{"id":5844,"date":"2024-04-15T02:19:41","date_gmt":"2024-04-15T02:19:41","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5844"},"modified":"2024-04-15T02:19:41","modified_gmt":"2024-04-15T02:19:41","slug":"for-stairs-spanning-l-meters-longitudinally-between-supports-at-the-bottom-and-top-of-a-flight-carrying-a-load-w-per-unit-horizontal-area-the-maximum-bending-moment-per-metre-width-is-a-fra","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/for-stairs-spanning-l-meters-longitudinally-between-supports-at-the-bottom-and-top-of-a-flight-carrying-a-load-w-per-unit-horizontal-area-the-maximum-bending-moment-per-metre-width-is-a-fra\/","title":{"rendered":"For stairs spanning $$l$$ meters longitudinally between supports at the bottom and top of a flight carrying a load w per unit horizontal area, the maximum bending moment per metre width, is A. $$\\frac{{{\\text{w}}{l^2}}}{4}$$ B. $$\\frac{{{\\text{w}}{l^2}}}{8}$$ C. $$\\frac{{{\\text{w}}{l^2}}}{{10}}$$ D. $$\\frac{{{\\text{w}}{l^2}}}{{12}}$$ E. $$\\frac{{{\\text{w}}{l^2}}}{{16}}$$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{{\\text{w}}{l^2}}}{4}$$&#8221; option2=&#8221;$$\\frac{{{\\text{w}}{l^2}}}{8}$$&#8221; option3=&#8221;$$\\frac{{{\\text{w}}{l^2}}}{{10}}$$&#8221; option4=&#8221;$$\\frac{{{\\text{w}}{l^2}}}{{12}}$$ E. $$\\frac{{{\\text{w}}{l^2}}}{{16}}$$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\frac{{{\\text{w}}{l^2}}}{8}$.<\/p>\n<p>The maximum bending moment per metre width is given by the following equation:<\/p>\n<p>$$M = \\frac{{w}{l^2}}{8}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$M$ is the maximum bending moment per metre width<\/li>\n<li>$w$ is the load per unit horizontal area<\/li>\n<li>$l$ is the span length<\/li>\n<\/ul>\n<p>The equation can be derived by considering the following diagram:<\/p>\n<p>[Diagram of a stair with a load applied at the center]<\/p>\n<p>The force of the load is applied at a distance of $\\frac{l}{2}$ from the support, so the bending moment is given by:<\/p>\n<p>$$M = w \\times \\frac{l}{2} \\times \\frac{l}{2} = \\frac{{w}{l^2}}{8}$$<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{{\\text{w}}{l^2}}}{4}$$&#8221; option2=&#8221;$$\\frac{{{\\text{w}}{l^2}}}{8}$$&#8221; option3=&#8221;$$\\frac{{{\\text{w}}{l^2}}}{{10}}$$&#8221; option4=&#8221;$$\\frac{{{\\text{w}}{l^2}}}{{12}}$$ E. $$\\frac{{{\\text{w}}{l^2}}}{{16}}$$&#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":[640],"tags":[],"class_list":["post-5844","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>For stairs spanning $$l$$ meters longitudinally between supports at the bottom and top of a flight carrying a load w per unit horizontal area, the maximum bending moment per metre width, is A. $$\\frac{{{\\text{w}}{l^2}}}{4}$$ B. $$\\frac{{{\\text{w}}{l^2}}}{8}$$ C. $$\\frac{{{\\text{w}}{l^2}}}{{10}}$$ D. $$\\frac{{{\\text{w}}{l^2}}}{{12}}$$ E. $$\\frac{{{\\text{w}}{l^2}}}{{16}}$$<\/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\/for-stairs-spanning-l-meters-longitudinally-between-supports-at-the-bottom-and-top-of-a-flight-carrying-a-load-w-per-unit-horizontal-area-the-maximum-bending-moment-per-metre-width-is-a-fra\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"For stairs spanning $$l$$ meters longitudinally between supports at the bottom and top of a flight carrying a load w per unit horizontal area, the maximum bending moment per metre width, is A. $$\\frac{{{\\text{w}}{l^2}}}{4}$$ B. $$\\frac{{{\\text{w}}{l^2}}}{8}$$ C. $$\\frac{{{\\text{w}}{l^2}}}{{10}}$$ D. $$\\frac{{{\\text{w}}{l^2}}}{{12}}$$ E. $$\\frac{{{\\text{w}}{l^2}}}{{16}}$$\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{{{text{w}}{l^2}}}{4}$$&#8221; option2=&#8221;$$frac{{{text{w}}{l^2}}}{8}$$&#8221; option3=&#8221;$$frac{{{text{w}}{l^2}}}{{10}}$$&#8221; option4=&#8221;$$frac{{{text{w}}{l^2}}}{{12}}$$ E. $$frac{{{text{w}}{l^2}}}{{16}}$$&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/for-stairs-spanning-l-meters-longitudinally-between-supports-at-the-bottom-and-top-of-a-flight-carrying-a-load-w-per-unit-horizontal-area-the-maximum-bending-moment-per-metre-width-is-a-fra\/\" \/>\n<meta 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