{"id":5841,"date":"2024-04-15T02:19:38","date_gmt":"2024-04-15T02:19:38","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5841"},"modified":"2024-04-15T02:19:38","modified_gmt":"2024-04-15T02:19:38","slug":"if-the-maximum-bending-moment-of-a-simply-supported-slab-is-m-kg-cm-the-effective-depth-of-the-slab-is-where-q-is-m-r-factor-a-fractextm100textq-b-fractextm","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-maximum-bending-moment-of-a-simply-supported-slab-is-m-kg-cm-the-effective-depth-of-the-slab-is-where-q-is-m-r-factor-a-fractextm100textq-b-fractextm\/","title":{"rendered":"If the maximum bending moment of a simply supported slab is M Kg.cm, the effective depth of the slab is (where Q is M.R. factor) A. $$\\frac{{\\text{M}}}{{100{\\text{Q}}}}$$ B. $$\\frac{{\\text{M}}}{{10\\sqrt {\\text{Q}} }}$$ C. $$\\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}} $$ D. $$\\sqrt {\\frac{{\\text{M}}}{{100{\\text{Q}}}}} $$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{\\text{M}}}{{100{\\text{Q}}}}$$&#8221; option2=&#8221;$$\\frac{{\\text{M}}}{{10\\sqrt {\\text{Q}} }}$$&#8221; option3=&#8221;$$\\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}} $$&#8221; option4=&#8221;$$\\sqrt {\\frac{{\\text{M}}}{{100{\\text{Q}}}}} $$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}}}$.<\/p>\n<p>The effective depth of a slab is the distance from the top of the slab to the centroid of the tension reinforcement. The maximum bending moment of a simply supported slab is given by the following equation:<\/p>\n<p>$$M = \\frac{w l^2}{8}$$<\/p>\n<p>where $w$ is the load per unit area, $l$ is the span of the slab, and $M$ is the maximum bending moment.<\/p>\n<p>The M.R. factor is a factor that is used to account for the effects of shear and torsion on the bending moment of a slab. The M.R. factor is typically taken to be equal to 1.0 for slabs that are not subjected to significant shear or torsion.<\/p>\n<p>The effective depth of a slab can be calculated using the following equation:<\/p>\n<p>$$d = \\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}}$$<\/p>\n<p>where $d$ is the effective depth of the slab, $M$ is the maximum bending moment, and $Q$ is the M.R. factor.<\/p>\n<p>Therefore, the effective depth of a simply supported slab with a maximum bending moment of $M$ Kg.cm and an M.R. factor of $Q$ is given by the following equation:<\/p>\n<p>$$d = \\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}}$$<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{\\text{M}}}{{100{\\text{Q}}}}$$&#8221; option2=&#8221;$$\\frac{{\\text{M}}}{{10\\sqrt {\\text{Q}} }}$$&#8221; option3=&#8221;$$\\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}} $$&#8221; option4=&#8221;$$\\sqrt {\\frac{{\\text{M}}}{{100{\\text{Q}}}}} $$&#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-5841","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>If the maximum bending moment of a simply supported slab is M Kg.cm, the effective depth of the slab is (where Q is M.R. factor) A. $$\\frac{{\\text{M}}}{{100{\\text{Q}}}}$$ B. $$\\frac{{\\text{M}}}{{10\\sqrt {\\text{Q}} }}$$ C. $$\\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}} $$ D. $$\\sqrt {\\frac{{\\text{M}}}{{100{\\text{Q}}}}} $$<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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(where Q is M.R. factor) A. $$\\frac{{\\text{M}}}{{100{\\text{Q}}}}$$ B. $$\\frac{{\\text{M}}}{{10\\sqrt {\\text{Q}} }}$$ C. $$\\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}} $$ D. $$\\sqrt {\\frac{{\\text{M}}}{{100{\\text{Q}}}}} $$","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\/if-the-maximum-bending-moment-of-a-simply-supported-slab-is-m-kg-cm-the-effective-depth-of-the-slab-is-where-q-is-m-r-factor-a-fractextm100textq-b-fractextm\/","og_locale":"en_US","og_type":"article","og_title":"If the maximum bending moment of a simply supported slab is M Kg.cm, the effective depth of the slab is (where Q is M.R. factor) A. $$\\frac{{\\text{M}}}{{100{\\text{Q}}}}$$ B. $$\\frac{{\\text{M}}}{{10\\sqrt {\\text{Q}} }}$$ C. $$\\sqrt {\\frac{{\\text{M}}}{{\\text{Q}}}} $$ D. $$\\sqrt {\\frac{{\\text{M}}}{{100{\\text{Q}}}}} 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