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结构力学试题及答案汇总(完整版)

2022-03-19 来源：吉趣旅游网

. 密封……………………………………………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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the结构力学试题答案汇总

一、选择题(每小题3分,共18分)

1. 图示体系的几何组成为：（ A ） A. 几何不变，无多余联系； B. 几何不变，有多余联系； C. 瞬变； D. 系程工筑建名姓）系（院院学题明答三要不内号线学封密常变。

（第1题）（第4题）

2. 静定结构在支座移动时，会产生：（ C ）

A. 内力； B. 应力； C. 刚体位移； D. 变形。

3. 在径向均布荷载作用下，三铰拱的合理轴线为：（ B ）

A．圆弧线； B．抛物线； C．悬链线； D．正弦曲线。

4. 图示桁架的零杆数目为：（ D ）

A. 6； B. 7； C. 8； D. 9。

5. 图 a 结构的最后弯矩图为：（ A ）

A．图 b； B．图 c ； C．图 d ； D．都不对。

6. 力法方程是沿基本未知量方向的：（ C ） A．力的平衡方程； B．位移为零方程；

C．位移协调方程； D．力的平衡及位移为零方程。

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 matureand 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, happy………………………………………………………………………………………………………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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

二、填空题（每题3分,共9分）

1.从几何组成上讲，静定和超静定结构都是___几何不变____体系，前者___无__多余约束而后者____有___多余约束。 2. 图 b 是图 a 结构 ___B__ 截面的 __剪力__ 影响线。

3. 图示结构 AB 杆 B 端的转动刚度为 ___i___, 分配系数为 ____1/8 ____, 传递系数为 ___-1__。

三、简答题（每题5分，共10分）

1.静定结构内力分析情况与杆件截面的几何性质、材料物理性质是否相关？为什么？

答：因为静定结构内力可仅由平衡方程求得，因此与杆件截面的几何性质无关，与材料物理性质也无关。

2.影响线横坐标和纵坐标的物理意义是什么？

答：横坐标是单位移动荷载作用位置，纵坐标是单位移动荷载作用在此位置时物理量的影响系数值。

四、计算分析题，写出主要解题步骤(4小题,共63分) 1.作图示体系的几何组成分析（说明理由），并求指定杆1和2的轴力。（本题16分）

（本题16分）1.因为w=0 所以本体系为无多约束的几何不变体系。（4分）

FN1=- FP （6分）； FN2=

10。 FP（6分）

32.作图示结构的 M 图。（本题15分）

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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the（1）（2）

3.求图示结构Ａ、Ｂ两截面的相对转角， EI ＝常数。（本题16

分）

（3）（4）

4. 用位移法计算图示结构，并作 M 图， E = 常数。（本题16分）

三、计算分析题，写出主要解题步骤(4小题,共63分) （本题15分）2.

（5分）

杆DC、CB （各3分）；杆AC （3分）

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, 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the（本题16分）3.

（ 4 分）

（ 8 分）

（本题16分）4.

一、是非题（每题2分，共10分）

1．功的互等定理仅适用于线性变形体系。 ( )

2. 对图2中a图所示桁架用力法计算时，取图b作为基本体系(杆AB被去掉),则

其典型方程为：

。（）

图2 图3

3．图3所示梁在一组移动荷载组作用下，使截面K产生最大弯矩的最不利荷载

位置如图（a）所示。（）

4. 图示结构用位移法求解时，基本未知量数目为3，用力法求解，则基本未知量

数目为5。（）

5. 位移法典型方程的右端项一定为零。（）二、填空题（共18分）

1．图1所示体系是____几何不变___体系，它有___0___个多余约束。（4分）

图1 图2

2．图2所示桁架杆1的内力为。（4分） 3．力法方程中柔度系数代表，自由项代表。（4分）

4．已知荷载作用下结构的M图如图所示，画出其剪力图。（6分）

图4

M图 Q图

三、作图示结构的M、Q图。d=2m。（20分）

四、用力法计算，并作图示对称结构M图。EI=常数。（20分）

五、用位移法计算图示刚架，并画出M图。（20分）

六、作图示梁的的影响线，并利用影响线求给定荷载作用下

的值。(12分)

课程名称：结构力学I（样卷解答）考试班级：土木02（1、2、3、水建）

一、是非题（每题2分，共10分）

1．(  ) 2. (  ) 3． (  ) 4． (  ) 5． (  ) 二、填空题（共18分）

1．_几何不变体系（3分）， 0 （1分） 2． 0 （4分）

3．基本结构在Xj1作用下产生的沿Xi的位移（2分）

基本结构在仅荷载作用下产生的沿Xi的位移（2分）

5 ql/8 4．

3ql/8 （6分）正负号各1分

三、（20分）

支座反力20KN, 10KN, 20KN, 10KN 每个图形10分，每根杆2分

四、．（20分）

q 半结构（2分）力法方程 11X1 IP0 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 e and symmetry breathi ng. Recalli ng past one a nother acr oss a raili ng, we are e nthusiasti c and full of confide nce. Future development opportunities, we m ore exciting fight more spirited. Employees, let us toget her acr oss 2013 full of challe nges a nd opportunities, to create a green, l ow-cost operation, full of huma ne care of a world-cl ass power ge neration com pany and work hard! The occasi on of the Spring Festival, my si ncere wi sh that y ou and the families X1

力法基本体（系3分）

2分）

sion, 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 w year, good health, happy, happy— 9 —

（ducation, supervi of the staff in the neWe 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the l ql2/8 X1=1 MP图（2分）

M1图系数： 112l3/3EI; （2分） IPql4/24EI; 解得： X1ql/16 （1分）最后弯矩图 ql2/16 ql2/16 3ql2/32 3ql2/32 M图（4分）

选择其它基本体系可参照以上给分。

五、（20分）

（2分）

2分） of year, we clearly feel the pulse of the XX power generation company to flourish, to more clearly hear XX power generation companies mature （ng, at this time 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the Z1 Z2 P 基本体系 3iZ1=1

4iZ23i2iM1图（ 3分）

（ 2分） 6 i Z2=1 l 3 i l M 2图 15 30 15 82 40 M图 (Pl304) /（ 4分）（ 2分）图（ 2分）

rr6ii51110i , 12r2115l ,r22l2 , R1P0 , R2P16P,

分）

6i10iZ1Z20l6ilZi115l2516P0 （ 1分）

o flourish, to more clearly hear XX power generation companies mature

（on company t

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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the25Pl3Z1912EI15Pl2Z2912EI

( 1分 ) 最后弯矩图

六、．（12分）

A B 1m C D E 1m + F G MB影响线 1m （7

分）

11MB11303120100185KN.m22 （5分）

试卷2

一、选择题（本题共五题，每题4分，共20 分。在每小题给出的四个选项中，

只有一项符合题目要求。把所选项前的编号填在括号内）一、选择题答案：

1、① 2、② 3、③ 4、③ 5、① 1、图 1 所示的体系是（） ①无多余约束的几何不变体系； ②有多余约束的几何不变体系； ③几何瞬变体系；

④几何可变体系，但不是几何瞬变体系。

2、如图 2 所示的结构在外力作用下，CD杆D端的剪力

（

① ②

③

④

图

）

on companies mature

clearly hear XX power generatiWe 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the 3、如图3所示结构，若支座B产生位移，则该结构将（）

①不产生位移； ②产生内力；

③不产生内力； ④产生变形。

图3

4、用力法解图4所示结构的未知量个数为（ ① 5个； ② 6个； ③ 9个；

④ 12个；

图4

her 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 ）her standards, a higWe 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the 5、位移法方程的实质是（）

①平衡方程； ②位移方程； ③物理方程；

④平衡方程与位移方程。

二、填空题（本题共5题，每题4分，共20 分。把正确的答案填在题中横线上）二、填空题

1、微小、几何、瞬变 2、12

3、实际荷载，虚加的单位力 4、位移、方向上的位移 5、4 、 2

1、原为几何可变体系，经微小位移后又成为几何不变的体系称为

瞬变体系。

2、如图5所示桁架中的零杆 15 根。

图5

3、用虚功原理导出计算结构在载荷作用下位移的单位载荷法时，其虚功方程中的位移和变形是由实际荷载引起的，而作虚功的力是虚功的单位力及其产生的内力。

4、力法方程就其性质而言，属于位移方程，方程中的载荷项示基本结构在载荷作用下沿方向上的位移。

5、图6所示刚架，假定忽略所有杆件的轴向变形，按位移法求解时，有 4 个独立的角位移未知量和有 2 个独立的线位移未知量。

表

图6

三、计算题（共 60 分）

1、作图7示刚架弯矩、剪力图。(15分)

图7

2、利用影响线求图8多跨静定梁C截面的弯矩值。（10分）

图8

3、求图9多跨静定梁的D截面的竖向位移。

图9 4、用力法解图10示刚架，并作刚架的最后弯矩图。

图10

5、用位移法解图11示刚架，并绘刚架弯矩图。

课程名称：函授本科结构力学（样卷解答）

一、选择题 1、 ① 2、② 3、③ 4、③ 5、①

二、填空题

1、微小、几何、瞬变 2、12

3、实际荷载，虚加的单位力 4、位移、方向上的位移 5、4 、 2

三、计算题（共 60 分）

1、作图7示刚架弯矩、剪力图。(15分)

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

图ntegrated management to a 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the 图7 解：（1）求支反力（3分）

（2）作图（6分）（3）作图（6分）

nism. 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 happy20

on as one of the traffic safety management mechahealth, happy, 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

2、利用影响线求图8多跨静定梁C截面的弯矩值。图8

解：（1）作影响线（４分）（2）求

（6分）

10分）

on companies mature （clearly hear XX power generatiWe 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

（下侧受拉）

3、求图9多跨静定梁的D截面的竖向位移。

图9

（同侧）

（异侧）

4、用力法解图10示刚架，并作刚架的最后弯矩图。

图10

（3分）

（4）求

将以上系数代入方程求解得：

（7分）

（5）用

控制截面弯矩，作弯矩图（5分）

（左侧受拉）（右侧受拉）（右侧受拉）（左侧受拉）

5、用位移法解图11示刚架，并绘刚架弯矩图。

图11

解：（1）确定位移法基本未知量为：刚结点C的转角

，BC杆的水平位移

，

（2）加上附加约束形成位移法基本结构如图（3）列位移法方程

（2分）

he 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

endar on December 24, tWe 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

（4）作图，求

，

（5）令

作

图，求

on as one of the traffic safety management mecha health, happy, 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

（6）令

作图，求

位移法方程是：

求得：（7）用

控制截面弯矩，作弯矩图

（左侧受拉）

（右侧受拉）

土木建筑工程学院函授04级土木工程（专科样卷）

1．两个弯矩图的叠加不是指图形的简单拼合，而是指两图对应的弯矩纵矩叠加。（）

2．位移法以结点力为基本未知量。（）

3．n次超静定结构，任意去掉n个多余约束均可作为力法基本结构。（） 4．位移法的典型方程与力法的典型方程一样，都是变形协调方程。（）

答案：1. ( √ ) 2.（ × ）3．（ × ）4．（ × ）二、单项选择题（每题4分，共16分）

1．（ B ） 2．（ D ）（ B ） 3．（ B ） 4．（ A ）

三、填空题（每题4分，共16分） 1． 1 ， 2 ， 3 ， 2 。 2． AF、BF、BE、CE 。

3．由单位力Xj=1产生的沿Xi方向的位移，由荷载产生的沿Xi方向的位移。 4．多余未知力，独立的结点位移

二、单项选择题（每题4分，共16分）

1．下图所示体系为（）（A）几何可变体系

（C）无多余约束的几何不变体（B）瞬变体系

（D）有多余约束的几何不变体

2．图示超静定结构，如果用力法求解，则基本未知量个数为（），如果用位移法求

解，则基本未知量个数为（）。 A．1个 B．2个 C．3个 D．5个题2图 ωω1ω2yω(C)y(A)y1y2(B) 3．下列图乘正确的是（） 4．下图所示虚拟力状态可求出（）（A）A，B

两点的相对线位

移（B）A，B两点位移（C）A，B

两截面的相对转

1． 1 ， 2 ， 3 ， 2 。 2． AF、BF、BE、CE 。

3．由单位力Xj=1产生的沿Xi方向的位移，由荷载产生的沿Xi方向的位移。 4．多余未知力，独立的结点位移三、填空题（每题4分，共16分）

1．一根链杆有 1 个约束，一个铰支座有 2 个约束，

一个固定支座有 3 个约束，一个定向支撑 2 个约束。 2．下图所示桁架中内力为零的杆

分别为 CE. BE BF AF 杆。

3．力法方程中柔度系数自由项

代表由单位力Xj=1产生的沿Xi方向的位移，

代表由荷载产生的沿Xi方向的位移。

4．力法以多余未知力为基本量，

位移法以独立的结点位移为基本量。

作图示刚架的轴力，剪力，弯矩图

五、计算题（本题15分）

求结点C的水平位移，设各杆EA相同。

六、计算题（本题15分）

用力法计算图示结构，并作弯矩图。

七、计算题（本题15分）

用位移法计算图示结构，并作弯矩图。

土木建筑工程学院函授04级土木工程（专科样卷解答）

一、判断题（每小题2分，共8分） 1. ( √ ) 2.（ × ） 3．（ × ） 4．（ × ）

二、单项选择题（每题4分，共16分）

1．（ B ） 2．（ D ）（ B ） 3．（ B ） 4．（ A ）

三、填空题（每题4分，共16分） 1． 1 ， 2 ， 3 ， 2 。 2． AF、BF、BE、CE 。

3．由单位力Xj=1产生的沿Xi方向的位移，由荷载产生的沿Xi方向的位移。 4．多余未知力，独立的结点位移

四、作图题（本题15分）作图示刚架的轴力，剪力，弯矩图

解：（1）求解支座反力由由由

，得，得，得

（2）作内力图

五、计算题（本题15分）

求结点C的水平位移，设各杆EA相同。

解：由，得

由，得

由

，得

在C处虚设单位力，求出各杆轴力如图所示：

her 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 higher level, higher standards, a higWe 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the(122)paEA

六、计算题（本题15分） B0C1020-1A1D11FN1图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, esta and symmetry breathi ng. Recalli ng past one a nother acr oss a raili ng, we are e nthusiasti c and full of confide nce. Future development opportunities, we m ore exciting fight more spirited. Employees, let us toget her acr oss 2013 full of challe nges a nd opportunities, to create a green, l ow-cost operation, full of huma ne care of a world-cl ass power ge neration com pany and work hard! The occasi on of the Spring Festival, my si 用力法计算图示结构，并作弯矩图。解：图示结构为一次超静定结构，取基本结构如下图： blish 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 ou and the families of the staff in the ne w year, good health, happy, happy— 37 —

ncere wish that yWe 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the 4CBAM1图计算其系数及自由项为： 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 strengt 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 ge

CB4hen 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 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, happyA38 MP图 neration company and work 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

列力法方程：

解得：

杆端弯矩：

，

七、计算题（本题15分）

用位移法计算图示结构，并作弯矩图。

，，

解：（1）此刚架有一个角位移，一个线位移（2）杆端转角位移方程为：

（3）取结点B为脱离体由

，

，得：

①

（4）取BC杆为脱离体

由，，，得：

②

联立①、②求解，得：，

，

广西大学2004年硕士研究生入学考试试卷

使用专业：土木工程各专业

考试科目代码：425 考试科目名称：结构力学

请注意：答案必须写在答题纸上（写在试卷上无效）。一、填空题（共45分）答案：几何瞬变体系（4分），1 （1分） 2．BF、BH、AF、DH、AE、DG （5分）

1．图1所示体系是_____________________体系，它有_____个多余约束。（4分）

图1 图2

2．图2所示桁架内力为零的杆件分别是。（5分） 3．求图示桁架杆1的内力N1= 。（5分）

图3 图4

4．图4中a图所示结构，取图b所示力法基本结构，则力法方程为，其中5．图示结构AB杆A端的剪力

。（6分）为__________。（6分）

图5 图6

6．用先处理法求解如图所示结构（图中圆括号内数码为结点定位向量），则荷载向量{P}

= 。（6分）

7．图7所示结构EI，EA均为常数，则C截面的弯矩为。（5

Pl/2Cl分）

l/2l/2

图如图8所示，

常数。截面

的转角

8．已知荷载作用下梁的= 。(6分)

图8

二、求图示结构在荷载作用下C点的竖向位移

（EI=常量）。(20分)

三、用力法计算，并绘图示结构的M图。E=常数。（24分）

四、用位移法作图示结构M图。E=常数。（26分）

五、作图示结构

、

的影响线，并利用影响线求图示结构在移动集中

，已知P=10kN。（15

荷载作用下截面K弯矩的最大值（绝对值）

分）

六、图示体系，EI=常数，其中

，

，梁中点作用简谐荷载P(t)=sin(t)，

。求跨中振幅及最大挠度，并画出动力弯矩

图。（20分）

一、填空题（45分）

1．几何瞬变体系（4分），1 （1分） 2．BF、BH、AF、DH、AE、DG （5分） 3.

（6分） 4．

（3分）

7． 0 （5分） 8. （6分）

二、 (20分)

9分 6分

（5分）

三、 (24分)

对称性应用及基本体系（6分）力法方程（2分）

图（2分）图（2分）， M图（6分）

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 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, 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the(2分 )，

最后弯矩图

四、（26分）

基本未知量、基本体系（4分）

(2分 )， (2分 )

位移法基本方程：

（2分）

（6分）

（2分）

最后弯矩图（6分）

五、（18分） P=10KN

的影线（5分）

的影响线分）

（5分）

六、(20分)

柔度系数：

（3分）

自振频率：

动力系数：（3分）

振幅：（3分）

最大挠度：

响

on companies mature （clearly hear XX power generatiWe 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

（2分）

动弯矩图

（3分）

一、是非题(将判断结果填入括弧：以O表示正确，以X表示错误) (本大题共2小题，总计10分) 1、(本小题4分)

图示结构中DE杆的轴力

。 ( )

2、(本小题6分)

图示结构，

kN·m，___侧受拉，

kN·m。

力法典型方程的物理意义是：

A．结构的平衡条件； B．结点的平衡条件； C．结构的变形协调条件； D．结构的平衡条件及变形协调条件。

2、(本小题5分)

图示简支梁在所示移动荷载下截面K的最大弯矩值是：

A.140kN·m; B.160kN·m; C.180kN·m; D.150kN·m。

( )

3、(本小题6分)

原结构及温度变化

下的M图如下所示。若材料的有关特性改为

；；；。

，以外侧受拉为正，则：

三、填充题(将答案写在空格内) (本大题共3小题，总计14分) 1、(本小题4分)

在_____________________的条件下，图示结构各杆弯矩为零。

2、(本小题5分)

图a和图b所示为结构的两个状态，R与间的关系为_________。

(a)(b)

3、(本小题5分)

图示结构

常数，在给定荷载作用下，

=___________。

四、(本大题4分)

分析图示体系的几何组成。

五、(本大题4分)

根据位移法基本原理，草绘图示结构最后弯矩图形状为：

六、(本大题6分)

(a)第一状态 (b)第二状态

七、(本大题6分)

试确定图示结构位移法基本未知量数目和基本结构。两根链杆a和b需考虑轴向变形。

八、(本大题7分)

求图示桁架杆1和杆2的轴力。

九、(本大题7分)

用位移法作图示结构的M图，已知

。

用力法计算，并作图示结构由于支座移动引起的M图。EI=常数，不考虑链杆的轴向变形。

十一、(本大题18分)

试用力矩分配法作图示刚架的弯矩图。EI=常数。(计算二轮)

自测题一参考答案

一、是非题(将判断结果填入括弧：以O表示正确，以X表示错误) (本大题共2小题，总计10分) 1、(本小题4分)

(X) (4分)

2、(本小题6分)

二、选择题(将选中答案的字母填入括弧内) (本大题共3小题，总计14分) 1、(本小题3分)

(5分)

3、(本小题6分)

(A) 三、填充题(将答案写在空格内) (本大题共3小题，总计14分) 1、(本小题4分)

略去轴向变形影响。(4分)

2、(本小题5分)

R 3、(本小题5分)

ql2 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, esta and symmetry breathi ng. Recalli ng past one a nother acr oss a raili ng, we are e nthusiasti c and full of confide nce. Future development opportunities, we m ore exciting fight more spirited. Employees, let us toget her acr oss 2013 full of challe nges a nd opportunities, to create a green, l ow-cost operation, full of huma ne care of a world-cl ass power ge neration com pany and work hard! The occasi on of the Spring Festival, my si (D) (5分)

blish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. o conscientiously sum up the Olympic security control ou and the families of the staff in the ne w year, good health, happy, happy— 55 — (3分)

(6分)

分)

(5s, promoting integrated management to a ncere wish that yWe 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the四、(本大题4分)

几何不变，有一个多余约束。(4分)

五、(本大题4分)

(4分)

六、(本大题6分)

T12P112，而第二状态内力为零，故

T210，故

T12T21 七、(本大题6分)

基本未知量数n=7 基本结构 Z1Z4Z2Z5Z3Z6Z7 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 evaluati

(3分)

nism. o conscientiously sum up the Olympic security controls, promoting integrated management to a higher level, higher standards, a higher level of development. Emplhappy56

(2分)

分)

(3分)

endar 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 (2 on as one of the traffic safety management mechaoyees, today is lunar calhealth, happy, 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the八、(本大题7分)

N1=5P/2 (4分)

N2=P (3分)

九、(本大题7分)

B3/7l (2分)

M图 (5分)

十、(本大题10分)

X1=1l223EI2l23EI2l2/22/2M1图 M图

11l3/12EI,1c/22，X132EI/l3 (10分)

十一、(本大题18分)

ABMFBA1/3BE1/3BC1/322.5CB1/245CF1/245-75 75 -60 60 (12分)

M图

(kNm) (6分)



一、计算如图所示桁架的支座反力及1，2杆的轴力。

5kN

二、P=1在如图所示的静定多跨梁ABCD上移动。（1）作截面E的弯矩影响线；（2）画出使ME 达最大值和最小值时可动均布荷载的最不利布置；（3）当可动均布荷载q=5kN/m时，求MEmax 的值。

1m 2m 2m 2m

三、计算如图所示刚架支座A的水平位移，EI=常数。

2kN/m

四、用力法计算如图所示刚架，画M图，EI=常数。 D

EI 6m

A B C EI 2EI

6m 6m 五、画出用位移法计算如图(a)所示刚架结点B的角位移，EI=常数。固端弯矩表如图（b） (a) A C D (b)

q 4EI 3EI 4kN/m EI 6m

A B

B l

MFAB=－ql2/8

六、用力矩分配法计算如图（a）所示连续梁，画M图，EI=常数。固端弯矩表如图(b)所示。 (a) (b)

2kN·m 8kN q

A 2EI B EI C EI D A

4m 8m 3m 3m MFAB=－1/12·ql 2

MFBA =1/12·ql 2

A P B

l/2 l/2

MFAB=－3/16Pl

结构力学模拟试题（二）答案

一、解：1、求支座反力由∑ MA=0 得YB×4－5×3－5×6－5×9=0 即YB=22.5kN( ) 由∑Y=0 得YA=－22.5kN( ) 由∑X=0 得XA=15KN( ) 2、求1、2杆的轴力

沿CE、CF、DF杆截开，并取上面部分，由∑ MF=0得，

N1×4－5×3=0，即N1=3。75KN（受拉）

由∑X=0 得，N2X=10KN,即N2=5 N2X /4=12.5KN（受拉）

二、解：1、ME的影响线（m）

2/3

2/3 2/3

2、MEmax的最不利布置如图（a）；MEmin 最不利布置如图（b）； (a)

(b)

3、MEmax=∑qω=5×1/2×2/3×3=5kN·m 三、解：1、在A支座加单位水平力P=1

2、作 M1图，如图（a）；作MP图，如图（b）

（a） (b) 6 6 36 9

M1(m) MP(m)

3、计算△：△=∑ω·y0/EI=（ω1y1＋ω2y2）/EI =(36×1/3×6×6×3/4＋1/2×6×27×4)/EI=648/EI( )

四、解、1、一次超静定，基本体系和基本未知量，如图（a） 2、列力法方程：δ11•x1＋△1P=0 3、作 M1图，如图（b）；作MP图，如图（c） 4、计算δ11、△1P

δ11=1/2EI×1/2×6×6×4＋1/EI×6×6×6=252/EI

△1P=1/EI×6×36×6=1296/EI

5、解方程：X1=－△1P/δ11=－1296/252=－5.14kN 6、作M图，如图（d）

(a) (b)

基本体系 M1(m)

36 MP(kN·m) 36 M(kN·m)

30.86

五、解：（1）确定基本体系和基本未知量，如图（a）

（2 ）计算k11,作M1图，如图（a）结点C：∑MC=0

k11=3iCA＋3iCB＋4iCD=3×4EI/8＋3×EI/6＋4×3EI/6=4EI (3 ) 计算F1P，作MP图，如图（b） MFCB=－1/8×4×62=18kN·m F1P－18=0, F1P=18kN·m

( 4 ) 解方程：k11△1＋F1P=0 △1=－F1P/ k11=－18/4EI=－4.5/EI

六、解：（1）计算转动刚度与分配系数（令EI=1） SBA=4iBA=4×1/4=1,SBC=4iBC=4×2/8=1, SCB=4iCB=4×2/8=1,SCD=3iCD=3×3/6=1.5 μBA=0.5, μBC=0.5, μCB=0.4, μCD=0.6

(2)计算固端弯矩：MFBC=－ MFCB=－ 1/12×ql2=－1/12×3×82=－64(kN·m) MFCD=－3/16×Pl=－3/16×8×6=－9(kN·m) (3)分配与传递：

0.5 0.5 0.4 0.6

－16 ＋16 －9 －1.4 －2.8 －4.2 4.35 8.7 8.7 4.35 －0.87 －1.74 －2.59 0.22 0.44 0.44 0.22 －0.09 －0.13 4.57 9.14 －9.13 15.94 －15.94

(4)画M图(kN·m) 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

4.57 4.03 11.46

一．是非题（将判断结果填入括弧：以O表示正确，X表示错误）（本大题分4小题，

共11分）

1 . (本小题 3分)

图示结构中DE杆的轴力FNDE =FP/3。（）.

E a a a

2 . (本小题 4分)

用力法解超静定结构时，只

能采用多余约束力作为基本未知量。（）

3 . (本小题 2分)

力矩分配中的传递系数等于传递弯矩与分配弯矩之比，它与外因无关。（）

4 . (本小题 2分)

用位移法解超静定结构时，基本结构超静定次数一定比原结构高。（）

二．选择题（将选中答案的字母填入括弧内）（本大题分5小题，共21分） 1 （本小题6分）

图示结构EI=常数，截面A右侧的弯矩为：（）

A．M/2； B．M； C．0； D. M/(2EI)。

a a Fp/2 a a 2. （本小题4分）图示桁架下弦承载，下面画出的杆件内力影响线，此杆件是：（）Ａ.ch; B.ci; C.dj; D.cj.

a f g b c d e l FP=1

h i 1 j k

3. (本小题 4分)

图a结构的最后弯矩图为：

A. 图b; B. 图c; C. 图d; D.都不对。（）

( a) (b) (c) (d)

M M/4 M/4

EI 3M/4 3M/4 3M/4 l EI M/4 M/8 M/2 l

4. (本小题 4分)

用图乘法求位移的必要条件之一是： A.单位荷载下的弯矩图为一直线； B.结构可分为等截面直杆段； C.所有杆件EI为常数且相同； D.结构必须是静定的。 ( ) 5. （本小题3分）

图示梁A点的竖向位移为（向下为正）：( )

Ａ．FPl/(24EI); B. FPl/(!6EI); C. 5FPl/(96EI); D. 5FPl/(48EI).

33332EI A l/2 EI l/2 FP

三（本大题 5分）对图示体系进行几何组成分析。

四（本大题 9分）图示结构B支座下沉4 mm，各杆EI=2.0×105 kN·m2，用力法计算并作M图。

4 m

△=4 mm 6 m 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 — 65 —

五（本大题 11分）用力矩分配法计算图示结构，并作M图。EI=常数。

FP FP

l2l2

六（本大题14分）已知

ll4ll图示结构，EI2.110 kNm,q10 kN/m求B点的水平位移。

B 2EI q EI 2EI 2EI 4 m 2 m 2

4 m 七（本大题 14分）用位移法作图示结构M图，各杆线刚度均为i，各杆长为l 。

D C B

八.(本大题15分) 用力法作图结构的M图.EI=常

数.

l l 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 三．是非题 1 . （X）；2. （X）； 3 . （O）； 4. （O）

四．选择题

1 （ A ） 2. （ B ） 3. （A） 4. (B ) 5. ( C )

三图示体系为具有一个多余约束的几何不变体系

四求解过程如下所示

200/9 6

M M1 基本体系单位弯矩图最终弯矩图 △=4 mm X11 X1 11X11C

2161C0 11EI

X1100/27

MM1X1五因为结构对称、荷载对称，因此可取半结构如下，计算过程及弯矩图如下图

FPl/2 FPl/2 FPl/16 FPl/8 FPl/8 0.5 0.5  0 0.5 -0.5 -0.25 0 0 0.125 0.125 0.0625 B B 1 0 0.5 -0.5 -0.125 0.125 0.0625 6 240 20 60 2 80 — 67 — 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, happy

MPM1We 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

六单位和荷载弯矩图为用图乘可求得

2970 B0.14 mEI七基本体系、单位与荷载弯矩图如下所示

Z1 Z11q i

D C B 4i 3i

A 位移法方程、系数及求解结果如下 M1图2i 2R1Pql/8Z1ql2/64i r11Z1R1P0r118i

ql2/64 5ql2/64 4ql2/64 M图八.因为结构对称荷载反对称，可利用对称性如下 22ql/64

q q q 2q q q 对称半结构用位移法求解

q 2ql2/72 2ql2/72

对称弯矩图

4ql2/72 4ql2/72

ql2/8 MP图MM1Z1MPq

r11Z1R1P0r116iR1Pql2/12Z1ql2/72iMM1Z1MP

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 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

反对称结构用力法求解 l/2 11X11P0

X11 X1q 117l3/24EI

M1图MP图 21Pql4/12EIql/2

ql2/7 2 X12ql/72ql2/7 ql/7 ql2/7

ql2/7 MM1X1MP

5ql2/14 10ql2/14 5ql2/14

反对称弯矩图

叠加对称、反对称弯矩图得最终弯矩图 172ql2/504

86ql2/504 58ql2/504 58ql2/504

86ql2/504

202ql2/504 304ql2/504 202ql2/504 一、判断题（将判断结果填入括弧：以O表示正确，X表示错误。

本大题共5小题，每小题2分，共10分）

．

构

成

二

元

体

的

链

杆

可

以

是

复

链

杆

M图。

（）

2。为求联合桁架的各杆轴力，可首先求组成联合桁架各简单桁架的轴力。（）

3. 仅有支座位移的静定结构位移计算，如果单位广义力引起的反力均与支座位移

同向，则（）

4．图示对称结构在竖向对称荷载作用下，位移法求解的最少独立位移未知量个数为2。( )

所

求

位

移

必

为

正

。

5 所作出的正确影响线，必须具有正确的外形、符号和控制值。

（）

二、单项选择题（本大题分3小题，每小题4分，共12分）

1．图示结构位移法最少未知量个数为（）。 A. 1； C. 2；

B. 3； D. 4。

2．图示超静定刚架以去除C 支座加向上的反力为基本体系，各杆EI等于常数，δ11 和Δ A. EIδ11 ＝288；EIΔ B. EIδ11 ＝216；EIΔC. EIδ11 ＝288；EIΔD. EIδ11 ＝216；EIΔ

1P 为 ( )。

10 kN/m 20 kN B C 1P 1P 1P

＝8640；＝8640；＝－8640;

A 1P ＝－8640。

6 m 3. 超静定结构影响线的外形为（）。

一定为曲线； B. 一定为折线；

C. 可能为曲线，也可能为直线；

D. 一定为直线。

三填充题（本大题分4小题，每小题4分，共16分）

1．力法方程各项的物理意义是 ,整个方程的物理意义是。

2．力矩分配法经若干轮分配、传递后能逼近真实解答的原因是。

3．反力-位移互等定理数值和量纲都相等的原因是。

4. 对于平行型截面单杆，在截面一侧外荷载条件下将是零杆。

四．计算分析题（本大题共9小题，共62分）

1．（6分）将图示超静定结构通过减除约束改造成静定结构。(不少于三种选择)

2．（4分）试求图示桁架各杆轴力，各杆EA等于常数。

3．（8分）试求图示抛物线（y=4fx(l-x)/l)三铰拱距A支座 5 m的截面

20 kN/m 240 kN·m C y A x 2×10 m 内力。

5 m B 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 — 71 —

30 kN/m

C A 6 m B 6 m 4．（8分）试用图乘法求图示结构C铰两侧截面的相对位移。各杆EI均为常数。 5．（8 分）试计算并作图示结构弯矩图，各杆EI均为常数。

M B A

D 

C l l 20 kN/m D EI EI C A 2EI E 2EI B 4 m 4 m 6．（10 分）试写出图示结构的位移法典型方程并求出全部系数。 7．（9 分）试用力矩分配法求作图示结构弯矩图（计算两轮），EI＝常数，FP = 28 kN。

8．（9 分）作静定多跨梁FAY、FBY、MA的影响线。

12×1 m

一．判断题

1． O 2. X 3. X 4. O 5. O 二．单项选择题

1．B; 2. C; 3. C; 三．填充题

1．位移；各未知力方向的位移与原结构的位移一致（或变形协调） 2．弹性结点的分配系数和传递系数小于1

123．因为两者均为比例系数，4．合力作用线垂直平行杆的四． 1.

12Fk21R212，FP1，他们的量纲均为一。

斜杆轴力10 kN，竖杆和水平杆为零杆。

(b) (e) 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 — 73 —

取整体隔离体有：

20 kN/m M K FN M 0, FF0,FAyByAy 48kN

152kN

取BC部分隔离体有：

FH FQ N MF Cx0,FBxFH130 kN 0 ,Ax F2132 推力kN (

分别在K处法线方向和切线方向投影，列方程有：

20xx2y4fx(lx)/l3mFA y 255 m 202xtan0.4 sin0.371 390 67425cos0.928 476 691

MK0MFAy5mFH3m100kN2.5m0 M120kNm

FQ100kNcosFAycosFHsin0,FQ0.26kN

FN100kNsinFAysinFHcos0,FN140.14kN

4. 作出Mp图和M图如下图所示

A1=1080

540 C A3=1620 A

A4=1620 B

A2=1080 540 y1=1 1 1 y3=2/3 A C 1 y4=2/3 B y2=1

1 MP图(kNm)M图

则根据图示的面积和对应的形心坐标，按位移计算公式计算可得



Mp MEIdsA1y1A2y2A3y3A4y44320EIEI 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

力法方程、系数及求解结果如下

2M图A 6. 求解过程如下面图形所示

M1M1MP4l3Ml211X11P0 11dx 1PdxEI3EIEIEI3MX1 MMPX1M14l

10.43 10.43 40 20

k21Z1k22Z2R2P0

15i6ik117ik222k12k21llR1P30 kNmR2P0

15060lZ1Z223i23iMMPZ1M1Z2M2

2.61

7.83 M图(单位：kNm） 3i 4i 7. （9 分）试用力矩分配法求作图示结构弯矩图（计算两轮），EI＝常数。FP = 28 kN 4i 3i S  Mf M 0.00 3/7 4/7 21.00 -28.00 -8.00 4/7 3/7 28.00 0.00 -16.00 -12.00 0.00 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

27.9

13.8

35.1

五．是非题（将判断结果填入括弧：以O表示正确，X表示错误）（本大题分3小题，

共7分）

1.（本小题 3分）图a. b 所示三铰拱的支座反力相同。（）

2qa

h h



（a） (b)

2.（本小题 2分）图示结构中的反力H=-M/L。（）

M M lH

3.（本小题 2分）力矩分配法中的分配

系数，传递系数与外界因素（荷栽，温度变化等）有关。（）

六．选择题（将选中答案的字母填入括弧内，本大题分3小题，共9分） 1． (本小题 4分) 连续梁和M图如图所示，则支座B的竖向反力FBy是： A. 1.21(↑) B.5.07( ↑) C.11.07(↓) D.17.07(↑)。（）

20 kN

2 kN/m C 6 m

A 3 m 16.72 3 m B 11.57 15.85

3.21

2 (本小题 3分) 在位移法中，将铰接端的角位移，滑动支撑端的线位移作为基本未知量：

A,绝对不可； B.一定条件下可以；

C.可以，但不必； D.必须。 ( )

A. 几何不变无多余约束 B. 几何不变有多余约束 C. 几何常变 D. 几何瞬变

三.填充题（将答案写在空格内）（本大题分2小题，共9分） 1．（本小题 4分）图示刚架支座反力FBy= , C截面的弯矩MC= ,剪力FQC= C 20 kN 20 kN

A 4 m 4 m B

2．（本小题 5分）虚功原理应用条件是：力系满足条件；位移是的。

四（本大题 4分）对图示体系作几何组成分析

6 7

1 2 5 4 3 3 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 — 79 —

D ll2l2l

六（本大题 7分）求图示桁架杆件a， b 的内力

d a b FP d 2d 2d

七（本大题 8分）已知图示结构的M图, 作FQ , FN 图。

4 1 kN 4 2 kN 6 2 m 4 m 8 2 m

4 m M (kN·m)

八（本大题 10分）作图示结构FQB左，MF的影响线。

FP=1

A F B H I C D E 2 m 2 m 1 1 1 1 4 m 1 4 m

九（本大题 12分）用力矩分配法计算并作图示对称结构的M图。已知：q=40 kN/m各杆EI相同。

q q 6 m 3 m 6 m 3 m

h h

十（本大题 13分）用位移法计算并作图示结构M图，横梁为无穷刚梁EI→∞，两柱刚度均为EI。

C FP D h

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, happyB A 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the十一（本大题 13分）用力法计算并作图示结构的M图。

283kN C EI 4 kN/m 3 m

B A

EI 3 m

一、是非题：

1、X 2、O 3、X 二、选择题

1、D 2、C 3、C 三、填充题

1、FBy=0，MC=40 kN.m，FQC=0； 2、平衡，变形协调四、几何组成分析：

有一个多余约束的几何不变体系

五、单位弯矩图和荷载弯矩图如下所示 l

M1图l ql2 8根据所给系数，由力法方程 MX11

MP图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

ql2/8

六、桁架杆件内力计算如下 0 -FP 0 x11Pql1124 由此可得最终弯矩图为

ql2/24D ql2/240 a b 0 d

FNaFPFNb

d P F FP FP 2FP2

2d 2d

七、内力图如下所示

3 FQ图 (kN)

八、影响线如下所示 F I A B H 0.25 0.25 I H F A B 1

九、按对称性取半进行计算

A D C

q 1 FN图 (kN) C D D MF影响线 45 90 45 E E C FQB影响线 90 45 45 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 — 83 — 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, happy B 135 135 M图

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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the 分配系数固端力分配、传递杆端力 AD DA 3/8 0 0 DB BD 1/4 DC CD 3/8 -45 0 120 -120 0 0 0 -45 -30 -15 0 -45 90 -135 -45 0 十、位移法基本体系、单位和荷载弯矩图如下 C D C D

2 6EI/h B B

Z1 FPl/4 C FP D FPl/4 B A MPA 3/2×EI/h2 A M13FPl/4 FPhFP3EI12EI27EI0.222 Zk1133R11P0.194 27EI 2hh2h3；2；C D 最终弯矩图为

十一、力法基本体系、单位和荷载弯矩图如下 28

3kN C X1

4 kN/m MP A A B EI 0.222 0.306 B A M图 283kN C C X1=1 46 M14 kN/m 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 B B 3 28180108 11283118333 111P3kN EI23EI C EI；

5X1 kN41 kN.m M图 3

由此可得最终弯矩图如右图所示。 4 kN/m A B 5 kN.m 84 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, happyA 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the

一、是非题（本大题分2小题，共9分）

1．（本小题5分）

图a所示结构的M图如图b所示。（）

q2a2aaa)b)

2．（本小题4分）

图示结构在移动荷载作用下，剪力FQB左的最大值为零。（）

2kN2kN2mB4m2mCD2mA 二、填空题（本大题分4小题，共20分）

1．（本小题4分）

杆端的转动刚度S，等于_______________________时需要施加的力矩，它与__________________和__________________有关。 2．（本小题5分）

已知某量值S的影响线如图a，在给定的移动荷载（FP1=8kN，FP2=1kN，FP3=2kN）作用下，其最不利荷载位置为图____。（填b、c、d或e）

图示结构A截面的剪力为________。

FP/2FP/2Aaaaa

4．（本小题5分）

图示桁架c杆的轴力FNc=____。

三、（本大题6分）

试选择图示对称结构在图示荷载作用下，用力法计算时的最优基本体系。

FPIII2IIIA=∞IIIFP

四、（本大题5分）

试分析图示体系的几何组成。

五、（本大题6分）

试确定图示结构位移法基本未知量数目和基本结构，两根链杆a和b需考虑轴向变形。

EI=∞EIEI=∞2EIEAa4EI4EI2EIEI=∞4EIEAb2EIEI

六、（本大题10分）

图示结构左支座B向左移动1cm，右支座D向下移动2cm，试求铰A的竖向位移。

A1cm1m3m3m1m2cmBCD4m

七、（本大题14分）

用位移法作图示结构M图，横梁刚度EA→∞，两柱线刚度i相同。

八、（本大题16分）

试写出用力法计算图示结构的典型方程（采用右图所示基本体系），并求出方程中的全部系数和自由项（不求解方程）。已知各杆EI=常数。

FPX1X2l/3l/32l/3基本体系2l/3l/3

九、（本大题14分）

用力矩分配法计算图示结构（可利用对称性），并作弯矩图。已知各杆EI=常数。

A6kN·m3kNBF4m4m4m2mCDE

十、是非题（本大题分2小题，共9分）

1．（本小题5分）

图a所示结构的M图如图b所示。（√）

2．（本小题4分）

图示结构在移动荷载作用下，剪力FQB左的最大值为零。（√）

2kN2kN2mAA4mB2mCD2m1BC0.5DFQB左影响线

十一、填空题（本大题分4小题，共20分）

1．（本小题4分）

杆端的转动刚度S，等于杆端产生单位转角时需要施加的力矩，它与杆件的线刚度和远端支承情况有关。 2．（本小题5分）

已知某量值S的影响线如图a，在给定的移动荷载（FP1=8kN，FP2=1kN，FP3=2kN）作用下，其最不利荷载位置为图 c 。（填b、c、d或e）

图示结构A截面的剪力为 -0.5FP 。FP/2FP/2aAaaa

4．（本小题5分）

图示桁架c杆的轴力FNc= FP 。

on as one of the traffic safety management mecha 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 \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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 \"zero risk\". To strengthened 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. To further standardize trading, and strive to achieve \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model ole; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in theCFPaaaaaa

（由等力杆原理，取FP作用结点为脱离体。）

十二、（本大题6分）

试选择图示对称结构在图示荷载作用下，用力法计算时的最优基本体系。

FPIII2IIIA=∞IIIIFPFPIIIX2X3IFPX1

分）

半结构（3分）力法基本体系（3

十三、（本大题5分）

试分析图示体系的几何组成。

十四、（本大题6分）

试确定图示结构位移法基本未知量数目和基本结构，两根链杆a和b需考虑轴向变形。

EI=∞EIEI=∞2EIEAa4EI4EI2EIEI=∞4EIEAb2EIZ6EIZ4EAZ2EAZ7Z1Z5Z3n=7（角位移未知量每个0.5分，线位移未知量每个1分）

十五、（本大题10分）

图示结构左支座B向左移动1cm，右支座D向下移动2cm，试求铰A的竖向位移。

D11/4AVFRc11122.0625cm()16（5

分）

十六、（本大题14分）

用位移法作图示结构M图，横梁刚度EA→∞，两柱线刚度i相同。

EI=∞iZ1h2hi

分）

解：1）基本体系

2）位移法方程k11Z1F1P0（1分）

基本体系（2

Z1=1k11F1P3ih3i2hM1图qh28

（2分）

MP图

（2分）

k1115i4h2（2分）

F1P3qh8（2分）

F1Pqh3Z1k1110i（1分） 4）

5）MM1Z1MP

0.425qh2M图0.15qh2 （2分）

十七、（本大题16分）

试写出用力法计算图示结构的典型方程（采用右图所示基本体系），并求出方程中的全部系数和自由项（不求解方程）。已知各杆EI=常数。

11X112X21P021X122X22P0（1分）

11X1=10.50.5M1图

FPl3MP图（2分）

（2分）

分）

11.5X2=1M2图（

opment. 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

her standards, a higher level of develWe 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the1122分）

212l21l2l10.50.5EI2332332EI（2分） 113ll1.51EI24EI（2分）

12210（1

FPl211lFPl211PEI2333254EI（2分）

211lFPl222FPl2P11.5EI2333327EI（2分）

十八、（本大题14分）

用力矩分配法计算图示结构（可利用对称性），并作弯矩图。已知各杆EI=常数。

A6kN·m3kNBF4m4m4m2mCDE

解：半结构

A6kN·mBF（3分）

SBA3EIEI0.75EISBF31.5EI42，

BA

0.7511.52BF0.751.53，0.751.53（分配系数3分）

A62BC2M图(kN·m)DE（3分）

一填空题（9小题，共计32分）

1 在一个体系上增加或去掉____，不改变体系的几何不变性或可变性。（2分）

2 具有基本部分和附属部分的结构，进行受力分析的次序是：先计算____部分，后计算____部分。（2分）

3 若三铰拱的跨度、拱上竖向荷载给定不变，则拱愈扁平，拱的水平推力愈____（大或小）。（2分）

4 图示刚架D截面的剪力FQDB=____、弯矩MDB=____ (内侧受拉为正)。（6分）

10 kN/m 5 m

B 5 m

5 图示桁架中杆a、b的轴力分别为F Na=____，F Nb=____。（6分）

7 图示静定梁在移动荷载作用下，截面C的弯矩影响线方程为MC=_______（0≤x≤2m）；MC=_____（2m≤x≤6m）。（4分） x FP1 C

2m2m2m8 荷载移动到某个位置使研究量达到最大值，则此荷载位置称为移动荷载的____位置。（2分）

9 用位移法计算有侧移刚架时，基本未知量包括结点____位移和____位移。（4分）

二选择题（4小题，共计18分）

1 图示多跨静定梁截面C的弯矩MC=____ 。（5分） FP FP a C a a a 2a

(A)

FPaFa3FPa(下拉) (B) P(下拉) (C) (下拉) (D) 424FPa(上拉) 42 图示桁架中K型结点处，杆b轴力为F Nb=____。（5分）

FP a FP b a FP a

(A) 0 (B) 22FP (C)

2FP (D) 2FP (E) 22FP

3 图示结构用力法计算时，不能选作基本结构的是______。

(A) (B) (C) (D) 4 图示对称结构在对称荷载作用下取半边结构计算时，其等代结构为图____。

(A) (B) (C) (D)

三分析计算题（4小题，共计50分）

1 分析图示体系的几何组成，说明分析过程并作出结论。(5分)

2 作图示简支梁MC、FQC影响线，并求图示移动荷载作用下截面Ｃ的最大弯矩值。（13分） 40kN 60kN 20kN 30kN 2m 2m 2m 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 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, happy100 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 relatd transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication \"zero resistance\". o constantly perfect ER, 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 maintenanceoperation 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 \"zero.\" 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, nd stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. o strengthen risk management, ensure that the business of \"zero risk\". To strengthened 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 \"according to law, standardize and fair.\" Innovation of performance management, to ensure that potential employees \"zero fly\". To 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 \"five type Enterprise\" construction in the of core role, and fighting fortress role and pioneer model role; to continues to strengthening \"four good\" leadership construction, full play levels cadres in enterprise development in the C

3m 9m

3 用力法计算图示刚架，并绘其M图，EI为常数。（18分） 20kN/m

40kN 6m 6m

4 用位移法计算图示结构D点水平位移Δ，EI为常数。（14分）

L EI FP EI1 =∞

D L EI L 《结构力学(1)》模拟试题二参考答案

一填空题（9小题，共计32分）

1、二元体（2分） 2、附属部分，基本部分（1+1分） 3、大（2分）

4、50kN，-125kN.m（3+3分）5、FNa=FP，FNb=-

5FP（3+3分） 46、①等截面直 ②直线（2+2分） 7、2m,4-x （2+2分） 8、最不利（2分） 9、角位移，独立结点线位移（2+2分）

二选择题（4小题，共计18分）

1、A （5分） 2、D（5分） 3、C（4分） 4、A（4分）

三分析计算题（4小题，共计50分）

1 分析图示体系的几何组成，说明分析过程并作出结论。(5分) 常变体系（5分）

2 作图示简支梁MC、FQC影响线，求移动荷载作用下截面C最大弯矩值。（13分）

①作梁MC、FQC影响线（6分） ②判断移动荷载的最不利位置（2分） ③求移动荷载作用下MCMAX（5分）

9/4m + MC影响线 3/4

(+) FQC影响线

1/4

MC40MCmax3975602030237.5kN.m4444975340602030242.5kN.m4444f 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

3 用力法计算图示刚架,并绘其M图，EI为常数。（18分）

①选取力法基本结构如图（１分） ②力法方程（1分） 11X11P0 ③求系数和自由项（3＋3分） 113609360，1P EIEI 6m 6m 240 156 240 84

X1 X1=1

基本结构 M1图(m) MP 图(kN.m) M图

(kN.m)

（2+2分）

④求Ｘ１（2分） X1= 26kN ⑤作Ｍ图(4分)

4 用位移法计算图示结构D点水平位移Δ，EI为常数。（14分）

①取基本结构如图(1分)

6EIl2 Δ Δ=1 6EIl2

基本结构 M1 ②建立位移法方程（1分） k11F1P0 ③求系数和自由项(4+2分)

rEI1124l3F1PFP

④求Δ(2分) FPl324EI

MP (3+2分)

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