EMPARRILLADO EN MATHCAD
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Cálculo matricial emparrillados
Transcript of EMPARRILLADO EN MATHCAD
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1
EMPARRILLADO EN MATHCAD
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2
cm4 t t / cm2
cm4
BARRA 1
Transformando a coordenadas globales
J 337.62 Fu 0.5 E 2000
0.3 I 168.81
GE
2 1 ( )769.2308
L1 300 L2 300 L3 500
1 90deg
T1
cos 1 sin 1
0
0
0
0
sin 1 cos 1
0
0
0
0
0
0
1
0
0
0
0
0
0
cos 1 sin 1
0
0
0
0
sin 1 cos 1
0
0
0
0
0
0
1
FL1
0
0
0
0
0
0
FG1 T1TFL1
0
0
0
0
0
0
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3
BARRA 2
Transformando a coordenadas globales
BARRA 3
Transformando a coordenadas globales
2 90deg
T2
cos 2 sin 2
0
0
0
0
sin 2 cos 2
0
0
0
0
0
0
1
0
0
0
0
0
0
cos 2 sin 2
0
0
0
0
sin 2 cos 2
0
0
0
0
0
0
1
FL2
0
0
0
0
0
0
FG2 T2TFL2
0
0
0
0
0
0
3 0deg
T3
cos 3 sin 3
0
0
0
0
sin 3 cos 3
0
0
0
0
0
0
1
0
0
0
0
0
0
cos 3 sin 3
0
0
0
0
sin 3 cos 3
0
0
0
0
0
0
1
FL3
0
0
0.5
0
0
0
FG3 T3TFL3
0
0
0.5
0
0
0
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MATRIZ DE RIGIDECES DE CADA BARRA
BARRA 1
F
FG13 0
FG30 0
FG14 0
FG31 0
FG15 0
FG32 0
FG23 0
FG33 0
FG24 0
FG34 0
FG25 0
FG35 0
0
0
0.5
0
0
0
T11
cos 1 sin 1
0
sin 1 cos 1
0
0
0
1
TRANSFORMANDO
kLBB1
J G
L1
0
0
0
4 E I
L1
6 E I
L12
0
6 E I
L12
12 E I
L13
kGBB1 T11TkLBB1 T11
4501.6
0
22.508
0
865.6923
0
22.508
0
0.1501
kLAA1
J G
L1
0
0
0
4 E I
L1
6 E I
L12
0
6 E I
L12
12 E I
L13
865.6923
0
0
0
4501.6
22.508
0
22.508
0.1501
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5
BARRA 2
kLAB1
J G
L1
0
0
0
2 E I
L1
6 E I
L12
0
6 E I
L12
12 E I
L13
865.6923
0
0
0
2250.8
22.508
0
22.508
0.1501
kLBA1
J G
L1
0
0
0
2 E I
L1
6 E I
L12
0
6 E I
L12
12 E I
L13
865.6923
0
0
0
2250.8
22.508
0
22.508
0.1501
T22
cos 2 sin 2
0
sin 2 cos 2
0
0
0
1
kLAA2
J G
L2
0
0
0
4 E I
L2
6 E I
L22
0
6 E I
L22
12 E I
L23
865.6923
0
0
0
4501.6
22.508
0
22.508
0.1501
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BARRA 3
kLAB2
J G
L2
0
0
0
2 E I
L2
6 E I
L22
0
6 E I
L22
12 E I
L23
865.6923
0
0
0
2250.8
22.508
0
22.508
0.1501
kLBA2
J G
L2
0
0
0
2 E I
L2
6 E I
L22
0
6 E I
L22
12 E I
L23
865.6923
0
0
0
2250.8
22.508
0
22.508
0.1501
TRANSFORMANDO
kLBB2
J G
L2
0
0
0
4 E I
L2
6 E I
L22
0
6 E I
L22
12 E I
L23
kGBB2 T22
TkLBB2 T22
4501.6
0
22.508
0
865.6923
0
22.508
0
0.1501
TRANSFORMANDO
kLAA3
J G
L3
0
0
0
4 E I
L3
6 E I
L32
0
6 E I
L32
12 E I
L33
kGAA3 kLAA3
519.4154
0
0
0
2700.96
8.1029
0
8.1029
0.0324
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kLAB3
J G
L3
0
0
0
2 E I
L3
6 E I
L32
0
6 E I
L32
12 E I
L33
kGAB3 kLAB3
519.4154
0
0
0
1350.48
8.1029
0
8.1029
0.0324
kLBA3
J G
L3
0
0
0
2 E I
L3
6 E I
L32
0
6 E I
L32
12 E I
L33
kGBA3 kLBA3
519.4154
0
0
0
1350.48
8.1029
0
8.1029
0.0324
kLBB3
J G
L3
0
0
0
4 E I
L3
6 E I
L32
0
6 E I
L32
12 E I
L33
kGBB3 kLBB3
519.4154
0
0
0
2700.96
8.1029
0
8.1029
0.0324
K11 augment kGBB1 kGAA3 kGAB3
K22 augment kGBA3 kGBB3 kGBB2
K stack K11 K22
5021.0154
0
22.508
519.4154
0
0
0
3566.6523
8.1029
0
1350.48
8.1029
22.508
8.1029
0.1825
0
8.1029
0.0324
519.4154
0
0
5021.0154
0
22.508
0
1350.48
8.1029
0
3566.6523
8.1029
0
8.1029
0.0324
22.508
8.1029
0.1825
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BARRA 1
d K1
F( )
0.047825
0.011766
10.234344
0.018818
0.011766
3.09425
dG1
0
0
0
d0 0 ( )
d1 0 ( )
d2 0 ( )
0
0
0
0.0478
0.0118
10.2343
dL1 T1 dG1
0
0
0
0.01176607
0.0478248
10.23434408
k11 augment kLAA1 kLAB1
k12 augment kLBA1 kLBB1
kL1 stack k11 k12
865.6923
0
0
865.6923
0
0
0
4501.6
22.508
0
2250.8
22.508
0
22.508
0.1501
0
22.508
0.1501
865.6923
0
0
865.6923
0
0
0
2250.8
22.508
0
4501.6
22.508
0
22.508
0.1501
0
22.508
0.1501
FL11 kL1 dL1
10.1858
122.7106
0.4593
10.1858
15.0665
0.4593
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BARRA 2
BARRA 3
dG2
0
0
0
d3 0 ( )
d4 0 ( )
d5 0 ( )
0
0
0
0.0188
0.0118
3.0943
dL2 T2 dG2
0
0
0
0.0118
0.0188
3.0943
k21 augment kLAA2 kLAB2
k22 augment kLBA2 kLBB2
kL2 stack k21 k22
865.6923
0
0
865.6923
0
0
0
4501.6
22.508
0
2250.8
22.508
0
22.508
0.1501
0
22.508
0.1501
865.6923
0
0
865.6923
0
0
0
2250.8
22.508
0
4501.6
22.508
0
22.508
0.1501
0
22.508
0.1501
FL22 kL2 dL2
10.1858
27.2894
0.0407
10.1858
15.0665
0.0407
dL3 d
0.0478
0.0118
10.2343
0.0188
0.0118
3.0943
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k31 augment kLAA3 kLAB3
k32 augment kLBA3 kLBB3
kL3 stack k31 k32
519.4154
0
0
519.4154
0
0
0
2700.96
8.1029
0
1350.48
8.1029
0
8.1029
0.0324
0
8.1029
0.0324
519.4154
0
0
519.4154
0
0
0
1350.48
8.1029
0
2700.96
8.1029
0
8.1029
0.0324
0
8.1029
0.0324
FL33 kL3 dL3
15.0665
10.1858
0.0407
15.0665
10.1858
0.0407
F1 FL1 FL11
10.1858
122.71055
0.45926
10.1858
15.06649
0.45926
F2 FL2 FL22
10.1858
27.28945
0.04074
10.1858
15.06649
0.04074
F3 FL3 FL33
15.06649
10.1858
0.45926
15.06649
10.1858
0.04074
