{"id":156872,"date":"2023-09-02T15:44:43","date_gmt":"2023-09-02T10:14:43","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156872"},"modified":"2023-09-02T15:44:46","modified_gmt":"2023-09-02T10:14:46","slug":"a-horizontal-cantilever-beam-of-circular-cross-section-length-1-0-m-and-flexural-rigidity-ei-200-n%c2%b7m2-is-subjected-to-an-applied-moment","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-horizontal-cantilever-beam-of-circular-cross-section-length-1-0-m-and-flexural-rigidity-ei-200-n%c2%b7m2-is-subjected-to-an-applied-moment\/","title":{"rendered":"A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity EI = 200 N\u00b7m2 is subjected to an applied moment"},"content":{"rendered":"\n<p>Q. A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity <em>EI <\/em>= 200 N\u00b7m<sup>2<\/sup> is subjected to an applied moment <em>MA <\/em>= 1.0 N\u00b7m at the free end as shown in the figure. The magnitude of the vertical deflection of the free end is____mm<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/image-8.png\" alt=\"\" class=\"wp-image-156874\" style=\"width:347px;height:102px\" width=\"347\" height=\"102\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/image-8.png 511w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/image-8-300x88.png 300w\" sizes=\"(max-width: 347px) 100vw, 347px\" \/><\/figure>\n\n\n\n<p>Ans: 2.4 &#8211; 2.6<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Given A horizontal cantilever beam of circular cross \u2013 section with length (L) = 1.0 m &amp; EI (Flexural rigidity) = 200 N.m2. Moment applied MA = 1.0 N.m To find \u03b4 in (mm) at end<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"287\" height=\"40\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-721.png\" alt=\"\" class=\"wp-image-156875\"\/><\/figure>\n\n\n\n<p>\u21d2 \u03b4 = 2.5 \u00d7 10-3 m = 2.5 mm.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity EI = 200 N\u00b7m2 is subjected to an applied moment MA = 1.0 N\u00b7m at the free end as shown in the figure. The magnitude of the vertical deflection of the free end is____mm Ans: 2.4 &#8211; 2.6 Sol: Given A [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156876,"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-156872","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\/156872","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=156872"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156872\/revisions"}],"predecessor-version":[{"id":156877,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156872\/revisions\/156877"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156876"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156872"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156872"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156872"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}