体育场挑棚结构结构大赛SAP建模计算书.docx
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体育场挑棚结构结构大赛SAP建模计算书.docx
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体育场挑棚结构结构大赛SAP建模计算书
通过SAP2000结构建模
一、基本材料参数
1)基本材料截面
木材:
桐木,长度1250mm,截面规格有2mm×2mm(4mm2)、2mm×4mm(8mm2)、2mm×6mm(12mm2),4mm×6mm(24mm2);1mm×55mm(55mm2);
木材力学性能参考值:
顺纹弹性模量E=1.0×104N/mm2(MPa),顺纹抗拉
度σb=30N/mm2(MPa)。
2)计算单元参数
截面尺寸(b*h)(mm2)
I(b*h3/12)(mm4)
弯曲刚度EI(N*mm2)
拉压刚度EA(N)
A1=2*2=4
I1=1.3333
1.3333*104
0.4*105
A2=2*4=8
I2=10.666
1.0666*105
0.8*105
A3=2*6=12
I3=36
3.6*105
1.2*105
A4=4*6=24
I4=72
7.2*105
2.4*105
A5=1*55=55
I5=13864.5833
1.3864*108
5.5*105
3)材料参数
桐木材料属性
数值
密度
0.35×10-6kg/mm3
顺纹弹性模量E
1.0×104N/mm2(MPa)
顺纹抗拉强度σb
30N/mm2(MPa)
泊松比
0.3
二、定义材料属性
1.定义桐木属性
2.定义布纹纸属性
3.定义框架截面属性
矩形截面2mmX2mm矩形截面2mmX4mm
矩形截面4mmX6mmT型截面:
高4mm翼缘厚2mm宽4mm腹板厚2mm
4.定义面截面
三、通过CAD画出结构模型然后导入SAP2000
a)指定相应框架截面及面截面
b)定义荷载模式,添加荷载和风荷载
c)经计算风荷载的基本风压为0.05KN/
d)在相应位置指定均布线荷载为0.0323228N/
e)在面上施加风荷载:
顶面压力系数为1.3;斜面压力系数为1.1;背面压力系数为1.3。
f)运行分析荷载工况
g)通过软件分析得出
1)结构和面的重量
ObjectType
Material
TotalWeight
N
Frame
桐木
0.80
Area
布纹纸
0.71
2)框架截面和面截面信息
Table:
MaterialList2-BySectionProperty
Section
ObjectType
NumPieces
TotalLength
TotalWeight
mm
N
4x6
Frame
42
5832.66
0.48
T2X4
Frame
13
1926.58
7.930E-02
2X2
Frame
46
6270.35
7.780E-02
2x4
Frame
41
5768.15
0.16
paper
Area
0.71
3)结构振型信息
Table:
ModalPeriodsAndFrequencies
OutputCase
StepType
StepNum
Period
Frequency
CircFreq
Eigenvalue
Sec
Cyc/sec
rad/sec
rad2/sec2
MODAL
Mode
1.000000
1.037720
9.6365E-01
6.0548E+00
3.6661E+01
MODAL
Mode
2.000000
1.025648
9.7499E-01
6.1261E+00
3.7529E+01
MODAL
Mode
3.000000
0.707195
1.4140E+00
8.8847E+00
7.8937E+01
MODAL
Mode
4.000000
0.701842
1.4248E+00
8.9524E+00
8.0146E+01
MODAL
Mode
5.000000
0.613916
1.6289E+00
1.0235E+01
1.0475E+02
MODAL
Mode
6.000000
0.589877
1.6953E+00
1.0652E+01
1.1346E+02
MODAL
Mode
7.000000
0.589531
1.6963E+00
1.0658E+01
1.1359E+02
MODAL
Mode
8.000000
0.484772
2.0628E+00
1.2961E+01
1.6799E+02
MODAL
Mode
9.000000
0.480121
2.0828E+00
1.3087E+01
1.7126E+02
MODAL
Mode
10.000000
0.351182
2.8475E+00
1.7892E+01
3.2011E+02
MODAL
Mode
11.000000
0.313842
3.1863E+00
2.0020E+01
4.0081E+02
MODAL
Mode
12.000000
0.239378
4.1775E+00
2.6248E+01
6.8895E+02
4)基础反力信息
Table:
BaseReactions,Part1of3
Table:
BaseReactions,Part1of3
OutputCase
CaseType
GlobalFX
GlobalFY
GlobalFZ
GlobalMX
GlobalMY
GlobalMZ
GlobalX
N
N
N
N-mm
N-mm
N-mm
mm
静载
Combination
5.200E-12
-7.792E-14
20.90
-4179.61
-16080.69
7.419E-10
0.00
风载
Combination
13.26
1.109E-13
-46.40
9280.60
22455.71
2651.44
0.00
Table:
BaseReactions,Part2of3
Table:
BaseReactions,Part2of3
OutputCase
GlobalY
GlobalZ
XCentroidFX
YCentroidFX
ZCentroidFX
XCentroidFY
YCentroidFY
ZCentroidFY
mm
mm
mm
mm
mm
mm
mm
mm
静载
0.00
0.00
2.054E+15
-293.65
-216.40
236.19
-7.487E+15
-216.10
风载
0.00
0.00
2.150E+15
-697.15
-432.76
411.61
-1.776E+16
-432.53
Table:
BaseReactions,Part3of3
Table:
BaseReactions,Part3of3
OutputCase
XCentroidFZ
YCentroidFZ
ZCentroidFZ
mm
mm
mm
静载
1117.22
-400.00
-216.37
风载
1.612E+16
-661.93
-432.92
5)在静荷载和风荷载作用下(粘上布纹纸)的测量点竖向理论位移:
自重(mm)
单独荷载(mm)
总体位移(mm)
静荷载位移
0.0323
1.2459
1.2772
风荷载位移绝对值
0.0323
1.5865
1.5542
6)结构在静载作用下轴力图
7)结构在风载作用下轴力图
单品结构分析
单品静载下轴力图
单品静载下剪力图
单品静载下弯矩图
单品结构反力
位移计算
杆端位移值
--------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码u-水平位移v-竖直位移?
-转角u-水平位移v-竖直位移?
-转角
--------------------------------------------------------------------------------------------
10.000000000.000000000.000000000.154231810.02030560-0.00091221
20.154231810.02030560-0.000912210.28110659-0.06011199-0.00091179
30.28110659-0.06011199-0.000911790.30564852-0.24581210-0.00148899
40.30564852-0.24581210-0.001488990.32694138-0.58294921-0.00224675
50.32694138-0.58294921-0.002246750.34137984-0.98529828-0.00277145
60.34137984-0.98529828-0.002771450.34534425-1.31955325-0.00295867
70.34534425-1.27725325-0.002958670.34534425-1.42310684-0.00295867
80.34534425-1.42310684-0.002958670.34534425-1.46748695-0.00295867
90.20506076-0.77121471-0.002496130.24499529-1.17049967-0.00285319
100.17703739-0.40170759-0.001994430.20506076-0.77121471-0.00249613
110.16337472-0.09613605-0.000866910.17703739-0.40170759-0.00199443
120.16337472-0.09613605-0.000866910.07858147-0.04892158-0.00109765
130.07858147-0.04892158-0.001097650.000000000.000000000.00000000
140.154231810.02030560-0.000912210.16337472-0.09613605-0.00086691
150.000000000.000000000.000000000.07858147-0.04892158-0.00109765
160.07858147-0.04892158-0.001097650.154231810.02030560-0.00091221
170.28110659-0.06011199-0.000911790.16337472-0.09613605-0.00086691
180.16337472-0.09613605-0.000866910.30564852-0.24581210-0.00148899
190.30564852-0.24581210-0.001488990.17703739-0.40170759-0.00199443
200.17703739-0.40170759-0.001994430.32694138-0.58294921-0.00224675
210.32694138-0.58294921-0.002246750.20506076-0.77121471-0.00249613
220.20506076-0.77121471-0.002496130.34137984-0.98529828-0.00277145
230.34137984-0.98529828-0.002771450.24499529-1.17049967-0.00285319
240.24499529-1.17049967-0.002853190.34534425-1.31955325-0.00295867
250.154231810.02030560-0.000912210.125953260.04311089-0.00091221
--------------------------------------------------------------------------------------------
内力计算
杆端内力值
--------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码轴力剪力弯矩轴力剪力弯矩
--------------------------------------------------------------------------------------------
127.37834200.11190364-13.649267727.37834200.111903646.26958098
227.74343040.01152912-0.9074122327.74343040.011529120.91126691
333.6575136-0.039285101.0626574833.6575136-0.03928510-5.81223583
429.20163220.01654005-4.5648616229.20163220.01654005-1.67035207
521.65769300.00188407-2.5119016121.65769300.00188407-2.21045060
68.273547540.02711345-2.731195478.273547540.027113450.38685183
70.000000000.00000000-0.000000000.000000000.000000000.00000000
8-0.000000000.00000000-0.00000000-0.000000000.000000000.00000000
9-15.70046940.02869815-3.85606282-15.70046940.028698150.33710938
10-26.0903388-0.01413059-0.95689116-26.0903388-0.01413059-3.33528476
11-31.83831500.04276069-8.33554303-31.83831500.04276069-0.23129249
12-28.6175076-0.106279734.90682136-28.6175076-0.10627973-7.70648320
13-46.90339780.38988049-10.1779845-46.90339780.3898804926.8298692
14-7.41938254-0.063341425.77092814-7.41938254-0.06334142-5.40106839
1519.0466714-0.00108320-0.6449038419.0466714-0.00108320-0.81825031
16-12.1835998-0.019116991.65325100-12.1835998-0.01911699-1.40606507
17-26.76472160.00303497-0.15139057-26.76472160.003034970.22798057
18-2.960897720.01803390-1.74436615-2.960897720.018033900.80601232
193.13773756-0.00038322-0.441361883.13773756-0.00038322-0.48592105
20-4.39245237-0.008182740.23967762-4.39245237-0.00818274-0.70559699
215.12808834-0.008445110.135952555.12808834-0.00844511-0.68391932
22-7.37671949-0.00287066-0.16314126-7.37671949-0.00287066-0.44183212
238.40122383-0.005226980.078912758.40122383-0.00522698-0.31202936
24-10.2876052-0.006622560.02508002-10.2876052-0.00662256-0.38685183
25-0.000000000.00000000-0.00000000-0.000000000.00000000-0.00000000
--------------------------------------------------------------------------------------------
反力计算
约束反力值--------------------------------------------------------------------------------------------
结点约束反力合力
支座----------------------------------------------------------------------------------
结点水平竖直力矩大小角度力矩
--------------------------------------------------------------------------------------------
1-15.9407554-37.971884514.294171641.1821770247.22713214.2941716
215.940755444.113184526.829869246.905018270.132154026.8298692
--------------------------------------------------------------------------------------------
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