{"id":5707,"date":"2024-04-15T02:17:35","date_gmt":"2024-04-15T02:17:35","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5707"},"modified":"2024-04-15T02:17:35","modified_gmt":"2024-04-15T02:17:35","slug":"an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/","title":{"rendered":"An R.C.C. beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.D.L. of 12 t per m and allowable shear stress is 5 kg\/cm2, the beam A. Is safe in shear B. Is safe with stirrups C. Is safe with stirrups and inclined bars D. Needs revision of section"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Is safe in shear&#8221; option2=&#8221;Is safe with stirrups&#8221; option3=&#8221;beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.&#8221; option4=&#8221;Needs revision of section&#8221; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>B. Is safe with stirrups<\/strong><\/p>\n<p>The shear force at the critical section is $V = 12 \\times 0.6 = 7.2$ kN. The shear stress is therefore $\\tau = \\frac{V}{bd} = \\frac{7.2}{0.3 \\times 0.55} = 3.4$ kg\/cm$^2$. This is greater than the allowable shear stress of 5 kg\/cm$^2$, so the beam is not safe in shear without stirrups.<\/p>\n<p>Stirrups are steel bars that are placed perpendicular to the main reinforcement in a beam. They help to resist shear forces by providing a mechanism for the concrete to transfer the shear stress to the main reinforcement.<\/p>\n<p>If stirrups are added, the shear stress in the beam will be reduced. The new shear stress can be calculated using the following equation:<\/p>\n<p>$$\\tau = \\frac{V}{bd} + \\frac{As_v f_y}{s}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$V$ is the shear force at the critical section<\/li>\n<li>$b$ is the width of the beam<\/li>\n<li>$d$ is the effective depth of the beam<\/li>\n<li>$As_v$ is the area of the stirrups<\/li>\n<li>$f_y$ is the yield stress of the stirrups<\/li>\n<li>$s$ is the spacing of the stirrups<\/li>\n<\/ul>\n<p>In this case, the new shear stress is:<\/p>\n<p>$$\\tau = \\frac{7.2}{0.3 \\times 0.55} + \\frac{0.005 \\times 400}{0.1} = 2.75$$<\/p>\n<p>This is less than the allowable shear stress of 5 kg\/cm$^2$, so the beam is safe in shear with stirrups.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Is safe in shear&#8221; option2=&#8221;Is safe with stirrups&#8221; option3=&#8221;beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.&#8221; option4=&#8221;Needs revision of section&#8221; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[640],"tags":[],"class_list":["post-5707","post","type-post","status-publish","format-standard","hentry","category-rcc-structures-design","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>An R.C.C. beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.D.L. of 12 t per m and allowable shear stress is 5 kg\/cm2, the beam A. Is safe in shear B. Is safe with stirrups C. Is safe with stirrups and inclined bars D. Needs revision of section<\/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\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"An R.C.C. beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.D.L. of 12 t per m and allowable shear stress is 5 kg\/cm2, the beam A. Is safe in shear B. Is safe with stirrups C. Is safe with stirrups and inclined bars D. Needs revision of section\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;Is safe in shear&#8221; option2=&#8221;Is safe with stirrups&#8221; option3=&#8221;beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.&#8221; option4=&#8221;Needs revision of section&#8221; correct=&#8221;option2&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:17:35+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":"An R.C.C. beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.D.L. of 12 t per m and allowable shear stress is 5 kg\/cm2, the beam A. Is safe in shear B. Is safe with stirrups C. Is safe with stirrups and inclined bars D. Needs revision of section","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\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/","og_locale":"en_US","og_type":"article","og_title":"An R.C.C. beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.D.L. of 12 t per m and allowable shear stress is 5 kg\/cm2, the beam A. Is safe in shear B. Is safe with stirrups C. Is safe with stirrups and inclined bars D. Needs revision of section","og_description":"[amp_mcq option1=&#8221;Is safe in shear&#8221; option2=&#8221;Is safe with stirrups&#8221; option3=&#8221;beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.&#8221; option4=&#8221;Needs revision of section&#8221; correct=&#8221;option2&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:17:35+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\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/","url":"https:\/\/exam.pscnotes.com\/mcq\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/","name":"An R.C.C. beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.D.L. of 12 t per m and allowable shear stress is 5 kg\/cm2, the beam A. Is safe in shear B. Is safe with stirrups C. Is safe with stirrups and inclined bars D. Needs revision of section","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:17:35+00:00","dateModified":"2024-04-15T02:17:35+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/an-r-c-c-beam-of-6-m-span-is-30-cm-wide-and-has-a-lever-arm-of-55-cm-if-it-carries-a-u-d-l-of-12-t-per-m-and-allowable-shear-stress-is-5-kg-cm2-the-beam-a-is-safe-in-shear-b-is-safe-with-stirrup\/#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":"Rcc structures design","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/rcc-structures-design\/"},{"@type":"ListItem","position":5,"name":"An R.C.C. beam of 6 m span is 30 cm wide and has a lever arm of 55 cm. If it carries a U.D.L. of 12 t per m and allowable shear stress is 5 kg\/cm2, the beam A. Is safe in shear B. Is safe with stirrups C. Is safe with stirrups and inclined bars D. Needs revision of section"}]},{"@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\/5707","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=5707"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5707\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=5707"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=5707"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=5707"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}