中南大学土木工程结构力学位移法上机报告肖老师.docx
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中南大学土木工程结构力学位移法上机报告肖老师
结构力学
矩阵位移法上机实验报告
指导老师:
肖老师
班级:
土木
姓名:
学号:
2012年10月21日
矩阵位移法上机实践报告
一、实践目的
学会使用矩阵位移法,掌握PF程序的使用并用来计算给定的平面刚架、桁架和连续粱的内力。
二、实践要求
(1)用PF程序计算给定的平面钢架、桁架和连续粱的内力;
(2)绘制给出上述结构的内力图。
三、实践步骤
(1)编号:
对杆件和结点编号,选定局部坐标系和整体坐标系。
(2)建立输入文件:
根据题目已给数据,建立格式为.txt的输入数据文件。
(3)运行计算:
运行程序,得到输出文件。
(4)绘图:
手绘内力图。
四、实践收获
(1)对于各杆弹模不同的情况,可以取统一的E值,将其截面积A和二次矩I均乘以(EEi/)输入。
(2)在内力图的绘制的过程中,应注意弯矩受拉边及剪力、轴力图正负号的判定。
(3)平面桁架各杆截面二次矩I取很小的值,如实际值的10-3至10-9倍。
(4)遇到集中力偶作用时,集中力偶作用点也要单独为一个结点。
(一)第一题
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
(1)编号:
如图所示
(2)输入文件。
********************************************************
*
*\\\\ex1.compositebeam2012.10.10
*
********************************************************
3.0e7161391
120.162.13333e-3
280.162.13333e-3
830.162.13333e-3
34.29751.791198e-2
45.29751.791198e-2
86.29751.791198e-2
27.29751.791198e-2
650.162.13333e-3
760.162.13333e-3
1370.162.13333e-3
59.2166.3e-3
610.2166.3e-3
711.2166.3e-3
1090.162.13333e-3
11100.162.13333e-3
12110.162.13333e-3
0.00.0
0.4.5
0.010.9
3.810.9
7.610.9
7.67.7
7.64.5
0.07.7
11.410.9
11.47.7
11.44.5
11.40.0
7.60.0
110
120
130
1310
1320
1330
1210
1220
1230
4
81000.00
31000.00
4.0.0-15
5.0.0-15
7
13204.5
74-367.6
72-263.8
134-363.8
132-262.7
64-367.6
124-363.8
(3)输出结果
InputDataFileName:
t1.txt
OutputFileName:
t1.jie.txt
********************************************************
*
*\\\\ex1.compositebeam2012.10.10
*
********************************************************
TheInputData
TheGeneralInformation
ENMNJNSNLC
3.000E+07161391
TheInformationofMembers
memberstartendAI
1121.600000E-012.133330E-03
2281.600000E-012.133330E-03
3831.600000E-012.133330E-03
4342.975000E-011.791198E-02
5452.975000E-011.791198E-02
6862.975000E-011.791198E-02
7272.975000E-011.791198E-02
8651.600000E-012.133330E-03
9761.600000E-012.133330E-03
101371.600000E-012.133330E-03
11592.160000E-016.300000E-03
126102.160000E-016.300000E-03
137112.160000E-016.300000E-03
141091.600000E-012.133330E-03
1511101.600000E-012.133330E-03
1612111.600000E-012.133330E-03
TheJointCoordinates
jointXY
1.000000.000000
2.0000004.500000
3.00000010.900000
43.80000010.900000
57.60000010.900000
67.6000007.700000
77.6000004.500000
8.0000007.700000
911.40000010.900000
1011.4000007.700000
1111.4000004.500000
1211.400000.000000
137.600000.000000
TheInformationofSupports
ISVS
11.000000
12.000000
13.000000
131.000000
132.000000
133.000000
121.000000
122.000000
123.000000
LoadingCase1
TheLoadingsatJoints
NLJ=4
jointFXFYFM
8100.000000.000000.000000
3100.000000.000000.000000
4.000000.000000-15.000000
5.000000.000000-15.000000
TheLoadingsatMembers
NLM=7
membertypeVFDST
1320.0000004.500000
74-36.0000007.600000
72-26.0000003.800000
134-36.0000003.800000
132-26.0000002.700000
64-36.0000007.600000
124-36.0000003.800000
TheResultsofCalculation
TheJointDisplacements
jointuvrotation
17.105061E-21-1.638209E-20-1.781221E-20
21.131885E-02-1.535821E-04-1.283785E-03
31.845109E-02-1.982737E-04-1.263038E-04
41.841531E-02-3.424279E-04-8.179403E-06
51.837953E-02-5.043514E-04-1.356560E-04
61.600924E-02-5.147160E-046.590251E-05
71.131656E-02-3.849883E-043.865909E-05
81.608351E-02-2.069984E-04-9.277600E-04
91.836129E-02-3.892249E-04-1.683662E-04
101.599384E-02-3.701356E-04-4.819648E-04
111.130455E-02-2.796797E-04-9.193592E-04
127.784066E-21-2.983250E-20-1.882168E-20
139.610874E-21-4.106542E-20-2.156948E-20
TheTerminalForces
memberFNFSM
1start1163.820863116.050605211.872114
end2-163.820863-26.050605107.855610
2start280.12443528.73883038.861630
end8-80.124435-28.73883053.102622
3start8-13.08698215.9626139.511080
end313.086982-15.96261341.569280
4start384.037387-13.086982-41.569280
end4-84.03738713.086982-8.161250
5start484.037387-13.086982-6.838750
end5-84.03738713.086982-42.891780
6start887.22378393.211417-62.613702
end6-87.223783180.388580-268.659514
7start22.68822583.696428-146.717240
end7-2.688225215.903568-355.669884
8start6-15.54692352.93779188.731625
end515.546923-52.93779180.669296
9start7194.591624113.905559181.704016
end6-194.591624-113.905559182.793751
10start13410.65416196.108738215.694843
end7-410.654161-96.108738216.794478
11start531.099596-28.633904-52.777515
end9-31.09959628.633904-56.031314
12start626.25601529.749967-2.865862
end10-26.256015107.050031-144.004233
13start720.485046.158968-42.828610
end11-20.485046162.641030-245.087262
14start1028.63390431.09959643.487386
end9-28.633904-31.09959656.031314
15start11135.68393657.35561183.021096
end10-135.683936-57.355611100.516847
16start12298.32496677.840656188.216788
end11-298.324966-77.840656162.066166
(4)绘图
轴力图:
剪力图:
弯矩图:
(二)第二题
2、计算图示桁架各杆的轴力。
已知A=2400mm2,E=2.0×105MPa。
5分
(1)编号:
(如图)
(2)输入文件
*******************************************************************
**
*ex2compositebeam2012.10.17*
**
*******************************************************************
2.0e814941
122.4e-31e-20
132.4e-31e-20
232.4e-31e-20
242.4e-31e-20
282.4e-31e-20
342.4e-31e-20
482.4e-31e-20
852.4e-31e-20
862.4e-31e-20
572.4e-31e-20
562.4e-31e-20
672.4e-31e-20
792.4e-31e-20
692.4e-31e-20
0.0.
2.3.
0.6.
2.6.
6.6.
6.3.
8.6.
4.6.
8.0.
110.
120.
910.
920.
5
30.-500
40.-500
80.-500
50.-500
7-10-500
0
(3)输出文件
InputDataFileName:
t2.txt
OutputFileName:
t2jie.txt
*******************************************************************
**
*ex2compositebeam2012.10.17*
**
*******************************************************************
TheInputData
TheGeneralInformation
ENMNJNSNLC
2.000E+0814941
TheInformationofMembers
memberstartendAI
1122.400000E-031.000000E-20
2132.400000E-031.000000E-20
3232.400000E-031.000000E-20
4242.400000E-031.000000E-20
5282.400000E-031.000000E-20
6342.400000E-031.000000E-20
7482.400000E-031.000000E-20
8852.400000E-031.000000E-20
9862.400000E-031.000000E-20
10572.400000E-031.000000E-20
11562.400000E-031.000000E-20
12672.400000E-031.000000E-20
13792.400000E-031.000000E-20
14692.400000E-031.000000E-20
TheJointCoordinates
jointXY
1.000000.000000
22.0000003.000000
3.0000006.000000
42.0000006.000000
56.0000006.000000
66.0000003.000000
78.0000006.000000
84.0000006.000000
98.000000.000000
TheInformationofSupports
ISVS
11.000000
12.000000
91.000000
92.000000
LoadingCase1
TheLoadingsatJoints
NLJ=5
jointFXFYFM
3.000000-50.000000.000000
4.000000-50.000000.000000
8.000000-50.000000.000000
5.000000-50.000000.000000
7-10.000000-50.000000.000000
TheLoadingsatMembers
NLM=0
TheResultsofCalculation
TheJointDisplacements
jointuvrotation
1-3.833333E-21-1.325000E-20-2.257495E-04
23.860368E-04-8.812351E-041.226822E-04
3-1.052370E-04-9.375000E-04-7.026908E-05
4-1.746814E-04-1.193735E-031.087908E-04
5-3.552370E-04-1.302888E-03-1.022944E-04
6-7.938923E-04-9.903881E-04-6.211765E-05
7-4.663481E-04-9.375000E-041.412286E-04
8-2.441259E-04-8.137529E-04-3.230398E-05
92.833333E-21-1.175000E-203.510751E-04
TheTerminalForces
memberFNFSM
1start169.106399.000000.000000
end2-69.106399.000000.000000
2start175.000000.000000.000000
end3-75.000000.000000.000000
3start2-30.046261.000000.000000
end330.046261.000000.000000
4start250.000000.000000.000000
end4-50.000000.000000.000000
5start239.060139.000000.000000
end8-39.060139.000000.000000
6start316.666667.000000.000000
end4-16.666667.000000.000000
7start416.666667.000000.000000
end8-16.666667.000000.000000
8start826.666667.000000.000000
end5-26.666667.000000.000000
9start821.032382.000000.000000
end6-21.032382.000000.000000
10start526.666667.000000.000000
end7-26.666667.000000.000000
11start550.000000.000000.000000
end6-50.000000.000000.000000
12start6-30.046261.000000.000000
end730.046261.000000.000000
13start775.000000.000000.000000
end9-75.000000.000000.000000
14start651.078643.000000.000000
end9-51.078643.000000.000000
(4)内力图
轴力图:
(三)第三题
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
(1)编号:
(如图)
(2)输入文件
*******************************************************************
**
*3answert32012.10.18*
**
*******************************************************************
3.45e104561
126.55.50
246.55.50
436.55.50
356.55.50
0.00.0
40.00.0
80.00.0
60.00.0
120.00.0
110
120
130
220
320
520
1
40-320-100
4
14-10.540
24-10.520
34-10.520
44-10.540
(3)输出文件
*******************************************************************
**
*3answert32012.10.18*
**
*******************************************************************
TheInputData
TheGeneralInformation
ENMNJNSNLC
3.450E+104561
TheInformationofMembers
memb