{"id":9235,"date":"2021-08-15T10:32:52","date_gmt":"2021-08-15T14:32:52","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me323\/?page_id=9235"},"modified":"2022-08-09T13:56:59","modified_gmt":"2022-08-09T17:56:59","slug":"becoming-familiar-with-mohrs-circle","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me323\/animations-and-demonstrations\/becoming-familiar-with-mohrs-circle\/","title":{"rendered":"Becoming familiar with Mohr&#8217;s circle"},"content":{"rendered":"<p><span style=\"font-size: 18pt\"><em><strong>Stress transformations for a state of plane stress<\/strong><\/em><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-9240 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/mohr.pptx-copy-300x168.jpg\" alt=\"\" width=\"398\" height=\"223\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/mohr.pptx-copy-300x168.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/mohr.pptx-copy.jpg 458w\" sizes=\"auto, (max-width: 398px) 100vw, 398px\" \/><\/p>\n<p>Mohr\u2019s circle is a convenient means by which we can visualize the results of the stress transformation relationships for a state of plane stress. Recall that in order for us to draw Mohr\u2019s circle, we need to determine only <u>three<\/u> things:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-9241\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Screen-Shot-2021-08-15-at-10.40.44-AM-300x123.jpg\" alt=\"\" width=\"378\" height=\"155\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Screen-Shot-2021-08-15-at-10.40.44-AM-300x123.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Screen-Shot-2021-08-15-at-10.40.44-AM.jpg 606w\" sizes=\"auto, (max-width: 378px) 100vw, 378px\" \/><\/p>\n<p>Usage of stress transformations in the design for stress requires us to readily move from a known state of stress to the location and size of Mohr\u2019s circle (and then onto principal components of stress and maximum shear stress). How good are you with this?<\/p>\n<p><span style=\"font-size: 14pt\"><em><strong>Four examples<br \/>\n<\/strong><\/em><\/span>The following are animations of four planar stress states: Here we vary one of the three stress components while holding the other two \u00a0fixed as Mohr\u2019s circle is drawn. Use these animations to sharpen your skills in relating a state of stress to Mohr\u2019s circle.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-9243\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-1-300x26.jpg\" alt=\"\" width=\"312\" height=\"27\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-1-300x26.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-1.jpg 361w\" sizes=\"auto, (max-width: 312px) 100vw, 312px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/mohr_03.gif\" width=\"650\" height=\"266\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-9244\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-8-300x23.jpg\" alt=\"\" width=\"300\" height=\"23\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-8-300x23.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-8.jpg 345w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/mohr_04.gif\" width=\"570\" height=\"233\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-9247\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-11-300x25.jpg\" alt=\"\" width=\"300\" height=\"25\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-11-300x25.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-11.jpg 316w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/mohr_01.gif\" width=\"585\" height=\"239\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-9248\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-12-300x25.jpg\" alt=\"\" width=\"300\" height=\"25\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-12-300x25.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/Untitled-12.jpg 316w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me323\/wp-content\/uploads\/sites\/2\/2021\/08\/mohr_02.gif\" width=\"582\" height=\"238\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Stress transformations for a state of plane stress Mohr\u2019s circle is a convenient means by which we can visualize the results of the stress transformation relationships for a state of plane stress. Recall that in order for us to draw Mohr\u2019s circle, we need to determine only three things: Usage of stress transformations in the &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me323\/animations-and-demonstrations\/becoming-familiar-with-mohrs-circle\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Becoming familiar with Mohr&#8217;s circle<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":5074,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-9235","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/pages\/9235","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/comments?post=9235"}],"version-history":[{"count":5,"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/pages\/9235\/revisions"}],"predecessor-version":[{"id":9255,"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/pages\/9235\/revisions\/9255"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/pages\/5074"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/media?parent=9235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}