{"id":5771,"date":"2024-04-15T02:18:33","date_gmt":"2024-04-15T02:18:33","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5771"},"modified":"2024-04-15T02:18:33","modified_gmt":"2024-04-15T02:18:33","slug":"a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/","title":{"rendered":"A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is A. $${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} &#8211; \\frac{{\\text{n}}}{3}} \\right)$$ B. $${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} &#8211; \\frac{{\\text{n}}}{3}} \\right)$$ C. $$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 &#8211; \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$ D. All the above"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} &#8211; \\frac{{\\text{n}}}{3}} \\right)$$&#8221; option2=&#8221;$${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} &#8211; \\frac{{\\text{n}}}{3}} \\right)$$&#8221; option3=&#8221;$$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 &#8211; \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is D. All the above.<\/p>\n<p>The moment to resistance of a singly reinforced beam is given by the following equation:<\/p>\n<p>$$M_r = \\frac{1}{2}b d f_c \\left(d &#8211; \\frac{n}{3}\\right) + A_t f_t \\left(d &#8211; \\frac{n}{3}\\right)$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$b$ is the breadth of the beam<\/li>\n<li>$d$ is the effective depth of the beam<\/li>\n<li>$f_c$ is the permissible compressive stress<\/li>\n<li>$f_t$ is the permissible tensile stress<\/li>\n<li>$A_t$ is the area of tension reinforcement<\/li>\n<li>$n$ is the depth of the neutral axis<\/li>\n<\/ul>\n<p>The first term in the equation, $\\frac{1}{2}b d f_c \\left(d &#8211; \\frac{n}{3}\\right)$, represents the contribution of the concrete to the moment to resistance. The second term, $A_t f_t \\left(d &#8211; \\frac{n}{3}\\right)$, represents the contribution of the tension reinforcement to the moment to resistance.<\/p>\n<p>The depth of the neutral axis is a function of the beam&#8217;s geometry and the material properties of the concrete and steel. The critical neutral axis is the depth of the neutral axis at which the beam will fail in tension.<\/p>\n<p>The moment to resistance of a singly reinforced beam is the maximum moment that the beam can resist without failing.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} &#8211; \\frac{{\\text{n}}}{3}} \\right)$$&#8221; option2=&#8221;$${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} &#8211; \\frac{{\\text{n}}}{3}} \\right)$$&#8221; option3=&#8221;$$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 &#8211; \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#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-5771","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>A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is A. $${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ B. $${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ C. $$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 - \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$ D. All the above<\/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\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is A. $${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ B. $${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ C. $$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 - \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$ D. All the above\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$${text{bn}}frac{{{{text{f}}_{text{c}}}}}{2}left( {{text{d}} &#8211; frac{{text{n}}}{3}} right)$$&#8221; option2=&#8221;$${text{At}}{{text{f}}_{text{t}}}left( {{text{d}} &#8211; frac{{text{n}}}{3}} right)$$&#8221; option3=&#8221;$$frac{1}{2}{{text{n}}_1}left( {1 &#8211; frac{{{{text{n}}_1}}}{3}} right){text{cb}}{{text{d}}^2}$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:18:33+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":"A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is A. $${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ B. $${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ C. $$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 - \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$ D. All the above","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\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/","og_locale":"en_US","og_type":"article","og_title":"A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is A. $${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ B. $${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ C. $$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 - \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$ D. All the above","og_description":"[amp_mcq option1=&#8221;$${text{bn}}frac{{{{text{f}}_{text{c}}}}}{2}left( {{text{d}} &#8211; frac{{text{n}}}{3}} right)$$&#8221; option2=&#8221;$${text{At}}{{text{f}}_{text{t}}}left( {{text{d}} &#8211; frac{{text{n}}}{3}} right)$$&#8221; option3=&#8221;$$frac{1}{2}{{text{n}}_1}left( {1 &#8211; frac{{{{text{n}}_1}}}{3}} right){text{cb}}{{text{d}}^2}$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:18:33+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\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/","name":"A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is A. $${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ B. $${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} - \\frac{{\\text{n}}}{3}} \\right)$$ C. $$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 - \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$ D. All the above","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:18:33+00:00","dateModified":"2024-04-15T02:18:33+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-beam-has-breadth-b-effective-depth-d-depth-of-neutral-axis-n-and-critical-neutral-axis-n1-if-fc-and-ft-are-permissible-compressive-and-tensile-stresses-the-moment-to-resistance\/#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":"A singly reinforced beam has breadth b, effective depth d, depth of neutral axis n and critical neutral axis n1. If fc and ft are permissible compressive and tensile stresses, the moment to resistance of the beam, is A. $${\\text{bn}}\\frac{{{{\\text{f}}_{\\text{c}}}}}{2}\\left( {{\\text{d}} &#8211; \\frac{{\\text{n}}}{3}} \\right)$$ B. $${\\text{At}}{{\\text{f}}_{\\text{t}}}\\left( {{\\text{d}} &#8211; \\frac{{\\text{n}}}{3}} \\right)$$ C. $$\\frac{1}{2}{{\\text{n}}_1}\\left( {1 &#8211; \\frac{{{{\\text{n}}_1}}}{3}} \\right){\\text{cb}}{{\\text{d}}^2}$$ D. All the above"}]},{"@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\/5771","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=5771"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5771\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=5771"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=5771"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=5771"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}