{"id":23381,"date":"2024-09-09T16:22:01","date_gmt":"2024-09-09T08:22:01","guid":{"rendered":"https:\/\/firstmold.com\/?p=23381"},"modified":"2025-07-15T13:32:35","modified_gmt":"2025-07-15T05:32:35","slug":"torsional-rigidity","status":"publish","type":"post","link":"https:\/\/firstmold.com\/zh\/tips\/torsional-rigidity\/","title":{"rendered":"\u4e86\u89e3\u626d\u8f6c\u521a\u6027\uff1a\u539f\u7406\u3001\u8ba1\u7b97\u548c\u5de5\u7a0b\u5e94\u7528"},"content":{"rendered":"

\u626d\u8f6c\u521a\u5ea6\u662f\u4e00\u4e2a\u57fa\u672c\u7684\u5de5\u7a0b\u53c2\u6570\u3002\u5b83\u662f\u6307\u7ed3\u6784\u90e8\u4ef6\u5728\u626d\u77e9\u4f5c\u7528\u4e0b\u62b5\u6297\u626d\u66f2\u7684\u80fd\u529b\u3002\u5bf9\u4e8e\u6c7d\u8f66\u3001\u822a\u7a7a\u822a\u5929\u3001\u6c11\u7528\u5efa\u7b51\u7b49\u5e94\u7528\u4e2d\u627f\u53d7\u626d\u8f6c\u8f7d\u8377\u7684\u90e8\u4ef6\uff08\u5982\u8f74\u3001\u6881\u548c\u5176\u4ed6\u673a\u68b0\u90e8\u4ef6\uff09\u6765\u8bf4\uff0c\u8fd9\u662f\u4e00\u4e2a\u81f3\u5173\u91cd\u8981\u7684\u5b9d\u8d35\u7279\u6027\u3002\u626d\u8f6c\u521a\u5ea6\u7684\u77e5\u8bc6\u5bf9\u4e8e\u786e\u5b9a\u8fd9\u4e9b\u90e8\u4ef6\u7684\u5f3a\u5ea6\u548c\u7a33\u5b9a\u6027\u81f3\u5173\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u76f4\u63a5\u5f71\u54cd\u5230\u8fd9\u4e9b\u90e8\u4ef6\u7684\u626d\u8f6c\u5f3a\u5ea6\u548c\u8010\u7528\u6027\u3002<\/p>\n\n\n\n

\u5de5\u7a0b\u4e2d\u626d\u8f6c\u521a\u6027\u7684\u5b9a\u4e49\u548c\u610f\u4e49<\/h2>\n\n\n\n

\u626d\u8f6c\u521a\u5ea6\u7528\u4ee5\u4e0b\u7b26\u53f7\u8868\u793a GJ<\/em><\/strong>\u5176\u4e2d G<\/em><\/strong> \u4ee3\u8868\u6750\u6599\u7684\u526a\u5207\u6a21\u91cf\uff0c\u4ee5\u53ca J<\/em><\/strong> \u662f\u6307\u6a2a\u622a\u9762\u79ef\u7684\u6781\u60ef\u6027\u77e9\u3002\u5b83\u8868\u793a\u7ed3\u6784\u4ef6\u5355\u4f4d\u957f\u5ea6\u4ea7\u751f\u5355\u4f4d\u626d\u8f6c\u6240\u9700\u7684\u626d\u77e9\u3002 <\/p>\n\n\n\n

\u626d\u8f6c\u521a\u5ea6\u8868\u793a\u7ed3\u6784\u5728\u4e0d\u635f\u574f\u7684\u60c5\u51b5\u4e0b\u7684\u626d\u8f6c\u7a0b\u5ea6\u3002\u626d\u8f6c\u521a\u5ea6\u5728\u5de5\u7a0b\u8bbe\u8ba1\u4e2d\u81f3\u5173\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u6709\u52a9\u4e8e\u5f00\u53d1\u9700\u8981\u5728\u626d\u8f6c\u8f7d\u8377\u6761\u4ef6\u4e0b\u4fdd\u6301\u51e0\u4f55\u5f62\u72b6\u548c\u6027\u80fd\u7684\u90e8\u4ef6\u3002 <\/p>\n\n\n\n

\u5728\u7cbe\u5ea6\u548c\u5f3a\u5ea6\u8981\u6c42\u8f83\u9ad8\u7684\u573a\u5408\uff0c\u5982\u673a\u68b0\u7ed3\u6784\u7684\u8f74\u627f\u3001\u87ba\u65cb\u6868\u548c\u627f\u91cd\u6881\u7b49\uff0c\u8fd9\u79cd\u6750\u6599\u5c31\u663e\u5f97\u5f25\u8db3\u73cd\u8d35\u3002<\/p>\n\n\n\n

\u57fa\u672c\u6982\u5ff5\u548c\u7269\u7406\u89e3\u91ca<\/h3>\n\n\n\n

\u8981\u7406\u89e3\u626d\u8f6c\u521a\u5ea6\uff0c\u5fc5\u987b\u8003\u8651\u5230\u5706\u67f1\u5f62\u8f74\u5728\u626d\u77e9\u4f5c\u7528\u4e0b\u7684\u60c5\u51b5\u3002<\/p>\n\n\n\n

\"\u5728\u626d\u77e9\u4f5c\u7528\u4e0b\u7684\u5706\u67f1\u8f74\"<\/figure>\n\n\n\n

\u5916\u52a0\u626d\u77e9\uff08T\uff09\u3001\u626d\u8f6c\u89d2\uff08\u03b8\uff09\u548c\u8f74\u7684\u957f\u5ea6\uff08L\uff09\u4e4b\u95f4\u7684\u5173\u7cfb\u8868\u793a\u4e3a<\/p>\n\n\n\n

\u03b8=TL\/GJ<\/em><\/p>\n\n\n\n

\u4ece\u8fd9\u4e2a\u7b49\u5f0f\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u51fa\uff0c\u626d\u8f6c\u89d2\u4e0e\u626d\u77e9\u548c\u8f74\u7684\u957f\u5ea6\u6210\u6b63\u6bd4\u3002\u5b83\u4e0e\u626d\u8f6c\u521a\u5ea6\u6210\u53cd\u6bd4 GJ<\/em>.<\/strong> \u626d\u8f6c\u521a\u6027 (GJ) \u8868\u793a\u8f74\u5728\u65bd\u52a0\u626d\u77e9\u65f6\u7684\u6297\u626d\u8f6c\u80fd\u529b\u3002\u626d\u8f6c\u521a\u5ea6\u8d8a\u5927\uff0c\u5728\u7ed9\u5b9a\u626d\u77e9\u4e0b\u4ea7\u751f\u7684\u626d\u8f6c\u89d2\u5ea6\u5c31\u8d8a\u5c0f\u3002G \u503c\u548c J \u503c\u8d8a\u9ad8\uff0c\u8f74\u7684\u626d\u66f2\u8d8a\u5c0f\u3002 <\/p>\n\n\n\n

\u5728\u529f\u80fd\u4e0a\uff0c\u5de5\u7a0b\u5e08\u4f1a\u5728\u5e94\u7528\u4e2d\u4f7f\u7528\u626d\u8f6c\u521a\u5ea6\uff0c\u4f30\u7b97\u90e8\u4ef6\u5728\u7279\u5b9a\u8d1f\u8f7d\u4e0b\u7684\u626d\u8f6c\u60c5\u51b5\uff0c\u5e76\u786e\u5b9a\u626d\u8f6c\u662f\u5426\u8db3\u4ee5\u5bfc\u81f4\u7ed3\u6784\u5931\u6548\u6216\u59a8\u788d\u7279\u5b9a\u529f\u80fd\u7684\u5b9e\u73b0\u3002<\/p>\n\n\n\n

\u626d\u8f6c\u521a\u6027\u7684\u57fa\u672c\u539f\u7406<\/h3>\n\n\n\n

\u626d\u8f6c\u521a\u5ea6\u662f\u8bbe\u8ba1\u548c\u5206\u6790\u627f\u53d7\u626d\u8f6c\u8f7d\u8377\u7684\u8f74\u3001\u9f7f\u8f6e\u548c\u7ed3\u6784\u7684\u57fa\u7840\u3002\u8fd9\u6d89\u53ca\u6750\u6599\u53ca\u5176\u7ed3\u6784\u62b5\u6297\u626d\u77e9\u6216\u626d\u8f6c\u529b\u7684\u80fd\u529b\uff0c\u53d6\u51b3\u4e8e\u6750\u6599\u7684\u7279\u6027\u548c\u90e8\u4ef6\u7684\u6a2a\u622a\u9762\u79ef\u3002\u4e86\u89e3\u8fd9\u4e9b\u539f\u7406\u5bf9\u4e8e\u5de5\u7a0b\u5e08\u8bbe\u8ba1\u80fd\u591f\u627f\u53d7\u626d\u8f6c\u8f7d\u8377\u7684\u90e8\u4ef6\u4ee5\u907f\u514d\u5176\u53d8\u5f62\u6216\u5931\u6548\u81f3\u5173\u91cd\u8981\u3002<\/p>\n\n\n\n

\u5f71\u54cd\u626d\u8f6c\u521a\u6027\u7684\u6750\u6599\u7279\u6027<\/h2>\n\n\n\n

\u90e8\u4ef6\u7684\u6297\u626d\u521a\u5ea6\u53d6\u51b3\u4e8e\u6750\u6599\u7684\u526a\u5207\u6a21\u91cf G\u3002\u8fd9\u662f\u8861\u91cf\u6750\u6599\u5728\u526a\u5207\u5e94\u529b\u4e0b\u521a\u5ea6\u7684\u6307\u6807\u3002\u4e0d\u540c\u6750\u6599\u7684\u526a\u5207\u6a21\u91cf\u4e5f\u5404\u4e0d\u76f8\u540c\u3002\u94a2\u6750\u7684\u526a\u5207\u6a21\u91cf\u6bd4\u94dd\u6750\u6216\u805a\u5408\u7269\u9ad8\uff0c\u800c\u94dd\u6750\u6216\u805a\u5408\u7269\u662f\u66f4\u67d4\u97e7\u7684\u6750\u6599\u7c7b\u578b\u3002\u526a\u5207\u6a21\u91cf\u662f\u6750\u6599\u5e38\u6570\u4e4b\u4e00\u3002\u5b83\u53d6\u51b3\u4e8e\u539f\u5b50\u7ed3\u5408\u7684\u79cd\u7c7b\u548c\u6750\u6599\u7684\u6676\u683c\u3002<\/p>\n\n\n\n

<\/td>\u586b\u6599\u542b\u91cf\uff08wt%\uff09<\/strong><\/td>\u57fa\u8d28\u7ed3\u6676\u5ea6\uff08%\uff09<\/strong><\/td>G* \uff08\u5146\u5e15\uff09<\/strong><\/td>\u03c3y<\/sub>(MPa)
\u00b10.5 \u5146\u5e15<\/strong><\/td>		\u03b5r<\/sub>(%)
\u00b1\uff0880%\uff09<\/strong><\/td><\/tr>
PE<\/strong><\/td>0<\/td>52<\/td>2.8<\/td>16<\/td>1100<\/td><\/tr>
PE \u65b9\u89e3\u77f3<\/strong><\/td>9.6<\/td>48<\/td>3.2<\/td>16<\/td>720<\/td><\/tr>
PE-Calcite-SA<\/strong><\/td>7.7<\/td>48<\/td>3.1<\/td>15<\/td>720<\/td><\/tr>
PE- \u9730\u77f3<\/strong><\/td>10.3<\/td>51<\/td>3.45<\/td>15<\/td>910<\/td><\/tr>
PE-Aragonite-SA<\/strong><\/td>9.3<\/td>53<\/td>2.6<\/td>16<\/td>930<\/td><\/tr>
PE-C.Fornicata<\/strong><\/td>8.6<\/td>49<\/td>2.8<\/td>16<\/td>670<\/td><\/tr>
PE-C.Fornicata-SA<\/strong><\/td>9.5<\/td>49<\/td>3<\/td>15<\/td>740<\/td><\/tr>
PE-C.Gigas<\/strong><\/td>6.5<\/td>52<\/td>2.8<\/td>16<\/td>730<\/td><\/tr>
PE-C.Gigas-SA<\/strong><\/td>9.3<\/td>50<\/td>3.2<\/td>15<\/td>830<\/td><\/tr>
PE-P.Maximus<\/strong><\/td>10.8<\/td>47<\/td>3<\/td>16<\/td>680<\/td><\/tr>
PE-P.Maximus-SA<\/strong><\/td>9.7<\/td>50<\/td>3.2<\/td>16<\/td>760<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u4e0d\u540c\u6750\u6599\u7684\u5c48\u670d\u5f3a\u5ea6\u3001\u6781\u9650\u62c9\u4f38\u5f3a\u5ea6 (UTS) \u548c\u6768\u6c0f\u6a21\u91cf\u5bf9\u6bd4\u8868<\/h4>\n\n\n\n
\u6750\u6599<\/td>\u5c48\u670d\u5f3a\u5ea6
(MPa)<\/td>		UTS\uff08\u5146\u5e15\uff09<\/td>\u6768\u6c0f\u6a21\u91cf\uff08GPa\uff09<\/td><\/tr>
\u94dd\u8d28<\/td>35<\/td>90<\/td>69<\/td><\/tr>
\u94dc<\/td>69<\/td>200<\/td>117<\/td><\/tr>
\u9ec4\u94dc<\/td>75<\/td>300<\/td>120<\/td><\/tr>
\u94c1<\/td>130<\/td>262<\/td>170<\/td><\/tr>
\u954d<\/td>138<\/td>480<\/td>210<\/td><\/tr>
\u94a2<\/td>180<\/td>380<\/td>200<\/td><\/tr>
\u949b<\/td>450<\/td>520<\/td>110<\/td><\/tr>
\u94bc<\/td>565<\/td>655<\/td>330<\/td><\/tr>
\u9506\u5408\u91d1\uff08\u5178\u578b\u8986\u5c42\uff09<\/td>380<\/td>510<\/td>99<\/td><\/tr>
08Kh18N10T \u4e0d\u9508\u94a2<\/td>216<\/td>530<\/td>196<\/td><\/tr>
\u5408\u91d1 304L \u4e0d\u9508\u94a2<\/td>241<\/td>586<\/td>193<\/td><\/tr>
SA-508 Gr.3 Cl.2\uff08\u4f4e\u5408\u91d1\u94c1\u7d20\u4f53\u94a2\uff09<\/td>500<\/td>700<\/td>210<\/td><\/tr>
15Kh2NMFA\uff08\u4f4e\u5408\u91d1\u94c1\u7d20\u4f53\u94a2\uff09<\/td>490<\/td>610<\/td>220<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u5f71\u54cd\u626d\u8f6c\u521a\u6027\u7684\u53e6\u4e00\u4e2a\u6750\u6599\u7279\u6027\u662f\u6750\u6599\u7684\u5747\u5300\u6027\u6216\u5747\u8d28\u6027\uff0c\u4ee5\u53ca\u6750\u6599\u5404\u5411\u5f02\u6027\u6216\u5404\u5411\u540c\u6027\u7684\u7a0b\u5ea6\u3002\u5404\u5411\u540c\u6027\u7279\u6027\u53ef\u4f7f\u5404\u5411\u540c\u6027\u6750\u6599\u5728\u6240\u6709\u65b9\u5411\u4e0a\u7684\u626d\u8f6c\u521a\u5ea6\u4fdd\u6301\u4e0d\u53d8\u3002 <\/p>\n\n\n\n

\u5728\u5404\u5411\u5f02\u6027\u6750\u6599\uff08\u5982\u590d\u5408\u6750\u6599\uff09\u4e2d\uff0c\u626d\u8f6c\u521a\u5ea6\u53ef\u80fd\u4f1a\u56e0\u65bd\u52a0\u626d\u77e9\u7684\u4f4d\u7f6e\u548c\u6750\u6599\u6c89\u79ef\u800c\u4e0d\u540c\u3002 <\/p>\n\n\n\n

\u5f71\u54cd\u626d\u8f6c\u521a\u5ea6\u7684\u53e6\u4e00\u4e2a\u5173\u952e\u56e0\u7d20\u662f\u5e94\u7528\u6750\u6599\u7684\u9009\u62e9\u3002\u4f8b\u5982\uff0c\u5728\u5bf9\u626d\u8f6c\u521a\u5ea6\u548c\u91cd\u91cf\u8981\u6c42\u8f83\u4f4e\u7684\u8bbe\u8ba1\u9886\u57df\uff0c\u5de5\u7a0b\u5e08\u53ef\u4ee5\u9009\u62e9\u9ad8\u521a\u5ea6\u91cd\u91cf\u6bd4\u7684\u590d\u5408\u6750\u6599\u3002<\/p>\n\n\n\n

\u4e0d\u540c\u51e0\u4f55\u5f62\u72b6\u7684\u626d\u8f6c\u521a\u6027<\/h2>\n\n\n\n

\u4ee5\u6781\u6027\u60ef\u6027\u77e9\u4e3a\u7279\u5f81\u7684\u626d\u8f6c\u521a\u6027\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u8003\u8651\u4e86\u90e8\u4ef6\u6a2a\u622a\u9762\u7684\u51e0\u4f55\u5f62\u72b6\u3002\u6781\u60ef\u6027\u77e9\u662f\u4e00\u4e2a\u51e0\u4f55\u6982\u5ff5\uff0c\u6307\u6a2a\u622a\u9762\u9762\u79ef\u5728\u65cb\u8f6c\u8f74\u4e0a\u7684\u5206\u5e03\u3002\u4e0d\u540c\u6750\u6599\u7684 J \u503c\u4e0d\u540c\uff0c\u56e0\u6b64\u622a\u9762\u5f62\u72b6\u7684\u626d\u8f6c\u521a\u6027\u4e5f\u4e0d\u540c\u3002<\/p>\n\n\n\n

\u5706\u5f62\u6a2a\u622a\u9762\uff1a <\/h3>\n\n\n\n

\u5706\u5f62\u8f74\u5728\u5de5\u7a0b\u9886\u57df\u5f88\u5e38\u89c1\u3002\u5b83\u4eec\u7684\u6a2a\u622a\u9762\u4e0a\u7684\u6750\u6599\u56f4\u7ed5\u65cb\u8f6c\u8f74\u5bf9\u79f0\u5206\u5e03\u3002\u5b9e\u5fc3\u5706\u8f74\u7684\u6781\u60ef\u6027\u77e9\u7531\u516c\u5f0f\u786e\u5b9a\uff1a<\/p>\n\n\n\n

J = (\u03c0r\u2074)\/2<\/em><\/p>\n\n\n\n

\u5176\u4e2d\uff0c\"r \"\u4ee3\u8868\u8f74\u7684\u534a\u5f84\u3002\u5706\u5f62\u6a2a\u622a\u9762\u7684\u7b2c\u4e8c\u9762\u79ef\u77e9\u76f8\u5bf9\u8f83\u5c0f\uff0c\u4ece\u800c\u589e\u5f3a\u4e86\u5176\u6297\u626d\u521a\u5ea6\u3002\u56e0\u6b64\uff0c\u5b83\u4eec\u88ab\u7528\u4e8e\u673a\u5668\u7684\u8f74\u548c\u65cb\u8f6c\u90e8\u4ef6\u3002<\/p>\n\n\n\n

\"\u5706\u5f62\u622a\u9762\u8ba1\u7b97\"<\/figure>\n\n\n\n

\u793a\u4f8b 1<\/strong><\/p>\n\n\n\n

\u793a\u4f8b 1<\/p>\n\n\n\n

\u5047\u8bbe\u4e00\u6839\u8f74\u662f\u5b9e\u5fc3\u8f74\uff0c\u534a\u5f84 r = 5 \u5398\u7c73\uff0c\u957f\u5ea6 L = 1 \u7c73\uff0c\u7ed9\u5b9a\u503c\u4e3a\u526a\u5207\u6a21\u91cf G = 80 GPa\u3002<\/p>\n\n\n\n

    \n
  1. \u8ba1\u7b97\u6781\u60ef\u6027\u77e9<\/li>\n\n\n\n
  2. \u786e\u5b9a\u626d\u8f6c\u521a\u5ea6<\/li>\n\n\n\n
  3. \u5982\u679c\u626d\u77e9 T=50 \u725b\u7c73\uff0c\u8ba1\u7b97\u626d\u8f6c\u89d2 \u03b8<\/li>\n<\/ol>\n\n\n\n

    \u89e3\u51b3\u65b9\u6848<\/u><\/strong><\/p>\n\n\n\n

      \n
    1. J=(\u03c0r4<\/sup>)\/2=\u03c0(0.05)4<\/sup>)\/2=3.07\u00d710-6<\/sup>m4<\/sup><\/em><\/code><\/li>\n\n\n\n
    2. GJ=80\u00d7109<\/sup>\u00d73.07\u00d710-6<\/sup>=245.6Nm2<\/sup><\/em><\/code><\/li>\n\n\n\n
    3. \u03b8=TL\/GJ=(50\u00d71)\/245.6=0.204 radians<\/em><\/code><\/li>\n<\/ol>\n\n\n\n

      \u77e9\u5f62\u6a2a\u622a\u9762\uff1a <\/h3>\n\n\n\n

      \u91d1\u5c5e\u68d2\u7684\u53e6\u4e00\u79cd\u51e0\u4f55\u5f62\u72b6\u662f\u77e9\u5f62\uff0c\u9002\u7528\u4e8e\u5de5\u7a0b\uff0c\u5c24\u5176\u662f\u7ed3\u6784\u3002\u77e9\u5f62\u68d2\u7684\u6297\u626d\u521a\u5ea6\u8981\u590d\u6742\u5f97\u591a\uff0c\u5b83\u53d6\u51b3\u4e8e\u6a2a\u622a\u9762\u5404\u8fb9\u7684\u957f\u5bbd\u6bd4\u3002\u5bf9\u4e8e\u4e00\u7ef4\u6bd4\u53e6\u4e00\u7ef4\u5c0f\u5f97\u591a\u7684\u8584\u77e9\u5f62\u622a\u9762\uff0c\u6781\u60ef\u6027\u77e9\u53ef\u8fd1\u4f3c\u4e3a<\/p>\n\n\n\n

      J = (ab\u00b3)\/3<\/em><\/p>\n\n\n\n

      \u5176\u4e2d\uff0c\u53ea\u6709\u5f53\u539a\u5ea6\u660e\u663e\u5c0f\u4e8e\u5bbd\u5ea6\u65f6\uff0c\u8be5\u516c\u5f0f\u624d\u6709\u6548\u3002<\/p>\n\n\n\n

      \u7ed9\u4f60 a<\/em><\/strong> \u548c b<\/em><\/strong> \u5206\u522b\u662f\u77e9\u5f62\u7684\u957f\u5bbd\u5c3a\u5bf8\u3002\u5728\u7528\u4f5c\u5efa\u7b51\u7269\u548c\u7ed3\u6784\u7684\u94a2\u6784\u4ef6\u65f6\uff0c\u77e9\u5f62\u622a\u9762\u7684\u6297\u626d\u521a\u5ea6\u901a\u5e38\u4f4e\u4e8e\u5706\u5f62\u622a\u9762\uff0c\u8fd9\u4e3b\u8981\u662f\u56e0\u4e3a\u77e9\u5f62\u622a\u9762\u7684\u957f\u5bbd\u6bd4\u5f88\u9ad8\uff0c\u5373\u77e9\u5f62\u7684\u4e00\u8fb9\u6bd4\u53e6\u4e00\u8fb9\u957f\u3002<\/p>\n\n\n\n

      \u793a\u4f8b 2<\/strong><\/p>\n\n\n\n

      \u8003\u8651\u4e00\u6839\u77e9\u5f62\u8584\u58c1\u94a2\u6881\uff0c\u5c3a\u5bf8\u4e3a 20 \u5398\u7c73 x 10 \u5398\u7c73\uff0c\u957f\u5ea6\u4e3a 3 \u7c73\uff0c\u526a\u5207\u6a21\u91cf G = 75 x 109<\/sup> GPa\u3002\u786e\u5b9a\u65bd\u52a0 T=2000Nm \u626d\u77e9\u65f6\u7684\u626d\u8f6c\u521a\u5ea6 GJ \u548c\u626d\u8f6c\u89d2 \u03b8\u3002<\/p>\n\n\n\n

      \u89e3\u51b3\u65b9\u6848<\/u><\/strong><\/p>\n\n\n\n

      \u6781\u5730\u60ef\u6027\u77e9 J<\/em><\/strong> \u77e9\u5f62\u622a\u9762\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a<\/p>\n\n\n\n

      J=(ab3<\/sup>)\/3=(0.1\u00d70.23<\/sup>)\/3=2.67\u00d710-4<\/sup><\/em><\/p>\n\n\n\n

      \u626d\u8f6c\u521a\u5ea6 GJ=75\u00d7109<\/sup>\u00d72.67\u00d710-4<\/sup>=2\u00d7107<\/sup>Nm2<\/sup><\/p>\n\n\n\n

      \u626d\u8f6c\u89d2\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a<\/p>\n\n\n\n

      \u03b8=(2000\u00d73)\/(2\u00d7107<\/sup> =1.5\u00d710-4<\/sup> \u5f27\u5ea6<\/em><\/p>\n\n\n\n

      \u7a7a\u5fc3\u548c\u590d\u6742\u622a\u9762\uff1a <\/h3>\n\n\n\n

      \u7ba1\u6750\u7b49\u7a7a\u5fc3\u5706\u5f62\u622a\u9762\u4ee5\u53ca\u5de5\u5b57\u94a2\u548c T \u578b\u622a\u9762\u7b49\u975e\u5706\u5f62\u622a\u9762\u5728\u5de5\u7a0b\u4e2d\u4e5f\u5f88\u6709\u7528\u3002\u5706\u67f1\u5f62\u58f3\u4f53\u5177\u6709\u826f\u597d\u7684\u6297\u626d\u66f2\u529b\u6027\u80fd\uff0c\u800c\u4e14\u76f8\u5bf9\u8f83\u8f7b\uff0c\u53ef\u7528\u4f5c\u6c7d\u8f66\u7684\u4f20\u52a8\u8f74\u6216\u5efa\u7b51\u7269\u7684\u6a2a\u6881\u3002\u7a7a\u5fc3\u5706\u5f62\u622a\u9762\u7684\u6781\u60ef\u6027\u77e9\u4e3a<\/p>\n\n\n\n

      J=\u03c0(ro<\/sub>4<\/sup>-ri<\/sub>4<\/sup>)\/2<\/em><\/p>\n\n\n\n

      \u5176\u4e2d ro<\/sub> \u662f\u5916\u534a\u5f84\uff0cri<\/sub> \u662f\u5185\u534a\u5f84\u3002<\/p>\n\n\n\n

      \"\u7a7a\u5fc3\u622a\u9762\u548c\u590d\u6742\u622a\u9762\"<\/figure>\n\n\n\n

      \u793a\u4f8b 3<\/strong><\/p>\n\n\n\n

      \u5047\u8bbe\u4e00\u6839\u8f7b\u8d28\u8584\u58c1\u7a7a\u5fc3\u5706\u8f74\u7684\u5916\u534a\u5f84 \"r\"= 5 \u5398\u7c73\uff0c\u5185\u534a\u5f84 \"b\"= 3 \u5398\u7c73\uff0c\u957f\u5ea6 \"L\"= 2 \u7c73\uff0c\u6750\u6599\u7684\u526a\u5207\u6a21\u91cf G = 70 G GPa\u3002<\/p>\n\n\n\n

        \n
      1. \u8ba1\u7b97\u6781\u60ef\u6027\u77e9 J<\/em><\/li>\n\n\n\n
      2. \u786e\u5b9a GJ \u7684\u626d\u8f6c\u521a\u5ea6<\/li>\n\n\n\n
      3. \u5982\u679c\u626d\u77e9 T=30 \u725b\u7c73\uff0c\u8ba1\u7b97\u626d\u8f6c\u89d2 \u03b8<\/li>\n<\/ol>\n\n\n\n

        \u89e3\u51b3\u65b9\u6848<\/u><\/strong><\/p>\n\n\n\n

          \n
        1. J=\u03c0(ro<\/sub>4<\/sup>-ri<\/sub>4<\/sup>)\/2=\u03c0(0.054<\/sup>-0.034<\/sup>)\/2=2.18\u00d710-6<\/sup>m4<\/sup><\/em><\/code><\/li>\n\n\n\n
        2. GJ=70\u00d7109<\/sup>\u00d72.18\u00d710-6<\/sup>=152.6Nm2<\/sup><\/em><\/code><\/li>\n\n\n\n
        3. \u03b8=TL\/GJ=(30\u00d72)\/152.6<\/code><\/li>\n<\/ol>\n\n\n\n

          \u4e0d\u540c\u6750\u6599\u7684\u626d\u8f6c\u521a\u6027<\/h2>\n\n\n\n

          \u626d\u8f6c\u521a\u6027\u53d6\u51b3\u4e8e\u6750\u6599\u3002\u526a\u5207\u6a21\u91cf\u9ad8\u7684\u91d1\u5c5e\u672c\u8eab\u5c31\u5177\u6709\u8f83\u9ad8\u7684\u626d\u8f6c\u521a\u6027\u3002\u4f8b\u5982\uff0c\u94a2\u7684\u526a\u5207\u6a21\u91cf\u4e3a 80 GPa\uff0c\u9002\u7528\u4e8e\u4f20\u52a8\u8f74\u548c\u673a\u5668\u7b49\u626d\u8f6c\u529b\u77e9\u8f83\u5927\u7684\u5730\u65b9\u3002\u91d1\u5c5e\u7684\u5747\u5300\u6027\u53ef\u4ee5\u9632\u6b62\u6750\u6599\u626d\u8f6c\u521a\u5ea6\u7684\u53d8\u5316\uff0c\u4f7f\u5176\u5728\u9700\u8981\u9ad8\u7cbe\u5ea6\u548c\u627f\u8f7d\u80fd\u529b\u7684\u60c5\u51b5\u4e0b\u63d0\u4f9b\u53ef\u9884\u6d4b\u7684\u6027\u80fd\u3002 <\/p>\n\n\n\n

          \u7136\u800c\uff0c\u805a\u5408\u7269\u7684\u526a\u5207\u6a21\u91cf\u76f8\u5bf9\u8f83\u4f4e\uff0c\u4ece 0.5 \u5230 3 GPa \u4e0d\u7b49\uff0c\u56e0\u6b64\u626d\u8f6c\u521a\u6027\u8f83\u4f4e\u3002\u8fd9\u4e00\u7279\u6027\u4f7f\u5f97\u805a\u5408\u7269\u5728\u52a0\u8f7d\u65f6\u66f4\u5bb9\u6613\u53d1\u751f\u626d\u66f2\u3002<\/p>\n\n\n\n

          \u4e0d\u8fc7\uff0c\u5f53\u5141\u8bb8\u4e00\u5b9a\u7a0b\u5ea6\u7684\u53d8\u5f62\u65f6\uff0c\u5b83\u4eec\u7684\u67d4\u97e7\u6027\u548c\u5f39\u6027\u4f1a\u4f7f\u5176\u53d7\u76ca\u3002\u4f8b\u5982\uff0c\u5b83\u4eec\u6709\u52a9\u4e8e\u67d4\u6027\u8026\u5408\u3002\u5728\u65bd\u52a0\u76f8\u540c\u626d\u77e9\u7684\u60c5\u51b5\u4e0b\uff0c\u6bd4\u8f83\u91d1\u5c5e\u68d2\u548c\u805a\u5408\u7269\u68d2\u7684\u626d\u8f6c\u72b6\u6001\uff0c\u540e\u8005\u7684\u89d2\u5ea6\u76f8\u5bf9\u66f4\u5927\u3002\u8fd9\u8bc1\u660e\u4e86\u4e24\u79cd\u6750\u6599\u5728\u626d\u8f6c\u521a\u5ea6\u4e0a\u7684\u5dee\u5f02\u3002 <\/p>\n\n\n\n

          \u76f8\u6bd4\u4e4b\u4e0b\uff0c\u590d\u5408\u6750\u6599\u5177\u6709\u53ef\u8c03\u7279\u6027\u7684\u4f18\u52bf\uff0c\u5176\u626d\u8f6c\u521a\u5ea6\u53d6\u51b3\u4e8e\u7ea4\u7ef4\u548c\u57fa\u4f53\u6750\u6599\u3002\u867d\u7136\u590d\u5408\u6750\u6599\u5177\u6709\u5f88\u9ad8\u7684\u521a\u6027\u6f5c\u529b\uff0c\u4f46\u4f17\u6240\u5468\u77e5\uff0c\u8fd9\u4e9b\u7ed3\u6784\u5177\u6709\u5404\u5411\u5f02\u6027\u3002\u8fd9\u610f\u5473\u7740\u521a\u5ea6\u53d6\u51b3\u4e8e\u8d1f\u8f7d\u7684\u65b9\u5411\u3002\u7ea4\u7ef4\u52a0\u56fa\u6392\u5217\u81f3\u5173\u91cd\u8981\uff0c\u9700\u8981\u7cbe\u786e\u5b9a\u4f4d\u624d\u80fd\u83b7\u5f97\u6700\u4f73\u6027\u80fd\u3002\u6b64\u5916\uff0c\u5728\u590d\u5408\u6750\u6599\u7b49\u5f02\u8d28\u6750\u6599\u4e2d\uff0c\u626d\u8f6c\u521a\u5ea6\u7279\u6027\u4e5f\u53ef\u80fd\u4e0d\u540c\uff0c\u6a2a\u622a\u9762\u7684\u6240\u6709\u90e8\u5206\u53ef\u80fd\u4e0d\u4e00\u81f4\u3002<\/p>\n\n\n\n

          \u8868 1\uff1a\u91d1\u5c5e\u3001\u805a\u5408\u7269\u548c\u590d\u5408\u6750\u6599\u7684\u626d\u8f6c\u521a\u6027\u6bd4\u8f83<\/h4>\n\n\n\n
          \u6750\u6599\u7c7b\u578b<\/strong><\/td>\u6750\u6599\u793a\u4f8b<\/strong><\/td>\u526a\u5207\u6a21\u91cf (G)\uff0c\u5355\u4f4d GPa<\/strong><\/td>\u6781\u60ef\u6027\u77e9 (J)(<\/strong> \u00d710-6<\/sup>m4<\/sup><\/strong><\/td>\u626d\u8f6c\u521a\u6027\uff08GJ\uff09<\/strong> \u5355\u4f4d\uff1a\u725b\u987f\u7c732<\/sup><\/strong><\/td>\u76f8\u5bf9\u5bc6\u5ea6\uff08\u5343\u514b\/\u7acb\u65b9\u7c73\uff09<\/strong><\/td>\u5e38\u89c1\u5e94\u7528<\/strong><\/td><\/tr>
          \u91d1\u5c5e<\/td>\u94a2\uff08AISI 1045\uff09<\/td>80<\/td>5<\/td>400<\/td>7050<\/td>\u4f20\u52a8\u8f74\u3001\u9f7f\u8f6e\u3001\u673a\u68b0\u96f6\u4ef6<\/td><\/tr>
          \u91d1\u5c5e<\/td>\u94dd\uff086061-T6\uff09<\/td>26<\/td>4<\/td>104<\/td>2700<\/td>\u98de\u673a\u90e8\u4ef6\u3001\u6c7d\u8f66\u90e8\u4ef6<\/td><\/tr>
          \u805a\u5408\u7269<\/td>\u805a\u4e59\u70ef\uff08\u9ad8\u5bc6\u5ea6\u805a\u4e59\u70ef\uff09<\/td>0.8<\/td>3<\/td>2.4<\/td>950<\/td>\u7ba1\u9053\u3001\u67d4\u6027\u63a5\u5934<\/td><\/tr>
          \u805a\u5408\u7269<\/td>\u805a\u78b3\u9178\u916f\uff08PC\uff09<\/td>2.3<\/td>3.5<\/td>8.05<\/td>1200<\/td>\u5b89\u5168\u5934\u76d4\u3001\u6c7d\u8f66\u73bb\u7483<\/td><\/tr>
          \u590d\u5408\u6750\u6599<\/td>CFRP<\/td>100<\/td>6<\/td>600<\/td>1600<\/td>\u822a\u7a7a\u822a\u5929\u90e8\u4ef6\u3001\u9ad8\u6027\u80fd\u8fd0\u52a8\u5668\u6750<\/td><\/tr>
          \u590d\u5408\u6750\u6599<\/td>CFRP<\/td>25<\/td>4.5<\/td>112.5<\/td>1850<\/td>\u8239\u8236\u90e8\u4ef6\u3001\u6c7d\u8f66\u9762\u677f<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

          \u7ed3\u6784\u5de5\u7a0b\u4e2d\u7684\u626d\u8f6c\u521a\u6027<\/h2>\n\n\n\n

          \u6469\u5929\u5927\u697c\u548c\u6865\u6881\u7684\u626d\u8f6c\u521a\u6027<\/h3>\n\n\n\n

          \u65cb\u8f6c\u521a\u5ea6\u662f\u5de5\u7a0b\u7ed3\u6784\u4e2d\u7684\u4e00\u4e2a\u5173\u952e\u56e0\u7d20\uff0c\u5c24\u5176\u662f\u5728\u6469\u5929\u5927\u697c\u548c\u6865\u6881\u7684\u5efa\u9020\u4e2d\u3002\u5de5\u7a0b\u4e2d\u7684\u4e00\u4e2a\u56e0\u7d20\u662f\uff0c\u7ed3\u6784\u5fc5\u987b\u80fd\u591f\u5728\u4e0d\u626d\u66f2\u7684\u60c5\u51b5\u4e0b\u627f\u53d7\u8f7d\u8377\u3002 <\/p>\n\n\n\n

          \u5728\u5efa\u7b51\u6216\u6865\u6881\u65bd\u5de5\u4e2d\uff0c\u6700\u597d\u80fd\u6709\u4e00\u4e2a\u6709\u52a9\u4e8e\u627f\u53d7\u98ce\u529b\u6216\u5730\u9707\u529b\u7b49\u6a2a\u5411\u529b\u7684\u626d\u8f6c\u521a\u5ea6\u503c\u3002 <\/p>\n\n\n\n

          \u4f8b\u5982\uff0c\u9ad8\u5c42\u5efa\u7b51\u548c\u60ac\u81c2\u6865\u5fc5\u987b\u5177\u5907\u8db3\u591f\u7684\u6297\u626d\u521a\u5ea6\uff0c\u4ee5\u62b5\u5fa1\u53ef\u80fd\u5bfc\u81f4\u574d\u584c\u7b49\u73b0\u8c61\u7684\u626d\u66f2\u3002\u5efa\u7b51\u6216\u6865\u6881\u7684\u5916\u5f62\u8bbe\u8ba1\u65b9\u5f0f\u4ee5\u53ca\u8d28\u91cf\u548c\u521a\u5ea6\u6a21\u5f0f\u901a\u5e38\u90fd\u662f\u4e3a\u4e86\u5c06\u626d\u8f6c\u6548\u5e94\u964d\u81f3\u6700\u4f4e\u3002<\/p>\n\n\n\n

          \"\u65cb\u8f6c\u521a\u5ea6\u662f\u5de5\u7a0b\u7ed3\u6784\u4e2d\u7684\u4e00\u4e2a\u5173\u952e\u56e0\u7d20\"<\/figure>\n\n\n\n
          \"\u8db3\u591f\u7684\u6297\u626d\u8f6c\u521a\u5ea6\u4f1a\u5bfc\u81f4\u574d\u584c\u7b49\u73b0\u8c61\"<\/figure>\n\n\n\n

          \u6881\u548c\u67f1\u626d\u8f6c\u521a\u6027\u7684\u91cd\u8981\u6027<\/h3>\n\n\n\n

          \u626d\u8f6c\u521a\u5ea6\u5bf9\u4e8e\u6881\u548c\u67f1\u4e5f\u81f3\u5173\u91cd\u8981\u3002\u8fd9\u4e9b\u7ed3\u6784\u6784\u4ef6\u5e94\u5177\u6709\u62b5\u6297\u626d\u8f6c\u529b\u77e9\u548c\u652f\u6491\u8377\u8f7d\u7684\u80fd\u529b\u3002\u4efb\u4f55\u627f\u53d7\u626d\u8f6c\u5e94\u529b\u7684\u6784\u4ef6\uff0c\u5982\u60ac\u81c2\u6216\u4e0d\u5bf9\u79f0\u8377\u8f7d\u7684\u6881\uff0c\u90fd\u4e0d\u80fd\u6709\u592a\u5927\u7684\u626d\u8f6c\u3002 <\/p>\n\n\n\n

          \u540c\u6837\uff0c\u67f1\u5b50\u4e5f\u9700\u8981\u8bbe\u8ba1\u6210\u80fd\u591f\u627f\u53d7\u56e0\u504f\u5fc3\u8377\u8f7d\u6216\u4fa7\u5411\u529b\u800c\u4ea7\u751f\u7684\u626d\u8f6c\u529b\u77e9\u3002\u8fd9\u4e9b\u6784\u4ef6\u7684\u6297\u626d\u521a\u5ea6\u53ef\u80fd\u53d6\u51b3\u4e8e\u8fd9\u4e9b\u6784\u4ef6\u7684\u6a2a\u622a\u9762\u5f62\u72b6\u3001\u6240\u7528\u6750\u6599\u548c\u652f\u6491\u6761\u4ef6\u3002 <\/p>\n\n\n\n

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