{"id":188387,"date":"2025-02-06T19:51:34","date_gmt":"2025-02-06T19:51:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=188387"},"modified":"2025-02-06T19:51:35","modified_gmt":"2025-02-06T19:51:35","slug":"part-a-draw-the-shear-diagram-for-the-beam","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/06\/part-a-draw-the-shear-diagram-for-the-beam\/","title":{"rendered":"Part A Draw the shear diagram for the beam"},"content":{"rendered":"\n

Part A Draw the shear diagram for the beam. Follow the sign convention. Part B Draw the moment diagram for the beam. Follow the sign convention.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

o analyze the shear and moment diagrams for a simply supported beam subjected to a central point load, we can follow these steps:
Part A: Shear Force Diagram (SFD)<\/strong><\/p>\n\n\n\n

    \n
  1. Determine Reactions at Supports:<\/strong> – or a simply supported beam with a central point load ( P ) applied at the midpoint, the reactions at both supports are equal and can be calculated as: [ R_A = R_B = \\frac{P}{2} ] his is because the load is symmetrically placed, and the beam is in static equilibrium.<\/li>\n\n\n\n
  2. Construct the Shear Force Diagram:<\/strong> – he shear force is constant between the supports and equal to the reaction forces. – t the left support (A), the shear force is ( +\\frac{P}{2} ). – t the right support (B), the shear force is ( -\\frac{P}{2} ). – he shear force diagram is a horizontal line at ( +\\frac{P}{2} ) from A to the midpoint, and then a drop to ( -\\frac{P}{2} ) from the midpoint to B.
    Part B: Bending Moment Diagram (BMD)<\/strong><\/li>\n\n\n\n
  3. Calculate Bending Moments at Key Points:<\/strong> – t the supports (A and B), the bending moment is zero because there is no moment arm. – t the midpoint (C), the bending moment is maximum and can be calculated as: [ M_C = R_A \\times \\frac{L}{2} = \\frac{P}{2} \\times \\frac{L}{2} = \\frac{P \\times L}{4} ] here ( L ) is the length of the beam.<\/li>\n\n\n\n
  4. Construct the Bending Moment Diagram:<\/strong> – he bending moment increases linearly from A to C, reaching a maximum of ( \\frac{P \\times L}{4} ) at C. – t then decreases linearly from C to B, returning to zero at B. – he BMD is a triangle with a peak at the midpoint.
    Sign Conventions:<\/strong><\/li>\n<\/ol>\n\n\n\n
      \n
    • Shear Force:<\/em>* Positive when the left side of the section is pushed upward.- Bending Moment:<\/em>* Positive when the moment causes compression at the top of the beam.
      or a visual demonstration of constructing shear and moment diagrams for a simply supported beam with a central point load, you can refer to the following video:
      \ue200video\ue202SIMPLY SUPPORTED BEAM WITH POINT LOAD AT CENTRE SHEAR FORCE AND BENDING MOMENT DIAGRAM\ue202turn0search0\ue201<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

      Part A Draw the shear diagram for the beam. Follow the sign convention. Part B Draw the moment diagram for the beam. Follow the sign convention. The Correct Answer and Explanation is : o analyze the shear and moment diagrams for a simply supported beam subjected to a central point load, we can follow these […]<\/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-188387","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/188387","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=188387"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/188387\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=188387"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=188387"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=188387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}