结构矩阵分析及程序设计习题.docx

结构矩阵分析及程序设计习题.docx

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结构矩阵分析及程序设计习题

如图所示，已知弹模E=2.1×105MPa，各杆截面面积A=10.0cm2，截面惯性距I=21.0cm4，用平面刚架分析程序计算其内力，要求给出单元划分图，输入数据及分析结果。

（注意单位的统一。

将分析结果发送到civil2007@邮箱）

答案：

1094

10.00.0111

20.04.2000

30.08.4000

43.68.4000

53.64.2000

63.60.0111

77.58.4000

87.54.2000

97.50.0111

1123

2232

3341

4254

5563

6452

7471

8584

9893

10782

12.1E80.0012.1E-7

22.1E80.0014.2E-7

32.1E80.0016.3E-7

42.1E80.0013.15E-7

23

216

319

321.8-10

713.9-3

813.9-5

运行结果：

INPUTFILENAME:

11.txt

OUTPUTFILENAME:

22.txt

NUMBEROFELEMENT=10

NUMBEROFNODE=9

NUMBEROFELEMENTTYPE=4

NODALMESSAGE

NODEXYXXYYZZ

10.00000.0000111

20.00004.2000000

30.00008.4000000

43.60008.4000000

53.60004.2000000

63.60000.0000111

77.50008.4000000

87.50004.2000000

97.50000.0000111

ELEMENTMESSAGE

ELEMENTNODE-INODE-JTYPE

1123

2232

3341

4254

5563

6452

7471

8584

9893

10782

ELEMENTTYPEMESSAGE

NUMBEREAI

10.2100E+090.1000E-020.2100E-06

20.2100E+090.1000E-020.4200E-06

30.2100E+090.1000E-020.6300E-06

40.2100E+090.1000E-020.3150E-06

NPJ=2NPF=3

NODALLOADS

NODEDIRECTIONVALUE

2.1.6.0000

3.1.9.0000

NON-NODALLOADS

ELEMENTINDaq

3.2.1.8000-10.0000

7.1.3.9000-3.0000

8.1.3.9000-5.0000

MAX.HALF-BANDWIDTH---NW=12

NODEUVCETA

10.000000E+000.000000E+000.000000E+00

20.431838E+000.887286E-040.981388E-01

30.100562E+010.572090E-040.124314E+00

40.100549E+01-0.711760E-030.438206E-01

50.431792E+00-0.465157E-030.984924E-01

60.000000E+000.000000E+000.000000E+00

70.100543E+01-0.603449E-030.678640E-01

80.431758E+00-0.447572E-030.867737E-01

90.000000E+000.000000E+000.000000E+00

ELEMENTNQM

1N1=-4.4364Q1=4.8374M1=-13.2500

N2=4.4364Q2=-4.8374M2=-7.0672

2N1=1.5760Q1=1.5233M1=-3.7486

N2=-1.5760Q2=-1.5233M2=-2.6493

3N1=7.4739Q1=1.5760M1=2.6493

N2=-7.4739Q2=8.4240M2=9.6772

4N1=2.6858Q1=-6.0124M1=10.8158

N2=-2.6858Q2=6.0124M2=10.8288

5N1=23.2578Q1=4.8205M1=-7.0206

N2=-23.2578Q2=-4.8205M2=-13.2256

6N1=12.3301Q1=3.9263M1=-9.3934

N2=-12.3301Q2=-3.9263M2=-7.0972

7N1=3.5558Q1=3.9061M1=-0.2838

N2=-3.5558Q2=7.7939M2=7.8649

8N1=1.7905Q1=4.9153M1=3.2889

N2=-1.7905Q2=14.5847M2=15.5664

9N1=22.3786Q1=5.3472M1=-8.4956

N2=-22.3786Q2=-5.3472M2=-13.9624

10N1=7.7939Q1=3.5561M1=-7.8649

N2=-7.7939Q2=-3.5561M2=-7.0707

答案：

28202

10.00.0111

20.03.3000

30.06.6000

40.09.9000

50.013.2000

66.613.2000

76.69.9000

86.66.6000

96.63.3000

106.60.0111

119.013.2000

129.09.9000

139.06.6000

149.03.3000

159.00.0111

1615.013.2000

1715.09.9000

1815.06.6000

1915.03.3000

2015.00.0111

1121

2231

3341

4451

5562

6472

7382

8292

99101

10891

11781

12671

136112

147122

158132

169142

1714151

1813141

1912131

2011121

2111162

2212172

2313182

2414192

2519201

2618191

2717181

2816171

13.0E70.250.0054

22.6E70.180.0052

40

2130.22

3158.73

4189.09

51109.59

运行后结果：

INPUTFILENAME:

22.txt

OUTPUTFILENAME:

33.txt

NUMBEROFELEMENT=28

NUMBEROFNODE=20

NUMBEROFELEMENTTYPE=2

NODALMESSAGE

NODEXYXXYYZZ

10.00000.0000111

20.00003.3000000

30.00006.6000000

40.00009.9000000

50.000013.2000000

66.600013.2000000

76.60009.9000000

86.60006.6000000

96.60003.3000000

106.60000.0000111

119.000013.2000000

129.00009.9000000

139.00006.6000000

149.00003.3000000

159.00000.0000111

1615.000013.2000000

1715.00009.9000000

1815.00006.6000000

1915.00003.3000000

2015.00000.0000111

ELEMENTMESSAGE

ELEMENTNODE-INODE-JTYPE

1121

2231

3341

4451

5562

6472

7382

8292

99101

10891

11781

12671

136112

147122

158132

169142

1714151

1813141

1912131

2011121

2111162

2212172

2313182

2414192

2519201

2618191

2717181

2816171

ELEMENTTYPEMESSAGE

NUMBEREAI

10.3000E+080.2500E+000.5400E-02

20.2600E+080.1800E+000.5200E-02

NPJ=4NPF=0

NODALLOADS

NODEDIRECTIONVALUE

2.1.30.2200

3.1.58.7300

4.1.89.0900

5.1.109.5900

MAX.HALF-BANDWIDTH---NW=24

NODEUVCETA

10.000000E+000.000000E+000.000000E+00

20.262574E-020.412457E-040.958458E-03

30.638787E-020.694240E-040.902553E-03

40.951571E-020.846701E-040.651327E-03

50.114831E-010.902267E-040.349485E-03

60.113527E-010.239451E-030.283434E-03

70.940898E-020.234213E-030.485875E-03

80.631477E-020.202410E-030.635406E-03

90.261004E-020.125802E-030.610692E-03

100.000000E+000.000000E+000.000000E+00

110.113239E-01-0.224007E-030.276990E-03

120.938598E-02-0.219650E-030.477397E-03

130.629942E-02-0.190421E-030.623704E-03

140.260305E-02-0.118673E-030.597791E-03

150.000000E+000.000000E+000.000000E+00

160.113002E-01-0.105671E-030.332895E-03

170.936844E-02-0.992332E-040.630449E-03

180.628954E-02-0.814135E-040.874927E-03

190.258111E-02-0.483750E-040.925637E-03

200.000000E+000.000000E+000.000000E+00

ELEMENTNQM

1N1=-93.7403Q1=56.4902M1=-140.2605

N2=93.7403Q2=-56.4902M2=-46.1573

2N1=-64.0415Q1=37.4043M1=-58.9727

N2=64.0415Q2=-37.4043M2=-64.4616

3N1=-34.6502Q1=30.5060M1=-38.0020

N2=34.6502Q2=-30.5060M2=-62.6679

4N1=-12.6287Q1=17.0970M1=-13.3924

N2=12.6287Q2=-17.0970M2=-43.0278

5N1=92.4920Q1=-12.6287M1=43.0277

N2=-92.4920Q2=12.6287M2=40.3217

6N1=75.6812Q1=-22.0215M1=76.0603

N2=-75.6812Q2=22.0215M2=69.2819

7N1=51.8317Q1=-29.3912M1=102.4636

N2=-51.8317Q2=29.3912M2=91.5186

8N1=11.1342Q1=-29.6988M1=105.1300

N2=-11.1342Q2=29.6988M2=90.8821

9N1=-285.9135Q1=86.6812M1=-113.0445

N2=285.9135Q2=-86.6812M2=-173.0034

10N1=-174.1095Q1=89.1845M1=-145.9413

N2=174.1095Q2=-89.1845M2=-148.3677

11N1=-72.2792Q1=67.2987M1=-118.3835

N2=72.2792Q2=-67.2987M2=-103.7024

12N1=-11.9056Q1=36.4775M1=-70.1259

N2=11.9056Q2=-36.4775M2=-50.2500

13N1=56.0143Q1=-24.5343M1=29.8043

N2=-56.0143Q2=24.5343M2=29.0782

14N1=44.8577Q1=-82.3950M1=99.3516

N2=-44.8577Q2=82.3950M2=98.3965

15N1=29.9472Q1=-131.2215M1=158.1250

N2=-29.9472Q2=131.2215M2=156.8066

16N1=13.6370Q1=-141.5028M1=170.5301

N2=-13.6370Q2=141.5028M2=169.0766

17N1=269.7105Q1=87.4543M1=-114.9536

N2=-269.7105Q2=-87.4543M2=-173.6458

18N1=163.0636Q1=90.9280M1=-148.7591

N2=-163.0636Q2=-90.9280M2=-151.3033

19N1=66.4301Q1=68.6863M1=-120.5147

N2=-66.4301Q2=-68.6863M2=-106.1501

20N1=9.9028Q1=37.5000M1=-71.7132

N2=-9.9028Q2=-37.5000M2=-52.0368

21N1=18.5128Q1=-14.6316M1=42.6350

N2=-18.5128Q2=14.6316M2=45.1545

22N1=13.6746Q1=-25.8679M1=74.1551

N2=-13.6746Q2=25.8679M2=81.0526

23N1=7.7065Q1=-34.5879M1=98.1028

N2=-7.7065Q2=34.5879M2=109.4246

24N1=17.1105Q1=-34.8559M1=97.1803

N2=-17.1105Q2=34.8559M2=111.9552

25N1=109.9432Q1=57.0054M1=-48.6185

N2=-109.9432Q2=-57.0054M2=-139.4993

26N1=75.0874Q1=39.8946M1=-68.3156

N2=-75.0874Q2=-39.8946M2=-63.3368

27N1=40.4995Q1=32.1883M1=-65.1124

N2=-40.4995Q2=-32.1883M2=-41.1091

28N1=14.6316Q1=18.5136M1=-45.1547

N2=-14.6316Q2=-18.5136M2=-15.9403