{"id":377,"date":"2024-10-06T04:54:03","date_gmt":"2024-10-05T21:54:03","guid":{"rendered":"http:\/\/www.tneutron.net\/mesin\/?p=377"},"modified":"2024-10-01T10:58:27","modified_gmt":"2024-10-01T03:58:27","slug":"momen-inersia","status":"publish","type":"post","link":"https:\/\/www.tneutron.net\/mesin\/momen-inersia\/","title":{"rendered":"Momen Inersia"},"content":{"rendered":"<p><strong>a. Momen Inersia Terhadap Sumbu Mendatar (X-X)<\/strong><br \/>\nMomen inersia penampang terhadap suatu garis yaitu jumlah luas penampang (elemen) terkecil dikalikan dengan kwadrat jarak normal terhadap titik beratnya, atau luas penampang dikalikan kwadrat jaraknya. Jika luas penampang elemen-elemen terkecil adalah dA1 , dA2 , dA3 \u2026. dAn dan jarak dari penampang ke garis X-X adalah y1 , y2 , y3 \u2026\u2026 yn , maka momen inersia penampang terhadap garis X-X dapat ditulis dengan persamaan berikut :<br \/>\n<strong>Ix = A.Y<sup>2<\/sup><\/strong><\/p>\n<p>Lihat gambar berikut<\/p>\n<p><a href=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image30.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; margin: 0px; padding-left: 0px; padding-right: 0px; display: inline; padding-top: 0px; border-width: 0px;\" title=\"image\" src=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image_thumb29.png\" alt=\"image\" width=\"265\" height=\"246\" border=\"0\" \/><\/a><\/p>\n<p>Gambar 5.2 Momen inersia terhadap sumbu x<\/p>\n<p><strong>b. Momen Inersia Terhadap Garis Sumbu Vertikal (Y-Y)<\/strong><br \/>\nJika luas penampang elemen-elemen terkecil adalah dA1 , dA2 , dA3 \u2026. dAn dan jarak dari penampang ke garis Y-Y adalah X1 , X2 , X3 \u2026\u2026 Xn , maka momen inersia penampang terhadap garis Y-Y dapat ditulis dengan persamaan berikut :<\/p>\n<p><strong>Iy = A.X<sup>2<\/sup><\/strong><\/p>\n<p>Lihat gambar halaman berikut<\/p>\n<p><a href=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image33.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; margin: 0px; padding-left: 0px; padding-right: 0px; display: inline; padding-top: 0px; border-width: 0px;\" title=\"image\" src=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image_thumb32.png\" alt=\"image\" width=\"282\" height=\"267\" border=\"0\" \/><\/a><\/p>\n<p>Gambar 5.3 Momen inersia terhadap sumbu y<\/p>\n<p>&nbsp;<\/p>\n<p><strong>c. Momen Inersia Polar<\/strong><br \/>\nMomen inersia polar yaitu momen inersia penampang terhadap suatu titik atau perpotongan garis sumbu X-X dan sumbu Y-Y, besarnya dihitung berdasarkan jumlah luas penampang-terkecil dikalikan dengan kwadrat jari jari atau jarak normal terhadap titik beratnya. Jika luas penampang elemenelemen terkecil adalah dA1 , dA2 , dA3 \u2026. dAn dan jarak dari penampang ke titik potong sumbu X,Y adalah r1 , r2 , r3 \u2026\u2026 rn , maka momen inersia polarnya dapat ditulis dengan persamaan berikut :<\/p>\n<p><strong>Ip = A.r<sup>2<\/sup><\/strong><\/p>\n<p><strong>L<\/strong>ihat gambar halaman berikut.<\/p>\n<p><a href=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image37.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; margin: 0px; padding-left: 0px; padding-right: 0px; display: inline; padding-top: 0px; border-width: 0px;\" title=\"image\" src=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image_thumb38.png\" alt=\"image\" width=\"275\" height=\"231\" border=\"0\" \/><\/a>\u00a0<a href=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image42.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; margin: 0px; padding-left: 0px; padding-right: 0px; display: inline; padding-top: 0px; border-width: 0px;\" title=\"image\" src=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image_thumb42.png\" alt=\"image\" width=\"196\" height=\"181\" border=\"0\" \/><\/a><\/p>\n<p>Gambar 5.4 Momen inersia polar<\/p>\n<p>&nbsp;<\/p>\n<p>Menurut Phitagoras :<br \/>\n<strong>r<sup>2<\/sup>= x<sup>2<\/sup>+y<sup>2<\/sup><\/strong><\/p>\n<p>Maka<br \/>\n<strong>Ix= Iz + A . a<sup>2<\/sup><\/strong><\/p>\n<p><a href=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image46.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; padding-left: 0px; padding-right: 0px; display: inline; padding-top: 0px; border-width: 0px;\" title=\"image\" src=\"http:\/\/www.tneutron.net\/mesin\/wp-content\/uploads\/sites\/4\/2015\/08\/image_thumb45.png\" alt=\"image\" width=\"322\" height=\"293\" border=\"0\" \/><\/a><\/p>\n<p>Gambar 5.5 Momen inersia suatu penampang<\/p>\n<p>Keterangan :<br \/>\nIz = Momen inersia penampang sendiri melalui titik beratnya<br \/>\nIx = Momen inersia terhadap suatu garis x-x dalam satuan cm4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>a. Momen Inersia Terhadap Sumbu Mendatar (X-X) Momen inersia penampang terhadap suatu garis yaitu jumlah luas penampang (elemen) terkecil dikalikan<\/p>\n","protected":false},"author":1,"featured_media":373,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","footnotes":""},"categories":[358],"tags":[369,373,374,370,371,372,378,376,377,375],"class_list":["post-377","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-fisika-teknik","tag-momen-inersia","tag-momen-inersia-balok","tag-momen-inersia-benda-tegar","tag-momen-inersia-bola-pejal","tag-momen-inersia-lingkaran","tag-momen-inersia-pdf","tag-momen-inersia-penampang","tag-momen-inersia-polar","tag-momen-inersia-roda","tag-momen-inersia-rumus"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Momen Inersia - TN Mesin<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.tneutron.net\/mesin\/momen-inersia\/\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Momen Inersia - TN Mesin\" \/>\n<meta name=\"twitter:description\" content=\"a. 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