{"id":33228,"date":"2025-04-24T12:57:45","date_gmt":"2025-04-24T09:27:45","guid":{"rendered":"https:\/\/caeassistant.com\/?p=33228"},"modified":"2026-06-05T23:57:21","modified_gmt":"2026-06-05T20:27:21","slug":"%e8%bd%ac%e5%8a%a8%e6%83%af%e9%87%8f-%e9%9d%a2%e7%a7%af%e7%9f%a9","status":"publish","type":"post","link":"https:\/\/dev.caeassistant.com\/zh\/%e5%8d%9a%e5%ae%a2\/%e8%bd%ac%e5%8a%a8%e6%83%af%e9%87%8f-%e9%9d%a2%e7%a7%af%e7%9f%a9\/","title":{"rendered":"\u8f6c\u52a8\u60ef\u91cf\u4e0e\u9762\u79ef\u77e9\u2014\u2014\u4f60\u9700\u8981\u77e5\u9053\u7684\u4e00\u5207\u5c3d\u5728\u4e00\u4efd\u7b80\u660e\u6307\u5357"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p class=\"\" data-start=\"349\" data-end=\"609\">\u4f60\u89c1\u8fc7\u82b1\u6837\u6ed1\u51b0\u8fd0\u52a8\u5458\u628a\u624b\u81c2\u6536\u62e2\u5230\u8eab\u4f53\u9644\u8fd1\uff0c\u7136\u540e\u52a0\u5feb\u65cb\u8f6c\u901f\u5ea6\u5417\uff1f\u5927\u591a\u6570\u4eba\u4f1a\u8bf4\uff0c,\u00a0<em data-start=\"456\" data-end=\"506\">\u201c\u54c7\uff01\u5979\u592a\u68d2\u4e86\uff01\u5979\u771f\u6f02\u4eae\uff01\u201d<\/em><br data-start=\"511\" data-end=\"514\" \/>\u4f46\u6211\u4eec\u5de5\u7a0b\u5e08\u8ba4\u4e3a\uff0c,\u00a0<em data-start=\"538\" data-end=\"567\">\u201c\u5979\u4e3a\u4ec0\u4e48\u8f6c\u5f97\u66f4\u5feb\u4e86\uff1f\u201d<\/em><br data-start=\"572\" data-end=\"575\" \/>\u7b54\u6848\uff1a\u00a0<strong data-start=\"587\" data-end=\"609\">\u8f6c\u52a8\u60ef\u91cf\u3002.\u00a0<\/strong><em>We refer it in this blog as \u201cMoI\u201d.<\/em><\/p>\n<p class=\"\" data-start=\"611\" data-end=\"828\">\u73b0\u5728\u60f3\u8c61\u4e00\u4e0b\uff0c\u4e00\u5ea7\u6865\u4e0a\u8f66\u6c34\u9a6c\u9f99\uff0c\u6324\u6ee1\u4e86\u8f66\u8f86\u3002\u5927\u591a\u6570\u4eba\u90fd\u5f88\u751f\u6c14\uff0c\u6309\u5587\u53ed\u3001\u558a\u53eb\u3002.<br data-start=\"725\" data-end=\"728\" \/>\u4f46\u6211\u4eec\u5de5\u7a0b\u5e08\u8fd8\u662f\u8981\u95ee\uff1a,\u00a0<em data-start=\"757\" data-end=\"794\">\u201c\u8fd9\u5ea7\u6865\u600e\u4e48\u8fd8\u80fd\u5c79\u7acb\u4e0d\u5012\uff1f\u201d<\/em><br data-start=\"794\" data-end=\"797\" \/>\u7b54\u6848\uff1a\u00a0<strong data-start=\"809\" data-end=\"828\">\u9762\u79ef\u77e9\u3002.\u00a0<\/strong><em>We refer it in this blog as \u201cMoA\u201d.<\/em><\/p>\n<p>\u8f6c\u52a8\u60ef\u91cf\u51b3\u5b9a\u4e86\u7269\u4f53\u62b5\u6297\u65cb\u8f6c\u8fd0\u52a8\u7684\u80fd\u529b\uff0c\u800c\u622a\u9762\u60ef\u91cf\u5219\u51b3\u5b9a\u4e86\u7ed3\u6784\u62b5\u6297\u5f2f\u66f2\u529b\u7684\u80fd\u529b\u3002\u5de5\u7a0b\u5e08\u8fd0\u7528\u8fd9\u4e9b\u539f\u7406\u6765\u8bbe\u8ba1\u5b89\u5168\u53ef\u9760\u7684\u7cfb\u7edf\uff0c\u4ece\u53d1\u52a8\u673a\u4e2d\u7684\u65cb\u8f6c\u8f74\u5230\u6469\u5929\u5927\u697c\u4e2d\u7684\u627f\u91cd\u6881\uff0c\u65e0\u6240\u4e0d\u5305\u3002.<\/p>\n<p>\u672c\u6587\u5c06\u89e3\u91ca\u8fd9\u4e9b\u6982\u5ff5\u3001\u5b83\u4eec\u7684\u6570\u5b66\u57fa\u7840\u4ee5\u53ca\u5b83\u4eec\u5728\u5de5\u7a0b\u4e2d\u7684\u5b9e\u9645\u5e94\u7528\u3002\u60a8\u8fd8\u5c06\u4e86\u89e3\u5e73\u884c\u8f74\u5b9a\u7406\uff0c\u8be5\u5b9a\u7406\u4f7f\u5de5\u7a0b\u5e08\u80fd\u591f\u5c06\u60ef\u6027\u8ba1\u7b97\u6269\u5c55\u5230\u65b0\u7684\u65cb\u8f6c\u8f74\uff0c\u5e76\u4e86\u89e3\u4e3a\u4ec0\u4e48\u7a7a\u5fc3\u8f74\u56e0\u5176\u6548\u7387\u548c\u5f3a\u5ea6\u800c\u88ab\u5e7f\u6cdb\u5e94\u7528\u3002.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Nancy-had-twirled-herself-first-place.gif\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" \/><\/p>\n<p style=\"text-align: center;\">GIF\u56fe\u7247\u7531POPSUGAR\u63d0\u4f9b\uff0c\u5185\u5bb9\u4e3a\u5357\u5e0c\u00b7\u514b\u91cc\u6839\u57281994\u5e74\u51ac\u5b63\u5965\u8fd0\u4f1a\u4e0a\u7684\u6bd4\u8d5b\u753b\u9762\u3002<br \/>\n\u6b64GIF\u52a8\u753b\u6839\u636e\u5408\u7406\u4f7f\u7528\u539f\u5219\u7528\u4e8e\u6559\u80b2\u76ee\u7684\uff0c\u65e8\u5728\u8bf4\u660e\u65cb\u8f6c\u8fd0\u52a8\u7684\u7269\u7406\u539f\u7406\u3002\u6240\u6709\u6743\u5229\u5f52\u5176\u5404\u81ea\u6240\u6709\u8005\u6240\u6709\u3002<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-33241\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/vd.jpg\" sizes=\"(max-width: 574px) 100vw, 574px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/vd.jpg 686w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/vd-300x169.jpg 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/vd-430x242.jpg 430w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/vd-62x35.jpg 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/vd-600x338.jpg 600w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/vd-150x84.jpg 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"574\" height=\"323\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\">\u6865\u4e0a\u4ea4\u901a\u62e5\u5835<\/p>\n<h2><img decoding=\"async\" class=\"aligncenter wp-image-33282\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia.png\" sizes=\"(max-width: 1062px) 100vw, 1062px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia.png 1342w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-300x112.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-1024x384.png 1024w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-430x161.png 430w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-768x288.png 768w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-62x23.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-600x225.png 600w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-725x272.png 725w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-150x56.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\u3001\u9762\u79ef\u60ef\u91cf\u548c\u6781\u60ef\u6027\u77e9\u7684\u6bd4\u8f83\" width=\"1062\" height=\"398\" \/><\/h2>\n<h2>What is a Moment of Inertia?<\/h2>\n<p>The moment of inertia which we refer it in this blog as \u201cMoI\u201d describes how strongly an object resists changes in its rotational motion. It depends on both the object\u2019s mass and how that mass is distributed relative to the axis of rotation.<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u82b1\u6837\u6ed1\u51b0\u8fd0\u52a8\u5458\u4e3a\u4f8b\uff1b\u5f53\u5979\u5c06\u53cc\u81c2\u6536\u62e2\u5230\u8eab\u4f53\u4e24\u4fa7\u65f6\uff0c\u5979\u56f4\u7ed5\u65cb\u8f6c\u8f74\u7684\u8d28\u91cf\u5206\u5e03\u4f1a\u66f4\u52a0\u96c6\u4e2d\u3002\u8fd9\u4f1a\u964d\u4f4e\u5979\u7684\u8f6c\u52a8\u60ef\u91cf\uff0c\u4f7f\u5979\u80fd\u591f\u65cb\u8f6c\u5f97\u66f4\u5feb\u3002\u4ee5\u4e0b\u516c\u5f0f\u89e3\u91ca\u4e86\u8fd9\u4e00\u8fc7\u7a0b\uff1a<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-33231\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-085859.png\" sizes=\"(max-width: 99px) 100vw, 99px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-085859.png 138w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-085859-62x48.png 62w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"99\" height=\"76\" \/><\/p>\n<p>\u5728\u54ea\u91cc\uff1a<\/p>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33232\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090446.png\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"23\" height=\"19\" \/>\u00a0\u662f\u89d2\u901f\u5ea6\uff08\u65cb\u8f6c\u901f\u5ea6\uff09\uff1a\u5f27\u5ea6\/\u79d2<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33233\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090457.png\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"21\" height=\"27\" \/>\u00a0\u89d2\u52a8\u91cf\uff1a\u5343\u514b\u00b7\u7c73<sup>2<\/sup>\/s<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-33234\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090511.png\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"15\" height=\"28\" \/>\u00a0\u662f MoI\uff08\u8d28\u91cf\u5206\u5e03\u60c5\u51b5\uff09\uff1a\u5343\u514b\u00b7\u7c73<sup>2<\/sup><\/li>\n<\/ul>\n<p>\u7531\u4e8e\u89d2\u52a8\u91cf\u5728\u53d7\u5230\u5916\u90e8\u626d\u77e9\u4f5c\u7528\u4e4b\u524d\u662f\u6052\u5b9a\u7684\uff0c\u56e0\u6b64\uff0c\u968f\u7740\u624b\u638c\u5f20\u5f00\uff0c\u60ef\u6027\u77e9\u589e\u5927\uff0c\u7ed3\u679c\u89d2\u901f\u5ea6\u51cf\u5c0f\u3002.<\/p>\n<p>\u8ba1\u7b97\u60ef\u6027\u77e9\u7684\u516c\u5f0f\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33235\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090646.png\" sizes=\"(max-width: 170px) 100vw, 170px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090646.png 212w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090646-62x28.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090646-150x67.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"170\" height=\"76\" \/><\/p>\n<p>\u5728\u54ea\u91cc\uff1a<\/p>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33236\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090754.png\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"37\" height=\"26\" \/>\u00a0\u662f\u6bcf\u4e2a\u70b9\u7684\u8d28\u91cf\u3002.<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33237\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090806.png\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"25\" height=\"28\" \/>\u00a0\u662f\u5404\u70b9\u5230\u5750\u6807\u8f74\u7684\u8ddd\u79bb\u3002.<\/li>\n<\/ul>\n<p>\u8be5\u91cf\u4e5f\u53ef\u4ee5\u7528\u79ef\u5206\u6765\u5b9a\u4e49\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33238\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090951.png\" sizes=\"(max-width: 170px) 100vw, 170px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090951.png 202w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090951-62x29.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-090951-150x71.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"170\" height=\"80\" \/><\/p>\n<p><strong>\u5355\u4f4d\uff1a<\/strong><\/p>\n<ul>\n<li><strong>\u8f6c\u52a8\u60ef\u91cf\uff08I\uff09\uff1a\u00a0<\/strong>\u5343\u514b\u00b7\u5e73\u65b9\u7c73<\/li>\n<\/ul>\n<h2><span id=\"2_What_is_a_Moment_of_Area\" class=\"ez-toc-section\"><\/span>What is a Moment of Area?<\/h2>\n<p>\u9762\u79ef\u77e9\uff08\u4e5f\u79f0\u622a\u9762\u4e8c\u6b21\u77e9\uff09\u51b3\u5b9a\u4e86\u7ed3\u6784\u62b5\u6297\u5f2f\u66f2\u6216\u53d8\u5f62\u7684\u80fd\u529b\u3002\u5b83\u662f\u5efa\u7b51\u65bd\u5de5\u4e2d\u7684\u5173\u952e\u56e0\u7d20\uff0c\u786e\u4fdd\u6881\u3001\u6865\u6881\u548c\u5176\u4ed6\u7ed3\u6784\u80fd\u591f\u6709\u6548\u5730\u627f\u53d7\u8377\u8f7d\u3002\u7ed5 x \u8f74\u5728 xy \u5750\u6807\u7cfb\u4e2d\u7684\u9762\u79ef\u77e9\u53ef\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33244\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-094133.png\" sizes=\"(max-width: 190px) 100vw, 190px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-094133.png 206w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-094133-62x26.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-094133-150x64.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"190\" height=\"81\" \/><\/p>\n<p>\u5bf9\u4e8e\u5bbd\u5ea6\u4e3a b\u3001\u9ad8\u5ea6\u4e3a h \u7684\u77e9\u5f62\u6881\uff0c\u8003\u8651\u8ddd\u4e2d\u6027\u8f74 y \u5904\u5bbd\u5ea6\u4e3a dx \u7684\u8584\u6761\u3002\u8be5\u8584\u6761\u7ed5\u5176\u5f62\u5fc3\u8f74\uff08x \u8f74\uff09\u7684\u622a\u9762\u60ef\u6027\u77e9\u4e3a\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33245\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rectangular-beam-cross-section.png\" sizes=\"(max-width: 271px) 100vw, 271px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rectangular-beam-cross-section.png 317w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rectangular-beam-cross-section-185x300.png 185w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rectangular-beam-cross-section-302x491.png 302w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rectangular-beam-cross-section-62x101.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rectangular-beam-cross-section-150x244.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"271\" height=\"441\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe1\uff1a\u00a0<em>\u77e9\u5f62\u6881\u622a\u9762<\/em><\/p>\n<p>\u00a0\u9762\u79ef\u5fae\u5206\u77e9\u4e3a\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33246\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095427.png\" sizes=\"(max-width: 172px) 100vw, 172px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095427.png 192w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095427-62x15.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095427-150x37.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"172\" height=\"42\" \/><\/p>\n<p>\u5176\u4e2d dA = bdy\u3002.<\/p>\n<p>\u5bf9\u77e9\u5f62\u7684\u6574\u4e2a\u9ad8\u5ea6\u8fdb\u884c\u79ef\u5206\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33247\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095557.png\" sizes=\"(max-width: 274px) 100vw, 274px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095557.png 342w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095557-300x111.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095557-62x23.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095557-150x56.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"274\" height=\"102\" \/><\/p>\n<p>\u901a\u8fc7\u6c42\u89e3\u8be5\u79ef\u5206\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33248\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095658.png\" sizes=\"(max-width: 127px) 100vw, 127px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095658.png 155w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095658-62x45.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-095658-150x108.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"127\" height=\"92\" \/><\/p>\n<p><strong>\u5355\u4f4d\uff1a<\/strong><\/p>\n<ul>\n<li><strong>\u9762\u79ef\u77e9\uff08I\uff09\uff1a\u00a0<em>\u7c73<sup>4<\/sup><\/em><\/strong><\/li>\n<\/ul>\n<p class=\"\" data-start=\"163\" data-end=\"346\">\u26a0\ufe0f\u00a0<strong data-start=\"166\" data-end=\"177\">\u8b66\u544a<\/strong>\u00a0\u26a0\ufe0f\uff1a\u8bf7\u52ff\u6df7\u6dc6\u00a0<em data-start=\"197\" data-end=\"216\">\u8f6c\u52a8\u60ef\u91cf<\/em>\u00a0\u548c\u00a0<em data-start=\"222\" data-end=\"238\">\u9762\u79ef\u77e9<\/em>\u00a0just because they both use the letter \u201cI\u201d. They are completely different concepts and have different units.<\/p>\n<p data-start=\"163\" data-end=\"346\">\u5728\u4e0b\u4e00\u5f20\u56fe\u4e2d\uff0c\u8ba1\u7b97\u4e86\u4e00\u4e9b\u6a2a\u622a\u9762\u7684\u9762\u79ef\u77e9\u3002.<\/p>\n<p data-start=\"163\" data-end=\"346\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33249 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections.png\" sizes=\"(max-width: 965px) 100vw, 965px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections.png 965w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections-300x239.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections-430x342.png 430w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections-768x611.png 768w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections-62x49.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections-600x478.png 600w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections-725x577.png 725w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/moment-of-area-for-different-cross-sections-150x119.png 150w\" alt=\"\u4e0d\u540c\u622a\u9762\u7684\u9762\u79ef\u77e9 \" width=\"965\" height=\"768\" \/><\/p>\n<p style=\"text-align: center;\" data-start=\"163\" data-end=\"346\">\u56fe2\uff1a\u00a0<em>\u4e0d\u540c\u622a\u9762\u7684\u9762\u79ef\u77e9<a href=\"https:\/\/www.structuralbasics.com\/moment-of-inertia-formulas\/\" target=\"_blank\" rel=\"nofollow noopener\">\u53c2\u8003<\/a>]<\/em><\/p>\n<p>\u60ef\u6027\u77e9 (MoI) \u548c\u4f5c\u7528\u529b\u77e9 (MoA) \u8fd9\u4e24\u4e2a\u539f\u7406\u5bf9\u4e8e\u8bbe\u8ba1\u7a33\u5b9a\u3001\u9ad8\u6548\u4e14\u575a\u56fa\u7684\u5de5\u7a0b\u7ed3\u6784\u81f3\u5173\u91cd\u8981\u3002\u5de5\u7a0b\u5e08\u4eec\u901a\u8fc7\u638c\u63e1\u8fd9\u4e9b\u6982\u5ff5\uff0c\u53ef\u4ee5\u5f00\u53d1\u51fa\u66f4\u5b89\u5168\u3001\u66f4\u9ad8\u6548\u7684\u7cfb\u7edf\uff0c\u4ece\u6469\u5929\u5927\u697c\u5230\u822a\u5929\u5668\uff0c\u65e0\u6240\u4e0d\u5305\u3002.<\/p>\n<h2><span id=\"3_The_Parallel_Axis_Theorem_Engineering_Versatility\" class=\"ez-toc-section\"><\/span>The Parallel Axis Theorem: Engineering Versatility<\/h2>\n<p class=\"\" data-start=\"173\" data-end=\"455\">\u8fd9\u00a0<strong data-start=\"177\" data-end=\"202\">\u5e73\u884c\u8f74\u5b9a\u7406<\/strong>, \u4e5f\u79f0\u4e3a\u00a0<strong data-start=\"220\" data-end=\"247\">\u60e0\u66f4\u65af-\u65af\u5766\u7eb3\u5b9a\u7406<\/strong>\u00a0\uff08\u4ee5\u514b\u91cc\u65af\u8482\u5b89\u00b7\u60e0\u66f4\u65af\u548c\u96c5\u5404\u5e03\u00b7\u65bd\u6cf0\u7eb3\u7684\u540d\u5b57\u547d\u540d\uff09\u662f\u8ba1\u7b97\u7269\u4f53\u62b5\u6297\u65cb\u8f6c\u6216\u5f2f\u66f2\u80fd\u529b\u7684\u6709\u7528\u5de5\u5177\u2014\u2014<strong data-start=\"377\" data-end=\"407\">\u4e0d\u4ec5\u4ec5\u662f\u4e2d\u5fc3\u9644\u8fd1<\/strong>, \u4f46\u662f\u5927\u7ea6\u00a0<strong data-start=\"420\" data-end=\"454\">any axis that\u2019s parallel to it<\/strong>.<\/p>\n<p class=\"\" data-start=\"457\" data-end=\"722\"><strong>\u5b83\u7684\u5de5\u4f5c\u539f\u7406\u5982\u4e0b\uff1a<\/strong><br data-start=\"476\" data-end=\"479\" \/>If you already know the moment of inertia (or second moment of area) around the object\u2019s center of gravity, and you know how far the new axis is from that center, this theorem lets you calculate the moment for the new axis using that distance.<\/p>\n<ul>\n<li><strong>\u9762\u79ef\u77e9\uff1a<\/strong><\/li>\n<\/ul>\n<p>If the axis is not aligned with the centroid, it\u2019s time to rely on the parallel axis theorem to obtain the moment of area:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33252\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-102144.png\" sizes=\"(max-width: 188px) 100vw, 188px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-102144.png 248w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-102144-62x15.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-102144-150x35.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"188\" height=\"44\" \/><\/p>\n<ul>\n<li>\n<ul>\n<li><strong>\u6211<sub>C<\/sub><\/strong>\u00a0\u662f\u9762\u79ef\u7ed5\u8d28\u5fc3\u8f74\u7684\u77e9\u3002.<\/li>\n<li><strong>\u4e00\u4e2a<\/strong>\u00a0\u662f\u6a2a\u622a\u9762\u79ef\u3002.<\/li>\n<li><strong>d<\/strong>\u00a0\u662f\u8d28\u5fc3\u8f74\u4e0e\u65b0\u8f74\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002.<\/li>\n<li><strong>\u6211<\/strong>\u00a0\u662f\u9762\u79ef\u7ed5\u65b0\u8f74\u7ebf\u7684\u77e9\u3002.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li><strong>\u8f6c\u52a8\u60ef\u91cf\uff1a<\/strong><\/li>\n<\/ul>\n<p>\u5e73\u884c\u8f74\u5b9a\u7406\u4e0d\u4ec5\u9002\u7528\u4e8e\u9762\u79ef\u77e9\uff0c\u4e5f\u53ef\u7528\u4e8e\u8ba1\u7b97\u7ed5\u5e73\u884c\u4e8e\u8d28\u5fc3\u8f74\u7684\u8f74\u7684\u60ef\u6027\u77e9\u3002\u8be5\u60ef\u6027\u77e9\u7684\u516c\u5f0f\u4e0e\u9762\u79ef\u77e9\u7684\u516c\u5f0f\u975e\u5e38\u76f8\u4f3c\uff0c\u53ea\u6709\u7ec6\u5fae\u5dee\u522b\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33254\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-103338.png\" sizes=\"(max-width: 211px) 100vw, 211px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-103338.png 266w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-103338-62x16.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-103338-150x38.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"211\" height=\"54\" \/><\/p>\n<ul>\n<li>\n<ul>\n<li><strong>\u6211<sub>C<\/sub><\/strong>\u00a0\u60ef\u6027\u77e9\u662f\u56f4\u7ed5\u8d28\u5fc3\u7684\u3002.<\/li>\n<li><strong>\u7c73<\/strong>\u00a0\u662f\u7269\u4f53\u7684\u8d28\u91cf\u3002.<\/li>\n<li><strong>d<\/strong>\u00a0\u662f\u4e24\u4e2a\u5e73\u884c\u8f74\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002.<\/li>\n<li><strong>\u6211<\/strong>\u00a0\u662f\u56f4\u7ed5\u65b0\u8f74\u7684\u60ef\u6027\u77e9\u3002.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u8be5\u5b9a\u7406\u6e90\u81ea\u7ecf\u5178\u529b\u5b66\uff0c\u7279\u522b\u662f\u521a\u4f53\u52a8\u529b\u5b66\u4e2d\u7684\u8f6c\u52a8\u60ef\u91cf\u6982\u5ff5\u3002\u5b83\u57fa\u4e8e\u4ee5\u4e0b\u539f\u7406\uff1a\u7269\u4f53\u7684\u8f6c\u52a8\u60ef\u91cf\u53d6\u51b3\u4e8e\u5176\u8d28\u91cf\u5206\u5e03\u548c\u65cb\u8f6c\u8f74\u7684\u4f4d\u7f6e\u3002.<\/p>\n<p>\u7531\u4e8e\u5927\u591a\u6570\u5de5\u7a0b\u7ed3\u6784\u548c\u90e8\u4ef6\u5e76\u975e\u59cb\u7ec8\u7ed5\u5176\u8d28\u5fc3\u8f74\u65cb\u8f6c\uff0c\u8be5\u5b9a\u7406\u63d0\u4f9b\u4e86\u4e00\u79cd\u5c06\u5df2\u77e5\u60ef\u6027\u503c\u63a8\u5e7f\u5230\u65b0\u7684\u65cb\u8f6c\u8f74\u7684\u7b80\u4fbf\u65b9\u6cd5\u3002\u9644\u52a0\u9879 md\u00b2 \u7528\u4e8e\u8868\u793a\u65cb\u8f6c\u8f74\u7684\u504f\u79fb\u3002.<\/p>\n<ul>\n<li><strong>\u5e73\u884c\u8f74\u5b9a\u7406\u7684\u91cd\u8981\u6027\uff1a<\/strong>\n<ul>\n<li>\u6881\u8bbe\u8ba1\u7684\u5173\u952e\uff1a\u7528\u4e8e\u8ba1\u7b97\u4e2d\u6027\u8f74\u4e0e\u5f62\u5fc3\u4e0d\u5bf9\u9f50\u65f6\u7684\u6b63\u786e\u622a\u9762\u5f2f\u77e9\u3002.<\/li>\n<li>T\u578b\u6881\u548c\u5de5\u5b57\u6881\u7684\u5f3a\u5ea6\u5206\u6790\uff1aT\u578b\u6881\u548c\u5de5\u5b57\u6881\u7b49\u7ed3\u6784\u6784\u4ef6\u7531\u591a\u4e2a\u8fde\u63a5\u90e8\u5206\u7ec4\u6210\u3002\u7531\u4e8e\u5b83\u4eec\u7684\u5f62\u5fc3\u8f74\u4e0e\u53c2\u8003\u8f74\u4e0d\u540c\uff0c\u5de5\u7a0b\u5e08\u5229\u7528\u8be5\u5b9a\u7406\u6765\u7cbe\u786e\u8ba1\u7b97\u5b83\u4eec\u7684\u6574\u4f53\u622a\u9762\u5f2f\u77e9\u3002.<\/li>\n<li>\u5728\u673a\u5668\u4eba\u548c\u673a\u68b0\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528\uff1a\u7528\u4e8e\u8ba1\u7b97\u7ed5\u4f4d\u79fb\u8f74\u65cb\u8f6c\u7684\u96f6\u4ef6\uff08\u4f8b\u5982\uff0c\u673a\u68b0\u81c2\u3001\u66f2\u8f74\u3001\u8fde\u6746\uff09\u7684\u8f6c\u52a8\u60ef\u91cf\uff0c\u4ece\u800c\u589e\u5f3a\u8fd0\u52a8\u63a7\u5236\u548c\u7a33\u5b9a\u6027\u3002.<\/li>\n<li>Crucial for Composite Sections: Helps calculate the overall resistance to bending in composite structures, such as T-beams, where multiple members contribute to the structure\u2019s stiffness.<\/li>\n<\/ul>\n<\/li>\n<li><strong>\u4f8b\u5b50\uff1a<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33255\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis.png\" sizes=\"(max-width: 789px) 100vw, 789px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis.png 1113w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis-300x121.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis-1024x414.png 1024w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis-430x174.png 430w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis-768x311.png 768w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis-62x25.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis-600x243.png 600w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis-725x293.png 725w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/rotational-rod-about-out-of-center-axis-150x61.png 150w\" alt=\"\u7ed5\u504f\u79bb\u4e2d\u5fc3\u8f74\u7684\u65cb\u8f6c\u6746\" width=\"789\" height=\"319\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 3\uff1a\u7ed5\u504f\u79bb\u4e2d\u5fc3\u8f74\u7684\u65cb\u8f6c\u6746<\/p>\n<p>\u5229\u7528\u5e73\u884c\u8f74\u5b9a\u7406\u6c42\u7ec6\u5747\u5300\u6746\u7ed5\u5176\u4e00\u7aef\u65cb\u8f6c\u65f6\u7684\u8f6c\u52a8\u60ef\u91cf\u3002\u6746\u7ed5\u5176\u8d28\u5fc3\u65cb\u8f6c\u65f6\u7684\u8f6c\u52a8\u60ef\u91cf\u4e3a\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33256\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-103913.png\" sizes=\"(max-width: 190px) 100vw, 190px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-103913.png 226w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-103913-62x31.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-103913-150x75.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"190\" height=\"95\" \/><\/p>\n<p>\u5728\u54ea\u91cc\uff1a<\/p>\n<ul>\n<li><strong>M<\/strong>\u00a0\u662f\u6746\u7684\u603b\u8d28\u91cf\u3002.<\/li>\n<li><strong>L<\/strong>\u00a0\u662f\u6746\u7684\u957f\u5ea6\u3002.\n<ul>\n<li><strong>\u7b2c\u4e00\u6b65\uff1a<\/strong>\u00a0\u786e\u5b9a\u65cb\u8f6c\u8f74\u4e0e\u7a7f\u8fc7\u7269\u4f53\u8d28\u5fc3\u7684\u5e73\u884c\u8f74\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u65cb\u8f6c\u8f74\u5df2\u4ece\u5176\u8d28\u5fc3\u79fb\u52a8\u4e86\u6746\u957f\u7684\u4e00\u534a\uff0c\u5373 L\/2 \u7684\u8ddd\u79bb\u3002.<\/li>\n<li><strong>\u6b65\u9aa4\u4e8c\uff1a\u00a0<\/strong>\u5229\u7528\u5e73\u884c\u8f74\u5b9a\u7406\u6c42\u51fa\u7269\u4f53\u7ed5\u65cb\u8f6c\u8f74\u7684\u8f6c\u52a8\u60ef\u91cf\u3002\u5c06\u5df2\u77e5\u7269\u4f53\u7ed5\u5176\u8d28\u5fc3\u7684\u8f6c\u52a8\u60ef\u91cf\u4ee3\u5165\u5e73\u884c\u8f74\u5b9a\u7406\uff0c\u5373\u53ef\u5f97\u5230\u7ed3\u679c\u3002.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33257\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104126.png\" sizes=\"(max-width: 282px) 100vw, 282px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104126.png 365w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104126-300x95.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104126-62x20.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104126-150x47.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"282\" height=\"89\" \/><\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4ee3\u5165 h \u7684\u6b63\u786e\u6570\u503c\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33258\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104214.png\" sizes=\"(max-width: 319px) 100vw, 319px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104214.png 400w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104214-300x89.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104214-62x18.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104214-150x44.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"319\" height=\"94\" \/><\/p>\n<p>\u8ba1\u7b97\u6307\u6570\u5f97\u51fa\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33259\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310.png\" sizes=\"(max-width: 625px) 100vw, 625px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310.png 777w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310-300x41.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310-430x59.png 430w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310-768x106.png 768w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310-62x9.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310-600x83.png 600w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310-725x100.png 725w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104310-150x21.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"625\" height=\"86\" \/><\/p>\n<p>\u8fdb\u884c\u52a0\u6cd5\u8fd0\u7b97\u5373\u53ef\u5f97\u5230\u7b54\u6848\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33260\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104401.png\" sizes=\"(max-width: 319px) 100vw, 319px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104401.png 400w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104401-300x81.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104401-62x17.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-104401-150x41.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"319\" height=\"86\" \/><\/p>\n<h2><strong>Polar Moment of Inertia<\/strong><\/h2>\n<p>\u8fd9\u00a0<strong data-start=\"360\" data-end=\"391\">\u6781\u60ef\u6027\u77e9\uff08J\uff09\uff0c,\u00a0<\/strong>which we will refer it as \u201cPMoI\u201d in this blog<strong data-start=\"360\" data-end=\"391\">,<\/strong>\u00a0\u662f\u6a2a\u622a\u9762\u7684\u51e0\u4f55\u5c5e\u6027\uff0c\u5b83\u8868\u793a\u9762\u79ef\u5982\u4f55\u56f4\u7ed5\u7ed9\u5b9a\u8f74\u7ebf\uff08\u901a\u5e38\u662f\u8f74\u7684\u4e2d\u5fc3\u8f74\u7ebf\uff09\u5206\u5e03\u3002\u5b83\u91cf\u5316\u4e86\u7ed3\u6784\u6784\u4ef6\u62b5\u6297\u626d\u8f6c\u7684\u80fd\u529b\u3002.<\/p>\n<p>It is the material\u2019s resistance to torsional (twisting) deformation \u2014 related to the shape of a cross-section, not mass. The polar moment of inertia is indeed a kind of second moment of area, just taken about a central (polar) axis, instead of a horizontal or vertical one. Don\u2019t confuse it with the mass moment of inertia, which uses mass elements instead of area.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33267\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-111159.png\" sizes=\"(max-width: 185px) 100vw, 185px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-111159.png 231w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-111159-62x31.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-111159-150x75.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"185\" height=\"93\" \/><\/p>\n<p class=\"\" data-start=\"632\" data-end=\"650\">\u5bf9\u4e8e\u5e38\u89c1\u5f62\u72b6\uff1a<\/p>\n<ul data-start=\"652\" data-end=\"925\">\n<li class=\"\" data-start=\"652\" data-end=\"715\">\n<p class=\"\" data-start=\"654\" data-end=\"679\"><strong data-start=\"654\" data-end=\"679\">\u5b9e\u5fc3\u5706\u8f74\uff1a<\/strong><\/p>\n<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33268\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112422.png\" sizes=\"(max-width: 172px) 100vw, 172px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112422.png 225w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112422-62x35.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112422-150x85.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"172\" height=\"98\" \/><\/p>\n<ul>\n<li><strong>\u7a7a\u5fc3\u5706\u8f74\uff08\u7ba1\uff09\uff1a<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33269\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532.png\" sizes=\"(max-width: 251px) 100vw, 251px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532.png 315w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532-300x89.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532-62x18.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532-150x44.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"251\" height=\"74\" \/><\/p>\n<p class=\"\" data-start=\"815\" data-end=\"821\">\u5728\u54ea\u91cc\uff1a<\/p>\n<ul data-start=\"824\" data-end=\"925\">\n<li class=\"\" data-start=\"824\" data-end=\"863\">\n<p class=\"\" data-start=\"826\" data-end=\"863\"><strong><span class=\"katex\"><span class=\"katex-mathml\">d<\/span><\/span><\/strong>\u00a0= \u5b9e\u5fc3\u8f74\u7684\u76f4\u5f84<\/p>\n<\/li>\n<li class=\"\" data-start=\"866\" data-end=\"894\">\n<p class=\"\" data-start=\"868\" data-end=\"894\"><span class=\"katex\"><strong><span class=\"katex-mathml\">d<sub>o<\/sub><\/span><\/strong><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0= \u5916\u5f84<\/p>\n<\/li>\n<li class=\"\" data-start=\"897\" data-end=\"925\">\n<p class=\"\" data-start=\"899\" data-end=\"925\"><strong><span class=\"katex\"><span class=\"katex-mathml\">d<sub>\u6211<\/sub><\/span><\/span><\/strong>= \u5185\u5f84<\/p>\n<\/li>\n<\/ul>\n<p data-start=\"932\" data-end=\"949\"><strong data-start=\"939\" data-end=\"949\">\u5355\u4f4d\uff1a<\/strong><\/p>\n<ul data-start=\"951\" data-end=\"1092\">\n<li class=\"\" data-start=\"951\" data-end=\"1015\">\n<p class=\"\" data-start=\"953\" data-end=\"968\"><strong data-start=\"953\" data-end=\"966\">\u56fd\u9645\u5355\u4f4d\u5236\uff1a<\/strong><\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u7c73<sup>4<\/sup>\u00a0\uff08\u7c73\uff09<sup>4<\/sup>)<\/span><\/span><\/span><\/li>\n<\/ul>\n<p>\u4f46\u662f\u6211\u4eec\u80fd\u5426\u4f7f\u7528\u5e73\u884c\u8f74\u6765\u8ba1\u7b97 PMoI\uff1f<\/p>\n<p>\u662f\u7684\uff0c\u5e73\u884c\u8f74\u5b9a\u7406\u53ef\u4ee5\u5e94\u7528\u4e8ePMoI\u2014\u2014\u4f46\u8fd9\u9700\u8981\u5c06\u5176\u5e94\u7528\u4e8e\u4e24\u4e2a\u76f8\u4e92\u5782\u76f4\u7684\u5e73\u9762\u9762\u79ef\u77e9\uff08I\uff09\u3002<sub>x<\/sub>\u00a0\u6211<sub>\u662f<\/sub>) about the same point. Let\u2019s clear that out.<\/p>\n<p>\u5982\u679c\u4f60\u77e5\u9053\u00a0<strong data-start=\"301\" data-end=\"354\">\u7ed5\u8d28\u5fc3\u8f74\u7684\u6781\u60ef\u6027\u77e9<\/strong>\u00a0\u5bf9\u4e8e\u67d0\u4e2a\u5f62\u72b6\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u65b9\u6cd5\u627e\u5230\u5b83\u7ed5\u4efb\u610f\u5e73\u884c\u8f74\u7684\u504f\u5fc3\u7387\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33271\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-115344.png\" sizes=\"(max-width: 220px) 100vw, 220px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-115344.png 270w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-115344-62x17.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-115344-150x42.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"220\" height=\"61\" \/><\/p>\n<p class=\"\" data-start=\"465\" data-end=\"471\">\u5728\u54ea\u91cc\uff1a<\/p>\n<ul data-start=\"473\" data-end=\"725\">\n<li class=\"\" data-start=\"473\" data-end=\"547\">\n<p class=\"\" data-start=\"475\" data-end=\"547\"><span class=\"katex\"><span class=\"katex-mathml\"><strong>J<sub>o<\/sub><\/strong><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0= \u5173\u4e8e\u65b0\u8f74\u7ebf\u7684 PMoI\uff08\u4e0d\u662f\u8d28\u5fc3\uff09<\/p>\n<\/li>\n<li class=\"\" data-start=\"548\" data-end=\"621\">\n<p class=\"\" data-start=\"550\" data-end=\"621\"><span class=\"katex\"><span class=\"katex-mathml\"><strong>J<sub>C<\/sub><\/strong><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0= \u5173\u4e8e\u8d28\u5fc3\uff08\u4e2d\u5fc3\uff09\u8f74\u7684 PMoI<\/p>\n<\/li>\n<li class=\"\" data-start=\"622\" data-end=\"659\">\n<p class=\"\" data-start=\"624\" data-end=\"659\"><strong><span class=\"katex\"><span class=\"katex-mathml\">\u4e00\u4e2a<\/span><\/span>\u00a0<\/strong>\u6a2a\u622a\u9762\u9762\u79ef<\/p>\n<\/li>\n<li class=\"\" data-start=\"660\" data-end=\"725\">\n<p class=\"\" data-start=\"662\" data-end=\"725\"><strong><span class=\"katex\"><span class=\"katex-mathml\">d<\/span><\/span>\u00a0<\/strong>= \u8d28\u5fc3\u8f74\u4e0e\u65b0\u8f74\u4e4b\u95f4\u7684\u8ddd\u79bb<\/p>\n<\/li>\n<\/ul>\n<p>\u4f46\u8fd9\u662f\u5982\u4f55\u6309\u7167\u6211\u4eec\u4e4b\u524d\u6240\u8bf4\u7684\u8fd0\u4f5c\u65b9\u5f0f\u8fdb\u884c\u7684\u5462\uff1f<\/p>\n<p class=\"\" data-start=\"756\" data-end=\"864\">\u8bb0\u4f4f\uff0c\u6781\u60ef\u6027\u77e9\u4e0e\u2026\u2026\u6709\u5173\u00a0<strong data-start=\"808\" data-end=\"816\">\u4e24\u4e2a\u90fd<\/strong>\u00a0\u5173\u4e8e x \u8f74\u548c y \u8f74\u7684\u8f6c\u52a8\u60ef\u91cf\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33272\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-115750.png\" sizes=\"(max-width: 186px) 100vw, 186px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-115750.png 210w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-115750-62x18.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-115750-150x43.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"186\" height=\"53\" \/><\/p>\n<p>\u5728\u54ea\u91cc\uff1a<\/p>\n<ul>\n<li><strong>\u6211<sub>x<\/sub><\/strong>\u00a0\u662f\u5173\u4e8e x \u8f74\u7684\u9762\u79ef\u4e8c\u6b21\u77e9<\/li>\n<li><strong>\u6211<sub>\u662f<\/sub><\/strong>\u00a0\u662f\u9762\u79ef\u5173\u4e8ey\u8f74\u7684\u4e8c\u9636\u77e9<\/li>\n<\/ul>\n<p class=\"\" data-start=\"887\" data-end=\"934\">\u56e0\u6b64\uff0c\u5bf9\u6bcf\u4e00\u9879\u5e94\u7528\u5e73\u884c\u8f74\u5b9a\u7406\uff1a<\/p>\n<p data-start=\"887\" data-end=\"934\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33273\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120120.png\" sizes=\"(max-width: 319px) 100vw, 319px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120120.png 405w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120120-300x143.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120120-62x30.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120120-150x71.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"319\" height=\"152\" \/><\/p>\n<p data-start=\"887\" data-end=\"934\">\u7136\u540e\uff1a<\/p>\n<p data-start=\"887\" data-end=\"934\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33274\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120557.png\" sizes=\"(max-width: 456px) 100vw, 456px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120557.png 566w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120557-300x98.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120557-430x141.png 430w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120557-62x20.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120557-150x49.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"456\" height=\"149\" \/><\/p>\n<p>\u5728\u54ea\u91cc\uff1a<\/p>\n<ul>\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33275\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120728.png\" sizes=\"(max-width: 136px) 100vw, 136px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120728.png 240w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120728-62x23.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-120728-150x56.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"136\" height=\"51\" \/>\u200b\u200b\u00a0is the distance from the centroid to the new axis<\/li>\n<li>A \u662f\u8be5\u56fe\u5f62\u7684\u9762\u79ef<\/li>\n<\/ul>\n<h2>Shapes Matter; Hollow Shaft: A Closer Look at Design<\/h2>\n<p>\u4e0d\u540c\u7684\u7ed3\u6784\u5f62\u72b6\u5177\u6709\u4e0d\u540c\u7684\u622a\u9762\u60ef\u6027\u77e9\u548c\u6781\u60ef\u6027\u77e9\uff0c\u5206\u522b\u5f71\u54cd\u5176\u6297\u5f2f\u548c\u6297\u626d\u6027\u80fd\u3002\u7a7a\u5fc3\u8f74\u5c31\u662f\u4e00\u4e2a\u5f88\u597d\u7684\u4f8b\u5b50\u2014\u2014\u5b83\u7684\u5f62\u72b6\u65e2\u80fd\u63d0\u9ad8\u5f3a\u5ea6\uff0c\u53c8\u80fd\u51cf\u8f7b\u91cd\u91cf\u3002.<\/p>\n<ul>\n<li><strong>\u4e3a\u4ec0\u4e48\u8981\u4f7f\u7528\u7a7a\u5fc3\u8f74\uff1f<\/strong><\/li>\n<\/ul>\n<p>\u7a7a\u5fc3\u8f74\u56e0\u5176\u9ad8\u5f3a\u5ea6\u91cd\u91cf\u6bd4\u800c\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5de5\u7a0b\u9886\u57df\u3002\u4e0e\u5b9e\u5fc3\u8f74\u76f8\u6bd4\uff0c\u5b83\u4eec\u5177\u6709\u4ee5\u4e0b\u4f18\u70b9\uff1a<\/p>\n<ul>\n<li>\u7528\u6599\u66f4\u5c11\uff0c\u6297\u626d\u6027\u80fd\u66f4\u597d\u3002.<\/li>\n<li>\u91cd\u91cf\u66f4\u8f7b\uff0c\u4f7f\u5176\u6210\u4e3a\u822a\u7a7a\u822a\u5929\u548c\u6c7d\u8f66\u5e94\u7528\u7684\u7406\u60f3\u9009\u62e9\u3002.<\/li>\n<li>\u901a\u8fc7\u51cf\u5c11\u65cb\u8f6c\u7cfb\u7edf\u4e2d\u4e0d\u5fc5\u8981\u7684\u8d28\u91cf\u6765\u63d0\u9ad8\u80fd\u6e90\u6548\u7387\u3002.<\/li>\n<\/ul>\n<p>\u7a7a\u5fc3\u5706\u5f62\u622a\u9762\u7684\u60ef\u6027\u77e9\u548c\u8f6c\u52a8\u60ef\u91cf\u5206\u522b\u7531\u4e0b\u5f0f\u7ed9\u51fa\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33269\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532.png\" sizes=\"(max-width: 251px) 100vw, 251px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532.png 315w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532-300x89.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532-62x18.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-112532-150x44.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"251\" height=\"74\" \/><\/p>\n<p class=\"\" data-start=\"815\" data-end=\"821\">\u5728\u54ea\u91cc\uff1a<\/p>\n<ul data-start=\"824\" data-end=\"925\">\n<li class=\"\" data-start=\"824\" data-end=\"863\">\n<p class=\"\" data-start=\"826\" data-end=\"863\"><strong><span class=\"katex\"><span class=\"katex-mathml\">d<\/span><\/span><\/strong>\u00a0= \u5b9e\u5fc3\u8f74\u7684\u76f4\u5f84<\/p>\n<\/li>\n<li class=\"\" data-start=\"866\" data-end=\"894\">\n<p class=\"\" data-start=\"868\" data-end=\"894\"><span class=\"katex\"><strong><span class=\"katex-mathml\">d<sub>o<\/sub><\/span><\/strong><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0= \u5916\u5f84<\/p>\n<\/li>\n<li class=\"\" data-start=\"897\" data-end=\"925\">\n<p class=\"\" data-start=\"899\" data-end=\"925\"><strong><span class=\"katex\"><span class=\"katex-mathml\">d<sub>\u6211<\/sub><\/span><\/span><\/strong>= \u5185\u5f84<\/p>\n<\/li>\n<\/ul>\n<p>\u8be5\u65b9\u7a0b\u8868\u660e\uff0c\u5373\u4f7f\u5916\u5f84\u7565\u5fae\u589e\u52a0\uff0c\u4e5f\u80fd\u663e\u8457\u63d0\u9ad8\u8f74\u7684\u521a\u5ea6\u3002\u8fd9\u662f\u56e0\u4e3a\u622a\u9762\u4e8c\u6b21\u77e9\uff08\u51b3\u5b9a\u6297\u5f2f\u6027\u80fd\uff09\u548c\u6781\u60ef\u6027\u77e9\uff08\u51b3\u5b9a\u6297\u626d\u6027\u80fd\uff09\u5747\u4e0e\u76f4\u5f84\u7684\u56db\u6b21\u65b9\u6210\u6b63\u6bd4\u3002\u56e0\u6b64\uff0c\u7a7a\u5fc3\u8f74\u53ef\u4ee5\u5728\u4fdd\u6301\u9ad8\u521a\u5ea6\u7684\u540c\u65f6\u51cf\u5c11\u6750\u6599\u7528\u91cf\uff0c\u4f7f\u5176\u80fd\u591f\u6709\u6548\u5730\u62b5\u6297\u5f2f\u66f2\u548c\u626d\u8f6c\u529b\u3002.<\/p>\n<ul>\n<li><strong>\u529b\u5982\u4f55\u5f71\u54cd\u7a7a\u5fc3\u8f74<\/strong><\/li>\n<\/ul>\n<p>\u4e0b\u56fe\u5c55\u793a\u4e86\u4f5c\u7528\u5728\u7a7a\u5fc3\u8f74\u4e0a\u7684\u5404\u79cd\u529b\uff0c\u4ee5\u53ca\u5b83\u4eec\u5982\u4f55\u5f71\u54cd\u7a7a\u5fc3\u8f74\u7684\u60ef\u6027\u77e9\u548c\u622a\u9762\u60ef\u6027\u77e9\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33278\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions.png\" sizes=\"(max-width: 875px) 100vw, 875px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions.png 925w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions-300x150.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions-430x215.png 430w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions-768x384.png 768w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions-62x31.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions-600x300.png 600w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions-725x363.png 725w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Hollow-shaft-under-different-load-conditions-150x75.png 150w\" alt=\"\u4e0d\u540c\u8f7d\u8377\u6761\u4ef6\u4e0b\u7684\u7a7a\u5fc3\u8f74\" width=\"875\" height=\"438\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 4\uff1a\u4e0d\u540c\u8f7d\u8377\u6761\u4ef6\u4e0b\u7684\u7a7a\u5fc3\u8f74 [<a href=\"https:\/\/www.sciencedirect.com\/topics\/engineering\/hollow-shaft\" target=\"_blank\" rel=\"nofollow noopener\">\u53c2\u8003<\/a>]<\/p>\n<div class=\"vc_row wpb_row vc_row-fluid\">\n<div class=\"wpb_column vc_column_container vc_col-sm-12\">\n<div class=\"vc_column-inner\">\n<div class=\"wpb_wrapper\">\n<div class=\"wpb_text_column wpb_content_element\">\n<div class=\"wpb_wrapper\">\n<ul>\n<li><strong>\u8f74\u5411\u8f7d\u8377\uff1a<\/strong>\u00a0\u6cbf\u8f74\u957f\u65b9\u5411\u4f5c\u7528\u7684\u529b\uff0c\u5f71\u54cd\u7a33\u5b9a\u6027\u548c\u6297\u5c48\u66f2\u80fd\u529b\u3002.<\/li>\n<li><strong>\u626d\u8f6c\u8f7d\u8377\uff1a<\/strong>\u00a0\u626d\u8f6c\u529b\u5f15\u8d77\u89d2\u5ea6\u53d8\u5f62\uff0c\u8fd9\u79cd\u53d8\u5f62\u53d7\u5230\u6781\u60ef\u6027\u77e9 J \u7684\u62b5\u6297\u3002.<\/li>\n<li><strong>\u6a2a\u5411\u8f7d\u8377\u548c\u5f2f\u77e9\uff1a<\/strong>\u00a0\u5782\u76f4\u4e8e\u8f74\u65bd\u52a0\u7684\u529b\u4f1a\u4ea7\u751f\u5f2f\u77e9\uff0c\u7531\u622a\u9762\u4e8c\u6b21\u77e9\uff08\u622a\u9762\u77e9\uff09\u62b5\u6297\u3002.<\/li>\n<li><strong>\u5f2f\u77e9\u5f15\u8d77\u7684\u6320\u5ea6\uff1a\u00a0<\/strong>\u6881\u6216\u8f74\u5728\u5f2f\u66f2\u4f5c\u7528\u4e0b\u7684\u6320\u5ea6\uff08\u03b4\uff09\u53d7\u5176\u622a\u9762\u60ef\u6027\u77e9\u7684\u5f71\u54cd\uff0c\u5173\u7cfb\u5f0f\u5982\u4e0b\uff1a<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33279\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-124207.png\" sizes=\"(max-width: 132px) 100vw, 132px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-124207.png 152w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-124207-62x43.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-124207-150x105.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"132\" height=\"92\" \/><\/p>\n<p>\u5728\u54ea\u91cc\uff1a<\/p>\n<ul>\n<li><strong>F<\/strong>\u00a0\u65bd\u52a0\u7684\u529b\uff08\u725b\u987f\uff09<\/li>\n<li><strong>L<\/strong>\u00a0\u8f74\u7684\u957f\u5ea6\uff08\u7c73\uff09<\/li>\n<li><strong>E<\/strong>\u00a0\u662f\u6768\u6c0f\u6a21\u91cf\uff08Pa\uff09<\/li>\n<li><strong>\u6211<\/strong>\u00a0\u662f\u9762\u79ef\u77e9\uff08m\u00b2\uff09<sup>4<\/sup>)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><strong>\u626d\u8f6c\u5f15\u8d77\u7684\u626d\u66f2\uff1a\u00a0<\/strong>\u8f74\u5728\u626d\u77e9 T \u4f5c\u7528\u4e0b\u7684\u626d\u8f6c\u89d2 \u03b8 \u7531\u4e0b\u5f0f\u7ed9\u51fa\uff1a<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-33280\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-124417.png\" sizes=\"(max-width: 123px) 100vw, 123px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-124417.png 136w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Screenshot-2025-04-23-124417-62x48.png 62w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\" width=\"123\" height=\"96\" \/><\/p>\n<p>\u5728\u54ea\u91cc\uff1a<\/p>\n<ul>\n<li><strong>T<\/strong>\u00a0\u65bd\u52a0\u626d\u77e9\uff08N\u00b7m\uff09<\/li>\n<li><strong>L<\/strong>\u00a0\u8f74\u957f\uff08\u7c73\uff09<\/li>\n<li><strong>G<\/strong>\u00a0\u526a\u5207\u6a21\u91cf\uff08Pa\uff09<\/li>\n<li><strong>J<\/strong>\u00a0\u662f\u6781\u60ef\u6027\u77e9\uff08m\uff09<sup>4<\/sup>)<\/li>\n<\/ul>\n<p>\u60ef\u6027\u77e9 (MoI) \u548c\u6297\u5f2f\u77e9 (MoA) \u5b9a\u4e49\u4e86\u7ed3\u6784\u62b5\u6297\u626d\u8f6c\u529b\u548c\u5f2f\u66f2\u529b\u7684\u80fd\u529b\u3002\u7a7a\u5fc3\u8f74\u5728\u6700\u5927\u9650\u5ea6\u53d1\u6325\u8fd9\u4e9b\u6027\u80fd\u7684\u540c\u65f6\u8fd8\u80fd\u51cf\u8f7b\u91cd\u91cf\uff0c\u4f7f\u5176\u6210\u4e3a\u73b0\u4ee3\u673a\u68b0\u548c\u7ed3\u6784\u5de5\u7a0b\u4e2d\u4e0d\u53ef\u6216\u7f3a\u7684\u4e00\u90e8\u5206\u3002.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"vc_row wpb_row vc_row-fluid\">\n<div class=\"wpb_column vc_column_container vc_col-sm-12\">\n<div class=\"vc_column-inner\">\n<div class=\"wpb_wrapper\">\n<div class=\"wpb_text_column wpb_content_element\">\n<div class=\"wpb_wrapper\">\n<h2><span id=\"6_Conclusion\" class=\"ez-toc-section\"><\/span>\u7ed3\u8bba<\/h2>\n<p>\u603b\u4e4b\uff0c\u5728\u4e0b\u8868\u4e2d\uff0c\u60a8\u53ef\u4ee5\u89c2\u5bdf\u5230\u8f6c\u52a8\u60ef\u91cf\u4e0e\u6781\u8f6c\u52a8\u60ef\u91cf\u4e0e\u9762\u79ef\u77e9\u4e4b\u95f4\u7684\u6bd4\u8f83\u3002.<\/p>\n<h2><img decoding=\"async\" class=\"aligncenter wp-image-33282\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia.png\" sizes=\"(max-width: 1062px) 100vw, 1062px\" srcset=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia.png 1342w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-300x112.png 300w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-1024x384.png 1024w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-430x161.png 430w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-768x288.png 768w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-62x23.png 62w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-600x225.png 600w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-725x272.png 725w, https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/04\/Moment-of-Inertia-VS-Moment-of-Area-VS-Polar-moment-of-inertia-150x56.png 150w\" alt=\"\u8f6c\u52a8\u60ef\u91cf\u3001\u9762\u79ef\u60ef\u91cf\u548c\u6781\u60ef\u6027\u77e9\u7684\u6bd4\u8f83\" width=\"1062\" height=\"398\" \/><\/h2>\n<\/div>\n<\/div>\n<div class=\"wpb_text_column wpb_content_element\">\n<div class=\"wpb_wrapper\">\n<p><em>\u672c\u535a\u5ba2\u4f5c\u8005\uff1a\u00a0<strong><span class=\"wixui-rich-text__text\"><span class=\"color_11 wixui-rich-text__text\">\u963f\u6bd4\u7eb3\u592b\u00b7\u5766\u514b\u8428\u83b1\u3002.\u00a0<\/span><\/span><\/strong><\/em><\/p>\n<p><strong>\u4f5c\u8005\u7b80\u4ecb\uff1a<\/strong>\u00a0Abhinav Tanksale \u662f\u4e00\u4f4d CAE \u5206\u6790\u5e08\uff0c\u4e5f\u662f\u4e00\u4f4d\u5145\u6ee1\u70ed\u60c5\u7684\u535a\u4e3b\uff0c\u4ed6\u521b\u7acb\u4e86\u00a0<a href=\"https:\/\/www.myphysicscafe.com\/\" target=\"_blank\" rel=\"noopener nofollow\"><em data-start=\"239\" data-end=\"256\">\u6211\u7684\u7269\u7406\u5496\u5561\u9986<\/em><\/a>\u00a0to help engineers strengthen their grasp on fundamental concepts. Drawing from his own experiences in the industry, he understands the challenges professionals face when the basics aren\u2019t solid. Through his platform, Abhinav delivers clear, practical content designed to build real competence in the technical domain. His philosophy is simple yet powerful:\u00a0<em data-start=\"614\" data-end=\"686\">\u4e13\u4e1a\u6280\u80fd\u662f\u6301\u7eed\u8fd0\u7528\u57fa\u672c\u529f\u7684\u81ea\u7136\u7ed3\u679c\u3002<\/em>.<\/p>\n<\/div>\n<\/div>\n<div class=\"wpb_text_column wpb_content_element\">\n<div class=\"wpb_wrapper\">\n<p>\u8fd9\u00a0<a href=\"https:\/\/caeassistant.com\/\" target=\"_blank\" rel=\"noopener\">CAE \u52a9\u624b<\/a>\u00a0\u6211\u4eec\u81f4\u529b\u4e8e\u6ee1\u8db3\u60a8\u6240\u6709\u7684 CAE \u9700\u6c42\uff0c\u60a8\u7684\u53cd\u9988\u5bf9\u6211\u4eec\u5b9e\u73b0\u8fd9\u4e00\u76ee\u6807\u81f3\u5173\u91cd\u8981\u3002\u5982\u679c\u60a8\u6709\u4efb\u4f55\u7591\u95ee\u6216\u9047\u5230\u4efb\u4f55\u95ee\u9898\uff0c\u8bf7\u968f\u65f6\u901a\u8fc7\u6211\u4eec\u7684\u793e\u4ea4\u5a92\u4f53\u8d26\u53f7\uff08\u5305\u62ec WhatsApp\uff09\u4e0e\u6211\u4eec\u8054\u7cfb\u3002.<\/p>\n<p>\u6d4f\u89c8\u6211\u4eec\u5185\u5bb9\u5168\u9762\u7684 Abaqus \u6559\u7a0b\u9875\u9762\uff0c\u5176\u4e2d\u5305\u542b\u514d\u8d39\u7684 PDF \u6307\u5357\u548c\u9002\u5408\u6240\u6709\u6280\u80fd\u6c34\u5e73\u7684\u8be6\u7ec6\u89c6\u9891\u3002\u63a2\u7d22\u514d\u8d39\u548c\u4ed8\u8d39\u5957\u9910\uff0c\u4ee5\u53ca\u9ad8\u6548\u638c\u63e1 Abaqus \u7684\u5fc5\u5907\u4fe1\u606f\u3002\u7acb\u5373\u5f00\u542f\u60a8\u7684 Abaqus \u5b66\u4e60\u4e4b\u65c5\uff01\u00a0<a href=\"https:\/\/caeassistant.com\/free-abaqus-tutorial-training-video\/\" target=\"_blank\" rel=\"noopener\">Abaqus\u6559\u7a0b<\/a>\u00a0\u73b0\u5728\uff01<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Have you ever seen a figure skater pull her arms close to her body and spin faster? Most people would say,\u00a0\u201cWow! How amazing she is! How beautiful she is!\u201dBut we engineers think,\u00a0\u201cWhy does she spin faster?\u201dThe answer:\u00a0Moment of Inertia.\u00a0We refer it in this blog as \u201cMoI\u201d. Now imagine a bridge under heavy traffic, packed with [&hellip;]<\/p>","protected":false},"author":1099,"featured_media":34026,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[67],"tags":[],"class_list":["post-33228","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog"],"_links":{"self":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/33228","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/users\/1099"}],"replies":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/comments?post=33228"}],"version-history":[{"count":2,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/33228\/revisions"}],"predecessor-version":[{"id":49318,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/33228\/revisions\/49318"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/media\/34026"}],"wp:attachment":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/media?parent=33228"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/categories?post=33228"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/tags?post=33228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}