{"id":21267,"date":"2023-05-25T14:40:06","date_gmt":"2023-05-25T06:40:06","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=21267"},"modified":"2026-02-15T08:14:44","modified_gmt":"2026-02-15T00:14:44","slug":"csi-oapi%e7%bc%96%e7%a8%8b-csi-oapi-ex2-%e4%bc%b8%e8%87%82%e6%a1%81%e6%9e%b6%e5%87%a0%e4%bd%95%e4%bc%98%e5%8c%96-geometric-optimization-of-outrigger-truss","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=21267","title":{"rendered":"[\u4e8c\u6b21\u5f00\u53d1] CSI OAPI EX2: \u57fa\u4e8e\u865a\u529f\u539f\u7406\u7684\u4f38\u81c2\u6841\u67b6\u51e0\u4f55\u4f18\u5316 [Geometric optimization of outrigger truss based on the principle of virtual work]"},"content":{"rendered":"<p><script id=\"MathJax-script\" src=\"http:\/\/www.jdcui.com\/wp-content\/MathJax_3_1_2\/MathJax-master\/es5\/tex-mml-chtml.js\" async=\"\"><\/script><\/p>\n<p><span style=\"color: #ff00ff; background-color: #ccffcc;\"><strong>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\u3001\u521b\u65b0\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p>CSI API\u7f16\u7a0b\u8bad\u7ec3\u7b2c\u4e8c\u8bfe\uff0c\u8fd9\u6b21\u505a\u4e00\u4e2a\u57fa\u4e8e\u865a\u529f\u539f\u7406\u7684\u4f38\u81c2\u6841\u67b6\u51e0\u4f55\u4f18\u5316\uff0c\u4e3b\u8981\u8bad\u7ec3\u5982\u4f55\u901a\u8fc7\u7f16\u7a0b\u63a7\u5236SAP2000\u4fee\u6539\u8282\u70b9\u4f4d\u7f6e\uff0c\u81ea\u52a8\u63d0\u4ea4\u8ba1\u7b97\u5206\u6790\uff0c\u5e76\u63d0\u53d6\u6784\u4ef6\u7684\u5185\u529b\u7b49\u3002<\/p>\n<p>\u5bf9\u4e8e\u6841\u67b6\u7ed3\u6784\uff0c\u6839\u636e\u865a\u529f\u539f\u7406\uff0c\u7ed3\u5408\u5355\u4f4d\u8377\u8f7d\u6cd5\u53ef\u77e5\uff0c\u7ed3\u6784\u4efb\u610f\u4e00\u70b9\u5728\u6307\u5b9a\u65b9\u5411\u7684\u4f4d\u79fb\u53ef\u6309\u4ee5\u4e0b\u516c\u5f0f\u8868\u793a\uff1a<\/p>\n<p>$${\\Delta = \\sum {\\int {\\frac{{n{F_N}}}{{EA}}} } {\\rm{ds}} = \\sum {\\frac{{n{F_N}L}}{{EA}}} }$$<\/p>\n<p>\u5176\u4e2d\uff0c\\(n\\)\u4e3a\u6746\u4ef6\u7684\u865a\u62df\u8f74\u529b\uff0c\\({F_N}\\)\u4e3a\u6746\u4ef6\u7684\u771f\u5b9e\u8f74\u529b\uff0c\\(E\\)\u4e3a\u6746\u4ef6\u7684\u5f39\u6027\u6a21\u91cf\uff0c\\(A\\)\u4e3a\u6746\u4ef6\u7684\u622a\u9762\u9762\u79ef\uff0c\\(L\\)\u4e3a\u6746\u4ef6\u7684\u957f\u5ea6\u3002<\/p>\n<p>\u6839\u636e<strong>Baker<\/strong>\u7684\u7814\u7a76\u53ef\u77e5\uff0c\u5bf9\u4e8e\u9759\u5b9a\u6841\u67b6\u7ed3\u6784\uff0c\u5404\u6746\u4ef6\u5904\u4e8e\u7b49\u5e94\u529b\u72b6\u6001\u65f6\uff0c\u7ed3\u6784\u6746\u4ef6\u662f\u6700\u4f18\u7684\u3002\u8fd9\u4e2a\u6700\u4f18\u8bf4\u7684\u662f\uff0c\u5bf9\u4e8e\u7ed9\u5b9a\u6320\u5ea6\uff0c\u5f53\u6240\u6709\u6746\u4ef6\u5747\u5904\u4e8e\u7b49\u5e94\u529b\u72b6\u6001\u65f6\uff0c\u6240\u9700\u7ed3\u6784\u6750\u6599\u7528\u91cf\u6700\u5c0f\uff1b\u6216\u8005\u8bf4\u5bf9\u4e8e\u7ed9\u5b9a\u6750\u6599\u7528\u91cf\u7684\u7ed3\u6784\uff0c\u5f53\u6240\u6709\u6746\u4ef6\u5747\u5904\u4e8e\u7b49\u5e94\u529b\u72b6\u6001\u65f6\uff0c\u7ed3\u6784\u6320\u5ea6\u6700\u5c0f\u3002<\/p>\n<p>\u5047\u8bbe\u5404\u6746\u4ef6\u7684\u5e94\u529b\u6c34\u5e73\u5747\u8fbe\u5230\u540c\u4e00\u4e2a\u503c\uff0c\u8bbe\u4e3a\\(e = \\frac{{{F_N}}}{{EA}}\\)\uff0c\u6b64\u65f6\u7ed3\u6784\u4efb\u610f\u4e00\u70b9\u5728\u6307\u5b9a\u65b9\u5411\u7684\u4f4d\u79fb\u516c\u5f0f\u53d8\u4e3a\u4ee5\u4e0b\uff1a<\/p>\n<p>$${\\Delta = \\sum {\\int {\\frac{{n{F_N}}}{{EA}}} } {\\rm{ds}} = e\\sum {nL} }$$<\/p>\n<p>\u7531\u4e0a\u8ff0\u516c\u5f0f\u53ef\u89c1\uff0c\u5f53e\u4e00\u6837\u65f6\uff0c\\(\\sum {nL} \\)\u8d8a\u5c0f\uff0c\u7ed3\u6784\u7684\u4f4d\u79fb\\(\\Delta \\)\u8d8a\u5c0f\uff0c\u7ed3\u6784\u7684\u521a\u5ea6\u8d8a\u5927\uff0c\u6b64\u65f6\\(\\sum {nL} \\)\u53ef\u4ee5\u770b\u505a\u662f\u4e00\u4e2a\u80fd\u91cf\u6307\u6807\uff0c\u6746\u4ef6\u865a\u62df\u529b\u4e0e\u6746\u4ef6\u957f\u5ea6\u7684\u4e58\u79ef\u3002\u6211\u4eec\u4e0d\u59a8\u628a\u4e0a\u8ff0\u516c\u5f0f\u4e2d\u7684\u865a\u62df\u8f74\u529b\u6362\u4f4d\u771f\u5b9e\u8f74\u529b\uff0c\u5219\\(\\sum {nL} \\)\u53d8\u4e3a\\(\\sum {{F_N}L} \\)\uff0c\u8fd9\u5c31\u662fBaker\u5728\u53e6\u5916\u4e00\u7bc7\u6587\u7ae0\u4e2d\u63d0\u5230\u7684\u4f20\u529b\u8def\u5f84\uff0c\u4e5f\u5e38\u79f0\u4e3a\u529b\u6d41\u3002\u5173\u4e8e\u529b\u6d41\uff0c\u8fd9\u4e2a\u6587\u7ae0\u4e5f\u4ecb\u7ecd\u8fc7\uff1a<a href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzIyNTc4NDczMQ==&amp;mid=2247483892&amp;idx=1&amp;sn=798ba003f6cdca7da4b8d365937c1ebf&amp;chksm=e87b2700df0cae167133dca9920146be318aebd2b47858f66dcd92ae8a35ba3b68afdf5385cb&amp;scene=21#wechat_redirect\" target=\"_blank\" rel=\"noopener\" data-itemshowtype=\"0\" data-linktype=\"2\"><strong>\u5f18\u6784\u5927\u8bb2\u5802 | \u57fa\u4e8e\u529b\u6d41(\u2211N \u00d7L)\u7684\u7ed3\u6784\u6548\u7387\u8bc4\u4ef7\u65b9\u6cd5<\/strong><\/a>\u3002<\/p>\n<p>\u5bf9\u4e8e\u4e0d\u540c\u7684\u7ed3\u6784\uff0c\u6211\u4eec\u53ef\u4ee5\u5229\u7528\\(\\sum {{F_N}L} \\)\u8bc4\u4f30\u5404\u4e2a\u7ed3\u6784\u7684\u51e0\u4f55\u6784\u578b\uff0c\\(\\sum {{F_N}L} \\)\u8d8a\u5c0f\uff0c\u8868\u660e\u8fd9\u4e2a\u51e0\u4f55\u6784\u578b\u4f20\u529b\u8d8a\u76f4\u63a5\uff0c\u4f20\u529b\u8def\u5f84\u8d8a\u77ed\uff0c\u5728\u6784\u4ef6\u8fbe\u5230\u6ee1\u5e94\u529b\u6216\u540c\u7b49\u5e94\u529b\u6c34\u5e73\u7684\u6761\u4ef6\u4e0b\uff0c\u521a\u5ea6\u6700\u5927\u3002\u4e8e\u662f\u53ef\u4ee5\u5229\u7528\u8fd9\u70b9\uff0c\u627e\u5230\u9759\u5b9a\u6841\u67b6\u7684\u6700\u4f18\u51e0\u4f55\u6784\u578b\u3002<\/p>\n<p>\u4e0b\u9762\u6211\u4eec\u7528\u4e00\u4e2aX\u578b\u4f38\u81c2\u6841\u67b6\u7684\u51e0\u4f55\u4f18\u5316\u4e3a\u4f8b\u8fdb\u884c\u6f14\u793a\u3002\u5728SAP2000\u4e2d\u8fdb\u884cX\u578b\u6841\u67b6\u5efa\u6a21\uff0c\u5982\u4e0b\u56fe\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21300\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_1-min.jpg\" alt=\"\" width=\"505\" height=\"440\" \/><\/p>\n<p>\u5176\u4e2dX\u578b\u4f38\u81c2\u6841\u67b6\u7684\u5bbd\u3001\u9ad8\u5747\u4e3a8000\uff0c\u6211\u4eec\u901a\u8fc7\u8fed\u4ee3\u5bfb\u627e\u4e2d\u95f4X\u70b9\u7684\u6700\u4f18\u4f4d\u7f6e\u3002<\/p>\n<p>\u6253\u5f00\u5c0f\u8f6f\u4ef6\uff0c\u8bbe\u7f6e\u63a7\u5236\u8282\u70b9\u3001\u5750\u6807\u53d8\u5316\u8303\u56f4\u3001\u76d1\u6d4b\u70b9\u3001\u76d1\u6d4b\u4f4d\u79fb\u548c\u8fed\u4ee3\u6b65\u7b49\u53c2\u6570\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21301\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_2.jpg\" alt=\"\" width=\"908\" height=\"573\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_2.jpg 908w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_2-768x485.jpg 768w\" sizes=\"auto, (max-width: 908px) 100vw, 908px\" \/><\/p>\n<p>\u8bbe\u7f6e\u597d\u53c2\u6570\u540e\uff0c\u70b9\u51fb\u8fd0\u884c\u5206\u6790\uff0c\u8f6f\u4ef6\u63a7\u5236SAP2000\u8fdb\u884c\u8fed\u4ee3\u8ba1\u7b97\uff0c\u53ef\u4ee5\u5728\u8f6f\u4ef6\u754c\u9762\u770b\u5230\u5b9e\u65f6\u7684\u8fed\u4ee3\u8fc7\u7a0b\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21305\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_5-min.jpg\" alt=\"\" width=\"908\" height=\"592\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_5-min.jpg 908w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_5-min-768x501.jpg 768w\" sizes=\"auto, (max-width: 908px) 100vw, 908px\" \/><\/p>\n<p>\u4e0b\u56fe\u662f\u6700\u7ec8\u5206\u6790\u7ed3\u679c\u3002\u5176\u4e2d\u7b2c\u4e00\u4e2a\u56fe\u662f\u8fed\u4ee3\u5750\u6807\u548c\u76d1\u6d4b\u70b9\u7ad6\u5411\u4f4d\u79fb\u7684\u5173\u7cfb\uff0c\u7b2c\u4e8c\u4e2a\u56fe\u662f\u8fed\u4ee3\u5750\u6807\u548c\u529b\u6d41 \\(\\sum {{F_N}L} \\)\u7684\u5173\u7cfb\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21306\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_6-min.jpg\" alt=\"\" width=\"564\" height=\"361\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-21307\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_7-min.jpg\" alt=\"\" width=\"567\" height=\"360\" \/><\/p>\n<p>\u7531\u7b2c\u4e00\u56fe\u53ef\u4ee5\u770b\u5230\uff0c\u4f4d\u79fb\u6700\u5c0f\u7684X\u5750\u6807\u662f1000\uff0c\u7b2c\u4e8c\u56fe\u529b\u6d41\u6700\u5c0f\u7684X\u5750\u6807\u662f2000\u3002<\/p>\n<p>\u800cX=2000\u624d\u662f\u6700\u4f18\u51e0\u4f55\u6784\u578b\u4f4d\u7f6e\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5f97\u5230\u4e86\u6211\u4eec\u7ecf\u5e38\u770b\u5230\u76843\/4\u4f4d\u7f6e\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-21302\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_3-min.jpg\" alt=\"\" width=\"388\" height=\"384\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-21303\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_Ex2_4-min.jpg\" alt=\"\" width=\"389\" height=\"376\" \/><\/p>\n<p>\u4ee5\u4e0b\u662f\u6574\u4e2a\u8f6f\u4ef6\u5206\u6790\u52a8\u753b\u3002<\/p>\n<div style=\"width: 800px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-21267-1\" width=\"800\" height=\"311\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_min_20230524.mp4?_=1\" \/><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_min_20230524.mp4\">http:\/\/www.jdcui.com\/wp-content\/uploads\/2023\/05\/TrussGeoOptimization_min_20230524.mp4<\/a><\/video><\/div>\n<p>\u53e6\u5916\u9648\u5b66\u4f1f\u535a\u58eb\u5728\u00a0<a href=\"http:\/\/mp.weixin.qq.com\/s?__biz=MzI3MzA5Mjg5NQ==&amp;mid=2649368804&amp;idx=1&amp;sn=31c0a70121ea6b7c41ab9c2eee366fb7&amp;chksm=f3361094c44199827c92b62188b68d09e63d3da8cf335b5e1003c0ec441765fed850adcb825e&amp;scene=21#wechat_redirect\" target=\"_blank\" rel=\"noopener\" data-itemshowtype=\"0\" data-linktype=\"2\"><strong>[Dino\u7b14\u8bb0]\u4f38\u81c2\u6841\u67b6\u7684\u51e0\u4f55\u4f18\u5316\u65b9\u6cd5<\/strong><\/a>\u00a0\u4e2d\u901a\u8fc7Opensees\u4e8c\u6b21\u5f00\u53d1\u7684\u65b9\u5f0f\u4e5f\u505a\u8fc7\uff0c\u5927\u5bb6\u53ef\u4ee5\u5bf9\u6bd4\u770b\u770b\u3002<\/p>\n<p><strong>\u53c2\u8003\u6587\u732e\uff1a<\/strong><\/p>\n<p><strong>[01] Baker WF. Energy-Based Design of Lateral Systems [J]. Structural Engineering International, 1992, 2:99-102.<\/strong><\/p>\n<p><strong>[02] Baker WF, Beghini LL, Mazurek A, Carrion J, Beghini A . Maxwell\u2019s reciprocal diagrams and discrete Michell frames [J]. Struct Multidisc Optim. (2013)<\/strong><\/p>\n<hr \/>\n<p style=\"text-align: center;\"><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-21267\" data-content-id=\"21267\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(21267, 1);\">Vote Up +7<\/button> <button class=\"thumbs-rating-down\" onclick=\"thumbs_rating_vote(21267, 2);\">Vote Down -0<\/button><span class=\"thumbs-rating-already-voted\">You already voted!<\/span><\/div><\/strong><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u76f8\u5173\u8d44\u6599 (<span style=\"color: #000080;\">\u00a0<span style=\"color: #0000ff;\">Related Topics <\/span><\/span>)<\/strong><\/li>\n<\/ul>\n<p><strong>[01]\u00a0<a title=\"[CSI OAPI][\u7f16\u7a0b] CSI OAPI EX1: \u8fd0\u884c\/\u5173\u95ed\/\u6355\u6349 SAP2000 [Start\/Exit\/GetActive SAP2000]\" href=\"http:\/\/www.jdcui.com\/?p=12474\" target=\"_blank\" rel=\"noopener\">[CSI OAPI][\u7f16\u7a0b] CSI OAPI EX1: \u8fd0\u884c\/\u5173\u95ed\/\u6355\u6349 SAP2000 [Start\/Exit\/GetActive SAP2000]<\/a><\/strong><\/p>\n<p><strong>[02] <a title=\"[CSI OAPI][\u7f16\u7a0b] CSI OAPI EX2: \u4f38\u81c2\u6841\u67b6\u51e0\u4f55\u4f18\u5316 [Geometric optimization of outrigger truss]\" href=\"http:\/\/www.jdcui.com\/?p=21267\" target=\"_blank\" rel=\"noopener\">[CSI OAPI][\u7f16\u7a0b] CSI OAPI EX2: \u4f38\u81c2\u6841\u67b6\u51e0\u4f55\u4f18\u5316 [Geometric optimization of outrigger truss]<\/a><\/strong><\/p>\n<p><strong>[03] <a title=\"[CSI OAPI][\u7f16\u7a0b] CSI OAPI EX3: \u5feb\u901f\u5b9a\u4e49\u81ea\u5b9a\u4e49\u622a\u9762 [Quickly define SD sections]\" href=\"http:\/\/www.jdcui.com\/?p=21340\" target=\"_blank\" rel=\"noopener\">[CSI OAPI][\u7f16\u7a0b] CSI OAPI EX3: \u5feb\u901f\u5b9a\u4e49\u81ea\u5b9a\u4e49\u622a\u9762 [Quickly define SD sections]<\/a><\/strong><\/p>\n<p><strong>[04] <a title=\"[CSI OAPI][\u7f16\u7a0b] CSI OAPI EX4: \u6e10\u8fdb\u7ed3\u6784\u4f18\u5316\u6cd5ESO\u62d3\u6251\u4f18\u5316 [ESO, Evolutionary Structural Optimization]\" href=\"http:\/\/www.jdcui.com\/?p=21357\" target=\"_blank\" rel=\"noopener\">[CSI OAPI][\u7f16\u7a0b] CSI OAPI EX4: \u6e10\u8fdb\u7ed3\u6784\u4f18\u5316\u6cd5ESO\u62d3\u6251\u4f18\u5316 [ESO, Evolutionary Structural Optimization]<\/a><\/strong><\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: left;\"><strong>\u5fae\u4fe1\u516c\u4f17\u53f7\u00a0(<span style=\"color: #000080;\">\u00a0<span style=\"color: #0000ff;\">Wechat\u00a0Subscription<\/span><\/span>)<\/strong><\/li>\n<\/ul>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3636\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\" alt=\"WeChat_QRCode\" width=\"250\" height=\"255\" \/><strong>\u6b22\u8fce\u5173\u6ce8\u00a0\u201c<span style=\"color: #ff00ff;\">\u7ed3\u6784\u4e4b\u65c5<\/span>\u201d\u00a0\u5fae\u4fe1\u516c\u4f17\u53f7<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\u3001\u521b\u65b0\u3002 CSI API\u7f16\u7a0b\u8bad\u7ec3\u7b2c\u4e8c\u8bfe\uff0c\u8fd9\u6b21\u505a\u4e00\u4e2a\u57fa\u4e8e\u865a\u529f\u539f\u7406\u7684\u4f38\u81c2\u6841\u67b6\u51e0\u4f55\u4f18\u5316\uff0c\u4e3b\u8981\u8bad\u7ec3\u5982\u4f55\u901a\u8fc7\u7f16\u7a0b\u63a7\u5236SAP2000\u4fee\u6539\u8282\u70b9\u4f4d\u7f6e\uff0c\u81ea\u52a8\u63d0\u4ea4\u8ba1\u7b97\u5206\u6790\uff0c\u5e76\u63d0\u53d6\u6784\u4ef6\u7684\u5185\u529b\u7b49\u3002 \u5bf9\u4e8e\u6841\u67b6\u7ed3\u6784\uff0c\u6839\u636e\u865a\u529f\u539f\u7406\uff0c\u7ed3\u5408\u5355\u4f4d\u8377\u8f7d\u6cd5\u53ef\u77e5\uff0c\u7ed3\u6784\u4efb\u610f\u4e00\u70b9\u5728\u6307\u5b9a\u65b9\u5411\u7684\u4f4d\u79fb\u53ef\u6309\u4ee5\u4e0b\u516c\u5f0f\u8868\u793a\uff1a $${\\Delta = \\sum {\\int {\\frac{{n{F_N}}}{{EA}}} } {\\rm{ds}} = \\sum {\\frac{{n{F_N}L}}{{EA}}} }$$ \u5176\u4e2d\uff0c\\(n\\)\u4e3a\u6746\u4ef6\u7684\u865a\u62df\u8f74\u529b\uff0c\\({F_N}\\)\u4e3a\u6746\u4ef6\u7684\u771f\u5b9e\u8f74\u529b\uff0c\\(E\\)\u4e3a\u6746\u4ef6\u7684\u5f39\u6027\u6a21\u91cf\uff0c\\(A\\)\u4e3a\u6746\u4ef6\u7684\u622a\u9762\u9762\u79ef\uff0c\\(L\\)\u4e3a\u6746\u4ef6\u7684\u957f\u5ea6\u3002 \u6839\u636eBaker\u7684\u7814\u7a76\u53ef\u77e5\uff0c\u5bf9\u4e8e\u9759\u5b9a\u6841\u67b6\u7ed3\u6784\uff0c\u5404\u6746\u4ef6\u5904\u4e8e\u7b49\u5e94\u529b\u72b6\u6001\u65f6\uff0c\u7ed3\u6784\u6746\u4ef6\u662f\u6700\u4f18\u7684\u3002\u8fd9\u4e2a\u6700\u4f18\u8bf4\u7684\u662f\uff0c\u5bf9\u4e8e\u7ed9\u5b9a\u6320\u5ea6\uff0c\u5f53\u6240\u6709\u6746\u4ef6\u5747\u5904\u4e8e\u7b49\u5e94\u529b\u72b6\u6001\u65f6\uff0c\u6240\u9700\u7ed3\u6784\u6750\u6599\u7528\u91cf\u6700\u5c0f\uff1b\u6216\u8005\u8bf4\u5bf9\u4e8e\u7ed9\u5b9a\u6750\u6599\u7528\u91cf\u7684\u7ed3\u6784\uff0c\u5f53\u6240\u6709\u6746\u4ef6\u5747\u5904\u4e8e\u7b49\u5e94\u529b\u72b6\u6001\u65f6\uff0c\u7ed3\u6784\u6320\u5ea6\u6700\u5c0f\u3002 \u5047\u8bbe\u5404\u6746\u4ef6\u7684\u5e94\u529b\u6c34\u5e73\u5747\u8fbe\u5230\u540c\u4e00\u4e2a\u503c\uff0c\u8bbe\u4e3a\\(e = \\frac{{{F_N}}}{{EA}}\\)\uff0c\u6b64\u65f6\u7ed3\u6784\u4efb\u610f\u4e00\u70b9\u5728\u6307\u5b9a\u65b9\u5411\u7684\u4f4d\u79fb\u516c\u5f0f\u53d8\u4e3a\u4ee5\u4e0b\uff1a $${\\Delta = \\sum {\\int {\\frac{{n{F_N}}}{{EA}}} } {\\rm{ds}} = e\\sum {nL} &#8230;<\/p>\n","protected":false},"author":1,"featured_media":21304,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3905,727],"tags":[1936,3925,3906,1312,3923,446,253,1609,3924,3490,3482,1318,999,801],"class_list":["post-21267","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-csi-oapi-programming-csi-oapi","category-etabssap2000","tag-api","tag-geometric-optimization","tag-oapi","tag-optimization","tag-outrigger-truss","tag-sap2000","tag-253","tag-1609","tag-3924","tag-3490","tag-3482","tag-1318","tag-999","tag-801"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"CJD\"\/>\n\t<meta name=\"keywords\" content=\"api,geometric 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