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We will continue to improve the company's internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth processes, responsibilities in place; to further strengthen internal controls, play a control post independent oversight role of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management, streamline, standardize related transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \o constantly perfect ERP, and BFS++, and PI, and MIS, and SCM, information system based construction, full integration information system, achieved information resources shared; to expand Portal system application of breadth and depth, play information system on enterprise of Assistant role; to perfect daily run maintenance operation of records, promote problem reasons analysis and system handover; to strengthening BFS++, and ERP, and SCM, technology application of training, improve employees application information system of capacity and level. Humanistic care to ensure \To strengthening Humanities care, continues to foster company wind clear, and gas are, and heart Shun of culture atmosphere; strengthening love helped trapped, care difficult employees; carried out style activities, rich employees life; strengthening health and labour protection, organization career health medical, control career against; continues to implementation psychological warning prevention system, training employees health of character, and stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \d business plans management, will business business plans cover to all level, ensure the business can control in control; to close concern financial, and coal electric linkage, and energy-saving scheduling, national policy trends, strengthening track, active should; to implementation State-owned assets method, further specification business financial management; to perfect risk tube control system, achieved risk recognition, and measure, and assessment, and report, and control feedback of closed ring management, improve risk prevention capacity. o further standardize trading, and strive to achieve \ding to law, standardize and fair.\nce management, to ensure that potential employees \o fly\o strengthen performance management, process control, enhance employee evaluation and levels of effective communication to improve performance management. o further quantify and refine employee standards ... Work, full play party, and branch, and members in \se\n the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \good\dership construction, full play levels cadres in enterprise development in the3-1. 用截面法求图示各杆在截面1-1、2-2、3-3上的扭矩。并于截面上有矢量表示扭矩，指

出扭矩的符号。作出各杆扭矩图。

2kN.m 1 4kN.m 2 2kN.m 3 1 5kN.m 2 2kN.m 3kN.m

1 3 2 1 2 (a) (b) T 2kN.m T 1kN.m

x x 2kN.m 2kN.m 4kN.m 3.2. 直径D=50 mm的圆轴受扭矩T=2.15 kN.m的作用。试求距轴心10 mm处的切应力，并

求横截面上的最大切应力。 解: (1) 圆轴的极惯性矩

32?0.054IP???6.14?10?7 m4

3232点的切应力

?D4T?2.15?103?0.01????35.0 MPa ?7Ip6.14?10(2) 圆轴的抗扭截面系数

6.14?10?7Wt???2.456?10?5 m3

D/20.05/2截面上的最大切应力

Ip?max

T2.15?103???87.5 MPa ?5Wt2.456?103-3. 图示阶梯形圆轴直径分别为d1=40 mm，d2=70 mm，轴上装有三个带轮。已知由轮3输

入的功率为P3=30 kW，轮1输出的功率为P1=13 kW，轴作匀速转动，转速n=200 r/min，材料的许用剪应力[τ]=60 MPa，G=80 GPa，许用扭转角[θ]=2 o/m。试校核轴的强度和刚度。

m3 m2 m1 A D C B d2 d1 1 3 2

1m 0.5m 0.3m

解：(1) 计算外力偶矩

f backbone backbone role; to full strengthening members youth work, full play youth employees in company development in the of force role; to improve independent Commission against corruption work level, strengthening on enterprise business key link of effectiveness monitored. , And maintain stability. To further strengthen publicity and education, improve the overall legal system. We must strengthen safety management, establish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. o conscientiously sum up the Olympic security controls, promoting integrated management to a higher level, higher standards, a higher level of development. Employees, today is lunar calendar on December 24, the ox Bell is about to ring, at this time of year, we clearly feel the pulse of the XX power generation company to flourish, to more clearly hear XX power generation companies mature and symmetry breathing. Recalling past oneanother across a railing, we are enthusiastic and full of confidence. Future development opportunities, we more exciting fight more spirited. Employees, let us together across 2013 full of challenges and opportunities, to create a green, low-cost operation, full of humane care of a world-class power generation company and work hard! The occasion of the Spring Festival, my sincere wish that you and the families of the staff in the new year, good health, happy, happyWe will continue to improve the company's internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth processes, responsibilities in place; to further strengthen internal controls, play a control post independent oversight role of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management, streamline, standardize related transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \o constantly perfect ERP, and BFS++, and PI, and MIS, and SCM, information system based construction, full integration information system, achieved information resources shared; to expand Portal system application of breadth and depth, play information system on enterprise of Assistant role; to perfect daily run maintenance operation of records, promote problem reasons analysis and system handover; to strengthening BFS++, and ERP, and SCM, technology application of training, improve employees application information system of capacity and level. Humanistic care to ensure \To strengthening Humanities care, continues to foster company wind clear, and gas are, and heart Shun of culture atmospherestrengthening love helped trapped, care difficult employees; carried out style activities, rich employees life; strengthening health and labour protection, organization career health medical, control career against; continues to implementation psychological warning prevention system, training employees health of character, and stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \d business plans management, will business business plans cover to all level, ensure the business can control in control; to close concern financial, and coal electric linkage, and energy-saving scheduling, national policy trends, strengthening track, active should; to implementation State-owned assets method, further specification business financial management; to perfect risk tube control system, achieved risk recognition, and measure, and assessment, and report, and control feedback of closed ring management, improve risk prevention capacity. o further standardize trading, and strive to achieve \ding to law, standardize and fair.\nce management, to ensure that potential employees \o fly\o strengthen performance management, process control, enhance employee evaluation and levels of effective communication to improve performance management. o further quantify and refine employee standards ... Work, full play party, and branch, and members in \se\n the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \good\dership construction, full play levels cadres in enterprise development in theP113?9549??620.7Nmn200

P30m3?95493?9549??1432.4Nmn200m1?9549(2) 计算扭矩

T12??m1??620.7 N.m T23??m3??1432.4 N.m

T 1kN.m 620.7N.m 1432.4N.m

(3) 计算抗扭截面系数

x Wt1?Wt2?(4) 强度校核

?16d13?3d2??16?0.043?12.56?10?6m3

?16?16?0.073?67.31?10?6m3?max1??max2?强度足够。

(5) 计算截面极惯性矩

T12620.7??49.42MPa?????6Wt112.56?10T231432.4??21.28MPa?????6Wt267.31?10

Ip1?Wt1?Ip2(6) 刚度校核

d10.04?12.56?10?6??25.12?10?8 m422 d20.07?Wt2??67.31?10?6??23.56?10?7 m322T12180o620.7180o?max1?????1.77o/m9?8GIp1?80?10?25.12?10?oo[?]

?max2?T231801432.4180????0.435o/m[?]9?7GIp2?80?10?23.56?10?刚度足够。

注：本题中扭矩的符号为负，而在强度和刚度计算中，扭矩用其数值代入。

f backbone backbone role; to full strengthening members youth work, full play youth employees in company development in the of force role; to improve independent Commission against corruption work level, strengthening on enterprise business key link of effectiveness monitored. , And maintain stability. To further strengthen publicity and ducation, improve the overall legal system. We must strengthen safety management, establish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. o conscientiously sum up the Olympic security controls, promoting integrated management to a higher level, higher standards, a higher level of development. Employees, today is lunar calendar on December 24, the ox Bell is about to ring, at this time of year, we clearly feel the pulse of the XX power generation company to flourish, to more clearly hear XX power generation companies mature and symmetry breathing. Recalling past one 上海理工大学 力学教研室 another across a railing, we are enthusiastic and full of confidence. Future development opportunities, we more exciting fight more spirited. Employees, let us together across 2013 full of challenges and opportunities, to create a green, low-cost operation, full of humane care of a world-class power generation company and work hard! The occasion of the Spring Festival, my sincere wish that you and the families of the staff in the new year, good health, happy, happy1

We will continue to improve the company's internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth processes, responsibilities in place; to further strengthen internal controls, play a control post independent oversight role of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management, streamline, standardize related transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \o constantly perfect ERP, and BFS++, and PI, and MIS, and SCM, information system based construction, full integration information system, achieved information resources shared; to expand Portal system application of breadth and depth, play information system on enterprise of Assistant role; to perfect daily run maintenance operation of records, promote problem reasons analysis and system handover; to strengthening BFS++, and ERP, and SCM, technology application of training, improve employees application information system of capacity and level. Humanistic care to ensure \To strengthening Humanities care, continues to foster company wind clear, and gas are, and heart Shun of culture atmospherestrengthening love helped trapped, care difficult employees; carried out style activities, rich employees life; strengthening health and labour protection, organization career health medical, control career against; continues to implementation psychological warning prevention system, training employees health of character, and stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \d business plans management, will business business plans cover to all level, ensure the business can control in control; to close concern financial, and coal electric linkage, and energy-saving scheduling, national policy trends, strengthening track, active should; to implementation State-owned assets method, further specification business financial management; to perfect risk tube control system, achieved risk recognition, and measure, and assessment, and report, and control feedback of closed ring management, improve risk prevention capacity. o further standardize trading, and strive to achieve \ding to law, standardize and fair.\nce management, to ensure that potential employees \o fly\o strengthen performance management, process control, enhance employee evaluation and levels of effective communication to improve performance management. o further quantify and refine employee standards ... Work, full play party, and branch, and members in \se\n the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \good\dership construction, full play levels cadres in enterprise development in the3.4. 图示传动轴的转速为n=500 r/min，主动轮1输入功率P1=368 kW，从动轮2、3分别输

出功率P2=147 kW，P3=221 kW。已知[τ]=70 MPa，[θ]=1 o/m，G=80 GPa。 (1) 确定AB段的直径d1和BC段的直径d2；

(2) 若AB和BC两段选用同一直径，试确定其数值。

(3) 主动轮和从动轮的位置如可以重新安排，试问怎样安置才比较合理？

P1 P 2 P 3

A B C

2 3 1

400 500 解：(1) 计算外力偶矩

P1368?9549??7028 N.mn500P147m2?95492?9549??2807N.m

n500P221m3?95493?9549??4221 N.mn500m1?9549(2) 计算内力-扭矩

T12??m1??7028 N.mT23??m3??4221N.m(3) 计算AB段的直径d1和BC段的直径d2

根据强度条件设计

Wt1??16d13?T12[?]16T12316?7028d1?3??80 mm6?[?]??70?10Wt2?d2?根据刚度条件设计

3

?163d2?T23[?]16T23316?4221??67 mm?[?]??70?106

Ip1??d1?4?32d14?T12180?G[?]?32T12?180432?7028?180??84.6 mmG?2[?]80?109??2?1f backbone backbone role; to full strengthening members youth work, full play youth employees in company development in the of force role; to improve independent Commission against corruption work level, strengthening on enterprise business key link of effectiveness monitored. , And maintain stability. To further strengthen publicity and education, improve the overall legal system. We must strengthen safety management, establish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. o conscientiously sum up the Olympic security controls, promoting integrated management to a higher level, higher standards, a higher level of development. Employees, today is lunar calendar on December 24, the ox Bell is about to ring, at this time of year, we clearly feel the pulse of the XX power generation company to floursh, to more clearly hear XX power generation companies mature and symmetry breathing. Recalling past one

another across a railing, we are enthusiastic and full of confidence. Future development opportunities, we more exciting fight more spirited. Employees, let us together across 2013 full of challenges and opportunities, to create a green, low-cost operation, full of humane care of a world-class power generation company and work hard! The occasion of the Spring Festival, my sincere wish that you and the families of the staff in the new year, good health, happy, happy2