{"id":9151,"date":"2021-08-14T22:52:06","date_gmt":"2021-08-15T02:52:06","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me323\/?page_id=9151"},"modified":"2025-09-21T16:12:36","modified_gmt":"2025-09-21T20:12:36","slug":"strains-in-rods","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me323\/animations-and-demonstrations\/strains-in-rods\/","title":{"rendered":"Strains in rods"},"content":{"rendered":"

Uniaxial loading<\/span><\/strong><\/em><\/p>\n

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Consider here a tensile axial load P<\/em> is applied to a straight rod.<\/p>\n

Normal strains<\/strong><\/em><\/span>
\nThe member shows a tensile normal component of strain in the axial x-direction and contractive normal strains in the transverse directions (due to the Poisson\u2019s effect). The rod does NOT experience shear strains on the xyz<\/em> faces of a stress element. A square painted on the side of the rod will retain its rectangular shape as a result of this strain, as shown with the red square below. Only the dimensions of the rectangle change.<\/p>\n

<\/p>\n

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 <\/p>\n

Shear strains
\n<\/span><\/strong><\/em>For the same axial loading, consider a blue diamond-shaped image (a square rotated through a 45\u00b0 angle) painted on the side of the rod. Under the action of the axial load, \u00a0the shape of the diamond is NOT retained, as the angles between the sides of the diamond change with the strains in the rod, as shown with the blue diamond below. The shear strain \u03d2 in this case is NOT zero; the components of normal strain are also not zero.<\/p>\n

<\/p>\n

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CONCLUSION<\/u><\/em>: A change in the orientation of the stress element exposes different normal and shear components of strain.<\/p>\n

 <\/p>\n

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 <\/p>\n","protected":false},"excerpt":{"rendered":"

Uniaxial loading Consider here a tensile axial load P is applied to a straight rod. Normal strains The member shows a tensile normal component of strain in the axial x-direction and contractive normal strains in the transverse directions (due to the Poisson\u2019s effect). The rod does NOT experience shear strains on the xyz faces of … Continue reading Strains in rods<\/span> →<\/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-9151","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/pages\/9151","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=9151"}],"version-history":[{"count":7,"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/pages\/9151\/revisions"}],"predecessor-version":[{"id":16453,"href":"https:\/\/www.purdue.edu\/freeform\/me323\/wp-json\/wp\/v2\/pages\/9151\/revisions\/16453"}],"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=9151"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}