{"id":5714,"date":"2024-04-15T02:17:40","date_gmt":"2024-04-15T02:17:40","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5714"},"modified":"2024-04-15T02:17:40","modified_gmt":"2024-04-15T02:17:40","slug":"a-singly-reinforced-concrete-beam-of-25-cm-width-and-70-cm-effective-depth-is-provided-with-18-75-cm2-steel-if-the-modular-ratio-m-is-15-the-depth-of-the-neutral-axis-is-a-20-cm-b-25-cm-c-30-c","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-concrete-beam-of-25-cm-width-and-70-cm-effective-depth-is-provided-with-18-75-cm2-steel-if-the-modular-ratio-m-is-15-the-depth-of-the-neutral-axis-is-a-20-cm-b-25-cm-c-30-c\/","title":{"rendered":"A singly reinforced concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm2 steel. If the modular ratio (m) is 15, the depth of the neutral axis, is A. 20 cm B. 25 cm C. 30 cm D. 35 cm"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;20 cm&#8221; option2=&#8221;25 cm&#8221; option3=&#8221;30 cm&#8221; option4=&#8221;35 cm&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is C. 30 cm.<\/p>\n<p>The depth of the neutral axis (c) can be calculated using the following formula:<\/p>\n<p>$c = \\frac{bd}{As + bd\/m}$<\/p>\n<p>where:<\/p>\n<ul>\n<li>b = beam width = 25 cm<\/li>\n<li>d = effective depth = 70 cm<\/li>\n<li>As = area of steel = 18.75 cm2<\/li>\n<li>m = modular ratio = 15<\/li>\n<\/ul>\n<p>Substituting these values into the formula, we get:<\/p>\n<p>$c = \\frac{(25 \\text{ cm})(70 \\text{ cm})}{(18.75 \\text{ cm}^2) + (25 \\text{ cm})(70 \\text{ cm})\/15}$<\/p>\n<p>$c = 30 \\text{ cm}$<\/p>\n<p>The other options are incorrect because they do not correspond to the correct value of the depth of the neutral axis.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;20 cm&#8221; option2=&#8221;25 cm&#8221; option3=&#8221;30 cm&#8221; option4=&#8221;35 cm&#8221; correct=&#8221;option3&#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-5714","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 concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm2 steel. If the modular ratio (m) is 15, the depth of the neutral axis, is A. 20 cm B. 25 cm C. 30 cm D. 35 cm<\/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-concrete-beam-of-25-cm-width-and-70-cm-effective-depth-is-provided-with-18-75-cm2-steel-if-the-modular-ratio-m-is-15-the-depth-of-the-neutral-axis-is-a-20-cm-b-25-cm-c-30-c\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A singly reinforced concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm2 steel. If the modular ratio (m) is 15, the depth of the neutral axis, is A. 20 cm B. 25 cm C. 30 cm D. 35 cm\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;20 cm&#8221; option2=&#8221;25 cm&#8221; option3=&#8221;30 cm&#8221; option4=&#8221;35 cm&#8221; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-concrete-beam-of-25-cm-width-and-70-cm-effective-depth-is-provided-with-18-75-cm2-steel-if-the-modular-ratio-m-is-15-the-depth-of-the-neutral-axis-is-a-20-cm-b-25-cm-c-30-c\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:17:40+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<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A singly reinforced concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm2 steel. If the modular ratio (m) is 15, the depth of the neutral axis, is A. 20 cm B. 25 cm C. 30 cm D. 35 cm","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-concrete-beam-of-25-cm-width-and-70-cm-effective-depth-is-provided-with-18-75-cm2-steel-if-the-modular-ratio-m-is-15-the-depth-of-the-neutral-axis-is-a-20-cm-b-25-cm-c-30-c\/","og_locale":"en_US","og_type":"article","og_title":"A singly reinforced concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm2 steel. If the modular ratio (m) is 15, the depth of the neutral axis, is A. 20 cm B. 25 cm C. 30 cm D. 35 cm","og_description":"[amp_mcq option1=&#8221;20 cm&#8221; option2=&#8221;25 cm&#8221; option3=&#8221;30 cm&#8221; option4=&#8221;35 cm&#8221; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-concrete-beam-of-25-cm-width-and-70-cm-effective-depth-is-provided-with-18-75-cm2-steel-if-the-modular-ratio-m-is-15-the-depth-of-the-neutral-axis-is-a-20-cm-b-25-cm-c-30-c\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:17:40+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-concrete-beam-of-25-cm-width-and-70-cm-effective-depth-is-provided-with-18-75-cm2-steel-if-the-modular-ratio-m-is-15-the-depth-of-the-neutral-axis-is-a-20-cm-b-25-cm-c-30-c\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-singly-reinforced-concrete-beam-of-25-cm-width-and-70-cm-effective-depth-is-provided-with-18-75-cm2-steel-if-the-modular-ratio-m-is-15-the-depth-of-the-neutral-axis-is-a-20-cm-b-25-cm-c-30-c\/","name":"A singly reinforced concrete beam of 25 cm width and 70 cm effective depth is provided with 18.75 cm2 steel. 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