{"id":156548,"date":"2023-08-31T14:51:02","date_gmt":"2023-08-31T09:21:02","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156548"},"modified":"2023-08-31T14:51:04","modified_gmt":"2023-08-31T09:21:04","slug":"consider-an-elastic-straight-beam-of-length-%f0%9d%90%bf-10-%f0%9d%9c%8b-m-with-square-cross-section-of-side-a-5-mm-and-youngs-modulus-e-200-gpa","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/consider-an-elastic-straight-beam-of-length-%f0%9d%90%bf-10-%f0%9d%9c%8b-m-with-square-cross-section-of-side-a-5-mm-and-youngs-modulus-e-200-gpa\/","title":{"rendered":"Consider an elastic straight beam of length \ud835\udc3f = 10 \ud835\udf0b m with square cross-section of side a = 5 mm and Young\u2019s modulus E = 200 GPa"},"content":{"rendered":"\n<p>Q. Consider an elastic straight beam of length \ud835\udc3f = 10 \ud835\udf0b m, with square cross-section of side <em>a <\/em>= 5 mm, and Young\u2019s modulus <em>E <\/em>= 200 GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius <em>R<\/em>. Assuming that Euler-Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is_____MPa.<\/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\/08\/Screenshot-670.png\" alt=\"\" class=\"wp-image-156549\" style=\"width:594px;height:205px\" width=\"594\" height=\"205\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-670.png 640w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-670-300x104.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/figure>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>By bending equation,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"208\" height=\"163\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-671.png\" alt=\"\" class=\"wp-image-156550\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. Consider an elastic straight beam of length \ud835\udc3f = 10 \ud835\udf0b m, with square cross-section of side a = 5 mm, and Young\u2019s modulus E = 200 GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler-Bernoulli beam [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156551,"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-156548","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\/156548","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=156548"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156548\/revisions"}],"predecessor-version":[{"id":156552,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156548\/revisions\/156552"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156551"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156548"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156548"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}