{"id":5676,"date":"2024-04-15T02:17:08","date_gmt":"2024-04-15T02:17:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5676"},"modified":"2024-04-15T02:17:08","modified_gmt":"2024-04-15T02:17:08","slug":"the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/","title":{"rendered":"The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{{\\text{Wa}}}}{{2l}}$$&#8221; option2=&#8221;$$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$&#8221; option3=&#8221;$$\\frac{{{\\text{Wa}}}}{l}$$&#8221; option4=&#8221;$$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\frac{{{\\text{Wa}}}}{{2l}}$.<\/p>\n<p>The vertical reaction for the arch is the force that the supports exert on the arch to prevent it from falling over. It can be calculated by dividing the weight of the arch by the length of the arch.<\/p>\n<p>The weight of the arch is equal to the product of the area of the arch and the density of the material. The area of the arch is equal to the product of the length of the arch and the width of the arch. The density of the material is a constant.<\/p>\n<p>The length of the arch is the distance between the two supports.<\/p>\n<p>Therefore, the vertical reaction for the arch is equal to:<\/p>\n<p>$$\\frac{{{\\text{Wa}}}}{{2l}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$W$ is the weight of the arch<\/li>\n<li>$a$ is the width of the arch<\/li>\n<li>$l$ is the length of the arch<\/li>\n<\/ul>\n<p>The other options are incorrect because they do not take into account the width of the arch.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{{\\text{Wa}}}}{{2l}}$$&#8221; option2=&#8221;$$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$&#8221; option3=&#8221;$$\\frac{{{\\text{Wa}}}}{l}$$&#8221; option4=&#8221;$$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$&#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":[639],"tags":[],"class_list":["post-5676","post","type-post","status-publish","format-standard","hentry","category-theory-of-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>The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$<\/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\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{{{text{Wa}}}}{{2l}}$$&#8221; option2=&#8221;$$frac{{{text{W}}l}}{{text{a}}}$$&#8221; option3=&#8221;$$frac{{{text{Wa}}}}{l}$$&#8221; option4=&#8221;$$frac{{{text{W}}{{text{a}}^2}}}{{2l}}$$&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:17:08+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\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$","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\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/","og_locale":"en_US","og_type":"article","og_title":"The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$","og_description":"[amp_mcq option1=&#8221;$$frac{{{text{Wa}}}}{{2l}}$$&#8221; 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