{"id":2976,"date":"2024-08-20T17:15:30","date_gmt":"2024-08-20T11:45:30","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=2976"},"modified":"2025-07-16T16:49:24","modified_gmt":"2025-07-16T11:19:24","slug":"pressure-diagram-prism","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ce\/fluid-mechanics\/pressure-diagram-prism","title":{"rendered":"Pressure Diagram or Prism"},"content":{"rendered":"<ul>\n<li style=\"text-align: justify;\">A pressure diagram or prism is a graphical representation of the variation of pressure intensity over a plane <img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-2977 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/pressure-prism.jpg\" alt=\"Pressure prism\" width=\"235\" height=\"238\" \/> surface.<\/li>\n<li style=\"text-align: justify;\">Total hydrostatic force as well as centre of pressure for a plane surface can be determined by drawing a pressure diagram.<\/li>\n<li style=\"text-align: justify;\">Net force on plate is equal to volume of the pressure prism.<\/li>\n<li style=\"text-align: justify;\">Point of application of resultant force is at centre of gravity (C.G.) of the prism projected on the plate.<\/li>\n<li style=\"text-align: justify;\">It can be drawn for a plane surface in any orientation.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><strong>NOTE:<\/strong> Pressure diagram approach is useful when the section is rectangular or square.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2978 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/pressure-prism-1.jpg\" alt=\"Pressure Prism\" width=\"557\" height=\"418\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/pressure-prism-1.jpg 557w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/pressure-prism-1-300x225.jpg 300w\" sizes=\"auto, (max-width: 557px) 100vw, 557px\" \/><\/p>\n<p style=\"text-align: justify;\">If the plate is completely submerged in one liquid only (even if there is other type of liquid present above the plate),<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-2990 alignright\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/tilted-plate-.jpg\" alt=\"Tilted Plate \" width=\"143\" height=\"116\" \/> the pressure force on plate will be simply, pressure at the CG of plate multiplied by area of plate.<\/p>\n<p style=\"text-align: justify;\">Force on AC = Pressure at the C.G. of AC multiplied by area of AC<br \/>\nForce on CB = Pressure at the C.G. of CB multiplied by area of C.B.<\/p>\n<p style=\"text-align: justify;\">Point of application of resultant force can be calculated as the C.G. of pressure prism on AB projected on AB.<\/p>\n<p style=\"text-align: justify;\">Force on Plate AB = (S<sub>2<\/sub>\u03b3<sub>w<\/sub>h<sub>1<\/sub> + S<sub>1<\/sub>\u03b3<sub>w<\/sub>h<sub>2<\/sub>)A,<br \/>\nA = Area of plate<\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ce\/fluid-mechanics\/shear-stress-turbulent-flow\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ce\/fluid-mechanics\/model-analysis\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/ce\/what-is-fluid-mechanics\/\" target=\"_blank\" rel=\"noopener\"><strong>What is Fluid Mechanics?<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A pressure diagram or prism is a graphical representation of the variation of pressure intensity over a plane surface. Total<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[814,2],"tags":[827,826,825],"class_list":["post-2976","post","type-post","status-publish","format-standard","hentry","category-fluid-mechanics","category-ce","tag-centre-of-gravity","tag-hydrostatic-force","tag-tilted-plate"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2976","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=2976"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2976\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=2976"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=2976"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=2976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}