{"id":5669,"date":"2024-04-15T02:17:02","date_gmt":"2024-04-15T02:17:02","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5669"},"modified":"2024-04-15T02:17:02","modified_gmt":"2024-04-15T02:17:02","slug":"a-two-hinged-parabolic-arch-of-span-l-and-rise-h-carries-a-load-varying-from-zero-at-the-left-end-to-omega-per-unit-run-at-the-right-end-the-horizontal-thrust-is-a-fracomega-l2","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-two-hinged-parabolic-arch-of-span-l-and-rise-h-carries-a-load-varying-from-zero-at-the-left-end-to-omega-per-unit-run-at-the-right-end-the-horizontal-thrust-is-a-fracomega-l2\/","title":{"rendered":"A two hinged parabolic arch of span $$l$$ and rise h carries a load varying from zero at the left end to $$\\omega $$ per unit run at the right end. The horizontal thrust is A. $$\\frac{{\\omega {l^2}}}{{4{\\text{h}}}}$$ B. $$\\frac{{\\omega {l^2}}}{{8{\\text{h}}}}$$ C. $$\\frac{{\\omega {l^2}}}{{12{\\text{h}}}}$$ D. $$\\frac{{\\omega {l^2}}}{{16{\\text{h}}}}$$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{\\omega {l^2}}}{{4{\\text{h}}}}$$&#8221; option2=&#8221;$$\\frac{{\\omega {l^2}}}{{8{\\text{h}}}}$$&#8221; option3=&#8221;$$\\frac{{\\omega {l^2}}}{{12{\\text{h}}}}$$&#8221; option4=&#8221;$$\\frac{{\\omega {l^2}}}{{16{\\text{h}}}}$$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\frac{{\\omega {l^2}}}{{8{\\text{h}}}}}$.<\/p>\n<p>The horizontal thrust is the force that the arch exerts on the supports at its ends. It is equal to the total load on the arch divided by the rise of the arch.<\/p>\n<p>The load on the arch is a uniform load of $\\omega$ per unit run, which means that the total load is $\\omega l$. The rise of the arch is $h$.<\/p>\n<p>The horizontal thrust is therefore:<\/p>\n<p>$$T = \\frac{\\omega l}{h} = \\frac{{\\omega {l^2}}}{{8{\\text{h}}}}$$<\/p>\n<p>The other options are incorrect because they do not divide the total load by the rise of the arch.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{{\\omega {l^2}}}{{4{\\text{h}}}}$$&#8221; option2=&#8221;$$\\frac{{\\omega {l^2}}}{{8{\\text{h}}}}$$&#8221; option3=&#8221;$$\\frac{{\\omega {l^2}}}{{12{\\text{h}}}}$$&#8221; option4=&#8221;$$\\frac{{\\omega {l^2}}}{{16{\\text{h}}}}$$&#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-5669","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>A two hinged parabolic arch of span $$l$$ and rise h carries a load varying from zero at the left end to $$\\omega $$ per unit run at the right end. The horizontal thrust is A. $$\\frac{{\\omega {l^2}}}{{4{\\text{h}}}}$$ B. $$\\frac{{\\omega {l^2}}}{{8{\\text{h}}}}$$ C. $$\\frac{{\\omega {l^2}}}{{12{\\text{h}}}}$$ D. $$\\frac{{\\omega {l^2}}}{{16{\\text{h}}}}$$<\/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-two-hinged-parabolic-arch-of-span-l-and-rise-h-carries-a-load-varying-from-zero-at-the-left-end-to-omega-per-unit-run-at-the-right-end-the-horizontal-thrust-is-a-fracomega-l2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A two hinged parabolic arch of span $$l$$ and rise h carries a load varying from zero at the left end to $$\\omega $$ per unit run at the right end. The horizontal thrust is A. $$\\frac{{\\omega {l^2}}}{{4{\\text{h}}}}$$ B. $$\\frac{{\\omega {l^2}}}{{8{\\text{h}}}}$$ C. $$\\frac{{\\omega {l^2}}}{{12{\\text{h}}}}$$ D. $$\\frac{{\\omega {l^2}}}{{16{\\text{h}}}}$$\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{{omega {l^2}}}{{4{text{h}}}}$$&#8221; option2=&#8221;$$frac{{omega {l^2}}}{{8{text{h}}}}$$&#8221; option3=&#8221;$$frac{{omega {l^2}}}{{12{text{h}}}}$$&#8221; option4=&#8221;$$frac{{omega {l^2}}}{{16{text{h}}}}$$&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-two-hinged-parabolic-arch-of-span-l-and-rise-h-carries-a-load-varying-from-zero-at-the-left-end-to-omega-per-unit-run-at-the-right-end-the-horizontal-thrust-is-a-fracomega-l2\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:17:02+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":"A two hinged parabolic arch of span $$l$$ and rise h carries a load varying from zero at the left end to $$\\omega $$ per unit run at the right end. The horizontal thrust is A. $$\\frac{{\\omega {l^2}}}{{4{\\text{h}}}}$$ B. $$\\frac{{\\omega {l^2}}}{{8{\\text{h}}}}$$ C. $$\\frac{{\\omega {l^2}}}{{12{\\text{h}}}}$$ D. $$\\frac{{\\omega {l^2}}}{{16{\\text{h}}}}$$","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-two-hinged-parabolic-arch-of-span-l-and-rise-h-carries-a-load-varying-from-zero-at-the-left-end-to-omega-per-unit-run-at-the-right-end-the-horizontal-thrust-is-a-fracomega-l2\/","og_locale":"en_US","og_type":"article","og_title":"A two hinged parabolic arch of span $$l$$ and rise h carries a load varying from zero at the left end to $$\\omega $$ per unit run at the right end. The horizontal thrust is A. $$\\frac{{\\omega {l^2}}}{{4{\\text{h}}}}$$ B. $$\\frac{{\\omega {l^2}}}{{8{\\text{h}}}}$$ C. $$\\frac{{\\omega {l^2}}}{{12{\\text{h}}}}$$ D. $$\\frac{{\\omega {l^2}}}{{16{\\text{h}}}}$$","og_description":"[amp_mcq option1=&#8221;$$frac{{omega {l^2}}}{{4{text{h}}}}$$&#8221; option2=&#8221;$$frac{{omega {l^2}}}{{8{text{h}}}}$$&#8221; option3=&#8221;$$frac{{omega {l^2}}}{{12{text{h}}}}$$&#8221; option4=&#8221;$$frac{{omega {l^2}}}{{16{text{h}}}}$$&#8221; correct=&#8221;option1&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-two-hinged-parabolic-arch-of-span-l-and-rise-h-carries-a-load-varying-from-zero-at-the-left-end-to-omega-per-unit-run-at-the-right-end-the-horizontal-thrust-is-a-fracomega-l2\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:17:02+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-two-hinged-parabolic-arch-of-span-l-and-rise-h-carries-a-load-varying-from-zero-at-the-left-end-to-omega-per-unit-run-at-the-right-end-the-horizontal-thrust-is-a-fracomega-l2\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-two-hinged-parabolic-arch-of-span-l-and-rise-h-carries-a-load-varying-from-zero-at-the-left-end-to-omega-per-unit-run-at-the-right-end-the-horizontal-thrust-is-a-fracomega-l2\/","name":"A two hinged parabolic arch of span $$l$$ and rise h carries a load varying from zero at the left end to $$\\omega $$ per unit run at the right end. 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