中南大学 矩阵位移法 报告.docx
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中南大学矩阵位移法报告
矩阵位移法实验报告
姓名:
班级:
学号:
任课教师:
日期:
天佑11级结构力学矩阵位移法上机题2013年6月
朱迪学号:
1104111018
1.作图示刚架的
、
、
图,已知各杆截面均为矩形,柱截面宽0.4m,高0.4m,大跨梁截面宽0.35m,高0.85m,小跨梁截面宽0.35m,高0.6m,各杆E=3.0×104MPa。
10分
解:
输入数据
***************************************************
***Inputdata****
***第一题2013.6.12****
***kNkNm****
***************************************************
3E4161391
120.162.1333E-3
230.162.1333E-3
340.162.1333E-3
270.29751.7912E-2
380.29751.7912E-2
450.29751.7912E-2
590.29751.7912E-2
670.162.13E-3
780.162.13E-3
890.162.13E-3
7110.216.3E-3
8120.216.3E-3
9130.216.3E-3
10110.162.13E-3
11120.162.13E-3
12130.162.13E-3
00
04.5
07.7
010.9
3.810.9
7.60
7.64.5
7.67.7
7.610.9
11.40
11.44.5
11.47.7
11.410.9
110
120
130
610
620
630
1010
1020
1030
4
310000
410000
500-15
900-15
7
13204.5
54-367.6
44-367.6
42-263.8
124-363.8
114-363.8
112-262.7
输出结果:
InputDataFileName:
Data1.txt
OutputFileName:
Outcome1.txt
************************************************
***Inputdata****
***Homework12013.6.12****
***kNkNm****
************************************************
TheInputData
TheGeneralInformation
ENMNJNSNLC
3.000E+04161391
TheInformationofMembers
memberstartendAI
1121.600000E-012.133300E-03
2231.600000E-012.133300E-03
3341.600000E-012.133300E-03
4272.975000E-011.791200E-02
5382.975000E-011.791200E-02
6452.975000E-011.791200E-02
7592.975000E-011.791200E-02
8671.600000E-012.130000E-03
9781.600000E-012.130000E-03
10891.600000E-012.130000E-03
117112.100000E-016.300000E-03
128122.100000E-016.300000E-03
139132.100000E-016.300000E-03
1410111.600000E-012.130000E-03
1511121.600000E-012.130000E-03
1612131.600000E-012.130000E-03
TheJointCoordinates
jointXY
1.000000.000000
2.0000004.500000
3.0000007.700000
4.00000010.900000
53.80000010.900000
67.600000.000000
77.6000004.500000
87.6000007.700000
97.60000010.900000
1011.400000.000000
1111.4000004.500000
1211.4000007.700000
1311.40000010.900000
TheInformationofSupports
ISVS
11.000000
12.000000
13.000000
61.000000
62.000000
63.000000
101.000000
102.000000
103.000000
LoadingCase1
TheLoadingsatJoints
NLJ=4
jointFXFYFM
3100.000000.000000.000000
4100.000000.000000.000000
5.000000.000000-15.000000
9.000000.000000-15.000000
TheLoadingsatMembers
NLM=7
membertypeVFDST
1320.0000004.500000
54-36.0000007.600000
44-36.0000007.600000
42-26.0000003.800000
124-36.0000003.800000
114-36.0000003.800000
112-26.0000002.700000
TheResultsofCalculation
TheJointDisplacements
jointuvrotation
17.112437E-21-1.637885E-20-1.783029E-20
21.133011E+01-1.535517E-01-1.284847E+00
31.609903E+01-2.069608E-01-9.283196E-01
41.846865E+01-1.982339E-01-1.265198E-01
51.843288E+01-3.427796E-01-8.184751E-03
69.606586E-21-4.107481E-20-2.155901E-20
71.132785E+01-3.850763E-013.930157E-02
81.602478E+01-5.148271E-016.629415E-02
91.839711E+01-5.044692E-01-1.355430E-01
107.780977E-21-2.982635E-20-1.881281E-20
111.131551E+01-2.796220E-01-9.194458E-01
121.600894E+01-3.700621E-01-4.820412E-01
131.837835E+01-3.891469E-01-1.682905E-01
TheTerminalForces
memberFNFSM
1start1163.788460116.124366212.052911
end2-163.788460-26.124366108.006736
2start280.11374328.77750538.913577
end3-80.113743-28.77750553.174432
3start3-13.09042715.9811849.534146
end413.090427-15.98118441.605639
4start22.65313883.674717-146.920313
end7-2.653138215.925280-355.631819
5start387.20367993.204171-62.708578
end8-87.203679180.395826-268.619708
6start484.018816-13.090427-41.605639
end5-84.01881613.090427-8.137984
7start584.018816-13.090427-6.862016
end9-84.01881613.090427-42.881606
8start6410.74805196.065864215.590112
end7-410.748051-96.065864216.706277
9start7194.626167113.865877181.646384
end8-194.626167-113.865877182.724400
10start8-15.53675052.92182788.705354
end915.536750-52.92182780.644484
11start720.453151.196604-42.720842
end11-20.453151162.603394-245.052015
12start826.25963029.767092-2.810046
end12-26.259630107.032907-143.994975
13start931.096989-28.627178-52.762877
end13-31.09698928.627178-56.020390
14start10298.26347877.809770188.128111
end11-298.263478-77.809770162.015852
15start11135.66008457.35661983.036162
end12-135.660084-57.356619100.505007
16start1228.62717831.09698943.489968
end13-28.627178-31.09698956.020390
弯矩图:
剪力图:
轴力图:
2、计算图示桁架各杆的轴力。
已知A=2400mm2,E=2.0×105MPa。
5分
解:
输入数据
*******************************************************************
**
*EX.2ASimpleSupportedFrame2013.06.12*
**
*******************************************************************
2.0E814941
122.4E-31.0E-20
322.4E-31.0E-20
132.4E-31.0E-20
242.4E-31.0E-20
342.4E-31.0E-20
352.4E-31.0E-20
452.4E-31.0E-20
652.4E-31.0E-20
572.4E-31.0E-20
672.4E-31.0E-20
682.4E-31.0E-20
782.4E-31.0E-20
962.4E-31.0E-20
982.4E-31.0E-20
00
06
23
26
46
63
66
86
80
110
120
910
920
5
20-500
40-500
50-500
70-500
8-10-500
0
输出结果:
InputDataFileName:
Data2.txt
OutputFileName:
Outcome2out.txt
*******************************************************************
**
*EX.2ASimpleSupportedFrame2013.06.12*
**
*******************************************************************
TheInputData
TheGeneralInformation
ENMNJNSNLC
2.000E+0814941
TheInformationofMembers
memberstartendAI
1122.400000E-031.000000E-20
2322.400000E-031.000000E-20
3132.400000E-031.000000E-20
4242.400000E-031.000000E-20
5342.400000E-031.000000E-20
6352.400000E-031.000000E-20
7452.400000E-031.000000E-20
8652.400000E-031.000000E-20
9572.400000E-031.000000E-20
10672.400000E-031.000000E-20
11682.400000E-031.000000E-20
12782.400000E-031.000000E-20
13962.400000E-031.000000E-20
14982.400000E-031.000000E-20
TheJointCoordinates
jointXY
1.000000.000000
2.0000006.000000
32.0000003.000000
42.0000006.000000
54.0000006.000000
66.0000003.000000
76.0000006.000000
88.0000006.000000
98.000000.000000
TheInformationofSupports
ISVS
11.000000
12.000000
91.000000
92.000000
LoadingCase1
TheLoadingsatJoints
NLJ=5
jointFXFYFM
2.000000-50.000000.000000
4.000000-50.000000.000000
5.000000-50.000000.000000
7.000000-50.000000.000000
8-10.000000-50.000000.000000
TheLoadingsatMembers
NLM=0
TheResultsofCalculation
TheJointDisplacements
jointuvrotation
1-3.833333E-21-1.325000E-20-2.257495E-04
2-1.052370E-04-9.375000E-04-7.026908E-05
33.860368E-04-8.812351E-041.226822E-04
4-1.746814E-04-1.193735E-031.087908E-04
5-2.441259E-04-8.137529E-04-3.230398E-05
6-7.938923E-04-9.903881E-04-6.211765E-05
7-3.552370E-04-1.302888E-03-1.022944E-04
8-4.663481E-04-9.375000E-041.412286E-04
92.833333E-21-1.175000E-203.510751E-04
TheTerminalForces
memberFNFSM
1start175.000000.000000.000000
end2-75.000000.000000.000000
2start3-30.046261.000000.000000
end230.046261.000000.000000
3start169.106399.000000.000000
end3-69.106399.000000.000000
4start216.666667.000000.000000
end4-16.666667.000000.000000
5start350.000000.000000.000000
end4-50.000000.000000.000000
6start339.060139.000000.000000
end5-39.060139.000000.000000
7start416.666667.000000.000000
end5-16.666667.000000.000000
8start621.032382.000000.000000
end5-21.032382.000000.000000
9start526.666667.000000.000000
end7-26.666667.000000.000000
10start650.000000.000000.000000
end7-50.000000.000000.000000
11start6-30.046261.000000.000000
end830.046261.000000.000000
12start726.666667.000000.000000
end8-26.666667.000000.000000
13start951.078643.000000.000000
end6-51.078643.000000.000000
14start975.000000.000000.000000
end8-75.000000.000000.000000
3.作图示连续梁的
、
图,已知各梁截面面积A=6.5
惯性矩I=5.50
,各杆E=3.45×104MPa。
5分
解:
输入数据:
********************************************
***Inputdata****
***第三题2013.6.12****
***kNkNm****
********************************************
3.45E44561
126.55.5
236.55.5
346.55.5
456.55.5
00
400
600
800
1200
110
120
130
220
420
520
1
30-320-100
4
14-10.540
24-10.520
34-10.520
44-10.540
输出结果:
InputDataFileName:
Data3.txt
OutputFileName:
Outcome3.txt
******************************************
***Inputdata****
***第三题2013.6.12****
***kNkNm****
******************************************
TheInputData
TheGeneralInformation
ENMNJNSNLC
3.450E+044561
TheInformationofMembers
memberstartendAI
1126.500000E+005.500000E+00
2236.500000E+005.500000E+00
3346.500000E+005.500000E+00
4456.500000E+005.500000E+00
TheJointCoordinates
jointXY
1.000000.000000
240.000000.000000
360.000000.000000
480.000000.000000
5120.000000.000000
TheInformationofSupports
ISVS
11.000000
12.000000
13.000000
22.000000
42.000000
52.000000
LoadingCase1
TheLoadingsatJoints
NLJ=1