{"id":157980,"date":"2023-09-08T11:57:12","date_gmt":"2023-09-08T06:27:12","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=157980"},"modified":"2023-09-08T11:57:15","modified_gmt":"2023-09-08T06:27:15","slug":"a-thin-walled-cylindrical-pressure-vessel-with-an-inside-diameter-of-300-mm-and-wall-thickness-of-3-mm-is-subjected-to-an-internal-gauge-pressure-of-1-5-mpa","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-thin-walled-cylindrical-pressure-vessel-with-an-inside-diameter-of-300-mm-and-wall-thickness-of-3-mm-is-subjected-to-an-internal-gauge-pressure-of-1-5-mpa\/","title":{"rendered":"A thin walled cylindrical pressure vessel with an inside diameter of 300 mm and wall thickness of 3 mm is subjected to an internal gauge pressure of 1.5 MPa"},"content":{"rendered":"\n<p>Q. A thin walled cylindrical pressure vessel with an inside diameter of 300 mm and wall thickness of 3 mm is subjected to an internal gauge pressure of 1.5 MPa. The maximum shear stress (in MPa) at a point located on the inner surface of the pressure vessel is \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p>Ans: 37 &#8211; 40<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p><strong>Concept<\/strong>:<\/p>\n\n\n\n<p>In a thin cylindrical pressure vessel:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"161\" height=\"329\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-848.png\" alt=\"\" class=\"wp-image-157984\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-848.png 161w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-848-147x300.png 147w\" sizes=\"(max-width: 161px) 100vw, 161px\" \/><\/figure>\n\n\n\n<p>Note:\u00a0We always consider maximum shear stress because it fails the system first and in the case of the cylinder out of plane shear stress is maximum that&#8217;s why we do not consider in-plane stress for calculation if nothing mention in the question. where, \u03c3c\u00a0= Circumferential stress,\u00a0\u03c3L\u00a0= Longitudinal stress, P = Internal gauge pressure d = Inside diameter of the cylinder, t = thickness of the cylinder<\/p>\n\n\n\n<p>Calculation: <\/p>\n\n\n\n<p>Given: d = 300 mm, t = 3mm, P = 1.5 MPa<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"227\" height=\"42\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-849.png\" alt=\"\" class=\"wp-image-157985\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. A thin walled cylindrical pressure vessel with an inside diameter of 300 mm and wall thickness of 3 mm is subjected to an internal gauge pressure of 1.5 MPa. The maximum shear stress (in MPa) at a point located on the inner surface of the pressure vessel is \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ans: 37 &#8211; 40 Sol: [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":157986,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-157980","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/157980","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=157980"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/157980\/revisions"}],"predecessor-version":[{"id":157987,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/157980\/revisions\/157987"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/157986"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=157980"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=157980"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=157980"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}