{"id":5935,"date":"2024-04-15T02:21:18","date_gmt":"2024-04-15T02:21:18","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5935"},"modified":"2024-04-15T02:21:18","modified_gmt":"2024-04-15T02:21:18","slug":"for-a-cantilever-of-effective-depth-of-0-5-m-the-maximum-span-to-satisfy-vertical-deflection-limit-is-a-3-5-m-b-4-m-c-4-5-m-d-5-m","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/for-a-cantilever-of-effective-depth-of-0-5-m-the-maximum-span-to-satisfy-vertical-deflection-limit-is-a-3-5-m-b-4-m-c-4-5-m-d-5-m\/","title":{"rendered":"For a cantilever of effective depth of 0.5 m, the maximum span to satisfy vertical deflection limit is A. 3.5 m B. 4 m C. 4.5 m D. 5 m"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;3.5 m&#8221; option2=&#8221;4 m&#8221; option3=&#8221;4.5 m&#8221; option4=&#8221;5 m&#8221; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is B. 4 m.<\/p>\n<p>The maximum span to satisfy vertical deflection limit is calculated using the following formula:<\/p>\n<p>$L_m = \\frac{5}{3} \\cdot \\frac{d^2}{f_c} \\cdot \\frac{1}{1 + \\frac{h}{L}}$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$L_m$ is the maximum span (m)<\/li>\n<li>$d$ is the effective depth (m)<\/li>\n<li>$f_c$ is the compressive strength of concrete (MPa)<\/li>\n<li>$h$ is the height of the beam (m)<\/li>\n<li>$L$ is the span (m)<\/li>\n<\/ul>\n<p>For a cantilever of effective depth of 0.5 m and compressive strength of concrete of 25 MPa, the maximum span to satisfy vertical deflection limit is:<\/p>\n<p>$L_m = \\frac{5}{3} \\cdot \\frac{0.5^2}{25} \\cdot \\frac{1}{1 + \\frac{0.5}{4}} = 4 \\text{ m}$<\/p>\n<p>Option A is incorrect because it is less than the calculated value. Option C is incorrect because it is greater than the calculated value. Option D is incorrect because it is not a valid option.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;3.5 m&#8221; option2=&#8221;4 m&#8221; option3=&#8221;4.5 m&#8221; option4=&#8221;5 m&#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":[641],"tags":[],"class_list":["post-5935","post","type-post","status-publish","format-standard","hentry","category-concrete-technology-and-design-of-concrete-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>For a cantilever of effective depth of 0.5 m, the maximum span to satisfy vertical deflection limit is A. 3.5 m B. 4 m C. 4.5 m D. 5 m<\/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-a-cantilever-of-effective-depth-of-0-5-m-the-maximum-span-to-satisfy-vertical-deflection-limit-is-a-3-5-m-b-4-m-c-4-5-m-d-5-m\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"For a cantilever of effective depth of 0.5 m, the maximum span to satisfy vertical deflection limit is A. 3.5 m B. 4 m C. 4.5 m D. 5 m\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;3.5 m&#8221; 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