{"id":153568,"date":"2023-07-29T15:00:48","date_gmt":"2023-07-29T09:30:48","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153568"},"modified":"2023-07-29T15:00:53","modified_gmt":"2023-07-29T09:30:53","slug":"a-portal-frame-shown-in-figure-not-drawn-to-scale-has-a-hinge-support-at-joint-p-and-a-roller-support-at-joint-r-a-point-load-of-50-kn-is-acting-at-joint-r-in-the-horizontal-direction","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-portal-frame-shown-in-figure-not-drawn-to-scale-has-a-hinge-support-at-joint-p-and-a-roller-support-at-joint-r-a-point-load-of-50-kn-is-acting-at-joint-r-in-the-horizontal-direction\/","title":{"rendered":"A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of 50 kN is acting at joint R in the horizontal direction"},"content":{"rendered":"\n<p>Q. A portal frame shown in figure (<em>not drawn to scale<\/em>) has a hinge support at joint P and a roller support at joint R. A point load of 50 <em>kN <\/em>is acting at joint R in the horizontal direction. The flexural rigidity, <em>EI<\/em>, of each member is 10<sup>6<\/sup> <em>kNm<sup>2<\/sup><\/em>. Under the applied load, the horizontal displacement (in <em>mm<\/em>, <em>round off to 1 decimal place<\/em>) of joint R would be <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"365\" height=\"333\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-424.png\" alt=\"\" class=\"wp-image-153569\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-424.png 365w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-424-300x274.png 300w\" sizes=\"(max-width: 365px) 100vw, 365px\" \/><\/figure>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"409\" height=\"510\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-425-1.png\" alt=\"\" class=\"wp-image-153571\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-425-1.png 409w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-425-1-241x300.png 241w\" sizes=\"(max-width: 409px) 100vw, 409px\" \/><\/figure>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of 50 kN is acting at joint R in the horizontal direction. The flexural rigidity, EI, of each member is 106 kNm2. Under the applied load, the [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":153572,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-153568","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153568","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153568"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153568\/revisions"}],"predecessor-version":[{"id":153573,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153568\/revisions\/153573"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153572"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153568"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}