{"id":5695,"date":"2024-04-15T02:17:24","date_gmt":"2024-04-15T02:17:24","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5695"},"modified":"2024-04-15T02:17:24","modified_gmt":"2024-04-15T02:17:24","slug":"pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/","title":{"rendered":"Pick up the correct statement from the following: A. Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 &#8211; \\frac{1}{{2{\\text{m}}}}} \\right]$$ B. Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} &#8211; \\frac{1}{{\\text{m}}}} \\right]$$ C. Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} &#8211; \\frac{2}{{\\text{m}}}} \\right]$$ D. All the above"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 &#8211; \\frac{1}{{2{\\text{m}}}}} \\right]$$&#8221; option2=&#8221;Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} &#8211; \\frac{1}{{\\text{m}}}} \\right]$$&#8221; option3=&#8221;Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} &#8211; \\frac{2}{{\\text{m}}}} \\right]$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is D. All the above.<\/p>\n<p>The hoop strain of the walls of a cylinder due to liquid is given by:<\/p>\n<p>$$\\varepsilon_h = \\frac{p d}{2 t E} \\left[ 1 &#8211; \\frac{1}{2 m} \\right]$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$p$ is the pressure of the liquid<\/li>\n<li>$d$ is the diameter of the cylinder<\/li>\n<li>$t$ is the thickness of the cylinder<\/li>\n<li>$E$ is the Young&#8217;s modulus of the material of the cylinder<\/li>\n<li>$m$ is the Poisson&#8217;s ratio of the material of the cylinder<\/li>\n<\/ul>\n<p>The longitudinal strain in the walls of a cylinder due to liquid is given by:<\/p>\n<p>$$\\varepsilon_l = \\frac{p d}{2 t E} \\left[ \\frac{1}{2} &#8211; \\frac{1}{m} \\right]$$<\/p>\n<p>The volumetric change in the cylinder due to liquid is given by:<\/p>\n<p>$$\\Delta V = \\frac{p d^2}{2 t E} \\left[ \\frac{5}{2} &#8211; \\frac{2}{m} \\right]$$<\/p>\n<p>Therefore, all the statements in the question are correct.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 &#8211; \\frac{1}{{2{\\text{m}}}}} \\right]$$&#8221; option2=&#8221;Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} &#8211; \\frac{1}{{\\text{m}}}} \\right]$$&#8221; option3=&#8221;Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} &#8211; \\frac{2}{{\\text{m}}}} \\right]$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#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-5695","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>Pick up the correct statement from the following: A. Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 - \\frac{1}{{2{\\text{m}}}}} \\right]$$ B. Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} - \\frac{1}{{\\text{m}}}} \\right]$$ C. Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} - \\frac{2}{{\\text{m}}}} \\right]$$ D. All the above<\/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\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pick up the correct statement from the following: A. Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 - \\frac{1}{{2{\\text{m}}}}} \\right]$$ B. Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} - \\frac{1}{{\\text{m}}}} \\right]$$ C. Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} - \\frac{2}{{\\text{m}}}} \\right]$$ D. All the above\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;Hoop strain of the walls of a cylinder due to liquid is $$frac{{{text{pd}}}}{{2{text{tE}}}}left[ {1 &#8211; frac{1}{{2{text{m}}}}} right]$$&#8221; option2=&#8221;Longitudinal strain in the walls of a cylinder due to liquid is $$frac{{{text{pd}}}}{{2{text{tE}}}}left[ {frac{1}{2} &#8211; frac{1}{{text{m}}}} right]$$&#8221; option3=&#8221;Volumetric change in the cylinder due to liquid is $$frac{{{text{pd}}}}{{2{text{tE}}}}left[ {frac{5}{2} &#8211; frac{2}{{text{m}}}} right]$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:17:24+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":"Pick up the correct statement from the following: A. Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 - \\frac{1}{{2{\\text{m}}}}} \\right]$$ B. Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} - \\frac{1}{{\\text{m}}}} \\right]$$ C. Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} - \\frac{2}{{\\text{m}}}} \\right]$$ D. All the above","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\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/","og_locale":"en_US","og_type":"article","og_title":"Pick up the correct statement from the following: A. Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 - \\frac{1}{{2{\\text{m}}}}} \\right]$$ B. Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} - \\frac{1}{{\\text{m}}}} \\right]$$ C. Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} - \\frac{2}{{\\text{m}}}} \\right]$$ D. All the above","og_description":"[amp_mcq option1=&#8221;Hoop strain of the walls of a cylinder due to liquid is $$frac{{{text{pd}}}}{{2{text{tE}}}}left[ {1 &#8211; frac{1}{{2{text{m}}}}} right]$$&#8221; option2=&#8221;Longitudinal strain in the walls of a cylinder due to liquid is $$frac{{{text{pd}}}}{{2{text{tE}}}}left[ {frac{1}{2} &#8211; frac{1}{{text{m}}}} right]$$&#8221; option3=&#8221;Volumetric change in the cylinder due to liquid is $$frac{{{text{pd}}}}{{2{text{tE}}}}left[ {frac{5}{2} &#8211; frac{2}{{text{m}}}} right]$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option4&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:17:24+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\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/","url":"https:\/\/exam.pscnotes.com\/mcq\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/","name":"Pick up the correct statement from the following: A. Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 - \\frac{1}{{2{\\text{m}}}}} \\right]$$ B. Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} - \\frac{1}{{\\text{m}}}} \\right]$$ C. Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} - \\frac{2}{{\\text{m}}}} \\right]$$ D. All the above","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:17:24+00:00","dateModified":"2024-04-15T02:17:24+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/pick-up-the-correct-statement-from-the-following-a-hoop-strain-of-the-walls-of-a-cylinder-due-to-liquid-is-fractextpd2textteleft-1-frac12textm-right\/#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":"Theory of structures","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/theory-of-structures\/"},{"@type":"ListItem","position":5,"name":"Pick up the correct statement from the following: A. Hoop strain of the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {1 &#8211; \\frac{1}{{2{\\text{m}}}}} \\right]$$ B. Longitudinal strain in the walls of a cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{1}{2} &#8211; \\frac{1}{{\\text{m}}}} \\right]$$ C. Volumetric change in the cylinder due to liquid is $$\\frac{{{\\text{pd}}}}{{2{\\text{tE}}}}\\left[ {\\frac{5}{2} &#8211; \\frac{2}{{\\text{m}}}} \\right]$$ D. All the above"}]},{"@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\/5695","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=5695"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5695\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=5695"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=5695"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=5695"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}