active-bg);box-shadow:inset 0 calc(var(--bs-accordion-border-width)*-1) 0 var(--bs-accordion-border-color);color:var(--bs-accordion-active-color)}.accordion-button:not(.collapsed):after{background-image:var(--bs-accordion-btn-active-icon);transform:var(--bs-accordion-btn-icon-transform)}.accordion-button:after{background-image:var(--bs-accordion-btn-icon);background-repeat:no-repeat;background-size:var(--bs-accordion-btn-icon-width);content:"";flex-shrink:0;height:var(--bs-accordion-btn-icon-width);margin-left:auto;transition:var(--bs-accordion-btn-icon-transition);width:var(--bs-accordion-btn-icon-width)}@media (prefers-reduced-motion:reduce){.accordion-button:after{transition:none}}.accordion-button:hover{z-index:2}.accordion-button:focus{box-shadow:var(--bs-accordion-btn-focus-box-shadow);outline:0;z-index:3}.accordion-header{margin-bottom:0}.accordion-item{background-color:var(--bs-accordion-bg);border:var(--bs-accordion-border-width) solid var(--bs-accordion-border-color);color:var(--bs-accordion-color)}.accordion-item:first-of-type{border-top-left-radius:var(--bs-accordion-border-radius);border-top-right-radius:var(--bs-accordion-border-radius)}.accordion-item:first-of-type>.accordion-header .accordion-button{border-top-left-radius:var(--bs-accordion-inner-border-radius);border-top-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:not(:first-of-type){border-top:0}.accordion-item:last-of-type{border-bottom-left-radius:var(--bs-accordion-border-radius);border-bottom-right-radius:var(--bs-accordion-border-radius)}.accordion-item:last-of-type>.accordion-header .accordion-button.collapsed{border-bottom-left-radius:var(--bs-accordion-inner-border-radius);border-bottom-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:last-of-type>.accordion-collapse{border-bottom-left-radius:var(--bs-accordion-border-radius);border-bottom-right-radius:var(--bs-accordion-border-radius)}.accordion-body{padding:var(--bs-accordion-body-padding-y) var(--bs-accordion-body-padding-x)}.accordion-flush>.accordion-item{border-left:0;border-radius:0;border-right:0}.accordion-flush>.accordion-item:first-child{border-top:0}.accordion-flush>.accordion-item:last-child{border-bottom:0}.accordion-flush>.accordion-item>.accordion-collapse,.accordion-flush>.accordion-item>.accordion-header .accordion-button,.accordion-flush>.accordion-item>.accordion-header .accordion-button.collapsed{border-radius:0}[data-bs-theme=dark] .accordion-button:after{--bs-accordion-btn-icon:url(/opensees-gallery/icons/accordion-button-icon-dark.svg);--bs-accordion-btn-active-icon:url(/opensees-gallery/icons/accordion-button-active-icon-dark.svg)}.pagination{--bs-pagination-padding-x:0.75rem;--bs-pagination-padding-y:0.375rem;--bs-pagination-font-size:1rem;--bs-pagination-color:var(--bs-link-color);--bs-pagination-bg:var(--bs-body-bg);--bs-pagination-border-width:var(--bs-border-width);--bs-pagination-border-color:var(--bs-border-color);--bs-pagination-border-radius:var(--bs-border-radius);--bs-pagination-hover-color:var(--bs-link-hover-color);--bs-pagination-hover-bg:var(--bs-tertiary-bg);--bs-pagination-hover-border-color:var(--bs-border-color);--bs-pagination-focus-color:var(--bs-link-hover-color);--bs-pagination-focus-bg:var(--bs-secondary-bg);--bs-pagination-focus-box-shadow:0 0 0 0.25rem rgba(0,50,98,.25);--bs-pagination-active-color:#fff;--bs-pagination-active-bg:#003262;--bs-pagination-active-border-color:#003262;--bs-pagination-disabled-color:var(--bs-secondary-color);--bs-pagination-disabled-bg:var(--bs-secondary-bg);--bs-pagination-disabled-border-color:var(--bs-border-color);display:flex;list-style:none;padding-left:0}.page-link{background-color:var(--bs-pagination-bg);border:var(--bs-pagination-border-width) solid var(--bs-pagination-border-color);color:var(--bs-pagination-color);display:block;font-size:var(--bs-pagination-font-size);padding:var(--bs-pagination-padding-y) var(--bs-pagination-padding-x);position:relative;text-decoration:none;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media (prefers-reduced-motion:reduce){.page-link{transition:none}}.page-link:hover{background-color:var(--bs-pagination-hover-bg);border-color:var(--bs-pagination-hover-border-color);color:var(--bs-pagination-hover-color);z-index:2}.page-link:focus{background-color:var(--bs-pagination-focus-bg);box-shadow:var(--bs-pagination-focus-box-shadow);color:var(--bs-pagination-focus-color);outline:0;z-index:3}.active>.page-link,.page-link.active{background-color:var(--bs-pagination-active-bg);border-color:var(--bs-pagination-active-border-color);color:var(--bs-pagination-active-color);z-index:3}.disabled>.page-link,.page-link.disabled{background-color:var(--bs-pagination-disabled-bg);border-color:var(--bs-pagination-disabled-border-color);color:var(--bs-pagination-disabled-color);pointer-events:none}.page-item:not(:first-child) .page-link{margin-left:calc(var(--bs-border-width)*-1)}.page-item:first-child .page-link{border-bottom-left-radius:var(--bs-pagination-border-radius);border-top-left-radius:var(--bs-pagination-border-radius)}.page-item:last-child .page-link{border-bottom-right-radius:var(--bs-pagination-border-radius);border-top-right-radius:var(--bs-pagination-border-radius)}.badge{--bs-badge-padding-x:0.65em;--bs-badge-padding-y:0.35em;--bs-badge-font-size:0.75em;--bs-badge-font-weight:600;--bs-badge-color:#fff;--bs-badge-border-radius:var(--bs-border-radius);border-radius:var(--bs-badge-border-radius);color:var(--bs-badge-color);display:inline-block;font-size:var(--bs-badge-font-size);font-weight:var(--bs-badge-font-weight);line-height:1;padding:var(--bs-badge-padding-y) var(--bs-badge-padding-x);text-align:center;vertical-align:baseline;white-space:nowrap}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}@keyframes a{0%{background-position-x:1rem}}.progress{--bs-progress-height:1rem;--bs-progress-font-size:0.75rem;--bs-progress-bg:var(--bs-secondary-bg);--bs-progress-border-radius:var(--bs-border-radius);--bs-progress-box-shadow:var(--bs-box-shadow-inset);--bs-progress-bar-color:#fff;--bs-progress-bar-bg:#003262;--bs-progress-bar-transition:width 0.6s ease;background-color:var(--bs-progress-bg);border-radius:var(--bs-progress-border-radius);display:flex;font-size:var(--bs-progress-font-size);height:var(--bs-progress-height);overflow:hidden}.btn-close{--bs-btn-close-color:#000;--bs-btn-close-bg:url(/opensees-gallery/icons/btn-close-bg.svg);--bs-btn-close-opacity:0.5;--bs-btn-close-hover-opacity:0.75;--bs-btn-close-focus-shadow:0 0 0 0.25rem rgba(0,50,98,.25);--bs-btn-close-focus-opacity:1;--bs-btn-close-disabled-opacity:0.25;--bs-btn-close-white-filter:invert(1) grayscale(100%) brightness(200%);background:transparent var(--bs-btn-close-bg) center/1em auto no-repeat;border:0;border-radius:.375rem;box-sizing:content-box;height:1em;opacity:var(--bs-btn-close-opacity);padding:.25em;width:1em}.btn-close,.btn-close:hover{color:var(--bs-btn-close-color)}.btn-close:hover{opacity:var(--bs-btn-close-hover-opacity);text-decoration:none}.btn-close:focus{box-shadow:var(--bs-btn-close-focus-shadow);opacity:var(--bs-btn-close-focus-opacity);outline:0}.btn-close.disabled,.btn-close:disabled{opacity:var(--bs-btn-close-disabled-opacity);pointer-events:none;-webkit-user-select:none;-moz-user-select:none;user-select:none}[data-bs-theme=dark] .btn-close{filter:var(--bs-btn-close-white-filter)}.toast{--bs-toast-zindex:1090;--bs-toast-padding-x:0.75rem;--bs-toast-padding-y:0.5rem;--bs-toast-spacing:1.5rem;--bs-toast-max-width:350px;--bs-toast-font-size:0.875rem;--bs-toast-color: ;--bs-toast-bg:rgba(var(--bs-body-bg-rgb),0.85);--bs-toast-border-width:var(--bs-border-width);--bs-toast-border-color:var(--bs-border-color-translucent);--bs-toast-border-radius:var(--bs-border-radius);--bs-toast-box-shadow:var(--bs-box-shadow);--bs-toast-header-color:var(--bs-secondary-color);--bs-toast-header-bg:rgba(var(--bs-body-bg-rgb),0.85);--bs-toast-header-border-color:var(--bs-border-color-translucent);background-clip:padding-box;background-color:var(--bs-toast-bg);border:var(--bs-toast-border-width) solid var(--bs-toast-border-color);border-radius:var(--bs-toast-border-radius);box-shadow:var(--bs-toast-box-shadow);color:var(--bs-toast-color);font-size:var(--bs-toast-font-size);max-width:100%;pointer-events:auto;width:var(--bs-toast-max-width)}.toast:not(.show){display:none}.toast-container{--bs-toast-zindex:1090;max-width:100%;pointer-events:none;position:absolute;width:-moz-max-content;width:max-content;z-index:var(--bs-toast-zindex)}.toast-container>:not(:last-child){margin-bottom:var(--bs-toast-spacing)}.toast-header{align-items:center;background-clip:padding-box;background-color:var(--bs-toast-header-bg);border-bottom:var(--bs-toast-border-width) solid var(--bs-toast-header-border-color);border-top-left-radius:calc(var(--bs-toast-border-radius) - var(--bs-toast-border-width));border-top-right-radius:calc(var(--bs-toast-border-radius) - var(--bs-toast-border-width));color:var(--bs-toast-header-color);display:flex;padding:var(--bs-toast-padding-y) var(--bs-toast-padding-x)}.toast-header .btn-close{margin-left:var(--bs-toast-padding-x);margin-right:calc(var(--bs-toast-padding-x)*-.5)}.toast-body{padding:var(--bs-toast-padding-x);word-wrap:break-word}.tooltip{--bs-tooltip-zindex:1080;--bs-tooltip-max-width:200px;--bs-tooltip-padding-x:0.5rem;--bs-tooltip-padding-y:0.25rem;--bs-tooltip-margin: ;--bs-tooltip-font-size:0.875rem;--bs-tooltip-color:var(--bs-body-bg);--bs-tooltip-bg:var(--bs-emphasis-color);--bs-tooltip-border-radius:var(--bs-border-radius);--bs-tooltip-opacity:0.9;--bs-tooltip-arrow-width:0.8rem;--bs-tooltip-arrow-height:0.4rem;display:block;font-family:var(--bs-font-sans-serif);font-size:var(--bs-tooltip-font-size);font-style:normal;font-weight:300;letter-spacing:normal;line-break:auto;line-height:1.5;margin:var(--bs-tooltip-margin);text-align:left;text-align:start;text-decoration:none;text-shadow:none;text-transform:none;white-space:normal;word-break:normal;word-spacing:normal;z-index:var(--bs-tooltip-zindex);word-wrap:break-word;opacity:0}.tooltip.show{opacity:var(--bs-tooltip-opacity)}.tooltip .tooltip-arrow{display:block;height:var(--bs-tooltip-arrow-height);width:var(--bs-tooltip-arrow-width)}.tooltip .tooltip-arrow:before{border-color:transparent;border-style:solid;content:"";position:absolute}.bs-tooltip-auto[data-popper-placement^=top] 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.btn{background-color:var(--bs-btn-disabled-bg);border-color:var(--bs-btn-disabled-border-color);color:var(--bs-btn-disabled-color);opacity:var(--bs-btn-disabled-opacity);pointer-events:none}.btn-primary{--bs-btn-color:#fff;--bs-btn-bg:#003262;--bs-btn-border-color:#003262;--bs-btn-hover-color:#fff;--bs-btn-hover-bg:#002b53;--bs-btn-hover-border-color:#00284e;--bs-btn-focus-shadow-rgb:38,81,122;--bs-btn-active-color:#fff;--bs-btn-active-bg:#00284e;--bs-btn-active-border-color:#00264a;--bs-btn-active-shadow:inset 0 3px 5px rgba(0,0,0,.125);--bs-btn-disabled-color:#fff;--bs-btn-disabled-bg:#003262;--bs-btn-disabled-border-color:#003262}.btn-light{--bs-btn-color:#000;--bs-btn-bg:#f8f9fa;--bs-btn-border-color:#f8f9fa;--bs-btn-hover-color:#000;--bs-btn-hover-bg:#d3d4d5;--bs-btn-hover-border-color:#c6c7c8;--bs-btn-focus-shadow-rgb:211,212,213;--bs-btn-active-color:#000;--bs-btn-active-bg:#c6c7c8;--bs-btn-active-border-color:#babbbc;--bs-btn-active-shadow:inset 0 3px 5px 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rgba(0,0,0,.125);--bs-btn-disabled-color:#6c757d;--bs-btn-disabled-bg:transparent;--bs-btn-disabled-border-color:#6c757d;--bs-gradient:none}.btn-sm{--bs-btn-padding-y:0.25rem;--bs-btn-padding-x:0.5rem;--bs-btn-font-size:0.875rem;--bs-btn-border-radius:var(--bs-border-radius-sm)}.fade{transition:opacity .15s linear}@media (prefers-reduced-motion:reduce){.fade{transition:none}}.fade:not(.show){opacity:0}.collapse:not(.show){display:none}.collapsing{height:0;overflow:hidden;transition:height .35s ease}@media (prefers-reduced-motion:reduce){.collapsing{transition:none}}.collapsing.collapse-horizontal{height:auto;transition:width .35s ease;width:0}@media (prefers-reduced-motion:reduce){.collapsing.collapse-horizontal{transition:none}}.dropdown,.dropdown-center,.dropend,.dropstart,.dropup,.dropup-center{position:relative}.dropdown-toggle{white-space:nowrap}.dropdown-toggle:after{border-bottom:0;border-left:.3em solid transparent;border-right:.3em solid transparent;border-top:.3em solid;content:"";display:inline-block;margin-left:.255em;vertical-align:.255em}.dropdown-toggle:empty:after{margin-left:0}.dropdown-menu{--bs-dropdown-zindex:1000;--bs-dropdown-min-width:10rem;--bs-dropdown-padding-x:0;--bs-dropdown-padding-y:0.5rem;--bs-dropdown-spacer:0.125rem;--bs-dropdown-font-size:1rem;--bs-dropdown-color:var(--bs-body-color);--bs-dropdown-bg:var(--bs-body-bg);--bs-dropdown-border-color:var(--bs-border-color-translucent);--bs-dropdown-border-radius:var(--bs-border-radius);--bs-dropdown-border-width:var(--bs-border-width);--bs-dropdown-inner-border-radius:calc(var(--bs-border-radius) - var(--bs-border-width));--bs-dropdown-divider-bg:var(--bs-border-color-translucent);--bs-dropdown-divider-margin-y:0.5rem;--bs-dropdown-box-shadow:var(--bs-box-shadow);--bs-dropdown-link-color:var(--bs-body-color);--bs-dropdown-link-hover-color:var(--bs-body-color);--bs-dropdown-link-hover-bg:var(--bs-tertiary-bg);--bs-dropdown-link-active-color:#fff;--bs-dropdown-link-active-bg:#003262;--bs-dropdown-link-disabled-color:var(--bs-tertiary-color);--bs-dropdown-item-padding-x:1rem;--bs-dropdown-item-padding-y:0.25rem;--bs-dropdown-header-color:#6c757d;--bs-dropdown-header-padding-x:1rem;--bs-dropdown-header-padding-y:0.5rem;background-clip:padding-box;background-color:var(--bs-dropdown-bg);border:var(--bs-dropdown-border-width) solid var(--bs-dropdown-border-color);border-radius:var(--bs-dropdown-border-radius);color:var(--bs-dropdown-color);display:none;font-size:var(--bs-dropdown-font-size);list-style:none;margin:0;min-width:var(--bs-dropdown-min-width);padding:var(--bs-dropdown-padding-y) var(--bs-dropdown-padding-x);position:absolute;text-align:left;z-index:var(--bs-dropdown-zindex)}.dropdown-menu[data-bs-popper]{left:0;margin-top:var(--bs-dropdown-spacer);top:100%}.dropup .dropdown-menu[data-bs-popper]{bottom:100%;margin-bottom:var(--bs-dropdown-spacer);margin-top:0;top:auto}.dropup .dropdown-toggle:after{border-bottom:.3em solid;border-left:.3em solid transparent;border-right:.3em solid transparent;border-top:0;content:"";display:inline-block;margin-left:.255em;vertical-align:.255em}.dropup .dropdown-toggle:empty:after{margin-left:0}.dropend .dropdown-menu[data-bs-popper]{left:100%;margin-left:var(--bs-dropdown-spacer);margin-top:0;right:auto;top:0}.dropend .dropdown-toggle:after{border-bottom:.3em solid transparent;border-left:.3em solid;border-right:0;border-top:.3em solid transparent;content:"";display:inline-block;margin-left:.255em;vertical-align:.255em}.dropend .dropdown-toggle:empty:after{margin-left:0}.dropend .dropdown-toggle:after{vertical-align:0}.dropstart .dropdown-menu[data-bs-popper]{left:auto;margin-right:var(--bs-dropdown-spacer);margin-top:0;right:100%;top:0}.dropstart .dropdown-toggle:after{content:"";display:inline-block;display:none;margin-left:.255em;vertical-align:.255em}.dropstart .dropdown-toggle:before{border-bottom:.3em solid transparent;border-right:.3em solid;border-top:.3em solid transparent;content:"";display:inline-block;margin-right:.255em;vertical-align:.255em}.dropstart .dropdown-toggle:empty:after{margin-left:0}.dropstart .dropdown-toggle:before{vertical-align:0}.dropdown-divider{border-top:1px solid var(--bs-dropdown-divider-bg);height:0;margin:var(--bs-dropdown-divider-margin-y) 0;opacity:1;overflow:hidden}.dropdown-item{background-color:transparent;border:0;border-radius:var(--bs-dropdown-item-border-radius,0);clear:both;color:var(--bs-dropdown-link-color);display:block;font-weight:300;padding:var(--bs-dropdown-item-padding-y) var(--bs-dropdown-item-padding-x);text-align:inherit;text-decoration:none;white-space:nowrap;width:100%}.dropdown-item:focus,.dropdown-item:hover{background-color:var(--bs-dropdown-link-hover-bg);color:var(--bs-dropdown-link-hover-color)}.dropdown-item.active,.dropdown-item:active{background-color:var(--bs-dropdown-link-active-bg);color:var(--bs-dropdown-link-active-color);text-decoration:none}.dropdown-item.disabled,.dropdown-item:disabled{background-color:transparent;color:var(--bs-dropdown-link-disabled-color);pointer-events:none}.dropdown-menu.show{display:block}.dropdown-header{color:var(--bs-dropdown-header-color);display:block;font-size:.875rem;margin-bottom:0;padding:var(--bs-dropdown-header-padding-y) var(--bs-dropdown-header-padding-x);white-space:nowrap}.dropdown-item-text{color:var(--bs-dropdown-link-color);display:block;padding:var(--bs-dropdown-item-padding-y) var(--bs-dropdown-item-padding-x)}.dropdown-menu-dark{--bs-dropdown-color:#dee2e6;--bs-dropdown-bg:#343a40;--bs-dropdown-border-color:var(--bs-border-color-translucent);--bs-dropdown-box-shadow: ;--bs-dropdown-link-color:#dee2e6;--bs-dropdown-link-hover-color:#fff;--bs-dropdown-divider-bg:var(--bs-border-color-translucent);--bs-dropdown-link-hover-bg:hsla(0,0%,100%,.15);--bs-dropdown-link-active-color:#fff;--bs-dropdown-link-active-bg:#003262;--bs-dropdown-link-disabled-color:#adb5bd;--bs-dropdown-header-color:#adb5bd}.nav{--bs-nav-link-padding-x:1rem;--bs-nav-link-padding-y:0.5rem;--bs-nav-link-font-weight: ;--bs-nav-link-color:var(--bs-link-color);--bs-nav-link-hover-color:var(--bs-link-hover-color);--bs-nav-link-disabled-color:var(--bs-secondary-color);display:flex;flex-wrap:wrap;list-style:none;margin-bottom:0;padding-left:0}.nav-link{background:none;border:0;color:var(--bs-nav-link-color);display:block;font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);padding:var(--bs-nav-link-padding-y) var(--bs-nav-link-padding-x);text-decoration:none;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out}@media (prefers-reduced-motion:reduce){.nav-link{transition:none}}.nav-link:focus,.nav-link:hover{color:var(--bs-nav-link-hover-color)}.nav-link:focus-visible{box-shadow:0 0 0 .25rem rgba(0,50,98,.25);outline:0}.nav-link.disabled,.nav-link:disabled{color:var(--bs-nav-link-disabled-color);cursor:default;pointer-events:none}.nav-tabs{--bs-nav-tabs-border-width:var(--bs-border-width);--bs-nav-tabs-border-color:var(--bs-border-color);--bs-nav-tabs-border-radius:var(--bs-border-radius);--bs-nav-tabs-link-hover-border-color:var(--bs-secondary-bg) var(--bs-secondary-bg) var(--bs-border-color);--bs-nav-tabs-link-active-color:var(--bs-emphasis-color);--bs-nav-tabs-link-active-bg:var(--bs-body-bg);--bs-nav-tabs-link-active-border-color:var(--bs-border-color) var(--bs-border-color) var(--bs-body-bg);border-bottom:var(--bs-nav-tabs-border-width) solid var(--bs-nav-tabs-border-color)}.nav-tabs .nav-link{border:var(--bs-nav-tabs-border-width) solid transparent;border-top-left-radius:var(--bs-nav-tabs-border-radius);border-top-right-radius:var(--bs-nav-tabs-border-radius);margin-bottom:calc(var(--bs-nav-tabs-border-width)*-1)}.nav-tabs .nav-link:focus,.nav-tabs .nav-link:hover{border-color:var(--bs-nav-tabs-link-hover-border-color);isolation:isolate}.nav-tabs .nav-item.show .nav-link,.nav-tabs .nav-link.active{background-color:var(--bs-nav-tabs-link-active-bg);border-color:var(--bs-nav-tabs-link-active-border-color);color:var(--bs-nav-tabs-link-active-color)}.nav-tabs .dropdown-menu{border-top-left-radius:0;border-top-right-radius:0;margin-top:calc(var(--bs-nav-tabs-border-width)*-1)}.tab-content>.tab-pane{display:none}.tab-content>.active{display:block}.navbar{--bs-navbar-padding-x:0;--bs-navbar-padding-y:0.5rem;--bs-navbar-color:rgba(var(--bs-emphasis-color-rgb),0.65);--bs-navbar-hover-color:rgba(var(--bs-emphasis-color-rgb),0.8);--bs-navbar-disabled-color:rgba(var(--bs-emphasis-color-rgb),0.3);--bs-navbar-active-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-brand-padding-y:0.3125rem;--bs-navbar-brand-margin-end:1rem;--bs-navbar-brand-font-size:1.25rem;--bs-navbar-brand-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-brand-hover-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-nav-link-padding-x:0.5rem;--bs-navbar-toggler-padding-y:0.25rem;--bs-navbar-toggler-padding-x:0.75rem;--bs-navbar-toggler-font-size:1.25rem;--bs-navbar-toggler-icon-bg:url(/opensees-gallery/icons/navbar-light-toggler-icon-bg.svg);--bs-navbar-toggler-border-color:rgba(var(--bs-emphasis-color-rgb),0.15);--bs-navbar-toggler-border-radius:var(--bs-border-radius);--bs-navbar-toggler-focus-width:0;--bs-navbar-toggler-transition:box-shadow 0.15s ease-in-out;align-items:center;display:flex;flex-wrap:wrap;justify-content:space-between;padding:var(--bs-navbar-padding-y) var(--bs-navbar-padding-x);position:relative}.navbar>.container,.navbar>.container-fluid,.navbar>.container-xxl{align-items:center;display:flex;flex-wrap:inherit;justify-content:space-between}.navbar-brand{color:var(--bs-navbar-brand-color);font-size:var(--bs-navbar-brand-font-size);margin-right:var(--bs-navbar-brand-margin-end);padding-bottom:var(--bs-navbar-brand-padding-y);padding-top:var(--bs-navbar-brand-padding-y);text-decoration:none;white-space:nowrap}.navbar-brand:focus,.navbar-brand:hover{color:var(--bs-navbar-brand-hover-color)}.navbar-nav{--bs-nav-link-padding-x:0;--bs-nav-link-padding-y:0.5rem;--bs-nav-link-font-weight: ;--bs-nav-link-color:var(--bs-navbar-color);--bs-nav-link-hover-color:var(--bs-navbar-hover-color);--bs-nav-link-disabled-color:var(--bs-navbar-disabled-color);display:flex;flex-direction:column;list-style:none;margin-bottom:0;padding-left:0}.navbar-nav .nav-link.active,.navbar-nav .nav-link.show{color:var(--bs-navbar-active-color)}.navbar-nav .dropdown-menu{position:static}.navbar-collapse{align-items:center;flex-basis:100%;flex-grow:1}.navbar-toggler{background-color:transparent;border:var(--bs-border-width) solid var(--bs-navbar-toggler-border-color);border-radius:var(--bs-navbar-toggler-border-radius);color:var(--bs-navbar-color);font-size:var(--bs-navbar-toggler-font-size);line-height:1;padding:var(--bs-navbar-toggler-padding-y) var(--bs-navbar-toggler-padding-x);transition:var(--bs-navbar-toggler-transition)}@media (prefers-reduced-motion:reduce){.navbar-toggler{transition:none}}.navbar-toggler:hover{text-decoration:none}.navbar-toggler:focus{box-shadow:0 0 0 var(--bs-navbar-toggler-focus-width);outline:0;text-decoration:none}.navbar-toggler-icon{background-image:var(--bs-navbar-toggler-icon-bg);background-position:50%;background-repeat:no-repeat;background-size:100%;display:inline-block;height:1.5em;vertical-align:middle;width:1.5em}.navbar-nav-scroll{max-height:var(--bs-scroll-height,75vh);overflow-y:auto}@media (min-width:992px){.navbar-expand-lg{flex-wrap:nowrap;justify-content:flex-start}.navbar-expand-lg .navbar-nav{flex-direction:row}.navbar-expand-lg .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-lg .navbar-nav .nav-link{padding-left:var(--bs-navbar-nav-link-padding-x);padding-right:var(--bs-navbar-nav-link-padding-x)}.navbar-expand-lg .navbar-nav-scroll{overflow:visible}.navbar-expand-lg .navbar-collapse{display:flex!important;flex-basis:auto}.navbar-expand-lg .navbar-toggler{display:none}.navbar-expand-lg .offcanvas{background-color:transparent!important;border:0!important;flex-grow:1;height:auto!important;position:static;transform:none!important;transition:none;visibility:visible!important;width:auto!important;z-index:auto}.navbar-expand-lg .offcanvas .offcanvas-header{display:none}.navbar-expand-lg .offcanvas .offcanvas-body{display:flex;flex-grow:0;overflow-y:visible;padding:0}}.navbar[data-bs-theme=dark]{--bs-navbar-color:hsla(0,0%,100%,.55);--bs-navbar-hover-color:hsla(0,0%,100%,.75);--bs-navbar-disabled-color:hsla(0,0%,100%,.25);--bs-navbar-active-color:#fff;--bs-navbar-brand-color:#fff;--bs-navbar-brand-hover-color:#fff;--bs-navbar-toggler-border-color:hsla(0,0%,100%,.1)}.navbar[data-bs-theme=dark],[data-bs-theme=dark] .navbar-toggler-icon{--bs-navbar-toggler-icon-bg:url(/opensees-gallery/icons/navbar-dark-toggler-icon-bg.svg)}.card{--bs-card-spacer-y:1rem;--bs-card-spacer-x:1rem;--bs-card-title-spacer-y:0.5rem;--bs-card-title-color: ;--bs-card-subtitle-color: ;--bs-card-border-width:var(--bs-border-width);--bs-card-border-color:var(--bs-border-color-translucent);--bs-card-border-radius:var(--bs-border-radius);--bs-card-box-shadow: ;--bs-card-inner-border-radius:calc(var(--bs-border-radius) - var(--bs-border-width));--bs-card-cap-padding-y:0.5rem;--bs-card-cap-padding-x:1rem;--bs-card-cap-bg:rgba(var(--bs-body-color-rgb),0.03);--bs-card-cap-color: ;--bs-card-height: ;--bs-card-color: ;--bs-card-bg:var(--bs-body-bg);--bs-card-img-overlay-padding:1rem;--bs-card-group-margin:0.75rem;color:var(--bs-body-color);display:flex;flex-direction:column;height:var(--bs-card-height);min-width:0;position:relative;word-wrap:break-word;background-clip:border-box;background-color:var(--bs-card-bg);border:var(--bs-card-border-width) solid var(--bs-card-border-color);border-radius:var(--bs-card-border-radius)}.card>hr{margin-left:0;margin-right:0}.card-body{color:var(--bs-card-color);flex:1 1 auto;padding:var(--bs-card-spacer-y) var(--bs-card-spacer-x)}.card-title{color:var(--bs-card-title-color);margin-bottom:var(--bs-card-title-spacer-y)}.card-text:last-child{margin-bottom:0}.card-img-top{width:100%}.card-img-top{border-top-left-radius:var(--bs-card-inner-border-radius);border-top-right-radius:var(--bs-card-inner-border-radius)}.accordion{--bs-accordion-color:var(--bs-body-color);--bs-accordion-bg:var(--bs-body-bg);--bs-accordion-transition:color 0.15s ease-in-out,background-color 0.15s ease-in-out,border-color 0.15s ease-in-out,box-shadow 0.15s ease-in-out,border-radius 0.15s ease;--bs-accordion-border-color:var(--bs-border-color);--bs-accordion-border-width:var(--bs-border-width);--bs-accordion-border-radius:var(--bs-border-radius);--bs-accordion-inner-border-radius:calc(var(--bs-border-radius) - var(--bs-border-width));--bs-accordion-btn-padding-x:1.25rem;--bs-accordion-btn-padding-y:1rem;--bs-accordion-btn-color:var(--bs-body-color);--bs-accordion-btn-bg:var(--bs-accordion-bg);--bs-accordion-btn-icon:url(/opensees-gallery/icons/accordion-button-icon.svg);--bs-accordion-btn-icon-width:1.25rem;--bs-accordion-btn-icon-transform:rotate(-180deg);--bs-accordion-btn-icon-transition:transform 0.2s ease-in-out;--bs-accordion-btn-active-icon:url(/opensees-gallery/icons/accordion-button-active-icon.svg);--bs-accordion-btn-focus-box-shadow:0 0 0 0.25rem rgba(0,50,98,.25);--bs-accordion-body-padding-x:1.25rem;--bs-accordion-body-padding-y:1rem;--bs-accordion-active-color:var(--bs-primary-text-emphasis);--bs-accordion-active-bg:var(--bs-primary-bg-subtle)}.accordion-button{align-items:center;background-color:var(--bs-accordion-btn-bg);border:0;border-radius:0;color:var(--bs-accordion-btn-color);display:flex;font-size:1rem;overflow-anchor:none;padding:var(--bs-accordion-btn-padding-y) var(--bs-accordion-btn-padding-x);position:relative;text-align:left;transition:var(--bs-accordion-transition);width:100%}@media (prefers-reduced-motion:reduce){.accordion-button{transition:none}}.accordion-button:not(.collapsed){background-color:var(--bs-accordion-active-bg);box-shadow:inset 0 calc(var(--bs-accordion-border-width)*-1) 0 var(--bs-accordion-border-color);color:var(--bs-accordion-active-color)}.accordion-button:not(.collapsed):after{background-image:var(--bs-accordion-btn-active-icon);transform:var(--bs-accordion-btn-icon-transform)}.accordion-button:after{background-image:var(--bs-accordion-btn-icon);background-repeat:no-repeat;background-size:var(--bs-accordion-btn-icon-width);content:"";flex-shrink:0;height:var(--bs-accordion-btn-icon-width);margin-left:auto;transition:var(--bs-accordion-btn-icon-transition);width:var(--bs-accordion-btn-icon-width)}@media (prefers-reduced-motion:reduce){.accordion-button:after{transition:none}}.accordion-button:hover{z-index:2}.accordion-button:focus{box-shadow:var(--bs-accordion-btn-focus-box-shadow);outline:0;z-index:3}.accordion-header{margin-bottom:0}.accordion-item{background-color:var(--bs-accordion-bg);border:var(--bs-accordion-border-width) solid var(--bs-accordion-border-color);color:var(--bs-accordion-color)}.accordion-item:first-of-type{border-top-left-radius:var(--bs-accordion-border-radius);border-top-right-radius:var(--bs-accordion-border-radius)}.accordion-item:first-of-type>.accordion-header .accordion-button{border-top-left-radius:var(--bs-accordion-inner-border-radius);border-top-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:not(:first-of-type){border-top:0}.accordion-item:last-of-type{border-bottom-left-radius:var(--bs-accordion-border-radius);border-bottom-right-radius:var(--bs-accordion-border-radius)}.accordion-item:last-of-type>.accordion-header .accordion-button.collapsed{border-bottom-left-radius:var(--bs-accordion-inner-border-radius);border-bottom-right-radius:var(--bs-accordion-inner-border-radius)}.accordion-item:last-of-type>.accordion-collapse{border-bottom-left-radius:var(--bs-accordion-border-radius);border-bottom-right-radius:var(--bs-accordion-border-radius)}.accordion-body{padding:var(--bs-accordion-body-padding-y) var(--bs-accordion-body-padding-x)}.accordion-flush>.accordion-item{border-left:0;border-radius:0;border-right:0}.accordion-flush>.accordion-item:first-child{border-top:0}.accordion-flush>.accordion-item:last-child{border-bottom:0}.accordion-flush>.accordion-item>.accordion-collapse,.accordion-flush>.accordion-item>.accordion-header .accordion-button,.accordion-flush>.accordion-item>.accordion-header .accordion-button.collapsed{border-radius:0}[data-bs-theme=dark] .accordion-button:after{--bs-accordion-btn-icon:url(/opensees-gallery/icons/accordion-button-icon-dark.svg);--bs-accordion-btn-active-icon:url(/opensees-gallery/icons/accordion-button-active-icon-dark.svg)}.pagination{--bs-pagination-padding-x:0.75rem;--bs-pagination-padding-y:0.375rem;--bs-pagination-font-size:1rem;--bs-pagination-color:var(--bs-link-color);--bs-pagination-bg:var(--bs-body-bg);--bs-pagination-border-width:var(--bs-border-width);--bs-pagination-border-color:var(--bs-border-color);--bs-pagination-border-radius:var(--bs-border-radius);--bs-pagination-hover-color:var(--bs-link-hover-color);--bs-pagination-hover-bg:var(--bs-tertiary-bg);--bs-pagination-hover-border-color:var(--bs-border-color);--bs-pagination-focus-color:var(--bs-link-hover-color);--bs-pagination-focus-bg:var(--bs-secondary-bg);--bs-pagination-focus-box-shadow:0 0 0 0.25rem rgba(0,50,98,.25);--bs-pagination-active-color:#fff;--bs-pagination-active-bg:#003262;--bs-pagination-active-border-color:#003262;--bs-pagination-disabled-color:var(--bs-secondary-color);--bs-pagination-disabled-bg:var(--bs-secondary-bg);--bs-pagination-disabled-border-color:var(--bs-border-color);display:flex;list-style:none;padding-left:0}.page-link{background-color:var(--bs-pagination-bg);border:var(--bs-pagination-border-width) solid var(--bs-pagination-border-color);color:var(--bs-pagination-color);display:block;font-size:var(--bs-pagination-font-size);padding:var(--bs-pagination-padding-y) var(--bs-pagination-padding-x);position:relative;text-decoration:none;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media (prefers-reduced-motion:reduce){.page-link{transition:none}}.page-link:hover{background-color:var(--bs-pagination-hover-bg);border-color:var(--bs-pagination-hover-border-color);color:var(--bs-pagination-hover-color);z-index:2}.page-link:focus{background-color:var(--bs-pagination-focus-bg);box-shadow:var(--bs-pagination-focus-box-shadow);color:var(--bs-pagination-focus-color);outline:0;z-index:3}.active>.page-link,.page-link.active{background-color:var(--bs-pagination-active-bg);border-color:var(--bs-pagination-active-border-color);color:var(--bs-pagination-active-color);z-index:3}.disabled>.page-link,.page-link.disabled{background-color:var(--bs-pagination-disabled-bg);border-color:var(--bs-pagination-disabled-border-color);color:var(--bs-pagination-disabled-color);pointer-events:none}.page-item:not(:first-child) .page-link{margin-left:calc(var(--bs-border-width)*-1)}.page-item:first-child .page-link{border-bottom-left-radius:var(--bs-pagination-border-radius);border-top-left-radius:var(--bs-pagination-border-radius)}.page-item:last-child .page-link{border-bottom-right-radius:var(--bs-pagination-border-radius);border-top-right-radius:var(--bs-pagination-border-radius)}.badge{--bs-badge-padding-x:0.65em;--bs-badge-padding-y:0.35em;--bs-badge-font-size:0.75em;--bs-badge-font-weight:600;--bs-badge-color:#fff;--bs-badge-border-radius:var(--bs-border-radius);border-radius:var(--bs-badge-border-radius);color:var(--bs-badge-color);display:inline-block;font-size:var(--bs-badge-font-size);font-weight:var(--bs-badge-font-weight);line-height:1;padding:var(--bs-badge-padding-y) var(--bs-badge-padding-x);text-align:center;vertical-align:baseline;white-space:nowrap}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}@keyframes a{0%{background-position-x:1rem}}.progress{--bs-progress-height:1rem;--bs-progress-font-size:0.75rem;--bs-progress-bg:var(--bs-secondary-bg);--bs-progress-border-radius:var(--bs-border-radius);--bs-progress-box-shadow:var(--bs-box-shadow-inset);--bs-progress-bar-color:#fff;--bs-progress-bar-bg:#003262;--bs-progress-bar-transition:width 0.6s ease;background-color:var(--bs-progress-bg);border-radius:var(--bs-progress-border-radius);display:flex;font-size:var(--bs-progress-font-size);height:var(--bs-progress-height);overflow:hidden}.btn-close{--bs-btn-close-color:#000;--bs-btn-close-bg:url(/opensees-gallery/icons/btn-close-bg.svg);--bs-btn-close-opacity:0.5;--bs-btn-close-hover-opacity:0.75;--bs-btn-close-focus-shadow:0 0 0 0.25rem rgba(0,50,98,.25);--bs-btn-close-focus-opacity:1;--bs-btn-close-disabled-opacity:0.25;--bs-btn-close-white-filter:invert(1) grayscale(100%) brightness(200%);background:transparent var(--bs-btn-close-bg) center/1em auto no-repeat;border:0;border-radius:.375rem;box-sizing:content-box;height:1em;opacity:var(--bs-btn-close-opacity);padding:.25em;width:1em}.btn-close,.btn-close:hover{color:var(--bs-btn-close-color)}.btn-close:hover{opacity:var(--bs-btn-close-hover-opacity);text-decoration:none}.btn-close:focus{box-shadow:var(--bs-btn-close-focus-shadow);opacity:var(--bs-btn-close-focus-opacity);outline:0}.btn-close.disabled,.btn-close:disabled{opacity:var(--bs-btn-close-disabled-opacity);pointer-events:none;-webkit-user-select:none;-moz-user-select:none;user-select:none}[data-bs-theme=dark] .btn-close{filter:var(--bs-btn-close-white-filter)}.toast{--bs-toast-zindex:1090;--bs-toast-padding-x:0.75rem;--bs-toast-padding-y:0.5rem;--bs-toast-spacing:1.5rem;--bs-toast-max-width:350px;--bs-toast-font-size:0.875rem;--bs-toast-color: ;--bs-toast-bg:rgba(var(--bs-body-bg-rgb),0.85);--bs-toast-border-width:var(--bs-border-width);--bs-toast-border-color:var(--bs-border-color-translucent);--bs-toast-border-radius:var(--bs-border-radius);--bs-toast-box-shadow:var(--bs-box-shadow);--bs-toast-header-color:var(--bs-secondary-color);--bs-toast-header-bg:rgba(var(--bs-body-bg-rgb),0.85);--bs-toast-header-border-color:var(--bs-border-color-translucent);background-clip:padding-box;background-color:var(--bs-toast-bg);border:var(--bs-toast-border-width) solid 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[data-bs-target]{background-clip:padding-box;background-color:#fff;border:0;border-bottom:10px solid transparent;border-top:10px solid transparent;box-sizing:content-box;cursor:pointer;flex:0 1 auto;height:3px;margin-left:3px;margin-right:3px;opacity:.5;padding:0;text-indent:-999px;transition:opacity .6s ease;width:30px}@media (prefers-reduced-motion:reduce){.carousel-indicators [data-bs-target]{transition:none}}.carousel-indicators .active{opacity:1}.carousel-caption{bottom:1.25rem;color:#fff;left:15%;padding-bottom:1.25rem;padding-top:1.25rem;position:absolute;right:15%;text-align:center}.carousel-dark .carousel-control-next-icon,.carousel-dark .carousel-control-prev-icon{filter:invert(0) grayscale(100)}.carousel-dark .carousel-indicators [data-bs-target]{background-color:#fff}.carousel-dark .carousel-caption{color:#fff}[data-bs-theme=dark] .carousel .carousel-control-next-icon,[data-bs-theme=dark] .carousel .carousel-control-prev-icon,[data-bs-theme=dark].carousel 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0}}.text-bg-info{background-color:RGBA(var(--bs-info-rgb),var(--bs-bg-opacity,1))!important;color:#000!important}.text-bg-warning{background-color:RGBA(var(--bs-warning-rgb),var(--bs-bg-opacity,1))!important;color:#000!important}.link-info{color:RGBA(var(--bs-info-rgb),var(--bs-link-opacity,1))!important;text-decoration-color:RGBA(var(--bs-info-rgb),var(--bs-link-underline-opacity,1))!important}.link-info:focus,.link-info:hover{color:RGBA(61,213,243,var(--bs-link-opacity,1))!important;text-decoration-color:RGBA(61,213,243,var(--bs-link-underline-opacity,1))!important}.link-warning{color:RGBA(var(--bs-warning-rgb),var(--bs-link-opacity,1))!important;text-decoration-color:RGBA(var(--bs-warning-rgb),var(--bs-link-underline-opacity,1))!important}.link-warning:focus,.link-warning:hover{color:RGBA(255,205,57,var(--bs-link-opacity,1))!important;text-decoration-color:RGBA(255,205,57,var(--bs-link-underline-opacity,1))!important}.fixed-top{top:0}.fixed-top{left:0;position:fixed;right:0;z-index:1030}.sticky-top{top:0}.sticky-top{position:sticky;z-index:1020}.hstack{align-items:center;flex-direction:row}.hstack{align-self:stretch;display:flex}.stretched-link:after{bottom:0;content:"";left:0;position:absolute;right:0;top:0;z-index:1}.vr{align-self:stretch;background-color:currentcolor;display:inline-block;min-height:1em;opacity:.25;width:var(--bs-border-width)}@media (min-width:576px){.d-sm-block{display:block!important}}@media (min-width:768px){.d-md-block{display:block!important}.d-md-none{display:none!important}.mx-md-0{margin-left:0!important;margin-right:0!important}.my-md-0{margin-bottom:0!important;margin-top:0!important}.ms-md-3{margin-left:1rem!important}.pt-md-0{padding-top:0!important}.pt-md-3{padding-top:1rem!important}}@media (min-width:992px){.d-lg-block{display:block!important}.mt-lg-0{margin-top:0!important}.mb-lg-5{margin-bottom:3rem!important}}@media (min-width:1400px){.px-xxl-0{padding-left:0!important;padding-right:0!important}}@media (min-width:1200px){.fs-3{font-size:1.75rem!important}}[data-bs-theme=dark]{--bs-primary:#6684a1;--bs-secondary:#a7acb1;--bs-primary-dark:#00284e;--bs-primary-bg-subtle:#00284e;--bg-primary-subtle:rgba(var(--bs-primary-rgb),var(--bs-link-opacity,0.1))}[data-bs-theme=dark] .accordion-button{background-color:var(--bg-primary-subtle)}[data-bs-theme=dark] .btn-outline-primary{--bs-btn-color:var(--bs-primary);--bs-btn-border-color:var(--bs-primary);--bs-btn-hover-bg:var(--bs-primary);--bs-btn-hover-border-color:var(--bs-primary);--bs-btn-active-bg:var(--bs-primary);--bs-btn-active-border-color:var(--bs-primary);--bs-btn-disabled-color:var(--bs-primary);--bs-btn-disabled-border-color:var(--bs-primary)}[data-bs-theme=dark] .btn-outline-secondary{--bs-btn-color:var(--bs-secondary);--bs-btn-border-color:var(--bs-secondary);--bs-btn-hover-bg:var(--bs-secondary);--bs-btn-hover-border-color:var(--bs-secondary);--bs-btn-active-bg:var(--bs-secondary);--bs-btn-active-border-color:var(--bs-secondary);--bs-btn-disabled-color:var(--bs-secondary);--bs-btn-disabled-border-color:var(--bs-secondary)}[data-bs-theme=dark] .pagination{--bs-pagination-color:var(--bs-body-bg);--bs-pagination-bg:var(--bs-primary)}[data-bs-theme=dark] .progress{--bs-progress-bar-bg:var(--bs-primary)}[data-bs-theme=dark] 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;--bs-dropdown-link-color:#dee2e6;--bs-dropdown-link-hover-color:#fff;--bs-dropdown-divider-bg:var(--bs-border-color-translucent);--bs-dropdown-link-hover-bg:hsla(0,0%,100%,.15);--bs-dropdown-link-active-color:#fff;--bs-dropdown-link-active-bg:#003262;--bs-dropdown-link-disabled-color:#adb5bd;--bs-dropdown-header-color:#adb5bd}.nav{--bs-nav-link-padding-x:1rem;--bs-nav-link-padding-y:0.5rem;--bs-nav-link-font-weight: ;--bs-nav-link-color:var(--bs-link-color);--bs-nav-link-hover-color:var(--bs-link-hover-color);--bs-nav-link-disabled-color:var(--bs-secondary-color);display:flex;flex-wrap:wrap;list-style:none;margin-bottom:0;padding-left:0}.nav-link{background:0 0;border:0;color:var(--bs-nav-link-color);display:block;font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);padding:var(--bs-nav-link-padding-y)var(--bs-nav-link-padding-x);text-decoration:none;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s 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.dropdown-menu{border-top-left-radius:0;border-top-right-radius:0;margin-top:calc(var(--bs-nav-tabs-border-width)*-1)}.tab-content>.tab-pane{display:none}.tab-content>.active{display:block}.navbar{--bs-navbar-padding-x:0;--bs-navbar-padding-y:0.5rem;--bs-navbar-color:rgba(var(--bs-emphasis-color-rgb),0.65);--bs-navbar-hover-color:rgba(var(--bs-emphasis-color-rgb),0.8);--bs-navbar-disabled-color:rgba(var(--bs-emphasis-color-rgb),0.3);--bs-navbar-active-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-brand-padding-y:0.3125rem;--bs-navbar-brand-margin-end:1rem;--bs-navbar-brand-font-size:1.25rem;--bs-navbar-brand-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-brand-hover-color:rgba(var(--bs-emphasis-color-rgb),1);--bs-navbar-nav-link-padding-x:0.5rem;--bs-navbar-toggler-padding-y:0.25rem;--bs-navbar-toggler-padding-x:0.75rem;--bs-navbar-toggler-font-size:1.25rem;--bs-navbar-toggler-icon-bg:url(/opensees-gallery/icons/navbar-light-toggler-icon-bg.svg);--bs-navbar-toggler-border-color:rgba(var(--bs-emphasis-color-rgb),0.15);--bs-navbar-toggler-border-radius:var(--bs-border-radius);--bs-navbar-toggler-focus-width:0;--bs-navbar-toggler-transition:box-shadow 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;--bs-nav-link-color:var(--bs-navbar-color);--bs-nav-link-hover-color:var(--bs-navbar-hover-color);--bs-nav-link-disabled-color:var(--bs-navbar-disabled-color);display:flex;flex-direction:column;list-style:none;margin-bottom:0;padding-left:0}.navbar-nav .nav-link.active,.navbar-nav .nav-link.show{color:var(--bs-navbar-active-color)}.navbar-nav .dropdown-menu{position:static}.navbar-collapse{align-items:center;flex-basis:100%;flex-grow:1}.navbar-toggler{background-color:transparent;border:var(--bs-border-width)solid var(--bs-navbar-toggler-border-color);border-radius:var(--bs-navbar-toggler-border-radius);color:var(--bs-navbar-color);font-size:var(--bs-navbar-toggler-font-size);line-height:1;padding:var(--bs-navbar-toggler-padding-y)var(--bs-navbar-toggler-padding-x);transition:var(--bs-navbar-toggler-transition)}@media(prefers-reduced-motion:reduce){.navbar-toggler{transition:none}}.navbar-toggler:hover{text-decoration:none}.navbar-toggler:focus{box-shadow:0 0 0 var(--bs-navbar-toggler-focus-width);outline:0;text-decoration:none}.navbar-toggler-icon{background-image:var(--bs-navbar-toggler-icon-bg);background-position:50%;background-repeat:no-repeat;background-size:100%;display:inline-block;height:1.5em;vertical-align:middle;width:1.5em}.navbar-nav-scroll{max-height:var(--bs-scroll-height,75vh);overflow-y:auto}@media(min-width:992px){.navbar-expand-lg{flex-wrap:nowrap;justify-content:flex-start}.navbar-expand-lg .navbar-nav{flex-direction:row}.navbar-expand-lg .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-lg .navbar-nav .nav-link{padding-left:var(--bs-navbar-nav-link-padding-x);padding-right:var(--bs-navbar-nav-link-padding-x)}.navbar-expand-lg .navbar-nav-scroll{overflow:visible}.navbar-expand-lg .navbar-collapse{display:flex!important;flex-basis:auto}.navbar-expand-lg .navbar-toggler{display:none}.navbar-expand-lg .offcanvas{background-color:transparent!important;border:0!important;flex-grow:1;height:auto!important;position:static;transform:none!important;transition:none;visibility:visible!important;width:auto!important;z-index:auto}.navbar-expand-lg .offcanvas .offcanvas-header{display:none}.navbar-expand-lg .offcanvas .offcanvas-body{display:flex;flex-grow:0;overflow-y:visible;padding:0}}.navbar[data-bs-theme=dark]{--bs-navbar-color:hsla(0,0%,100%,.55);--bs-navbar-hover-color:hsla(0,0%,100%,.75);--bs-navbar-disabled-color:hsla(0,0%,100%,.25);--bs-navbar-active-color:#fff;--bs-navbar-brand-color:#fff;--bs-navbar-brand-hover-color:#fff;--bs-navbar-toggler-border-color:hsla(0,0%,100%,.1)}.navbar[data-bs-theme=dark],[data-bs-theme=dark] .navbar-toggler-icon{--bs-navbar-toggler-icon-bg:url(/opensees-gallery/icons/navbar-dark-toggler-icon-bg.svg)}.card{--bs-card-spacer-y:1rem;--bs-card-spacer-x:1rem;--bs-card-title-spacer-y:0.5rem;--bs-card-title-color: ;--bs-card-subtitle-color: ;--bs-card-border-width:var(--bs-border-width);--bs-card-border-color:var(--bs-border-color-translucent);--bs-card-border-radius:var(--bs-border-radius);--bs-card-box-shadow: ;--bs-card-inner-border-radius:calc(var(--bs-border-radius) - var(--bs-border-width));--bs-card-cap-padding-y:0.5rem;--bs-card-cap-padding-x:1rem;--bs-card-cap-bg:rgba(var(--bs-body-color-rgb),0.03);--bs-card-cap-color: ;--bs-card-height: ;--bs-card-color: ;--bs-card-bg:var(--bs-body-bg);--bs-card-img-overlay-padding:1rem;--bs-card-group-margin:0.75rem;color:var(--bs-body-color);display:flex;flex-direction:column;height:var(--bs-card-height);min-width:0;position:relative;word-wrap:break-word;background-clip:border-box;background-color:var(--bs-card-bg);border:var(--bs-card-border-width)solid 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var(--bs-accordion-border-color);color:var(--bs-accordion-active-color)}.accordion-button:not(.collapsed):after{background-image:var(--bs-accordion-btn-active-icon);transform:var(--bs-accordion-btn-icon-transform)}.accordion-button:after{background-image:var(--bs-accordion-btn-icon);background-repeat:no-repeat;background-size:var(--bs-accordion-btn-icon-width);content:"";flex-shrink:0;height:var(--bs-accordion-btn-icon-width);margin-left:auto;transition:var(--bs-accordion-btn-icon-transition);width:var(--bs-accordion-btn-icon-width)}@media(prefers-reduced-motion:reduce){.accordion-button:after{transition:none}}.accordion-button:hover{z-index:2}.accordion-button:focus{box-shadow:var(--bs-accordion-btn-focus-box-shadow);outline:0;z-index:3}.accordion-header{margin-bottom:0}.accordion-item{background-color:var(--bs-accordion-bg);border:var(--bs-accordion-border-width)solid 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rgba(0,50,98,.25);--bs-pagination-active-color:#fff;--bs-pagination-active-bg:#003262;--bs-pagination-active-border-color:#003262;--bs-pagination-disabled-color:var(--bs-secondary-color);--bs-pagination-disabled-bg:var(--bs-secondary-bg);--bs-pagination-disabled-border-color:var(--bs-border-color);display:flex;list-style:none;padding-left:0}.page-link{background-color:var(--bs-pagination-bg);border:var(--bs-pagination-border-width)solid var(--bs-pagination-border-color);color:var(--bs-pagination-color);display:block;font-size:var(--bs-pagination-font-size);padding:var(--bs-pagination-padding-y)var(--bs-pagination-padding-x);position:relative;text-decoration:none;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media(prefers-reduced-motion:reduce){.page-link{transition:none}}.page-link:hover{background-color:var(--bs-pagination-hover-bg);border-color:var(--bs-pagination-hover-border-color);color:var(--bs-pagination-hover-color);z-index:2}.page-link:focus{background-color:var(--bs-pagination-focus-bg);box-shadow:var(--bs-pagination-focus-box-shadow);color:var(--bs-pagination-focus-color);outline:0;z-index:3}.active>.page-link,.page-link.active{background-color:var(--bs-pagination-active-bg);border-color:var(--bs-pagination-active-border-color);color:var(--bs-pagination-active-color);z-index:3}.disabled>.page-link,.page-link.disabled{background-color:var(--bs-pagination-disabled-bg);border-color:var(--bs-pagination-disabled-border-color);color:var(--bs-pagination-disabled-color);pointer-events:none}.page-item:not(:first-child) .page-link{margin-left:calc(var(--bs-border-width)*-1)}.page-item:first-child .page-link{border-bottom-left-radius:var(--bs-pagination-border-radius);border-top-left-radius:var(--bs-pagination-border-radius)}.page-item:last-child .page-link{border-bottom-right-radius:var(--bs-pagination-border-radius);border-top-right-radius:var(--bs-pagination-border-radius)}.badge{--bs-badge-padding-x:0.65em;--bs-badge-padding-y:0.35em;--bs-badge-font-size:0.75em;--bs-badge-font-weight:600;--bs-badge-color:#fff;--bs-badge-border-radius:var(--bs-border-radius);border-radius:var(--bs-badge-border-radius);color:var(--bs-badge-color);display:inline-block;font-size:var(--bs-badge-font-size);font-weight:var(--bs-badge-font-weight);line-height:1;padding:var(--bs-badge-padding-y)var(--bs-badge-padding-x);text-align:center;vertical-align:baseline;white-space:nowrap}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}@keyframes a{0%{background-position-x:1rem}}.progress{--bs-progress-height:1rem;--bs-progress-font-size:0.75rem;--bs-progress-bg:var(--bs-secondary-bg);--bs-progress-border-radius:var(--bs-border-radius);--bs-progress-box-shadow:var(--bs-box-shadow-inset);--bs-progress-bar-color:#fff;--bs-progress-bar-bg:#003262;--bs-progress-bar-transition:width 0.6s ease;background-color:var(--bs-progress-bg);border-radius:var(--bs-progress-border-radius);display:flex;font-size:var(--bs-progress-font-size);height:var(--bs-progress-height);overflow:hidden}.btn-close{--bs-btn-close-color:#000;--bs-btn-close-bg:url(/opensees-gallery/icons/btn-close-bg.svg);--bs-btn-close-opacity:0.5;--bs-btn-close-hover-opacity:0.75;--bs-btn-close-focus-shadow:0 0 0 0.25rem rgba(0,50,98,.25);--bs-btn-close-focus-opacity:1;--bs-btn-close-disabled-opacity:0.25;--bs-btn-close-white-filter:invert(1) grayscale(100%) brightness(200%);background:var(--bs-btn-close-bg)50%/1em 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;--bs-toast-bg:rgba(var(--bs-body-bg-rgb),0.85);--bs-toast-border-width:var(--bs-border-width);--bs-toast-border-color:var(--bs-border-color-translucent);--bs-toast-border-radius:var(--bs-border-radius);--bs-toast-box-shadow:var(--bs-box-shadow);--bs-toast-header-color:var(--bs-secondary-color);--bs-toast-header-bg:rgba(var(--bs-body-bg-rgb),0.85);--bs-toast-header-border-color:var(--bs-border-color-translucent);background-clip:padding-box;background-color:var(--bs-toast-bg);border:var(--bs-toast-border-width)solid 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.accordion-button{background-color:var(--bs-nav-callout-bg)!important;border:solid;border-color:var(--bs-border-color);border-radius:var(--bs-accordion-inner-border-radius)!important;margin-bottom:0}.nav-callout .accordion-button:focus{border-bottom:none!important;box-shadow:none}.nav-callout .accordion-button:not(.collapsed){box-shadow:none}.nav-callout>.accordion-item{border:none;margin-bottom:2rem;margin-top:2rem}.nav-callout .accordion-button[aria-expanded=false]{border-bottom:solid!important;border-color:var(--bs-border-color)!important;border-radius:var(--bs-accordion-inner-border-radius)}.nav-callout .accordion-button[aria-expanded=true]{background-image:linear-gradient(to top right,var(--bs-nav-callout-active-bg) 50%,transparent 0);background-position:10% 100%;background-repeat:no-repeat;background-size:10% 2.5rem;border-color:var(--bs-border-color)!important;border-bottom:none!important;border-radius:var(--bs-accordion-inner-border-radius)var(--bs-accordion-inner-border-radius)0 0!important;padding-bottom:3rem}.nav-callout .accordion-collapse{background-color:var(--bs-nav-callout-active-bg)!important;border-bottom:solid;border-left:solid;border-radius:0 0 var(--bs-accordion-inner-border-radius)var(--bs-accordion-inner-border-radius);border-right:solid;border-top:none!important;border-color:var(--bs-border-color)}[data-bs-theme=dark] .nav-callout{--bs-nav-callout-bg:var(--bs-tertiary-bg)}[data-bs-theme=dark] .nav-callout .accordion-button[aria-expanded=true]{background-image:linear-gradient(to top right,#000f1d 50%,transparent 0)}[data-bs-theme=dark] .nav-callout .accordion-collapse{background-color:#000f1d!important}.checkbox{opacity:0;position:absolute}.mode-switch{--bs-mode-switch-width:50px}.mode-switch 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Docs
- + diff --git a/docs/about/license/index.html b/docs/about/license/index.html index cf580e5a..6edc1886 100644 --- a/docs/about/license/index.html +++ b/docs/about/license/index.html @@ -25,7 +25,7 @@ - + @@ -1356,7 +1356,7 @@

Documentation + diff --git a/docs/advanced-settings/icons/index.html b/docs/advanced-settings/icons/index.html index 2c495ee7..c6c69f9f 100644 --- a/docs/advanced-settings/icons/index.html +++ b/docs/advanced-settings/icons/index.html @@ -25,7 +25,7 @@ - + @@ -1244,7 +1244,7 @@
Docs
- + diff --git a/docs/advanced-settings/module-development/index.html b/docs/advanced-settings/module-development/index.html index dcb48130..0f1cab17 100644 --- a/docs/advanced-settings/module-development/index.html +++ b/docs/advanced-settings/module-development/index.html @@ -25,7 +25,7 @@ - + @@ -1244,7 +1244,7 @@
Docs
- + diff --git a/docs/advanced-settings/overview/index.html b/docs/advanced-settings/overview/index.html index 1da793f1..76e904e4 100644 --- a/docs/advanced-settings/overview/index.html +++ b/docs/advanced-settings/overview/index.html @@ -25,7 +25,7 @@ - + @@ -1244,7 +1244,7 @@
Docs
- + diff --git a/docs/advanced-settings/partial-development/index.html b/docs/advanced-settings/partial-development/index.html index e4b6e665..a2f5e436 100644 --- a/docs/advanced-settings/partial-development/index.html +++ b/docs/advanced-settings/partial-development/index.html @@ -25,7 +25,7 @@ - + @@ -1244,7 +1244,7 @@
Docs
- + diff --git a/docs/advanced-settings/scripts/index.html b/docs/advanced-settings/scripts/index.html index 2df99995..539336c1 100644 --- a/docs/advanced-settings/scripts/index.html +++ b/docs/advanced-settings/scripts/index.html @@ -25,7 +25,7 @@ - + @@ -1255,7 +1255,7 @@
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- + diff --git a/docs/advanced-settings/styles/index.html b/docs/advanced-settings/styles/index.html index 8cbb33d3..b1a763e5 100644 --- a/docs/advanced-settings/styles/index.html +++ b/docs/advanced-settings/styles/index.html @@ -25,7 +25,7 @@ - + @@ -1244,7 +1244,7 @@
Docs
- + diff --git a/docs/configuration/colors/index.html b/docs/configuration/colors/index.html index 3a144619..2f772a71 100644 --- a/docs/configuration/colors/index.html +++ b/docs/configuration/colors/index.html @@ -25,7 +25,7 @@ - + @@ -1244,7 +1244,7 @@
Docs
- + diff --git a/docs/configuration/layout/index.html b/docs/configuration/layout/index.html index 4b42d8b4..130f518d 100644 --- a/docs/configuration/layout/index.html +++ b/docs/configuration/layout/index.html @@ -25,7 +25,7 @@ - + @@ -1244,7 +1244,7 @@
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- + diff --git a/docs/developing/index.html b/docs/developing/index.html index bfd91499..33f4bc63 100644 --- a/docs/developing/index.html +++ b/docs/developing/index.html @@ -25,7 +25,7 @@ - + @@ -1408,7 +1408,7 @@

Class Interface Specifica - + diff --git a/docs/getting-started/command-line/index.html b/docs/getting-started/command-line/index.html index c75901dd..fa323b67 100644 --- a/docs/getting-started/command-line/index.html +++ b/docs/getting-started/command-line/index.html @@ -25,7 +25,7 @@ - + @@ -1243,7 +1243,7 @@

Docs
- + diff --git a/docs/getting-started/compiling/index.html b/docs/getting-started/compiling/index.html index 53df7956..67eedb0c 100644 --- a/docs/getting-started/compiling/index.html +++ b/docs/getting-started/compiling/index.html @@ -25,7 +25,7 @@ - + @@ -1851,7 +1851,7 @@

Compiling + diff --git a/docs/getting-started/contribute/index.html b/docs/getting-started/contribute/index.html index 30d71d5f..8e6f188f 100644 --- a/docs/getting-started/contribute/index.html +++ b/docs/getting-started/contribute/index.html @@ -25,7 +25,7 @@ - + @@ -1906,7 +1906,7 @@

License + diff --git a/docs/getting-started/introduction/index.html b/docs/getting-started/introduction/index.html index 4381428f..a55cc3e0 100644 --- a/docs/getting-started/introduction/index.html +++ b/docs/getting-started/introduction/index.html @@ -25,7 +25,7 @@ - + @@ -1391,7 +1391,7 @@

Running OpenSees + diff --git a/docs/getting-started/modeling/index.html b/docs/getting-started/modeling/index.html index 708dfb34..64f263f5 100644 --- a/docs/getting-started/modeling/index.html +++ b/docs/getting-started/modeling/index.html @@ -25,7 +25,7 @@ - + @@ -913,10 +913,44 @@
Docs
+
+ + -

Modeling in Python +

Modeling in Python -  

+  

The best practice for modeling in Python is to create a model class by calling the opensees.openseespy.Model(...) constructor (note the capital “M”). All standard OpenSees functions, as documented @@ -934,9 +968,9 @@

Modeling in Python
import opensees.openseespy as ops
 model = ops.Model(ndm=2, ndf=3)
 model.node(1, 2.0, 3.0)
-

Evaluate Tcl models from Python +

Evaluate Tcl models from Python -  

+  

The first scripting interface to OpenSees used a programming language called Tcl, which continues to be supported. To execute Tcl commands from a Python script, just create an instance @@ -978,6 +1012,13 @@

Evaluate Tcl models fro +On this page: + @@ -1267,6 +1308,7 @@

Evaluate Tcl models fro + @@ -1282,7 +1324,7 @@

Evaluate Tcl models fro - + diff --git a/docs/getting-started/python/index.html b/docs/getting-started/python/index.html index 1eb0812e..373408f9 100644 --- a/docs/getting-started/python/index.html +++ b/docs/getting-started/python/index.html @@ -25,7 +25,7 @@ - + @@ -1243,7 +1243,7 @@

Docs
- + diff --git a/docs/library/frame/index.html b/docs/library/frame/index.html index 7f72fe7c..daf49d69 100644 --- a/docs/library/frame/index.html +++ b/docs/library/frame/index.html @@ -25,7 +25,7 @@ - + @@ -1243,7 +1243,7 @@

Docs
- + diff --git a/docs/library/index.html b/docs/library/index.html index b031e19b..1266f15e 100644 --- a/docs/library/index.html +++ b/docs/library/index.html @@ -25,7 +25,7 @@ - + @@ -749,7 +749,7 @@ - + diff --git a/examples/archstaticsnap/IncrementalAnalysis.ipynb b/examples/archstaticsnap/IncrementalAnalysis.ipynb index 3f55332c..3f23dc69 100644 --- a/examples/archstaticsnap/IncrementalAnalysis.ipynb +++ b/examples/archstaticsnap/IncrementalAnalysis.ipynb @@ -1,26 +1,31 @@ { "cells": [ - { - "cell_type": "markdown", - "id": "44f24cf9-aad0-4929-b3b7-b4103654238a", - "metadata": {}, - "source": [ - "# Incremental Analysis of a Shallow Arch" - ] - }, { "cell_type": "markdown", "id": "b6909664-24e3-401c-b176-49ee45890e58", "metadata": {}, "source": [ - "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/claudioperez/opensees/HEAD?labpath=notebooks%2FIncrementalAnalysis%2FIncrementalAnalysis.ipynb)\n", + "\n", + "\n", + "In this problem, we investigate how this programmatic interface can be used to solve a highly nonlinear problem.\n", + "Consider the shallow arch shown below (Clarke and Hancock, 1990):\n", "\n", "![Shallow arch](./img/ClarkeHancock.png)\n", "\n", - "> Clarke, M.J. and Hancock, G.J. (1990) ‘A study of incremental‐iterative strategies for non‐linear analyses’, International Journal for Numerical Methods in Engineering, 29(7), pp. 1365–1391. Available at: https://doi.org/10.1002/nme.1620290702.\n", + "This problem exhibits several critical points along the solution path,\n", + "and requires the use of a sophisticated algorithm to properly traverse these.\n", + "In this study, we will investigate how the OpenSees framework can be used to compose these algorithms.\n", "\n", + "We will perform the analysis by creating an OpenSees `Model` data structure, and using\n", + "its *methods* to perform various tasks. A method is simply a function that\n", + "is linked to a particular instance of a data structure. In this case, the `Model`\n", + "data structure holds the geometry and state (i.e., the current values of solution variables) of our structural model. Some methods that you might see being used in this notebook include (you wont need to make any changes to the use of any of these):\n", "\n", - "Begin by importing the `arch_model` helper function from the file [`arch.py`](./arch.py):" + "- `Model.integrator(...)` This method configures the iteration strategy to be performed\n", + " in the next increment\n", + "- `Model.analyze(n)` This method applies `n` increments, and between each increment, performs Newton-Raphson iterations.\n", + "\n", + "In this notebook, the `Model` data structure is created by the `arch_model` helper function, which we load from the file [`arch.py`](./arch.py):" ] }, { @@ -38,7 +43,7 @@ "id": "1f478018-476b-44b4-aa2f-5deb49037670", "metadata": {}, "source": [ - "Import some helpful third-party libraries" + "We'll also find the following imports convenient:" ] }, { @@ -53,7 +58,7 @@ "\n", "try:\n", " import scienceplots\n", - " plt.style.use(\"steel\") #([\"ieee\", \"science\", \"notebook\"])\n", + " plt.style.use([\"steel\"]) #([\"ieee\", \"science\", \"notebook\"])\n", "except:\n", " pass" ] @@ -63,7 +68,18 @@ "id": "adfeaf3b-6027-42ea-96e2-eac362168c2a", "metadata": {}, "source": [ - "## The Framework" + "## Solution Strategy\n", + "\n", + "Our general strategy is implemented in the following function `solve()`.\n", + "This function adopts an incremental approach\n", + "where the load is applied in small steps of varying size. \n", + "The arguments to the function are:\n", + "\n", + "- `model`: an OpenSees `Model` object\n", + "- `node` : an integer indicating which node to collect results from.\n", + "\n", + "Both of these arguments will be supplied by the `arch_model` helper function mentioned\n", + "above.\n" ] }, { @@ -74,25 +90,29 @@ "outputs": [], "source": [ "def analyze(model, mid, increment, steps, dx, *args):\n", - " dof = 2\n", + " # Initialize some variables\n", + " xy = [] # Container to hold solution history (i.e., load factor and displacement at `node`)\n", + " status = 0 # Convergence flag; Model.analyze() will return 0 if successful.\n", "\n", - " xy = []\n", - "\n", - " status = 0\n", - "\n", - " increment(model, mid, dof, dx, *args)\n", + " # Configure the first load increment strategy; explained below\n", + " increment(model, dx, *args)\n", "\n", " for step in range(steps):\n", - " if status != 0:\n", - " dx /= 2\n", - " increment(model, mid, dof, dx, *args)\n", "\n", + " # 1. Perform Newton-Raphson iterations until convergence for 1 load\n", + " # increment\n", " status = model.analyze(1)\n", "\n", - " xy.append([model.nodeDisp(mid, dof), model.getTime()])\n", + " # 2. Store the displacement and load factor\n", + " xy.append([model.nodeDisp(mid, 2), model.getTime()])\n", "\n", + " # 3. If the iterations failed, try cutting\n", + " # the increment arc-length in half\n", + " if status != 0:\n", + " dx /= 2\n", + " increment(model, dx, *args)\n", "\n", - " return np.array(xy).T\n" + " return np.array(xy).T" ] }, { @@ -109,9 +129,9 @@ "Load incrementation strategy: Direct incrementation of the load parameter (Section 4.1.1)\n", "\n", "
Solution 2
\n", - "Iterative strategy: Constant vertical displacement under the load, $v_6$ (Section 3.2)\n", + "Iterative strategy: Constant vertical displacement under the load, $u_{\\mathrm{mid}}$ (Section 3.2)\n", "
\n", - "Load incrementation strategy: Incrementation of the displacement component $v_6$ (Section 4.1.2)\n", + "Load incrementation strategy: Incrementation of the displacement component $u_{\\mathrm{mid}}$ (Section 4.1.2)\n", "
\n", "
Solution 3
\n", "Iterative strategy: Constant arc-length (Section 3.3)\n", @@ -153,27 +173,28 @@ "metadata": {}, "outputs": [], "source": [ - "def solution0(model, mid, dof, dx):\n", + "def solution0(model, dx):\n", " model.integrator(\"LoadControl\", 400.0)\n", "\n", "\n", - "def solution1(model, mid, dof, dx):\n", + "def solution1(model, dx):\n", " Jd = 5\n", " model.integrator(\"LoadControl\", dx, Jd, -800., 800.)\n", "\n", "\n", - "def solution2(model, mid, dof, dx):\n", + "def solution2(model, dx, *args):\n", " Jd = 5\n", + " mid, dof = args\n", " model.integrator(\"DisplacementControl\", mid, dof, dx, Jd)\n", "\n", "\n", - "def norm_control(model, mid, dof, dx):\n", + "def norm_control(model, dx, *args):\n", " Jd = 15\n", - " model.integrator(\"MinUnbalDispNorm\", dx, Jd, -10, 10, \"-det\")\n", + " model.integrator(\"MinUnbalDispNorm\", dx, Jd, -10, 10, det=True)\n", "\n", "\n", - "def arc_control(model, mid, dof, dx, a):\n", - " model.integrator(\"ArcLength\", dx, a, det=True, exp=0.5, reference=\"point\")\n" + "def arc_control(model, dx, *args, a=0):\n", + " model.integrator(\"ArcLength\", dx, a, det=True, exp=0.0, reference=\"point\")\n" ] }, { @@ -182,30 +203,9 @@ "id": "7024dd88-cf13-4c48-a73e-9cdba805dd28", "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\u001b[0;31m FAILURE\u001b[0m :: Iter: 25, Norm: 49845.5, Norm deltaX: 152.498\n", - "\u001b[0;31m FAILURE\u001b[0m :: Iter: 25, Norm: 11340.8, Norm deltaX: 123.419\n", - "ArcLength::update() - imaginary roots due to multiple instability directions - initial load increment was too large\n", - "a: 6.20586 b: -2674.5 c: 319258 b24ac: -772128\n", - "\u001b[0;31m FAILURE\u001b[0m :: Iter: 25, Norm: 3293.9, Norm deltaX: 54.5382\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { - "image/png": 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" ] @@ -224,24 +224,25 @@ "# ax.plot(-x, y, 'x', label=\"S1\")\n", "# print(y)\n", "\n", - "x, y = analyze(*arch_model(), solution2, 7, -150)\n", + "model, mid = arch_model()\n", + "x, y = analyze(model, mid, solution2, 7, -150, *(mid, 2))\n", "ax.plot(-x, y, 'o', label=\"S2\")\n", "\n", - "x, y = analyze(*arch_model(), solution2, 536, -1.5)\n", + "x, y = analyze(*arch_model(), solution2, 536, -1.5, *(mid, 2))\n", "ax.plot(-x, y, '-', label=\"S2\")\n", "\n", "# x, y = analyze(*arch_model(), arc_control, 9500, 0.5, 0)\n", "# ax.plot(-x, y, \"-\", label=\"arc\")\n", "\n", - "# Requires -det\n", - "x, y = analyze(*arch_model(), arc_control, 110, 45, 0)\n", + "\n", + "x, y = analyze(*arch_model(), arc_control, 110, 45)\n", "ax.plot(-x, y, \"x\", label=\"arc\")\n", "\n", - "x, y = analyze(*arch_model(), arc_control, 80, 88, 0)\n", - "ax.plot(-x, y, \"+\", label=\"arc\")\n", + "# x, y = analyze(*arch_model(), arc_control, 80, 88, 0)\n", + "# ax.plot(-x, y, \"+\", label=\"arc\")\n", "\n", - "x, y = analyze(*arch_model(), arc_control, 80, 188, 0)\n", - "ax.plot(-x, y, \"*\", label=\"arc\")\n", + "# x, y = analyze(*arch_model(), arc_control, 80, 188, 0)\n", + "# ax.plot(-x, y, \"*\", label=\"arc\")\n", "\n", "# x, y = analyze(*arch_model(), arc_control, 8000, 0.8, 0)\n", "# ax.plot(-x, y, \"x\", label=\"arc\")\n", @@ -250,30 +251,24 @@ "# ax.plot(-x, y, \"-\", label=\"norm\")\n", "\n", "\n", + "ax.set_title(\"Displacement vs Load Factor\")\n", + "ax.set_ylabel(r\"Load factor $\\lambda$\")\n", + "ax.set_xlabel(\"Displacement $u$\")\n", + "\n", "ax.set_xlim([0, 1200])\n", "ax.set_ylim([-800, 3000])\n", - "fig.legend()" + "fig.legend();" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "id": "f0b43af2-dc3c-4a40-a1fd-e11e46f23206", "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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"text/plain": [ "
" ] @@ -283,28 +278,11 @@ } ], "source": [ - "plt.plot(-x, '.')" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "5fa5cc7e-f3ae-4d36-95dc-b2a45074d3ec", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "ax.plot(-x, \".\")" + "fix, ax = plt.subplots()\n", + "ax.plot(-x, '.');\n", + "ax.set_title(\"Displacement vs Step Number\")\n", + "ax.set_ylabel(\"Displacement $u$\")\n", + "ax.set_xlabel(\"Analysis step $n$\");" ] }, { @@ -320,16 +298,19 @@ "id": "21bf025c-2023-4ea6-adf2-56f452f304b5", "metadata": {}, "source": [ - "![](./arch.gif)" + "" ] }, { - "cell_type": "code", - "execution_count": null, - "id": "1f5c771b-31ef-4f62-9f8b-7cc7bb392184", + "cell_type": "markdown", + "id": "732dc061-374d-41e6-935a-f82c88f758fe", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "## References\n", + "\n", + "\n", + "> Clarke, M.J. and Hancock, G.J. (1990) ‘A study of incremental‐iterative strategies for non‐linear analyses’, International Journal for Numerical Methods in Engineering, 29(7), pp. 1365–1391. Available at: https://doi.org/10.1002/nme.1620290702.\n" + ] } ], "metadata": { diff --git a/examples/archstaticsnap/arch.py b/examples/archstaticsnap/arch.py index 61c7635e..176d57a4 100644 --- a/examples/archstaticsnap/arch.py +++ b/examples/archstaticsnap/arch.py @@ -9,11 +9,6 @@ def arch_model(): Rise = 500 Offset = 200 - # Define material parameters - E = 200 - A = 1e4 - I = 1e8 - # Compute radius R = Rise/2 + (2*L)**2/(8*Rise) th = 2*np.arcsin(L/R) @@ -43,14 +38,19 @@ def arch_model(): # create the node model.node(tag, x, y) + # Define elastic section properties + E = 200 + A = 1e4 + I = 1e8 + model.section("ElasticFrame", 1, A=A, E=E, I=I) # Create elements - transfTag = 1 - model.geomTransf("Corotational", transfTag) + transf = 1 + model.geomTransf("Corotational", transf) for i in range(ne): tag = i+1 nodes = (i+1, i+2) - model.element("ElasticBeamColumn", tag, *nodes, A, E, I, transfTag) + model.element("PrismFrame", tag, nodes, section=1, transform=transf) model.fix( 1, 1, 1, 0) @@ -63,12 +63,14 @@ def arch_model(): model.load(mid, 0.0, -1.0, 0.0, pattern=1) - model.system("ProfileSPD") + # Select linear solver, and ensure determinants are + # computed and stored. + # model.system("ProfileSPD") # model.system("FullGeneral") # model.system("BandGeneral") - # model.system("Umfpack", det=True) + model.system("Umfpack", det=True) - model.test("NormUnbalance", 1e-6, 25, 0) + model.test("NormUnbalance", 1e-6, 25, 9) model.algorithm("Newton") model.analysis("Static") diff --git a/examples/archstaticsnap/index.html b/examples/archstaticsnap/index.html index caeb7e41..cf61524b 100644 --- a/examples/archstaticsnap/index.html +++ b/examples/archstaticsnap/index.html @@ -25,7 +25,7 @@ - + @@ -52,7 +52,7 @@ - + @@ -110,7 +110,7 @@ "about": { "@id": "https://stairlab.github.io/#/schema/organization/1" }, - "dateModified": "2024-09-19T09:17:28CET","breadcrumb": { + "dateModified": "2024-10-11T00:55:08CET","breadcrumb": { "@id": "https://stairlab.github.io/opensees-gallery/examples/archstaticsnap/#/schema/breadcrumb/1" }, "primaryImageOfPage": { @@ -354,8 +354,8 @@ - 3 min read • - 569 words + 6 min read • + 1,092 words
@@ -506,25 +506,46 @@ -
+
+ -

Incremental Analysis of a Shallow Arch - -  

-

- - + + +

+ +
+

The files for this example are:

+
    +
  • + @@ -533,21 +554,135 @@

    Incremental Anal + + + + + + arch.py - This file contains the function arch_model which is used construct the model

  • +
  • + + - + + + + + + IncrementalAnalysis.ipynb - This is the current Jupyter notebook file
  • +
+ + + + +
+
+
import numpy as np
+import opensees.openseespy
+
+# Create the model
+def arch_model():
+
+    # Define model parameters
+    L      = 5000
+    Rise   = 500
+    Offset = 200
+
+    # Compute radius
+    R  = Rise/2 + (2*L)**2/(8*Rise)
+    th = 2*np.arcsin(L/R)
+
+    #
+    # Build the model
+    #
+    model = opensees.openseespy.Model(ndm=2, ndf=3)
+
+    # Create nodes
+    ne  = 10
+    nen =  2             # nodes per element
+    nn  = ne*(nen-1)+1
+    mid = (nn+1)//2      # midpoint node
+
+    for i, angle in enumerate(np.linspace(-th/2, th/2, nn)):
+        tag = i + 1
+
+        # Compute x and add offset if midpoint
+        x = R*np.sin(angle)
+        if tag == mid:
+            x -= Offset
+
+        # Compute y
+        y = R*np.cos(angle)
+
+        # create the node
+        model.node(tag, x, y)
+
+    # Define elastic section properties
+    E = 200
+    A = 1e4
+    I = 1e8
+    model.section("ElasticFrame", 1, A=A, E=E, I=I)
+
+    # Create elements
+    transf = 1
+    model.geomTransf("Corotational", transf)
+    for i in range(ne):
+        tag   = i+1
+        nodes = (i+1, i+2)
+        model.element("PrismFrame", tag, nodes, section=1, transform=transf)
+
+
+    model.fix( 1, 1, 1, 0)
+    model.fix(nn, 1, 1, 0)
+
+    # Create a load pattern that scales linearly
+    model.pattern("Plain", 1, "Linear")
+
+    # Add a nodal load to the pattern
+    model.load(mid, 0.0, -1.0, 0.0, pattern=1)
+
+
+    # Select linear solver, and ensure determinants are
+    # computed and stored.
+    # model.system("ProfileSPD")
+    # model.system("FullGeneral")
+    # model.system("BandGeneral")
+    model.system("Umfpack", det=True)
+
+    model.test("NormUnbalance", 1e-6, 25, 9)
+    model.algorithm("Newton")
+    model.analysis("Static")
+
+
+    return model, mid
+
+
+
+
+ +
- - launchlaunchbinderbinder -  - -

+

In this problem, we investigate how this programmatic interface can be used to solve a highly nonlinear problem. +Consider the shallow arch shown below (Clarke and Hancock, 1990):

@@ -578,25 +713,19 @@

Incremental Anal height="1918" width="2800" alt="Shallow arch"> - - - - - -
-

Clarke, M.J. and Hancock, G.J. (1990) ‘A study of incremental‐iterative strategies for non‐linear analyses’, International Journal for Numerical Methods in Engineering, 29(7), pp. 1365–1391. Available at: - - - - - - - -https://doi.org/10.1002/nme.1620290702  - - .

-
-

Begin by importing the arch_model helper function from the file +

This problem exhibits several critical points along the solution path, +and requires the use of a sophisticated algorithm to properly traverse these. +In this study, we will investigate how the OpenSees framework can be used to compose these algorithms.

+

We will perform the analysis by creating an OpenSees Model data structure, and using +its methods to perform various tasks. A method is simply a function that +is linked to a particular instance of a data structure. In this case, the Model +data structure holds the geometry and state (i.e., the current values of solution variables) of our structural model. Some methods that you might see being used in this notebook include (you wont need to make any changes to the use of any of these):

+
    +
  • Model.integrator(...) This method configures the iteration strategy to be performed +in the next increment
  • +
  • Model.analyze(n) This method applies n increments, and between each increment, performs Newton-Raphson iterations.
  • +
+

In this notebook, the Model data structure is created by the arch_model helper function, which we load from the file @@ -612,36 +741,50 @@

Incremental Anal arch.py:

-
from arch import arch_model

Import some helpful third-party libraries

+
from arch import arch_model

We’ll also find the following imports convenient:

import numpy as np
 import matplotlib.pyplot as plt
 
 try:
     import scienceplots
-    plt.style.use("steel") #(["ieee", "science", "notebook"])
+    plt.style.use(["steel"]) #(["ieee", "science", "notebook"])
 except:
     pass
-

The Framework +

Solution Strategy  

+

Our general strategy is implemented in the following function solve(). +This function adopts an incremental approach +where the load is applied in small steps of varying size. +The arguments to the function are:

+
    +
  • model: an OpenSees Model object
  • +
  • node : an integer indicating which node to collect results from.
  • +
+

Both of these arguments will be supplied by the arch_model helper function mentioned +above.

def analyze(model, mid, increment, steps, dx, *args):
-    dof = 2
+    # Initialize some variables
+    xy = []      # Container to hold solution history (i.e., load factor and displacement at `node`)
+    status = 0   # Convergence flag; Model.analyze() will return 0 if successful.
 
-    xy = []
-
-    status = 0
-
-    increment(model, mid, dof, dx, *args)
+    # Configure the first load increment strategy; explained below
+    increment(model, dx, *args)
 
     for step in range(steps):
-        if status != 0:
-            dx /= 2
-            increment(model, mid, dof, dx, *args)
 
+        # 1. Perform Newton-Raphson iterations until convergence for 1 load
+        #    increment
         status = model.analyze(1)
 
-        xy.append([model.nodeDisp(mid, dof), model.getTime()])
+        # 2. Store the displacement and load factor
+        xy.append([model.nodeDisp(mid, 2), model.getTime()])
 
+        # 3. If the iterations failed, try cutting
+        #    the increment arc-length in half
+        if status != 0:
+            dx /= 2
+            increment(model, dx, *args)
 
     return np.array(xy).T

The strategies used by Clarke and Hancock are:

@@ -651,9 +794,9 @@

The Framework
Solution 2
-Iterative strategy: Constant vertical displacement under the load, $v_6$ (Section 3.2) +Iterative strategy: Constant vertical displacement under the load, $u_{\mathrm{mid}}$ (Section 3.2)
-Load incrementation strategy: Incrementation of the displacement component $v_6$ (Section 4.1.2) +Load incrementation strategy: Incrementation of the displacement component $u_{\mathrm{mid}}$ (Section 4.1.2)
Solution 3
Iterative strategy: Constant arc-length (Section 3.3) @@ -686,27 +829,28 @@

The Framework

-
def solution0(model, mid, dof, dx):
+
def solution0(model, dx):
     model.integrator("LoadControl", 400.0)
 
 
-def solution1(model, mid, dof, dx):
+def solution1(model, dx):
     Jd = 5
     model.integrator("LoadControl", dx, Jd, -800., 800.)
 
 
-def solution2(model, mid, dof, dx):
+def solution2(model,  dx, *args):
     Jd  = 5
+    mid, dof = args
     model.integrator("DisplacementControl", mid, dof, dx, Jd)
 
 
-def norm_control(model, mid, dof, dx):
+def norm_control(model, dx, *args):
     Jd  = 15
-    model.integrator("MinUnbalDispNorm",  dx, Jd, -10, 10, "-det")
+    model.integrator("MinUnbalDispNorm",  dx, Jd, -10, 10, det=True)
 
 
-def arc_control(model, mid, dof, dx, a):
-    model.integrator("ArcLength", dx, a, det=True, exp=0.5, reference="point")
fig, ax = plt.subplots()
+def arc_control(model, dx, *args,  a=0):
+    model.integrator("ArcLength", dx, a, det=True, exp=0.0, reference="point")

Output:

-
   FAILURE :: Iter:    25, Norm:     49845.5, Norm deltaX:     152.498
-   FAILURE :: Iter:    25, Norm:     11340.8, Norm deltaX:     123.419
-ArcLength::update() - imaginary roots due to multiple instability directions - initial load increment was too large
-a: 6.20586 b: -2674.5 c: 319258 b24ac: -772128
-   FAILURE :: Iter:    25, Norm:      3293.9, Norm deltaX:     54.5382
<matplotlib.legend.Legend at 0x7f1ddb0b8d00>
-
<Figure size 2560x1920 with 1 Axes>
plt.plot(-x, '.')

Output:

-
[<matplotlib.lines.Line2D at 0x7f1dd8e8ec40>]
-
<Figure size 2560x1920 with 1 Axes>
ax.plot(-x, ".")

Output:

-
[<matplotlib.lines.Line2D at 0x7f1dd8cc8340>]

The following animation of the solution is created in +fig.legend();

Output:

+ +
<Figure size 2560x1920 with 1 Axes>
fix, ax = plt.subplots()
+ax.plot(-x, '.');
+ax.set_title("Displacement vs Step Number")
+ax.set_ylabel("Displacement $u$")
+ax.set_xlabel("Analysis step $n$");

Output:

+ +
<Figure size 2560x1920 with 1 Axes>

The following animation of the solution is created in @@ -768,39 +916,32 @@

The Framework Animating.ipynb

+ +

References + +  

+
+

Clarke, M.J. and Hancock, G.J. (1990) ‘A study of incremental‐iterative strategies for non‐linear analyses’, International Journal for Numerical Methods in Engineering, 29(7), pp. 1365–1391. Available at: + +https://doi.org/10.1002/nme.1620290702  + + .

+
- - - - - - - - -
- - @@ -1124,6 +1272,7 @@

The Framework + @@ -1141,7 +1290,7 @@

The Framework + diff --git a/examples/buildingmodes/index.html b/examples/buildingmodes/index.html index a720aab5..677a085f 100644 --- a/examples/buildingmodes/index.html +++ b/examples/buildingmodes/index.html @@ -3,7 +3,7 @@ - + @@ -12,10 +12,10 @@ - + - + @@ -25,7 +25,7 @@ - + @@ -44,16 +44,16 @@ OpenSees - Building Modes - + - + - + @@ -63,7 +63,7 @@ - + @@ -75,14 +75,14 @@ "@graph": [ { "@type": "Organization", - "@id": "https://stairlab.github.io/#/schema/organization/1", + "@id": "http://localhost:1313/#/schema/organization/1", "name": "STAIRlab", - "url": "https://stairlab.github.io/", + "url": "http://localhost:1313/", "sameAs": [null,"https://github.com/claudioperez/OpenSeesRT"], "image": { "@type": "ImageObject", - "@id": "https://stairlab.github.io/#/schema/image/1", - "url": "https://stairlab.github.io/img/logo1280x640.png", + "@id": "http://localhost:1313/#/schema/image/1", + "url": "http://localhost:1313/img/logo1280x640.png", "width": 1280 , "height": 640 , "caption": "STAIRlab" @@ -90,48 +90,48 @@ }, { "@type": "WebSite", - "@id": "https://stairlab.github.io/#/schema/website/1", - "url": "https://stairlab.github.io/", + "@id": "http://localhost:1313/#/schema/website/1", + "url": "http://localhost:1313/", "name": "OpenSees", "description": "OpenSees Examples.", "publisher": { - "@id": "https://stairlab.github.io/#/schema/organization/1" + "@id": "http://localhost:1313/#/schema/organization/1" } }, { "@type": "WebPage", - "@id": "https://stairlab.github.io/opensees-gallery/examples/buildingmodes/", - "url": "https://stairlab.github.io/opensees-gallery/examples/buildingmodes/", + "@id": "http://localhost:1313/opensees-gallery/examples/buildingmodes/", + "url": "http://localhost:1313/opensees-gallery/examples/buildingmodes/", "name": "Building Modes", "description": "A building is modeled as a cantilever, and the first three mode shapes are plotted.", "isPartOf": { - "@id": "https://stairlab.github.io/#/schema/website/1" + "@id": "http://localhost:1313/#/schema/website/1" }, "about": { - "@id": "https://stairlab.github.io/#/schema/organization/1" + "@id": "http://localhost:1313/#/schema/organization/1" }, "dateModified": "2024-09-19T09:17:28CET","breadcrumb": { - "@id": "https://stairlab.github.io/opensees-gallery/examples/buildingmodes/#/schema/breadcrumb/1" + "@id": "http://localhost:1313/opensees-gallery/examples/buildingmodes/#/schema/breadcrumb/1" }, "primaryImageOfPage": { - "@id": "https://stairlab.github.io/opensees-gallery/examples/buildingmodes/#/schema/image/2" + "@id": "http://localhost:1313/opensees-gallery/examples/buildingmodes/#/schema/image/2" }, "inLanguage": "en-US", "potentialAction": [{ - "@type": "ReadAction", "target": ["https://stairlab.github.io/opensees-gallery/examples/buildingmodes/"] + "@type": "ReadAction", "target": ["http://localhost:1313/opensees-gallery/examples/buildingmodes/"] }] }, { "@type": "BreadcrumbList", - "@id": "https://stairlab.github.io/opensees-gallery/examples/buildingmodes/#/schema/breadcrumb/1", + "@id": "http://localhost:1313/opensees-gallery/examples/buildingmodes/#/schema/breadcrumb/1", "name": "Breadcrumbs", "itemListElement": [{ "@type": "ListItem", "position": 1 , "item": { "@type": "WebPage", - "@id": "https://stairlab.github.io/opensees-gallery/", - "url": "https://stairlab.github.io/opensees-gallery/", + "@id": "http://localhost:1313/opensees-gallery/", + "url": "http://localhost:1313/opensees-gallery/", "name": "Home" } },{ @@ -139,15 +139,15 @@ "position": 2 , "item": { "@type": "WebPage", - "@id": "https://stairlab.github.io/opensees-gallery/examples/", - "url": "https://stairlab.github.io/opensees-gallery/examples/", + "@id": "http://localhost:1313/opensees-gallery/examples/", + "url": "http://localhost:1313/opensees-gallery/examples/", "name": "Examples" } },{ "@type": "ListItem", "position": 3 , "item": { - "@id": "https://stairlab.github.io/opensees-gallery/examples/buildingmodes/" + "@id": "http://localhost:1313/opensees-gallery/examples/buildingmodes/" } }] }, @@ -157,9 +157,9 @@ "@graph": [ { "@type": "ImageObject", - "@id": "https://stairlab.github.io/opensees-gallery/examples/buildingmodes/#/schema/image/2", - "url": "https://stairlab.github.io/opensees-gallery/opensees-gallery/examples/buildingmodes/img/mode_shapes-1280x640.png", - "contentUrl": "https://stairlab.github.io/opensees-gallery/opensees-gallery/examples/buildingmodes/img/mode_shapes-1280x640.png", + "@id": "http://localhost:1313/opensees-gallery/examples/buildingmodes/#/schema/image/2", + "url": "http://localhost:1313/opensees-gallery/opensees-gallery/examples/buildingmodes/img/mode_shapes-1280x640.png", + "contentUrl": "http://localhost:1313/opensees-gallery/opensees-gallery/examples/buildingmodes/img/mode_shapes-1280x640.png", "caption": "Building Modes" } ] @@ -252,6 +252,24 @@ + About  + + +

+ +

+ + + + + + + + + + + + + + + + + + + + + + -{.align-centeralign-center -width=“500px”}

-

Thermal expansion of the beam recorded at node 2

+ srcset="/opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample1/img/Example1_Output-576x435.webp 576w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample1/img/Example1_Output-768x580.webp 768w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample1/img/Example1_Output-992x749.webp 992w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample1/img/Example1_Output-1200x906.webp 1200w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample1/img/Example1_Output-1400x1058.webp 1400w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample1/img/Example1_Output-2800x2115.webp 2800w" sizes="100vw" + height="2115" + width="2800" + alt="Thermal expansion of the beam recorded at node 2"> +{.align-centeralign-center width=“500px”}

-

Sources +

Sources -  

+  

@@ -915,19 +947,15 @@

Sources On this page: @@ -1236,7 +1264,7 @@

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BasicBuilder -ndm 2 -ndf 3; # Define the model builder, ndm = #dimension, ndf = #dofs + #source DisplayModel2D.tcl; # procedure for displaying a 2D perspective of model + #source DisplayPlane.tcl; # procedure for displaying a plane in a model + set dataDir Examples/Example1_OUTPUT; # name of output folder + file mkdir $dataDir; # create output folder + + +#------------------------------------------------------------------------------ +# Geometric model +# ________ +# | | | 4 fibers in section +# 1 |------------------------|2 |____|____| 0.4m +# |<----------1m---------->| | | | +# |____|____| +# 0.2m +#------------------------------------------------------------------------------ +################################################################################################### +# Define Geometry, Nodes, Masses, and Constraints +################################################################################################### + + +###################################### NODE DEFINITIONS ########################################### +# http://opensees.berkeley.edu/wiki/index.php/Node_command + +# node nodetag locx locy +node 1 0 0; +node 2 1000 0; + +###################################### BOUNDRY CONDITIONS ######################################### +# http://opensees.berkeley.edu/wiki/index.php/Fix_command + +#fix nodetag dofx dofy dof moment about z [ 1 = fixed 0 = free ]; + +#Left end fixed - right end roller to allow expansion. +fix 1 1 1 0; #pinned +fix 2 0 1 0; #roller + +##################################### MATERIAL DEFINITIONS ######################################## + +set Es 210000; #Mpa # steel Young's modulus; +set Fy 250; #MPa # steel yield strength; +set b 0.001; # strain-hardening ratio; + +#uniaxialMaterial Steel01Thermal $matTag $Fy $E0 $b +uniaxialMaterial Steel01Thermal 1 $Fy $Es $b; + + +##################################### TRANSFORMATION DEFINITIONS ############################ +# http://opensees.berkeley.edu/wiki/index.php/Geometric_Transformation_Command + +#three transformation types can be chosen: Linear, PDelta, Corotational + +# transforamtion: geomTransf $type $TransfTag; +set transftag 1 +geomTransf Linear $transftag; + + +###################################### ELEMENT GEOMETRY ############################################ + + +# PATCH COMMAND: http://opensees.berkeley.edu/wiki/index.php/Patch_Command + +section FiberThermal 1 -GJ $Es { + + set numSubdivIJ 2; # horizontal + set numSubdivJK 2; # vertical + set yI -100; + set zI -200; + set yJ 100; + set zJ -200; + set yK 100; + set zK 200; + set yL -100; + set zL 200; + patch quad 1 $numSubdivIJ $numSubdivJK $yI $zI $yJ $zJ $yK $zK $yL $zL +} + + + +###################################### ELEMENT PROPERTIES ########################################### + +#dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $TransfTag; +element dispBeamColumnThermal 1 1 2 5 1 $transftag; + +###################################### RECORDER OUTPUTS ############################################# + +# http://opensees.berkeley.edu/wiki/index.php/Recorder_Command + +recorder Node -file $dataDir/Node2disp.out -time -node 2 -dof 1 disp; # displacements of end node (2) DOF 1 Horizontal Direction + + +###################################### THERMAL LOADS ############################################### + +# Defining tempurature data for two extreme locations. Tempturature will be linearally interpolated betweent the two locations. + +set T 1180.; #Max Temp - DEG CELCIUS +set Y1 200.; #top fiber of beam +set Y2 -200.; #Bottom fiber of beam + + +#pattern Plain $PatternTag Linear { eleLoad -ele $eleTag -type -beamThermal $MaxTemp $ExtremeFiberLoc1 $MaxTemp $ExtremeFiberLoc2 }; +pattern Plain 1 Linear { eleLoad -ele 1 -type -beamThermal $T $Y2 $T $Y1 }; + + +set Nstep 1000; +set Factor [expr 1.0/$Nstep]; + +constraints Plain; +numberer Plain; +system BandGeneral; +test NormDispIncr 1e-12 500; +algorithm Newton; +integrator LoadControl $Factor; +analysis Static; +analyze $Nstep; + + +puts "Fire Done. 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Left half of beam stays at ambient tempurature, +# while the right side is subjected to a tempurature rise to 1180 deg Celcius. Displacement recorded at +# midsnap node of beam. +# +# Units: Newtons, m, seconds + +################################################################################################### +# Set Up & Source Definition +################################################################################################### + + wipe all; # clear memory of past model definitions + # 'basic', 'number of dimensions [ndm], number of degrees of freedom [ndf]' + model BasicBuilder -ndm 2 -ndf 3; # Define the model builder, ndm = #dimension, ndf = #dofs + set dataDir Example2_OUTPUT; # name of output folder + file mkdir $dataDir; # create output folder + + +############################# GEOMETERIC MODEL #################################################### +# +# ________ +# | | | 4 fibers in section +# 1 |------------2------------|3 |____|____| 200mm +# |<-----1m----|----1m----->| | | | +# |<-----------2m---------->| |____|____| +# 400mm +# +################################################################################################### +# Define Geometry, Nodes, Masses, and Constraints +################################################################################################### + + +###################################### NODE DEFINITIONS ########################################### + +#node $nodetag $locx $locy +node 1 0 0; +node 2 1000 0; #mm +node 3 2000 0; #mm + +###################################### BOUNDRY CONDITIONS ######################################### +# http://opensees.berkeley.edu/wiki/index.php/Fix_command + +#fix nodetag dofx dofy dof3(rotation) [ 1 = fixed 0 = free ]; +fix 1 1 1 0; #PINNED +fix 2 0 1 0; #vertical restraint +fix 3 1 1 0; #PINNED + +##################################### MATERIAL DEFINITIONS ######################################## + +set Es 210000; #MPa # steel initial Young's modulus; +set Fy 250; #MPa # steel initial yield strength; +set b 0.001; #0.1% # strain-hardening ratio; + +set matTag 1 +#uniaxialMaterial Steel01Thermal $matTag $Fy $E0 $b +uniaxialMaterial Steel01Thermal $matTag $Fy $Es $b; + +##################################### TRANSFORMATION DEFINITIONS ############################ +# http://opensees.berkeley.edu/wiki/index.php/Geometric_Transformation_Command + +#three transformation types can be chosen: Linear, PDelta, Corotational + +# transforamtion: geomTransf $type $transfTag; +set transfTag 1; +geomTransf Linear $transfTag ; + + +###################################### ELEMENT GEOMETRY ############################################ +# PATCH COMMAND: http://opensees.berkeley.edu/wiki/index.php/Patch_Command + +set secTag 1; +section FiberThermal $secTag -GJ $Es { + + set numSubdivIJ 2; # horizontal + set numSubdivJK 2; # vertical + set yI -100; + set zI -200; + set yJ 100; + set zJ -200; + set yK 100; + set zK 200; + set yL -100; + set zL 200; + patch quad $matTag $numSubdivIJ $numSubdivJK $yI $zI $yJ $zJ $yK $zK $yL $zL +} + + +###################################### ELEMENT PROPERTIES ########################################### + +#dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $TransfTag; + +element dispBeamColumnThermal 1 1 2 5 $secTag $transfTag; #Element 1 + +element dispBeamColumnThermal 2 2 3 5 $secTag $transfTag; + + +############################# RECORDER OUTPUTS ###################################################### + +# http://opensees.berkeley.edu/wiki/index.php/Recorder_Command + +#Displacment at center node DOF 1 (Horizontal Direction) +recorder Node -file $dataDir/MidspanNodeDisp.out -time -node 2 -dof 1 disp; + +#Boundry RXNs +recorder Node -file $dataDir/BoundryRXN.out -time -node 1 3 -dof 1 2 reaction; + +#Section forces in Element 1 & 2 +recorder Element -file $dataDir/ele_force_1.out -time -ele 1 section 2 force +recorder Element -file $dataDir/ele_force_2.out -time -ele 2 section 2 force + +####################################### THERMAL LOADS ############################################### + +set T 1180; #Max Temp - DEG CELCIUS +set Y1 -100; #Top fiber of beam - mm +set Y2 100; #Bottom fiber of beam - mm + + +#pattern Plain PatternTag Linear { eleLoad -ele $eleTag -type -beamThermal $Tempurature1 $Location 1 $Tempurature2 $Location2;} +pattern Plain 1 Linear { + eleLoad -ele 1 -type -beamThermal 0 $Y1 0 $Y2; + eleLoad -ele 2 -type -beamThermal $T $Y1 $T $Y2; +} + +set Nsteps 1000; +set Factor [expr 1.0/$Nsteps]; + + +constraints Plain; +numberer Plain; +system BandGeneral; +test NormDispIncr 1e-12 500 ; +algorithm ModifiedNewton; +integrator LoadControl $Factor; +analysis Static; +analyze $Nsteps; + + +puts "Fire Done. End Time: [getTime]" + +wipe; + + + + + diff --git a/examples/thermalexamples/thermalexample2/files/Example3.tcl b/examples/thermalexamples/thermalexample2/files/Example3.tcl new file mode 100644 index 00000000..99c75f51 --- /dev/null +++ b/examples/thermalexamples/thermalexample2/files/Example3.tcl @@ -0,0 +1,203 @@ +########################################################################################## +# Code by Walker Maddalozzo & Dr. Erica Fischer - Oregon State Univeristy - April 2019 +# Example: thermal expansion & deflection of a simple beam with a uniformaly distributed load +# Units: Newtons, mm, seconds + + +################################################################################################### +# Set Up & Source Definition +################################################################################################### + wipe all; # clear memory of past model definitions + model BasicBuilder -ndm 2 -ndf 3; # Define the model builder, ndm = #dimension, ndf = #dofs + source WsectionThermal.tcl + + set dataDir Example3_OUTPUT; # name of output folder + file mkdir $dataDir; + + + # create output folder + +############################# GEOMETERIC MODEL ############################################ +# +# +# +# +# 1 |---2---3---4---5---6---|7 +# |<----------6m--------->| +# +# +# +############################################################################################ +# Define Geometry, Nodes, Masses, and Constraints +############################################################################################ + + +############################## NODAL DEFINITIONS ########################################## +# http://opensees.berkeley.edu/wiki/index.php/Node_command + +# node nodetag locx locy +node 1 0 0; #mm +node 2 1000 0; #mm +node 3 2000 0; #mm +node 4 3000 0; #mm +node 5 4000 0; #mm +node 6 5000 0; #mm +node 7 6000 0; #mm + + +#define boundary condition; + +#fix nodetag dofx dofy dofz [ 1 = fixed 0 = free ]; + +fix 1 1 1 0; #pinned + +#switch between pin & roller to see the effects of restraining both ends of the beam +fix 7 1 1 0; #pinned +#fix 7 0 1 0; #roller + + +############################# MATERIAL DEFINITIONS ######################################### + + +set Fy 275; #MPa # steel yield strength +set Es 210000; #MPa # steel Young's modulus +set b 0.01; # strain-hardening ratio + +set matTag 1; +#uniaxialMaterial Steel01Thermal $matTag $Fy $E0 $b +uniaxialMaterial Steel01Thermal $matTag $Fy $Es $b; + +############################# SECTION PROPERTIES ########################################### + +# Wsection dimensions + + set d 355; #mm # depth of beam + set bf 171.5; #mm # flange width + set tf 11.5; #mm # flange thickness + set tw 7.4; #mm # web thickness + + set nfdw 8; # number of fibers along dw + set nftw 1; # number of fibers along tw + set nfbf 1; # number of fibers along bf + set nftf 4; # number of fibers along tf + + set secTag 1; + +# sources Wsection.tcl which created a fibered section using dimensions d,bf,tf,tw and the number of fibers to be created. + +# Wsection $secTag $matTag $d $bf $tf $tw $nfdw $nftw $nfbf $nftf +WsectionThermal $secTag $matTag $d $bf $tf $tw $nfdw $nftw $nfbf $nftf $Es; + + + +##################################### TRANSFORMATION DEFINITIONS ############################ +# http://opensees.berkeley.edu/wiki/index.php/Geometric_Transformation_Command + +#three transformation types can be chosen: Linear, PDelta, Corotational + +# transforamtion: geomTransf $type $transfTag; + +set transfTag 1; +# Switch between Linear & Corotational to observe 2nd-order effects +#geomTransf Linear $transfTag; +geomTransf Corotational $transfTag; + + +############################# ELEMENT PROPERTIES ########################################### + +#define beam element: dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $TransfTag; +#"numIntgrPts" is the number of integration points along the element; +#"TransfTag" is pre-defined coordinate-transformation; +#element choice is dispBeamColumnTemperature + +#dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $transfTag; + +element dispBeamColumnThermal 1 1 2 5 $secTag $transfTag; +element dispBeamColumnThermal 2 2 3 5 $secTag $transfTag; +element dispBeamColumnThermal 3 3 4 5 $secTag $transfTag; +element dispBeamColumnThermal 4 4 5 5 $secTag $transfTag; +element dispBeamColumnThermal 5 5 6 5 $secTag $transfTag; +element dispBeamColumnThermal 6 6 7 5 $secTag $transfTag; + + +############################# RECORDER OUTPUTS ############################################# + +recorder Node -file $dataDir/Midspan_Disp.out -time -node 4 -dof 2 disp; +recorder Node -file $dataDir/RXNs.out -time -node 1 7 -dof 2 reaction; + + + +############################# GRAVITY LOADS ################################################ + +pattern Plain 1 Linear { +#PK CREATE UNIFORM LOADS FOR BEAMS +set UDL -10; + +for {set level 1} {$level <= 6} {incr level 1} { + set eleID $level; + eleLoad -ele $eleID -type -beamUniform $UDL 0; + }} + + + + set NstepGravity 10; # apply gravity in 10 steps + set DGravity [expr 1.0/$NstepGravity]; # load increment + set Tol 1.0e-8; # convergence tolerance for test + + constraints Plain; # how it handles boundary conditions + numberer RCM; # renumber dof's to minimize band-width (optimization) + system UmfPack; # how to store and solve the system of equations in the analysis (large model: try UmfPack) + test NormDispIncr $Tol 100; # determine if convergence has been achieved at the end of an iteration step + algorithm Newton; # use Newton's solution algorithm: updates tangent stiffness at every iteration + integrator LoadControl $DGravity; # determine the next time step for an analysis + analysis Static; # define type of analysis: static or transient + analyze $NstepGravity; # apply gravity + + + + +puts "Loading Done. End Time: [getTime]" + + loadConst -time 0.0 + +############################# THERMAL LOADS ############################################### + +set T 1180; #Max Temp - DEG CELCIUS +set Y1 [expr $d/2]; #top fiber of beam +set Y2 [expr -$d/2]; #Bottom fiber of beam + + +pattern Plain 3 Linear { + + + for {set level 1} {$level <= 6} {incr level 1} { + set eleID $level + eleLoad -ele $eleID -type -beamThermal $T $Y2 $T $Y1; + } + } + + + set Nstep 1000; + set Factor [expr 1.0/$Nstep]; # first load increment; + + constraints Plain; # how it handles boundary conditions + numberer Plain; # renumber dof's to minimize band-width (optimization) + system UmfPack; + test NormDispIncr 1e-6 1000; + algorithm Newton; # use Newton's solution algorithm: updates tangent stiffness at every iteration + integrator LoadControl $Factor; # determine the next time step for an analysis + analysis Static; # define type of analysis static or transient + analyze $Nstep; # apply fire load + + + +puts "Fire Done. 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Univeristy - May 2019 +# Example: 2D frame with 2 bays: where beam and column are subjected to fire from one side +# Units: Newtons, m, seconds + + + +wipe all; +set dataDir Example5_OUTPUT; # name of output folder +file mkdir $dataDir; #create output folder + +model BasicBuilder -ndm 2 -ndf 3; #2D 3DOF + +source WsectionThermal.tcl; + + + + +############################## NODAL DEFINITIONS ########################################## +# http://opensees.berkeley.edu/wiki/index.php/Node_command + +node 1 0.000 0.000 ;#Column 1 #SUPPORT A +node 2 0.000 0.118 ;#Column 1 +node 3 0.000 0.236 ;#Column 1 +node 4 0.000 0.354 ;#Column 1 +node 5 0.000 0.472 ;#Column 1 +node 6 0.000 0.590 ;#Column 1 +node 7 0.000 0.708 ;#Column 1 +node 8 0.000 0.826 ;#Column 1 +node 9 0.000 0.944 ;#Column 1 +node 10 0.000 1.062 ;#Column 1 +node 11 0.000 1.180 ;#Column 1 #NODE U1 + +node 12 1.200 0.000 ; #Column 2 #SUPPORT B +node 13 1.200 0.118 ; #Column 2 +node 14 1.200 0.236 ; #Column 2 +node 15 1.200 0.354 ; #Column 2 +node 16 1.200 0.472 ; #Column 2 +node 17 1.200 0.59 ; #Column 2 +node 18 1.200 0.708 ; #Column 2 +node 19 1.200 0.826 ; #Column 2 +node 20 1.200 0.944 ; #Column 2 +node 21 1.200 1.062 ; #Column 2 +node 22 1.200 1.18 ; #Column 2 #NODE U2 + +node 23 2.400 0.000 ; #Column 3 #SUPPORT C +node 24 2.400 0.118 ; #Column 3 +node 25 2.400 0.236 ; #Column 3 +node 26 2.400 0.354 ; #Column 3 +node 27 2.400 0.472 ; #Column 3 +node 28 2.400 0.59 ; #Column 3 +node 29 2.400 0.708 ; #Column 3 +node 30 2.400 0.826 ; #Column 3 +node 31 2.400 0.944 ; #Column 3 +node 32 2.400 1.062 ; #Column 3 +node 33 2.400 1.18 ; #Column 3 + +node 34 0.120 1.180 ; #BEAM 1 +node 35 0.24 1.180 ; #BEAM 1 +node 36 0.36 1.180 ; #BEAM 1 +node 37 0.48 1.180 ; #BEAM 1 +node 38 0.6 1.180 ; #BEAM 1 +node 39 0.72 1.180 ; #BEAM 1 +node 40 0.84 1.180 ; #BEAM 1 +node 41 0.96 1.180 ; #BEAM 1 +node 42 1.08 1.180 ; #BEAM 1 + +node 43 1.32 1.180 ; #BEAM 2 +node 44 1.44 1.180 ; #BEAM 2 +node 45 1.56 1.180 ; #BEAM 2 +node 46 1.68 1.180 ; #BEAM 2 +node 47 1.8 1.180 ; #BEAM 2 +node 48 1.92 1.180 ; #BEAM 2 +node 49 2.04 1.180 ; #BEAM 2 +node 50 2.16 1.180 ; #BEAM 2 +node 51 2.28 1.180 ; #BEAM 2 + + +###################################### BOUNDRY CONDITIONS ######################################### +# http://opensees.berkeley.edu/wiki/index.php/Fix_command + +#fix nodetag dofx dofy dof moment about z [ 1 = fixed 0 = free ]; +fix 1 1 1 0; +fix 12 1 1 0; +fix 23 1 1 0; + + +############################# MATERIAL DEFINITIONS ######################################### + +set Es 210000000; #MPa # steel initial Young's modulus; +set Fy 355000; #MPa # steel initial yield strength; +set b 0.001; #0.1% # strain-hardening ratio; + +set matTag 1; +#define steel01 material: $matTag $yieldStress $E $rat +uniaxialMaterial Steel01Thermal $matTag $Fy $Es $b; + +set secTag 1; +set d 0.080; # depth +set bf 0.046; # flange width +set tf 0.0052; # flange thickness +set tw 0.0038; # web thickness +set nfdw 8; # number of fibers along dw +set nftw 1; # number of fibers along tw +set nfbf 1; # number of fibers along bf +set nftf 4; # number of fibers along tf + + +WsectionThermal $secTag $matTag $d $bf $tf $tw $nfdw $nftw $nfbf $nftf $Es + + + +##################################### TRANSFORMATION DEFINITIONS ############################ +# http://opensees.berkeley.edu/wiki/index.php/Geometric_Transformation_Command + +#three transformation types can be chosen: Linear, PDelta, Corotational + +set transfTag 1; +# transforamtion: geomTransf $type $TransfTag; +geomTransf Corotational $transfTag ; + +############################# ELEMENT PROPERTIES ########################################### + + +#define beam element: dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $TransfTag; +#"numIntgrPts" is the number of integration points along the element; +#"TransfTag" is pre-defined coordinate-transformation; +#element choice is dispBeamColumnTemperature + +#dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $transfTag; + +element dispBeamColumnThermal 1 1 2 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 2 2 3 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 3 3 4 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 4 4 5 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 5 5 6 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 6 6 7 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 7 7 8 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 8 8 9 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 9 9 10 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 10 10 11 3 $secTag $transfTag; #COLUMN 1 + +element dispBeamColumnThermal 11 12 13 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 12 13 14 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 13 14 15 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 14 15 16 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 15 16 17 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 16 17 18 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 17 18 19 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 18 19 20 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 19 20 21 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 20 21 22 3 $secTag $transfTag; #COLUMN 2 + +element dispBeamColumnThermal 21 23 24 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 22 24 25 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 23 25 26 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 24 26 27 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 25 27 28 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 26 28 29 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 27 29 30 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 28 30 31 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 29 31 32 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 30 32 33 3 $secTag $transfTag; #COLUMN 3 + +element dispBeamColumnThermal 31 11 34 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 32 34 35 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 33 35 36 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 34 36 37 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 35 37 38 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 36 38 39 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 37 39 40 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 38 40 41 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 39 41 42 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 40 42 22 3 $secTag $transfTag; #BEAM 1 + +element dispBeamColumnThermal 41 22 43 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 42 43 44 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 43 44 45 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 44 45 46 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 45 46 47 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 46 47 48 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 47 48 49 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 48 49 50 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 49 50 51 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 50 51 33 3 $secTag $transfTag; #BEAM 2 + + + +############################################## OUTPUTS ###################################################################### + +recorder Node -file $dataDir/U1.out -time -node 11 -dof 1 disp; # displacements of node U1 DOF 1 +recorder Node -file $dataDir/U2.out -time -node 22 -dof 1 disp; # displacements of node U2 DOF 1 +recorder Node -file $dataDir/RXNS.out -time -node 1 12 23 -dof 2 3 reaction; #support RXNS + + + + + +############################################## GRAVITY LOADING ############################################################## + + +#GRAVITY LOADS +pattern Plain 1 Linear { +load 4 0. -74.0 0.; +load 22 0. -74.0 0.; +load 33 2.85 -74.0 0.; +for {set i 31} {$i <= 50} {incr i} { + eleLoad -ele $i -type -beamUniform -0.060 0. 0.; +} +}; + +set Nstep 100; +set Factor [expr 1.0/$Nstep]; + +# GRAVITY LOAD ANALYSIS +constraints Plain; +numberer Plain; +system BandGeneral; +test NormDispIncr 1e-12 500 ; +algorithm Newton; +integrator LoadControl $Factor +analysis Static; +analyze $Nstep; +loadConst -time 0.0 + +puts "Loads - Done!" + +############################## THERMAL LOADING ################################### + +set T 550; #Max Temp - DEG CELCIUS +set Y2 [expr -$d/2]; #top fiber of beam +set Y1 [expr $d/2]; #Bottom fiber of beam + + +pattern Plain 2 Linear { + for {set i 1} {$i <= 20} {incr i} { eleLoad -ele $i -type -beamThermal $T $Y2 $T $Y1; } + for {set i 31} {$i <= 40} {incr i} { eleLoad -ele $i -type -beamThermal $T $Y2 $T $Y1; } +}; + + set Nstep 1000; + set Factor [expr 1.0/$Nstep]; # first load increment; + + constraints Plain; # how it handles boundary conditions + numberer Plain; # renumber dof's to minimize band-width (optimization) + system UmfPack; + test NormDispIncr 1e-6 1000; + algorithm Newton; # use Newton's solution algorithm: updates tangent stiffness at every iteration + integrator LoadControl $Factor; # determine the next time step for an analysis + analysis Static; # define type of analysis static or transient + analyze $Nstep; # apply fire load + +puts "Fire - Done!" + +wipe; + diff --git a/examples/thermalexamples/thermalexample2/files/Example5_OUTPUT.zip b/examples/thermalexamples/thermalexample2/files/Example5_OUTPUT.zip new file mode 100644 index 0000000000000000000000000000000000000000..3aa06ed9d5a65540384c480564c48c85894244cf GIT binary patch literal 34342 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z{$mq+)$>B2)5Mh{V2OW^R^>~Vfo#Xivzk=U&zgduv2a&Mj@tGZ>L9rj=37Xlb^v4d zXDC(-i-`ihy|gZqrCqz`b@`8eQeLXAgyW{Ch(U%^KaS{77p--iCm|QdSf)3Ol)*q^ zTf~BDEYw9bx{o2LM|r=%Uq@9D^c+voNow?4=2S{D!{3#`{m^?UH313Y!U`X zvf+>pW}#%rG%Z=}n**+!XuRa1uBt3@*D2|dPx@yP1CTg0dCgGCZ3#y;F8!Q

-

Objective +

Objective -  

+  

Example 2 Objectives:

  1. Develop a simply supported steel beam using displacement-based beam @@ -559,9 +566,9 @@

    Objective

-

Material +

Material -  

+  

The uniaxialMaterial Steel01Thermal includes temperature-dependent steel thermal and mechanical properties per Eurocode 3

@@ -592,9 +599,9 @@

Material Transformation +

Transformation -  

+  

The beam is expanding in one direction, therefore, 2nd order bending effects do not need to be considered.

geomTransf Linear $transftag;

Learn more about geometric transofrmations: @@ -610,20 +617,42 @@

Transformation -->

-

Section +

Section -  

+  

The discretization of the steel section into four fibers is shown using the code below:

-
section FiberThermal secTag -GJ $Es{
set numSubdivIJ 2; \# horizontal division
set numSubdivJK 2; \# vertical division
set yI -100; #mm
set zI -200; #mm
set yJ 100; #mm
set zJ -200; #mm
set yK 100; #mm
set zK 200; #mm
set yL -100; #mm
set zL 200; #mm
patch quad $matTag $numSubdivIJ $numSubdivJK $yI $zI $yJ $zJ $yK
-$zK $yL $zL

Sections that will be subjected to thermal loading must be created with +

section FiberThermal secTag -GJ $Es{
+
+    set numSubdivIJ 2; \# horizontal division
+
+    set numSubdivJK 2; \# vertical division
+
+    set yI -100; #mm
+
+    set zI -200; #mm
+
+    set yJ 100; #mm
+
+    set zJ -200; #mm
+
+    set yK 100; #mm
+
+    set zK 200; #mm
+
+    set yL -100; #mm
+
+    set zL 200; #mm
+
+    patch quad $matTag $numSubdivIJ $numSubdivJK $yI $zI $yJ $zJ $yK $zK $yL $zL
+}

Sections that will be subjected to thermal loading must be created with fiberThermal or fibersecThermal.

In previous versions of OpenSees, a default value for torsional stiffness was used (GJ). In versions 3.1.0 and newer fiber sections require a value for torsional stiffness. This is a 2D example with negligible torsion, however a value is required. The Young's Modulus is used for convenience.

-

The discretization can be visualized as such:

+

The discretization can be visualized as such:

@@ -647,19 +676,18 @@

Section + srcset="/opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_fig2-576x410.webp 576w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_fig2-768x547.webp 768w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_fig2-992x707.webp 992w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_fig2-1200x855.webp 1200w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_fig2-1400x997.webp 1400w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_fig2-2800x1995.webp 2800w" sizes="100vw" + height="1995" + width="2800" + alt="Cross section of rectangular beam showing fiber discretization"> {.align-centeralign-center width=“400px”}

-

Cross section of rectangular beam showing fiber discretization

-

Elements +

Elements -  

+  

dispBeamColumnThermal elements are used because temperature-dependent thermal and mechanical steel properties can be applied to these elements. Any portion of the structure that is being heated must use @@ -678,9 +706,9 @@

Elements
element dispBeamColumnThermal 1 1 2 5 $secTag $transftag;

Element 2

element dispBeamColumnThermal 1 2 3 5 $secTag $transftag;
-

Output Recorders +

Output Recorders -  

+  

Displacement of the middle of node (2) in DOF 1 (horizontal direction) and the horizontal reaction force from the boundary conditions is what we want to record. To do so, a folder within your working directory must @@ -698,9 +726,9 @@

Output Recorders Thermal Loading +

Thermal Loading -  

+  

This particular model is heating a beam to a set temperature over the time period of the model. We are not asking OpenSees to use a specific time-temperature curve, rather linearly ramp up the temperature from @@ -774,12 +802,12 @@

Thermal Loading {.align-centeralign-center width=“500px”}

Location of defined input temperature locations on the member cross @@ -793,9 +821,9 @@

Thermal Loading
pattern Plain 1 Linear {eleLoad -ele 1 -type --beamThermal $T $Y2 $T
 Y1; eleLoad -ele 2 -type --beamThermal $T $Y2 $T Y1 }
-

Thermal Analysis +

Thermal Analysis -  

+  

Thermal loading is applied in 1000 steps, with a load factor of 0.001. Each step is a 0.001 increment of the maximum temperature specified in the thermal loading step: T. The analysis is a static analysis and the @@ -807,24 +835,21 @@

Thermal Analysis -
set Nsteps 1000
set Factor \[expr 1.0/$Nsteps\];
integrator LoadControl $Factor;
analyze $Nsteps;
- - -

Output Plots +
set Nsteps 1000
+
+set Factor \[expr 1.0/$Nsteps\];
+
+integrator LoadControl $Factor;
+
+analyze $Nsteps;
+

Output Plots -  

+  

After the model has completed running, the results will be a horizontal displacement of the recorded node, the internal forces in the elements, and the reactions from the boundary conditions. Since the temperature was linearly ramped up from ambient to 1180 ° C, the user can develop a temperature history that matches every increment of the model.

-

Element 1 internal axial force vs. temperature

@@ -848,16 +873,14 @@

Output Plots -{.align-centeralign-center -width=“500px”}

-

Node 2 Horizontal displacement versus temperature

+ srcset="/opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output2-576x435.webp 576w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output2-768x580.webp 768w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output2-992x750.webp 992w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output2-1200x907.webp 1200w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output2-1400x1058.webp 1400w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output2-2800x2116.webp 2800w" sizes="100vw" + height="2116" + width="2800" + alt="Element 1 internal axial force vs. temperature"> +{.align-centeralign-center width=“500px”}

@@ -881,19 +904,18 @@

Output Plots -{.align-centeralign-center -width=“500px”}

+ srcset="/opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output1-576x435.webp 576w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output1-768x580.webp 768w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output1-992x750.webp 992w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output1-1200x907.webp 1200w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output1-1400x1058.webp 1400w, /opensees-gallery/opensees-gallery/examples/thermalexamples/thermalexample2/img/Example2_output1-2800x2116.webp 2800w" sizes="100vw" + height="2116" + width="2800" + alt="Node 2 Horizontal displacement versus temperature"> +{.align-centeralign-center width=“500px”}

-

Sources +

Sources -  

+  

@@ -948,20 +970,16 @@

Sources On this page: @@ -1271,7 +1289,7 @@

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BasicBuilder -ndm 2 -ndf 3; # Define the model builder, ndm = #dimension, ndf = #dofs + #source DisplayModel2D.tcl; # procedure for displaying a 2D perspective of model + #source DisplayPlane.tcl; # procedure for displaying a plane in a model + set dataDir Examples/Example1_OUTPUT; # name of output folder + file mkdir $dataDir; # create output folder + + +#------------------------------------------------------------------------------ +# Geometric model +# ________ +# | | | 4 fibers in section +# 1 |------------------------|2 |____|____| 0.4m +# |<----------1m---------->| | | | +# |____|____| +# 0.2m +#------------------------------------------------------------------------------ +################################################################################################### +# Define Geometry, Nodes, Masses, and Constraints +################################################################################################### + + +###################################### NODE DEFINITIONS ########################################### +# http://opensees.berkeley.edu/wiki/index.php/Node_command + +# node nodetag locx locy +node 1 0 0; +node 2 1000 0; + +###################################### BOUNDRY CONDITIONS ######################################### +# http://opensees.berkeley.edu/wiki/index.php/Fix_command + +#fix nodetag dofx dofy dof moment about z [ 1 = fixed 0 = free ]; + +#Left end fixed - right end roller to allow expansion. +fix 1 1 1 0; #pinned +fix 2 0 1 0; #roller + +##################################### MATERIAL DEFINITIONS ######################################## + +set Es 210000; #Mpa # steel Young's modulus; +set Fy 250; #MPa # steel yield strength; +set b 0.001; # strain-hardening ratio; + +#uniaxialMaterial Steel01Thermal $matTag $Fy $E0 $b +uniaxialMaterial Steel01Thermal 1 $Fy $Es $b; + + +##################################### TRANSFORMATION DEFINITIONS ############################ +# http://opensees.berkeley.edu/wiki/index.php/Geometric_Transformation_Command + +#three transformation types can be chosen: Linear, PDelta, Corotational + +# transforamtion: geomTransf $type $TransfTag; +set transftag 1 +geomTransf Linear $transftag; + + +###################################### ELEMENT GEOMETRY ############################################ + + +# PATCH COMMAND: http://opensees.berkeley.edu/wiki/index.php/Patch_Command + +section FiberThermal 1 -GJ $Es { + + set numSubdivIJ 2; # horizontal + set numSubdivJK 2; # vertical + set yI -100; + set zI -200; + set yJ 100; + set zJ -200; + set yK 100; + set zK 200; + set yL -100; + set zL 200; + patch quad 1 $numSubdivIJ $numSubdivJK $yI $zI $yJ $zJ $yK $zK $yL $zL +} + + + +###################################### ELEMENT PROPERTIES ########################################### + +#dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $TransfTag; +element dispBeamColumnThermal 1 1 2 5 1 $transftag; + +###################################### RECORDER OUTPUTS ############################################# + +# http://opensees.berkeley.edu/wiki/index.php/Recorder_Command + +recorder Node -file $dataDir/Node2disp.out -time -node 2 -dof 1 disp; # displacements of end node (2) DOF 1 Horizontal Direction + + +###################################### THERMAL LOADS ############################################### + +# Defining tempurature data for two extreme locations. Tempturature will be linearally interpolated betweent the two locations. + +set T 1180.; #Max Temp - DEG CELCIUS +set Y1 200.; #top fiber of beam +set Y2 -200.; #Bottom fiber of beam + + +#pattern Plain $PatternTag Linear { eleLoad -ele $eleTag -type -beamThermal $MaxTemp $ExtremeFiberLoc1 $MaxTemp $ExtremeFiberLoc2 }; +pattern Plain 1 Linear { eleLoad -ele 1 -type -beamThermal $T $Y2 $T $Y1 }; + + +set Nstep 1000; +set Factor [expr 1.0/$Nstep]; + +constraints Plain; +numberer Plain; +system BandGeneral; +test NormDispIncr 1e-12 500; +algorithm Newton; +integrator LoadControl $Factor; +analysis Static; +analyze $Nstep; + + +puts "Fire Done. 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Left half of beam stays at ambient tempurature, +# while the right side is subjected to a tempurature rise to 1180 deg Celcius. Displacement recorded at +# midsnap node of beam. +# +# Units: Newtons, m, seconds + +################################################################################################### +# Set Up & Source Definition +################################################################################################### + + wipe all; # clear memory of past model definitions + # 'basic', 'number of dimensions [ndm], number of degrees of freedom [ndf]' + model BasicBuilder -ndm 2 -ndf 3; # Define the model builder, ndm = #dimension, ndf = #dofs + set dataDir Example2_OUTPUT; # name of output folder + file mkdir $dataDir; # create output folder + + +############################# GEOMETERIC MODEL #################################################### +# +# ________ +# | | | 4 fibers in section +# 1 |------------2------------|3 |____|____| 200mm +# |<-----1m----|----1m----->| | | | +# |<-----------2m---------->| |____|____| +# 400mm +# +################################################################################################### +# Define Geometry, Nodes, Masses, and Constraints +################################################################################################### + + +###################################### NODE DEFINITIONS ########################################### + +#node $nodetag $locx $locy +node 1 0 0; +node 2 1000 0; #mm +node 3 2000 0; #mm + +###################################### BOUNDRY CONDITIONS ######################################### +# http://opensees.berkeley.edu/wiki/index.php/Fix_command + +#fix nodetag dofx dofy dof3(rotation) [ 1 = fixed 0 = free ]; +fix 1 1 1 0; #PINNED +fix 2 0 1 0; #vertical restraint +fix 3 1 1 0; #PINNED + +##################################### MATERIAL DEFINITIONS ######################################## + +set Es 210000; #MPa # steel initial Young's modulus; +set Fy 250; #MPa # steel initial yield strength; +set b 0.001; #0.1% # strain-hardening ratio; + +set matTag 1 +#uniaxialMaterial Steel01Thermal $matTag $Fy $E0 $b +uniaxialMaterial Steel01Thermal $matTag $Fy $Es $b; + +##################################### TRANSFORMATION DEFINITIONS ############################ +# http://opensees.berkeley.edu/wiki/index.php/Geometric_Transformation_Command + +#three transformation types can be chosen: Linear, PDelta, Corotational + +# transforamtion: geomTransf $type $transfTag; +set transfTag 1; +geomTransf Linear $transfTag ; + + +###################################### ELEMENT GEOMETRY ############################################ +# PATCH COMMAND: http://opensees.berkeley.edu/wiki/index.php/Patch_Command + +set secTag 1; +section FiberThermal $secTag -GJ $Es { + + set numSubdivIJ 2; # horizontal + set numSubdivJK 2; # vertical + set yI -100; + set zI -200; + set yJ 100; + set zJ -200; + set yK 100; + set zK 200; + set yL -100; + set zL 200; + patch quad $matTag $numSubdivIJ $numSubdivJK $yI $zI $yJ $zJ $yK $zK $yL $zL +} + + +###################################### ELEMENT PROPERTIES ########################################### + +#dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $TransfTag; + +element dispBeamColumnThermal 1 1 2 5 $secTag $transfTag; #Element 1 + +element dispBeamColumnThermal 2 2 3 5 $secTag $transfTag; + + +############################# RECORDER OUTPUTS ###################################################### + +# http://opensees.berkeley.edu/wiki/index.php/Recorder_Command + +#Displacment at center node DOF 1 (Horizontal Direction) +recorder Node -file $dataDir/MidspanNodeDisp.out -time -node 2 -dof 1 disp; + +#Boundry RXNs +recorder Node -file $dataDir/BoundryRXN.out -time -node 1 3 -dof 1 2 reaction; + +#Section forces in Element 1 & 2 +recorder Element -file $dataDir/ele_force_1.out -time -ele 1 section 2 force +recorder Element -file $dataDir/ele_force_2.out -time -ele 2 section 2 force + +####################################### THERMAL LOADS ############################################### + +set T 1180; #Max Temp - DEG CELCIUS +set Y1 -100; #Top fiber of beam - mm +set Y2 100; #Bottom fiber of beam - mm + + +#pattern Plain PatternTag Linear { eleLoad -ele $eleTag -type -beamThermal $Tempurature1 $Location 1 $Tempurature2 $Location2;} +pattern Plain 1 Linear { + eleLoad -ele 1 -type -beamThermal 0 $Y1 0 $Y2; + eleLoad -ele 2 -type -beamThermal $T $Y1 $T $Y2; +} + +set Nsteps 1000; +set Factor [expr 1.0/$Nsteps]; + + +constraints Plain; +numberer Plain; +system BandGeneral; +test NormDispIncr 1e-12 500 ; +algorithm ModifiedNewton; +integrator LoadControl $Factor; +analysis Static; +analyze $Nsteps; + + +puts "Fire Done. End Time: [getTime]" + +wipe; + + + + + diff --git a/examples/thermalexamples/thermalexample3/files/Example3.tcl b/examples/thermalexamples/thermalexample3/files/Example3.tcl new file mode 100644 index 00000000..99c75f51 --- /dev/null +++ b/examples/thermalexamples/thermalexample3/files/Example3.tcl @@ -0,0 +1,203 @@ +########################################################################################## +# Code by Walker Maddalozzo & Dr. Erica Fischer - Oregon State Univeristy - April 2019 +# Example: thermal expansion & deflection of a simple beam with a uniformaly distributed load +# Units: Newtons, mm, seconds + + +################################################################################################### +# Set Up & Source Definition +################################################################################################### + wipe all; # clear memory of past model definitions + model BasicBuilder -ndm 2 -ndf 3; # Define the model builder, ndm = #dimension, ndf = #dofs + source WsectionThermal.tcl + + set dataDir Example3_OUTPUT; # name of output folder + file mkdir $dataDir; + + + # create output folder + +############################# GEOMETERIC MODEL ############################################ +# +# +# +# +# 1 |---2---3---4---5---6---|7 +# |<----------6m--------->| +# +# +# +############################################################################################ +# Define Geometry, Nodes, Masses, and Constraints +############################################################################################ + + +############################## NODAL DEFINITIONS ########################################## +# http://opensees.berkeley.edu/wiki/index.php/Node_command + +# node nodetag locx locy +node 1 0 0; #mm +node 2 1000 0; #mm +node 3 2000 0; #mm +node 4 3000 0; #mm +node 5 4000 0; #mm +node 6 5000 0; #mm +node 7 6000 0; #mm + + +#define boundary condition; + +#fix nodetag dofx dofy dofz [ 1 = fixed 0 = free ]; + +fix 1 1 1 0; #pinned + +#switch between pin & roller to see the effects of restraining both ends of the beam +fix 7 1 1 0; #pinned +#fix 7 0 1 0; #roller + + +############################# MATERIAL DEFINITIONS ######################################### + + +set Fy 275; #MPa # steel yield strength +set Es 210000; #MPa # steel Young's modulus +set b 0.01; # strain-hardening ratio + +set matTag 1; +#uniaxialMaterial Steel01Thermal $matTag $Fy $E0 $b +uniaxialMaterial Steel01Thermal $matTag $Fy $Es $b; + +############################# SECTION PROPERTIES ########################################### + +# Wsection dimensions + + set d 355; #mm # depth of beam + set bf 171.5; #mm # flange width + set tf 11.5; #mm # flange thickness + set tw 7.4; #mm # web thickness + + set nfdw 8; # number of fibers along dw + set nftw 1; # number of fibers along tw + set nfbf 1; # number of fibers along bf + set nftf 4; # number of fibers along tf + + set secTag 1; + +# sources Wsection.tcl which created a fibered section using dimensions d,bf,tf,tw and the number of fibers to be created. + +# Wsection $secTag $matTag $d $bf $tf $tw $nfdw $nftw $nfbf $nftf +WsectionThermal $secTag $matTag $d $bf $tf $tw $nfdw $nftw $nfbf $nftf $Es; + + + +##################################### TRANSFORMATION DEFINITIONS ############################ +# http://opensees.berkeley.edu/wiki/index.php/Geometric_Transformation_Command + +#three transformation types can be chosen: Linear, PDelta, Corotational + +# transforamtion: geomTransf $type $transfTag; + +set transfTag 1; +# Switch between Linear & Corotational to observe 2nd-order effects +#geomTransf Linear $transfTag; +geomTransf Corotational $transfTag; + + +############################# ELEMENT PROPERTIES ########################################### + +#define beam element: dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $TransfTag; +#"numIntgrPts" is the number of integration points along the element; +#"TransfTag" is pre-defined coordinate-transformation; +#element choice is dispBeamColumnTemperature + +#dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $transfTag; + +element dispBeamColumnThermal 1 1 2 5 $secTag $transfTag; +element dispBeamColumnThermal 2 2 3 5 $secTag $transfTag; +element dispBeamColumnThermal 3 3 4 5 $secTag $transfTag; +element dispBeamColumnThermal 4 4 5 5 $secTag $transfTag; +element dispBeamColumnThermal 5 5 6 5 $secTag $transfTag; +element dispBeamColumnThermal 6 6 7 5 $secTag $transfTag; + + +############################# RECORDER OUTPUTS ############################################# + +recorder Node -file $dataDir/Midspan_Disp.out -time -node 4 -dof 2 disp; +recorder Node -file $dataDir/RXNs.out -time -node 1 7 -dof 2 reaction; + + + +############################# GRAVITY LOADS ################################################ + +pattern Plain 1 Linear { +#PK CREATE UNIFORM LOADS FOR BEAMS +set UDL -10; + +for {set level 1} {$level <= 6} {incr level 1} { + set eleID $level; + eleLoad -ele $eleID -type -beamUniform $UDL 0; + }} + + + + set NstepGravity 10; # apply gravity in 10 steps + set DGravity [expr 1.0/$NstepGravity]; # load increment + set Tol 1.0e-8; # convergence tolerance for test + + constraints Plain; # how it handles boundary conditions + numberer RCM; # renumber dof's to minimize band-width (optimization) + system UmfPack; # how to store and solve the system of equations in the analysis (large model: try UmfPack) + test NormDispIncr $Tol 100; # determine if convergence has been achieved at the end of an iteration step + algorithm Newton; # use Newton's solution algorithm: updates tangent stiffness at every iteration + integrator LoadControl $DGravity; # determine the next time step for an analysis + analysis Static; # define type of analysis: static or transient + analyze $NstepGravity; # apply gravity + + + + +puts "Loading Done. End Time: [getTime]" + + loadConst -time 0.0 + +############################# THERMAL LOADS ############################################### + +set T 1180; #Max Temp - DEG CELCIUS +set Y1 [expr $d/2]; #top fiber of beam +set Y2 [expr -$d/2]; #Bottom fiber of beam + + +pattern Plain 3 Linear { + + + for {set level 1} {$level <= 6} {incr level 1} { + set eleID $level + eleLoad -ele $eleID -type -beamThermal $T $Y2 $T $Y1; + } + } + + + set Nstep 1000; + set Factor [expr 1.0/$Nstep]; # first load increment; + + constraints Plain; # how it handles boundary conditions + numberer Plain; # renumber dof's to minimize band-width (optimization) + system UmfPack; + test NormDispIncr 1e-6 1000; + algorithm Newton; # use Newton's solution algorithm: updates tangent stiffness at every iteration + integrator LoadControl $Factor; # determine the next time step for an analysis + analysis Static; # define type of analysis static or transient + analyze $Nstep; # apply fire load + + + +puts "Fire Done. 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Univeristy - May 2019 +# Example: 2D frame with 2 bays: where beam and column are subjected to fire from one side +# Units: Newtons, m, seconds + + + +wipe all; +set dataDir Example5_OUTPUT; # name of output folder +file mkdir $dataDir; #create output folder + +model BasicBuilder -ndm 2 -ndf 3; #2D 3DOF + +source WsectionThermal.tcl; + + + + +############################## NODAL DEFINITIONS ########################################## +# http://opensees.berkeley.edu/wiki/index.php/Node_command + +node 1 0.000 0.000 ;#Column 1 #SUPPORT A +node 2 0.000 0.118 ;#Column 1 +node 3 0.000 0.236 ;#Column 1 +node 4 0.000 0.354 ;#Column 1 +node 5 0.000 0.472 ;#Column 1 +node 6 0.000 0.590 ;#Column 1 +node 7 0.000 0.708 ;#Column 1 +node 8 0.000 0.826 ;#Column 1 +node 9 0.000 0.944 ;#Column 1 +node 10 0.000 1.062 ;#Column 1 +node 11 0.000 1.180 ;#Column 1 #NODE U1 + +node 12 1.200 0.000 ; #Column 2 #SUPPORT B +node 13 1.200 0.118 ; #Column 2 +node 14 1.200 0.236 ; #Column 2 +node 15 1.200 0.354 ; #Column 2 +node 16 1.200 0.472 ; #Column 2 +node 17 1.200 0.59 ; #Column 2 +node 18 1.200 0.708 ; #Column 2 +node 19 1.200 0.826 ; #Column 2 +node 20 1.200 0.944 ; #Column 2 +node 21 1.200 1.062 ; #Column 2 +node 22 1.200 1.18 ; #Column 2 #NODE U2 + +node 23 2.400 0.000 ; #Column 3 #SUPPORT C +node 24 2.400 0.118 ; #Column 3 +node 25 2.400 0.236 ; #Column 3 +node 26 2.400 0.354 ; #Column 3 +node 27 2.400 0.472 ; #Column 3 +node 28 2.400 0.59 ; #Column 3 +node 29 2.400 0.708 ; #Column 3 +node 30 2.400 0.826 ; #Column 3 +node 31 2.400 0.944 ; #Column 3 +node 32 2.400 1.062 ; #Column 3 +node 33 2.400 1.18 ; #Column 3 + +node 34 0.120 1.180 ; #BEAM 1 +node 35 0.24 1.180 ; #BEAM 1 +node 36 0.36 1.180 ; #BEAM 1 +node 37 0.48 1.180 ; #BEAM 1 +node 38 0.6 1.180 ; #BEAM 1 +node 39 0.72 1.180 ; #BEAM 1 +node 40 0.84 1.180 ; #BEAM 1 +node 41 0.96 1.180 ; #BEAM 1 +node 42 1.08 1.180 ; #BEAM 1 + +node 43 1.32 1.180 ; #BEAM 2 +node 44 1.44 1.180 ; #BEAM 2 +node 45 1.56 1.180 ; #BEAM 2 +node 46 1.68 1.180 ; #BEAM 2 +node 47 1.8 1.180 ; #BEAM 2 +node 48 1.92 1.180 ; #BEAM 2 +node 49 2.04 1.180 ; #BEAM 2 +node 50 2.16 1.180 ; #BEAM 2 +node 51 2.28 1.180 ; #BEAM 2 + + +###################################### BOUNDRY CONDITIONS ######################################### +# http://opensees.berkeley.edu/wiki/index.php/Fix_command + +#fix nodetag dofx dofy dof moment about z [ 1 = fixed 0 = free ]; +fix 1 1 1 0; +fix 12 1 1 0; +fix 23 1 1 0; + + +############################# MATERIAL DEFINITIONS ######################################### + +set Es 210000000; #MPa # steel initial Young's modulus; +set Fy 355000; #MPa # steel initial yield strength; +set b 0.001; #0.1% # strain-hardening ratio; + +set matTag 1; +#define steel01 material: $matTag $yieldStress $E $rat +uniaxialMaterial Steel01Thermal $matTag $Fy $Es $b; + +set secTag 1; +set d 0.080; # depth +set bf 0.046; # flange width +set tf 0.0052; # flange thickness +set tw 0.0038; # web thickness +set nfdw 8; # number of fibers along dw +set nftw 1; # number of fibers along tw +set nfbf 1; # number of fibers along bf +set nftf 4; # number of fibers along tf + + +WsectionThermal $secTag $matTag $d $bf $tf $tw $nfdw $nftw $nfbf $nftf $Es + + + +##################################### TRANSFORMATION DEFINITIONS ############################ +# http://opensees.berkeley.edu/wiki/index.php/Geometric_Transformation_Command + +#three transformation types can be chosen: Linear, PDelta, Corotational + +set transfTag 1; +# transforamtion: geomTransf $type $TransfTag; +geomTransf Corotational $transfTag ; + +############################# ELEMENT PROPERTIES ########################################### + + +#define beam element: dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $TransfTag; +#"numIntgrPts" is the number of integration points along the element; +#"TransfTag" is pre-defined coordinate-transformation; +#element choice is dispBeamColumnTemperature + +#dispBeamColumnThermal $eleTag $iNode $jNode $numIntgrPts $secTag $transfTag; + +element dispBeamColumnThermal 1 1 2 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 2 2 3 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 3 3 4 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 4 4 5 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 5 5 6 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 6 6 7 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 7 7 8 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 8 8 9 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 9 9 10 3 $secTag $transfTag; #COLUMN 1 +element dispBeamColumnThermal 10 10 11 3 $secTag $transfTag; #COLUMN 1 + +element dispBeamColumnThermal 11 12 13 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 12 13 14 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 13 14 15 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 14 15 16 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 15 16 17 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 16 17 18 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 17 18 19 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 18 19 20 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 19 20 21 3 $secTag $transfTag; #COLUMN 2 +element dispBeamColumnThermal 20 21 22 3 $secTag $transfTag; #COLUMN 2 + +element dispBeamColumnThermal 21 23 24 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 22 24 25 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 23 25 26 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 24 26 27 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 25 27 28 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 26 28 29 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 27 29 30 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 28 30 31 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 29 31 32 3 $secTag $transfTag; #COLUMN 3 +element dispBeamColumnThermal 30 32 33 3 $secTag $transfTag; #COLUMN 3 + +element dispBeamColumnThermal 31 11 34 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 32 34 35 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 33 35 36 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 34 36 37 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 35 37 38 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 36 38 39 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 37 39 40 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 38 40 41 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 39 41 42 3 $secTag $transfTag; #BEAM 1 +element dispBeamColumnThermal 40 42 22 3 $secTag $transfTag; #BEAM 1 + +element dispBeamColumnThermal 41 22 43 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 42 43 44 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 43 44 45 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 44 45 46 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 45 46 47 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 46 47 48 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 47 48 49 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 48 49 50 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 49 50 51 3 $secTag $transfTag; #BEAM 2 +element dispBeamColumnThermal 50 51 33 3 $secTag $transfTag; #BEAM 2 + + + +############################################## OUTPUTS ###################################################################### + +recorder Node -file $dataDir/U1.out -time -node 11 -dof 1 disp; # displacements of node U1 DOF 1 +recorder Node -file $dataDir/U2.out -time -node 22 -dof 1 disp; # displacements of node U2 DOF 1 +recorder Node -file $dataDir/RXNS.out -time -node 1 12 23 -dof 2 3 reaction; #support RXNS + + + + + +############################################## GRAVITY LOADING ############################################################## + + +#GRAVITY LOADS +pattern Plain 1 Linear { +load 4 0. -74.0 0.; +load 22 0. -74.0 0.; +load 33 2.85 -74.0 0.; +for {set i 31} {$i <= 50} {incr i} { + eleLoad -ele $i -type -beamUniform -0.060 0. 0.; +} +}; + +set Nstep 100; +set Factor [expr 1.0/$Nstep]; + +# GRAVITY LOAD ANALYSIS +constraints Plain; +numberer Plain; +system BandGeneral; +test NormDispIncr 1e-12 500 ; +algorithm Newton; +integrator LoadControl $Factor +analysis Static; +analyze $Nstep; +loadConst -time 0.0 + +puts "Loads - Done!" + +############################## THERMAL LOADING ################################### + +set T 550; #Max Temp - DEG CELCIUS +set Y2 [expr -$d/2]; #top fiber of beam +set Y1 [expr $d/2]; #Bottom fiber of beam + + +pattern Plain 2 Linear { + for {set i 1} {$i <= 20} {incr i} { eleLoad -ele $i -type -beamThermal $T $Y2 $T $Y1; } + for {set i 31} {$i <= 40} {incr i} { eleLoad -ele $i -type -beamThermal $T $Y2 $T $Y1; } +}; + + set Nstep 1000; + set Factor [expr 1.0/$Nstep]; # first load increment; + + constraints Plain; # how it handles boundary conditions + numberer Plain; # renumber dof's to minimize band-width (optimization) + system UmfPack; + test NormDispIncr 1e-6 1000; + algorithm Newton; # use Newton's solution algorithm: updates tangent stiffness at every iteration + integrator LoadControl $Factor; # determine the next time step for an analysis + analysis Static; # define type of analysis static or transient + analyze $Nstep; # apply fire load + +puts "Fire - Done!" + +wipe; + diff --git a/examples/thermalexamples/thermalexample3/files/Example5_OUTPUT.zip b/examples/thermalexamples/thermalexample3/files/Example5_OUTPUT.zip new file mode 100644 index 0000000000000000000000000000000000000000..3aa06ed9d5a65540384c480564c48c85894244cf GIT binary patch literal 34342 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