{"id":156436,"date":"2023-08-31T11:33:50","date_gmt":"2023-08-31T06:03:50","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156436"},"modified":"2023-08-31T11:33:50","modified_gmt":"2023-08-31T06:03:50","slug":"a-solid-cube-of-side-1-m-is-kept-at-a-room-temperature-of-32-c-the-coefficient-of-linear-thermal-expansion-of-the-cube-material-is-1x10-5-c-and-the-bulk-modulus","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-solid-cube-of-side-1-m-is-kept-at-a-room-temperature-of-32-c-the-coefficient-of-linear-thermal-expansion-of-the-cube-material-is-1x10-5-c-and-the-bulk-modulus\/","title":{"rendered":"A solid cube of side 1 m is kept at a room temperature of 32 \u00b0C. The coefficient of linear thermal expansion of the cube material is 1&#215;10-5 \/ \u00b0C and the bulk modulus"},"content":{"rendered":"\n<p>Q. A solid cube of side 1 m is kept at a room temperature of 32 \u00b0C. The coefficient of linear thermal expansion of the cube material is 1&#215;10<sup>-5<\/sup> \/ \u00b0C and the bulk modulus is 200 GPa. If the cube is constrained all around and heated uniformly to 42 \u00b0C, then the magnitude of volumetric (mean) stress (in MPa) induced due to heating is\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Given data<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"315\" height=\"104\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-652.png\" alt=\"\" class=\"wp-image-156437\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-652.png 315w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-652-300x99.png 300w\" sizes=\"auto, (max-width: 315px) 100vw, 315px\" \/><\/figure>\n\n\n\n<p>Volumetric stress induced = 60 MPa<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. A solid cube of side 1 m is kept at a room temperature of 32 \u00b0C. The coefficient of linear thermal expansion of the cube material is 1&#215;10-5 \/ \u00b0C and the bulk modulus is 200 GPa. If the cube is constrained all around and heated uniformly to 42 \u00b0C, then the magnitude of [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156438,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5141],"tags":[5140],"offerexpiration":[],"class_list":["post-156436","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\/156436","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=156436"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156436\/revisions"}],"predecessor-version":[{"id":156439,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156436\/revisions\/156439"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156438"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156436"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156436"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156436"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=156436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}