Post on 02-Mar-2016
description
7/18/2019 matricial vigas
http://slidepdf.com/reader/full/matricial-vigas 1/5
5 6 3 1
900 0 -3.8 -900
S0= 900 E= 3 0 2.53 3.8 0
S1= 7.6 A= 0.09 K'1= -3.8 3.8 7.6 0
S2= 3.8 I= 1.9 -900 0 0 900
S3= 2.53 L= 3 0 -2.53 -3.8 0A= 900 -3.8 3.8 3.8 0
A'= 2.53
B= 0
C= 3.8
C'= 0
1 4 2 7
540 0 -1.368 -540
S0= 540 E= 3 0 0.55 1.368 0
S1= 4.56 A= 0.09 K'2= -1.368 1.368 4.56 0S2= 1.37 I= 1.9 -540 0 0 540
S3= 0.55 L= 5 0 -0.55 -1.368 0
A= 540 -1.368 1.368 2.28 0
A'= 0.55
B= 0
C= 1.37 1 0 0 0 0
C'= 0 0 1 0 0 0
T1=T2= 0 0 1 0 0
0 0 0 1 0
0 0 0 0 1
0 0 0 0 0
900 0 0 -900 0
0 2.53 3.8 0 -2.53
K1= 0 3.8 7.6 0 -3.8
-900 0 0 900 0
0 -2.53 -3.8 0 2.53
0 -3.8 3.8 0 3.8
540 0 0 540 0
0 0.55 1.4 0 -0.55
K2= 0 1.4 4.6 0 -1.4
540 0 0 540 0
0 -0.55 -1.4 0 0.55
0 -1.4 2.3 0 1.4
7/18/2019 matricial vigas
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4 2 1 2 3 4 5 6 7
0 -3.8 5 1440 -1 0 0 -900 0 -540
-2.53 3.8 6 -1.37 # 3.8 -2.43 -3.80 3.8 0
-3.8 3.8 3 0 4 7.6 -3.8 -3.8 3.8 0
0 0 1 0 -2 -3.8 3.08 0 -2.53 0
2.53 -3.8 4 K= -900 # -3.8 0 900 0 0-3.8 7.6 2 0 4 3.8 -2.53 0 2.53 0
-540 0 0 0 0 0 540
0 -1 0 -0.55 0 0 0
-1.37 2 0 1.368 0 0 0
8 9 0.001 # ###
0 -1.368 1 inv(K11)= ### 0 -0.05
-0.55 1.368 4 ### 0 0.156
-1.368 2.28 2
0 0 7
0.55 -1.368 8 0 D1
-1.368 4.56 9 Dd= -0.17 D2
-0.27 D3
0
0 !i1 900 0 0 -900 0
0 "i1 0 2.53 3.8 0 -2.53
0 i1 = 0 3.8 7.6 0 -3.8
0 !$1 -900 0 0 900 0
1 "$1 0 -2.53 -3.8 0 2.53
$1 0 -3.8 3.8 0 3.8
0
-3.8 !i2 540 0 0 540 0
3.8 "i2 0 0.55 1.4 0 -0.55
0 i2 = 0 1.4 4.6 0 -1.4
3.8 !$2 540 0 0 540 0
7.6 "$2 0 -0.55 -1.4 0 0.55
$2 0 -1.4 2.3 0 1.4
0
-1.4
2.3
0
1.4
4.6
7/18/2019 matricial vigas
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8 9
0 -1 1
-1.37 2 2
0 0 3
-0.55 1 4
0 0 5
0 0 6
0 0 7
0.55 -1 8
-1.37 5 9
0
%&= -3.06
-2.7
0 0 0
-3.8 0 -0.38
3.8 -0.3 = -3.04
0 0 0
3.8 0 0.38
7.6 -0.2 -2.66
0 0 0
-1.4 0 -0.28
2.3 -0.2 = -0.92
0 0 0
1.4 0 0.28
4.6 0 -0.46
7/18/2019 matricial vigas
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1 2
K= 7.6 3.8 1 inv(K11)= 0.156 -0.049
3.8 7.6 2 -0.049 0.097
2 3
K= 4.56 2.28 2%&=
-2.7
2.28 4.56 3 -3.6
1 2 3
7.6 3.8 0 1 -0.246 D1
K= 3.8 12.16 2 2 Dd= -0.219 D2
0 2.28 5 3
-0.5
7.6 3.8 -0.25 -2.736
3.8 7.6 -0.22 -2.6221
4.56 2.28 -0.22 -1
2.28 4.56 0 -0.502
i1=
7.6 3.8
-0.25=
-3.04
$1 3.8 7.6 -0.22 -2.66
i2=
4.56 2.28
-0.22=
-0.92
$2 2.28 4.56 0 -0.46
7/18/2019 matricial vigas
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1.26 0.63
1=
2.7
0.63 2.02 2 3.06
0.9403 -0.2933 2.7
-0.2933 0.5865 3.06
1.6414
1.0029
-0.0018
4.5937
-4.9978
4.22