{"id":5939,"date":"2024-04-15T02:21:22","date_gmt":"2024-04-15T02:21:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5939"},"modified":"2024-04-15T02:21:22","modified_gmt":"2024-04-15T02:21:22","slug":"the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/","title":{"rendered":"The maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;wR \/ 4d&#8221; option2=&#8221;wR\/2d&#8221; option3=&#8221;wR\/d&#8221; option4=&#8221;2wR\/d&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B. }wR\/2d}$.<\/p>\n<p>The hoop compression in a dome is given by the following equation:<\/p>\n<p>$$\\sigma = \\frac{wR}{2d}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$\\sigma$ is the hoop compression<\/li>\n<li>$w$ is the load per unit area of surface of dome<\/li>\n<li>$R$ is the radius of curvature<\/li>\n<li>$d$ is the thickness of dome<\/li>\n<\/ul>\n<p>The hoop compression is the maximum at the top of the dome, where the radius of curvature is the largest. The thickness of the dome is constant, so the hoop compression is proportional to the load per unit area of surface of the dome and inversely proportional to the thickness of the dome.<\/p>\n<p>Option A is incorrect because it does not take into account the thickness of the dome. Option C is incorrect because it does not take into account the radius of curvature of the dome. Option D is incorrect because it is twice the correct value.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;wR \/ 4d&#8221; option2=&#8221;wR\/2d&#8221; option3=&#8221;wR\/d&#8221; option4=&#8221;2wR\/d&#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":[641],"tags":[],"class_list":["post-5939","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>The maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d<\/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-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;wR \/ 4d&#8221; option2=&#8221;wR\/2d&#8221; option3=&#8221;wR\/d&#8221; option4=&#8221;2wR\/d&#8221; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:21:22+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 maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d","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-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/","og_locale":"en_US","og_type":"article","og_title":"The maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d","og_description":"[amp_mcq option1=&#8221;wR \/ 4d&#8221; option2=&#8221;wR\/2d&#8221; option3=&#8221;wR\/d&#8221; option4=&#8221;2wR\/d&#8221; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:21:22+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\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/","name":"The maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:21:22+00:00","dateModified":"2024-04-15T02:21:22+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Concrete technology and design of concrete structures","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/concrete-technology-and-design-of-concrete-structures\/"},{"@type":"ListItem","position":5,"name":"The maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5939","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=5939"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5939\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=5939"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=5939"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=5939"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}