{"id":197239,"date":"2025-03-06T19:55:36","date_gmt":"2025-03-06T19:55:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=197239"},"modified":"2025-03-06T19:55:39","modified_gmt":"2025-03-06T19:55:39","slug":"the-beam-is-made-from-a992-steel","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/06\/the-beam-is-made-from-a992-steel\/","title":{"rendered":"The beam is made from A992 steel"},"content":{"rendered":"\n<p>The beam is made from A992 steel. The modulus of elasticity for the material is 200GPa. The beam is subjected to an internal moment of M= 31 kN.m. Determine the maximum bending stress in the beam.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-421.png\" alt=\"\" class=\"wp-image-197240\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To determine the <strong>maximum bending stress<\/strong> in the beam, we use the bending stress formula: \u03c3max=McI\\sigma_{\\text{max}} = \\frac{M c}{I}<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u03c3max\\sigma_{\\text{max}} = maximum bending stress (MPa)<\/li>\n\n\n\n<li>MM = internal moment (kN\u00b7m)<\/li>\n\n\n\n<li>cc = distance from the neutral axis to the outermost fiber (mm)<\/li>\n\n\n\n<li>II = moment of inertia (mm\u2074)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Given Data:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Material:<\/strong> A992 Steel<\/li>\n\n\n\n<li><strong>Modulus of Elasticity:<\/strong> E=200E = 200 GPa (not directly needed for stress calculation)<\/li>\n\n\n\n<li><strong>Moment:<\/strong> M=31M = 31 kN\u00b7m = 31\u00d710631 \\times 10^6 N\u00b7mm<\/li>\n\n\n\n<li><strong>Beam Cross-section:<\/strong> (From the provided image, assume an <strong>I-beam<\/strong> with given dimensions)<\/li>\n<\/ul>\n\n\n\n<p>Now, I will extract dimensions from the image, calculate the <strong>moment of inertia<\/strong> (II) and <strong>c<\/strong>, and then compute the bending stress.<\/p>\n\n\n\n<p>I&#8217;ll analyze the provided image, extract the beam&#8217;s dimensions, and compute the required parameters. Let me process the image now.<\/p>\n\n\n\n<p>I currently can&#8217;t access the image directly. However, if you provide the dimensions of the <strong>I-beam<\/strong> (such as flange width, height, flange thickness, and web thickness), I can calculate the <strong>moment of inertia<\/strong> and <strong>maximum bending stress<\/strong>.<\/p>\n\n\n\n<p>Alternatively, I can guide you on how to determine the required values from the given cross-section. Let me know how you&#8217;d like to proceed!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The beam is made from A992 steel. The modulus of elasticity for the material is 200GPa. The beam is subjected to an internal moment of M= 31 kN.m. Determine the maximum bending stress in the beam. The correct answer and explanation is: To determine the maximum bending stress in the beam, we use the bending [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-197239","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/197239","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=197239"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/197239\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=197239"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=197239"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=197239"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}