{"id":5822,"date":"2024-04-15T02:19:22","date_gmt":"2024-04-15T02:19:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5822"},"modified":"2024-04-15T02:19:22","modified_gmt":"2024-04-15T02:19:22","slug":"if-the-permissible-compressive-and-tensile-stresses-in-a-singly-reinforced-beam-are-50-kg-cm2-and-1400-kg-cm2-respectively-and-the-modular-ratio-is-18-the-percentage-area-ast-of-the-steel-required-fo","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-permissible-compressive-and-tensile-stresses-in-a-singly-reinforced-beam-are-50-kg-cm2-and-1400-kg-cm2-respectively-and-the-modular-ratio-is-18-the-percentage-area-ast-of-the-steel-required-fo\/","title":{"rendered":"If the permissible compressive and tensile stresses in a singly reinforced beam are 50 kg\/cm2 and 1400 kg\/cm2 respectively and the modular ratio is 18, the percentage area Ast of the steel required for an economic section, is A. 0.496% B. 0.596% C. 0.696% D. 0.796%"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;0.50%&#8221; option2=&#8221;0.60%&#8221; option3=&#8221;0.70%&#8221; option4=&#8221;0.80%&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) 0.596\\%}}$.<\/p>\n<p>The percentage area of steel required for an economic section is given by the following equation:<\/p>\n<p>$$\\frac{As}{bd} = \\frac{0.496}{f_c&#8217;}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$As$ is the area of steel in the beam,<\/li>\n<li>$b$ is the width of the beam,<\/li>\n<li>$d$ is the effective depth of the beam, and<\/li>\n<li>$f_c&#8217;$ is the compressive strength of the concrete.<\/li>\n<\/ul>\n<p>In this case, we are given that $f_c&#8217; = 50 \\text{ kg\/cm}^2$ and $m = 18$. Substituting these values into the equation, we get:<\/p>\n<p>$$\\frac{As}{bd} = \\frac{0.496}{50 \\text{ kg\/cm}^2} = 0.00992 \\text{ cm}^2\/\\text{cm}^2$$<\/p>\n<p>To convert this to a percentage, we multiply by 100:<\/p>\n<p>$$\\frac{As}{bd} = 0.00992 \\text{ cm}^2\/\\text{cm}^2 \\times 100\\% = 0.596\\%$$<\/p>\n<p>Therefore, the percentage area of steel required for an economic section is $\\boxed{\\text{B) 0.596\\%}}$.<\/p>\n<p>The other options are incorrect because they do not represent the percentage area of steel required for an economic section.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;0.50%&#8221; option2=&#8221;0.60%&#8221; option3=&#8221;0.70%&#8221; option4=&#8221;0.80%&#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-5822","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 permissible compressive and tensile stresses in a singly reinforced beam are 50 kg\/cm2 and 1400 kg\/cm2 respectively and the modular ratio is 18, the percentage area Ast of the steel required for an economic section, is A. 0.496% B. 0.596% C. 0.696% D. 0.796%<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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area Ast of the steel required for an economic section, is A. 0.496% B. 0.596% C. 0.696% D. 0.796%","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-permissible-compressive-and-tensile-stresses-in-a-singly-reinforced-beam-are-50-kg-cm2-and-1400-kg-cm2-respectively-and-the-modular-ratio-is-18-the-percentage-area-ast-of-the-steel-required-fo\/","og_locale":"en_US","og_type":"article","og_title":"If the permissible compressive and tensile stresses in a singly reinforced beam are 50 kg\/cm2 and 1400 kg\/cm2 respectively and the modular ratio is 18, the percentage area Ast of the steel required for an economic section, is A. 0.496% B. 0.596% C. 0.696% D. 0.796%","og_description":"[amp_mcq option1=&#8221;0.50%&#8221; option2=&#8221;0.60%&#8221; option3=&#8221;0.70%&#8221; option4=&#8221;0.80%&#8221; 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