{"id":1863,"date":"2024-07-30T08:28:56","date_gmt":"2024-07-30T08:28:56","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=1863"},"modified":"2024-07-30T08:28:57","modified_gmt":"2024-07-30T08:28:57","slug":"centroid-of-i-section","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/07\/30\/centroid-of-i-section\/","title":{"rendered":"Centroid of I-section"},"content":{"rendered":"\n<p id=\"para-011\">The I-section, shown in\u00a0Figure 11.2,\u00a0can be divided into three parts\u2014lower part of area\u00a0<em>A<\/em><sub>1<\/sub><em>,<\/em>\u00a0middle part of area\u00a0<em>A<\/em><sub>2<\/sub>, and upper part of area\u00a0<em>A<\/em><sub>3<\/sub>. The lengths and widths of all the parts of I-section are shown in\u00a0Figure 11.2.\u00a0Let the\u00a0<em>X<\/em>\u00a0and\u00a0<em>Y<\/em>\u00a0coordinates pass through origin\u00a0<em>O<\/em>\u00a0as shown in\u00a0Figure 11.3.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page277a.png\" alt=\"Figure 11.2\"\/><\/figure>\n\n\n\n<p id=\"para-013\"><strong>Figure 11.2<\/strong>&nbsp;Centroid of&nbsp;<em>I<\/em>-section<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page277b.png\" alt=\"Figure 11.3\"\/><\/figure>\n\n\n\n<p id=\"para-014\"><strong>Figure 11.3<\/strong>&nbsp;Reference Axes for&nbsp;<em>I<\/em>-section<\/p>\n\n\n\n<p id=\"para-012\">The coordinates for centroid can be calculated using the following formula:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page277c1.png\" alt=\"Equation\"\/><\/figure>\n\n\n\n<p id=\"para-015\">In the case of axial symmetry about&nbsp;<em>Y<\/em>-axis (i.e.,&nbsp;<em>y<\/em>-axis passes through centres of sections 1, 2 and 3), the distances of&nbsp;<em>X<\/em><sub>1<\/sub>\/2,&nbsp;<em>X<\/em><sub>2<\/sub>\/2,&nbsp;<em>X<\/em><sub>3<\/sub>\/2 from origin will be zero.<\/p>\n\n\n\n<p id=\"para-017\">Hence,&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/xbar.png\" alt=\"equation\" width=\"13\" height=\"17\">&nbsp;= 0.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The I-section, shown in\u00a0Figure 11.2,\u00a0can be divided into three parts\u2014lower part of area\u00a0A1,\u00a0middle part of area\u00a0A2, and upper part of area\u00a0A3. The lengths and widths of all the parts of I-section are shown in\u00a0Figure 11.2.\u00a0Let the\u00a0X\u00a0and\u00a0Y\u00a0coordinates pass through origin\u00a0O\u00a0as shown in\u00a0Figure 11.3. Figure 11.2&nbsp;Centroid of&nbsp;I-section Figure 11.3&nbsp;Reference Axes for&nbsp;I-section The coordinates for centroid can be [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1864,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[343],"tags":[],"class_list":["post-1863","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-centroid-and-moment-of-inertia"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/07\/download-2.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1863","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=1863"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1863\/revisions"}],"predecessor-version":[{"id":1865,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1863\/revisions\/1865"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/1864"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=1863"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=1863"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=1863"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}