{"id":5687,"date":"2024-04-15T02:17:17","date_gmt":"2024-04-15T02:17:17","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5687"},"modified":"2024-04-15T02:17:17","modified_gmt":"2024-04-15T02:17:17","slug":"in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/","title":{"rendered":"In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is A. $$\\frac{{\\text{L}}}{2}$$ B. $$\\frac{{\\text{L}}}{3}$$ C. $$\\frac{{\\text{L}}}{4}$$ D. $$\\frac{{\\text{L}}}{5}$$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{\\text{L}}}{2}$$&#8221; option2=&#8221;$$\\frac{{\\text{L}}}{3}$$&#8221; option3=&#8221;$$\\frac{{\\text{L}}}{4}$$&#8221; option4=&#8221;$$\\frac{{\\text{L}}}{5}$$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\frac{{\\text{L}}}{2}}$.<\/p>\n<p>A plastic hinge is a region in a structure where the material has yielded and is undergoing plastic deformation. In a simply supported rectangular beam of span $L$ and loaded with a central load $W$, the plastic hinge will form at the point of maximum bending moment, which is at the center of the beam. The length of the plastic hinge is equal to the distance from the center of the beam to the point where the bending moment becomes zero. This distance is equal to $\\frac{{\\text{L}}}{2}$.<\/p>\n<p>Option A is incorrect because it is the length of the beam. Option B is incorrect because it is the length of the beam divided by three. Option C is incorrect because it is the length of the beam divided by four. Option D is incorrect because it is the length of the beam divided by five.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{\\text{L}}}{2}$$&#8221; option2=&#8221;$$\\frac{{\\text{L}}}{3}$$&#8221; option3=&#8221;$$\\frac{{\\text{L}}}{4}$$&#8221; option4=&#8221;$$\\frac{{\\text{L}}}{5}$$&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[639],"tags":[],"class_list":["post-5687","post","type-post","status-publish","format-standard","hentry","category-theory-of-structures","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is A. $$\\frac{{\\text{L}}}{2}$$ B. $$\\frac{{\\text{L}}}{3}$$ C. $$\\frac{{\\text{L}}}{4}$$ D. $$\\frac{{\\text{L}}}{5}$$<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is A. $$\\frac{{\\text{L}}}{2}$$ B. $$\\frac{{\\text{L}}}{3}$$ C. $$\\frac{{\\text{L}}}{4}$$ D. $$\\frac{{\\text{L}}}{5}$$\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{{text{L}}}{2}$$&#8221; option2=&#8221;$$frac{{text{L}}}{3}$$&#8221; option3=&#8221;$$frac{{text{L}}}{4}$$&#8221; option4=&#8221;$$frac{{text{L}}}{5}$$&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:17:17+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is A. $$\\frac{{\\text{L}}}{2}$$ B. $$\\frac{{\\text{L}}}{3}$$ C. $$\\frac{{\\text{L}}}{4}$$ D. $$\\frac{{\\text{L}}}{5}$$","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/","og_locale":"en_US","og_type":"article","og_title":"In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is A. $$\\frac{{\\text{L}}}{2}$$ B. $$\\frac{{\\text{L}}}{3}$$ C. $$\\frac{{\\text{L}}}{4}$$ D. $$\\frac{{\\text{L}}}{5}$$","og_description":"[amp_mcq option1=&#8221;$$frac{{text{L}}}{2}$$&#8221; option2=&#8221;$$frac{{text{L}}}{3}$$&#8221; option3=&#8221;$$frac{{text{L}}}{4}$$&#8221; option4=&#8221;$$frac{{text{L}}}{5}$$&#8221; correct=&#8221;option1&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:17:17+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/","url":"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/","name":"In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is A. $$\\frac{{\\text{L}}}{2}$$ B. $$\\frac{{\\text{L}}}{3}$$ C. $$\\frac{{\\text{L}}}{4}$$ D. $$\\frac{{\\text{L}}}{5}$$","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:17:17+00:00","dateModified":"2024-04-15T02:17:17+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-a-simply-supported-rectangular-beam-of-span-l-and-loaded-with-a-central-load-w-the-length-of-elasto-plastic-zone-of-the-plastic-hinge-is-a-fractextl2-b-fractext\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Theory of structures","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/theory-of-structures\/"},{"@type":"ListItem","position":5,"name":"In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is A. $$\\frac{{\\text{L}}}{2}$$ B. $$\\frac{{\\text{L}}}{3}$$ C. $$\\frac{{\\text{L}}}{4}$$ D. $$\\frac{{\\text{L}}}{5}$$"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5687","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=5687"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5687\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=5687"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=5687"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=5687"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}