perhitungan truss dengan metode matriks
TRANSCRIPT
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7/24/2019 Perhitungan Truss dengan Metode Matriks
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B 3000 mm Pz 4,5 kN
H 4000 mm Px 1,35 kN
E 200000 Mpa Py 2,7 kN
4272
Koordinat titik-titik nodal
Nodal ! "
1 4500 0 0
2 4500 3000 0
3 0 3000 0
4 0 0 0
5 4500 0 4000
# 4500 3000 4000
7 0 3000 4000
$ 0 0 4000% 4500 1500 4000
10 2250 3000 4000 0,%3#3
11 0 1500 4000
12 2250 0 4000
Pan&an' (atan' dan )o*in+* *+d+t ara
Batan' Nodal
.mm/i & Px .N/
1 1 5 4174 4000 0 0 1 20$700
2 1 % 1150 4272 0 0,3511 0,%3#3 53$3%
3 2 % 1150 4272 0 -0,3511 0,%3#3 53$3%
4 2 # 4174 4000 0 0 1 20$700
5 2 10 1150 45$%,4 -0,4%03 0 0,$71# 5011#
# 3 10 1150 45$%,4 0,4%03 0 0,$71# 5011# 1350
7 3 7 4174 4000 0 0 1 20$700 1350
$ 3 11 1150 4272 0 -0,3511 0,%3#3 53$3% 1350
% 4 11 1150 4272 0 0,3511 0,%3#3 53$3%
10 4 $ 4174 4000 0 0 1 20$700
11 4 12 1150 45$%,4 0,4%03 0 0,$71# 5011#
12 1 12 1150 45$%,4 -0,4%03 0 0,$71# 5011#
13 5 % 4174 1500 0 1 0 55#53314 # % 4174 1500 0 -1 0 55#533
15 # 10 4174 2250 -1 0 0 371022
1# 7 10 4174 2250 1 0 0 371022
17 7 11 4174 1500 0 -1 0 55#533
1$ $ 11 4174 1500 0 1 0 55#533
1% $ 12 4174 2250 1 0 0 371022
20 5 12 4174 2250 -1 0 0 371022
21 % 12 1150 2704,2 -0,$321 -0,5547 0 $5054
22 % 10 1150 2704,2 -0,$321 0,5547 0 $5054
23 10 11 1150 2704,2 -0,$321 -0,5547 0 $5054
24 11 12 1150 2704,2 0,$321 -0,5547 0 $5054
Elemen 1 i = 1 j = 5
.mm2/ x
x
x
/L
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AE/L
0 0 1 208700
1 1 1 5 5 5
1 20$700 0 0 -20$700 0 01 0 0 0 0 0 0
1 0 0 0 0 0 0
5 -20$700 0 0 20$700 0 0
5 0 0 0 0 0 0
5 0 0 0 0 0 0
1 1 1 5 5 5
1 0 0 1 0 0 0
1 0 0 0 0 0 0
1 0 0 0 0 0 0 x5 0 0 0 0 0 1
5 0 0 0 0 0 0
5 0 0 0 0 0 0
1 1 1 5 5 5
1 0 0 0 0 0 0
1 0 0 0 0 0 0
1 0 0 20$700 0 0 -20$700
5 0 0 0 0 0 0
5 0 0 0 0 0 0
5 0 0 -20$700 0 0 20$700
Elemen 2 i = 1 j = %
AE/L
0 0.351123 0.936329 53838.93
1 1 1 9 9 91 53$3% 0 0 -53$3% 0 0
1 0 0 0 0 0 0
1 0 0 0 0 0 0
9 -53$3% 0 0 53$3% 0 0
9 0 0 0 0 0 0
9 0 0 0 0 0 0
1 1 1 9 9 9
1 0 0,3511 0,%3#3 0 0 0
1 0 0 0 0 0 0
1 0 0 0 0 0 0
x9 0 0 0 0 0,3511 0,%3#3
x
x
x
kl.1/
k'
.1/
k'
.1/
x
x
x
Kl.2/
K'
.2/
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9 0 0 0 0 0 0
9 0 0 0 0 0 0
1 1 1 9 9 9
1 0 0 0 0 0 0
1 0 ##37,7 17700 0 -##37,7 -17700
1 0 17700 47201 0 -17700 -47201
9 0 0 0 0 0 0
9 0 -##37,7 -17700 0 ##37,7 17700
9 0 -17700 -47201 0 17700 47201
Elemen 3 i = 2 j = %
AE/L
0 -0.351123 0.936329 53838.93
2 2 2 9 9 9
2 53$3% 0 0 -53$3% 0 0
2 0 0 0 0 0 0
2 0 0 0 0 0 0
9 -53$3% 0 0 53$3% 0 0
9 0 0 0 0 0 0
9 0 0 0 0 0 0
2 2 2 9 9 9
2 0 -0,3511 0,%3#3 0 0 0
2 0 0 0 0 0 0
2 0 0 0 0 0 0
x9 0 0 0 0 -0,3511 0,%3#3
9 0 0 0 0 0 0
9 0 0 0 0 0 0
2 2 2 9 9 9
2 0 0 0 0 0 02 0 ##37,7 -17700 0 -##37,7 17700
2 0 -17700 47201 0 17700 -47201
9 0 0 0 0 0 0
9 0 -##37,7 17700 0 ##37,7 -17700
9 0 17700 -47201 0 -17700 47201
Elemen 4 i = 2 j = #
AE/L
0 0 1 208700
2 2 2 6 6 6
K'
.2/
x
x
x
Kl.3/
K'
.3/
K'
.3/
x
x
x
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2 20$700 0 0 -20$700 0 0
2 0 0 0 0 0 0
2 0 0 0 0 0 0
6 -20$700 0 0 20$700 0 0
6 0 0 0 0 0 0
6 0 0 0 0 0 0
2 2 2 6 6 6
2 0 0 1 0 0 0
2 0 0 0 0 0 0
2 0 0 0 0 0 0
x6 0 0 0 0 0 1
6 0 0 0 0 0 0
6 0 0 0 0 0 0
2 2 2 6 6 62 0 0 0 0 0 0
2 0 0 0 0 0 0
2 0 0 20$700 0 0 -20$700
6 0 0 0 0 0 0
6 0 0 0 0 0 0
6 0 0 -20$700 0 0 20$700
Elemen 5 i = 2 j = 10
AE/L
-0.490261 0 0.871576 50115.59
2 2 2 10 10 10
2 5011# 0 0 -5011# 0 0
2 0 0 0 0 0 0
2 0 0 0 0 0 0
10 -5011# 0 0 5011# 0 0
10 0 0 0 0 0 0
10 0 0 0 0 0 0
2 2 2 10 10 10
2 -0,4%03 0 0,$71# 0 0 0
2 0 0 0 0 0 0
2 0 0 0 0 0 0
x10 0 0 0 -0,4%03 0 0,$71#
10 0 0 0 0 0 0
10 0 0 0 0 0 0
2 2 2 10 10 10
2 1204# 0 -21414 -1204# 0 21414
Kl.4/
K'
.4/
K'
.4/
x
x
x
Kl.5/
K'
.5/
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2 0 0 0 0 0 0
2 -21414 0 3$070 21414 0 -3$070
10 -1204# 0 21414 1204# 0 -21414
10 0 0 0 0 0 0
10 21414 0 -3$070 -21414 0 3$070
Elemen 6 i = 3 j = 10
AE/L
0.490261 0 0.871576 50115.59
3 3 3 10 10 10
3 5011# 0 0 -5011# 0 0
3 0 0 0 0 0 0
3 0 0 0 0 0 0
10 -5011# 0 0 5011# 0 010 0 0 0 0 0 0
10 0 0 0 0 0 0
3 3 3 10 10 10
3 0,4%03 0 0,$71# 0 0 0
3 0 0 0 0 0 0
3 0 0 0 0 0 0
x10 0 0 0 0,4%03 0 0,$71#
10 0 0 0 0 0 0
10 0 0 0 0 0 0
3 3 3 10 10 10
3 1204# 0 21414 -1204# 0 -21414
3 0 0 0 0 0 0
3 21414 0 3$070 -21414 0 -3$070
10 -1204# 0 -21414 1204# 0 21414
10 0 0 0 0 0 0
10 -21414 0 -3$070 21414 0 3$070
Elemen 7 i = 3 j = 7
AE/L
0 0 1 208700
3 3 3 7 7 7
3 20$700 0 0 -20$700 0 0
3 0 0 0 0 0 0
3 0 0 0 0 0 0
7 -20$700 0 0 20$700 0 0
7 0 0 0 0 0 0
K'
.5/
x
x
x
Kl.#/
K'
.#/
K'
.#/
x
x
x
Kl.7/
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7 0 0 0 0 0 0
3 3 3 7 7 7
3 0 0 1 0 0 0
3 0 0 0 0 0 0
3 0 0 0 0 0 0 x7 0 0 0 0 0 1
7 0 0 0 0 0 0
7 0 0 0 0 0 0
3 3 3 7 7 7
3 0 0 0 0 0 0
3 0 0 0 0 0 0
3 0 0 20$700 0 0 -20$700
7 0 0 0 0 0 0
7 0 0 0 0 0 07 0 0 -20$700 0 0 20$700
Elemen 8 i = 3 j = 11
AE/L
0 -0.351123 0.936329 53838.93
3 3 3 11 11 11
3 53$3% 0 0 -53$3% 0 0
3 0 0 0 0 0 0
3 0 0 0 0 0 0
11 -53$3% 0 0 53$3% 0 0
11 0 0 0 0 0 0
11 0 0 0 0 0 0
3 3 3 11 11 11
3 0 -0,3511 0,%3#3 0 0 0
3 0 0 0 0 0 0
3 0 0 0 0 0 0
x11 0 0 0 0 -0,3511 0,%3#3
11 0 0 0 0 0 0
11 0 0 0 0 0 0
3 3 3 11 11 11
3 0 0 0 0 0 0
3 0 ##37,7 -17700 0 -##37,7 17700
3 0 -17700 47201 0 17700 -47201
11 0 0 0 0 0 0
11 0 -##37,7 17700 0 ##37,7 -17700
11 0 17700 -47201 0 -17700 47201
K'.7/
K'
.7/
x
x
x
Kl.$/
K'
.$/
K'.$/
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ral *ti6n** Matrix
1 2
1
1
1204# 0 -21414 0 0 0 0
1 0 ##37,7 17700 0 0 0 0H1 -21414 17700 2%3%71 0 0 0 0
2
2
0 0 0 1204# 0 -21414 0
2 0 0 0 0 ##37,7 -17700 0
H2 0 0 0 -21414 -17700 2%3%71 0
3
3
0 0 0 0 0 0 1204#
3 0 0 0 0 0 0 0
H3 0 0 0 0 0 0 21414
4
4
0 0 0 0 0 0 0
4 0 0 0 0 0 0 0
H4 0 0 0 0 0 0 0
5 05
0 0 0 0 0 0 05 2700 0 0 0 0 0 0 0
H5 -4500 0 0 -20$700 0 0 0 0
# 1350
6
0 0 0 0 0 0 0
# 0 0 0 0 0 0 0 0
H# -4500 0 0 0 0 0 -20$700 0
7 1350
7
0 0 0 0 0 0 0
7 0 0 0 0 0 0 0 0
H7 -4500 0 0 0 0 0 0 0
$ 1350
8
0 0 0 0 0 0 0
$ 0 0 0 0 0 0 0 0
H$ -4500 0 0 0 0 0 0 0
% 0
9
0 0 0 0 0 0 0
% 0 0 -##37,7 -17700 0 -##37,7 17700 0
H% 0 0 -17700 -47201 0 17700 -47201 0
10 0
10
0 0 0 -1204# 0 21414 -1204#
10 0 0 0 0 0 0 0 0
H10 0 0 0 0 21414 0 -3$070 -21414
11 0
11
0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0
H11 0 0 0 0 0 0 0 0
12 012
-1204# 0 21414 0 0 0 012 0 0 0 0 0 0 0 0
H12 0 21414 0 -3$070 0 0 0 0
8arran'mnt
5 6
5 0
5
371022 0 0 0 0 0 0
5 2700 0 556533 0 0 0 0 0
H5 -4500 0 0 208700 0 0 0 0
# 1350
6
0 0 0 371022 0 0 0
# 0 0 0 0 0 556533 0 0
H# -4500 0 0 0 0 0 208700 0
7 1350 0 0 0 0 0 0 371022
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7 0 7 0 0 0 0 0 0 0
H7 -4500 0 0 0 0 0 0 0
$ 1350
8
0 0 0 0 0 0 0
$ 0 0 0 0 0 0 0 0
H$ -4500 0 0 0 0 0 0 0
% 0
9
0 0 0 0 0 0 0
% 0 0 -55#533 0 0 -55#533 0 0H% 0 0 0 0 0 0 0 0
10 0
10
0 0 0 -371022 0 0 -371022
10 0 0 0 0 0 0 0 0
H10 0 0 0 0 0 0 0 0
11 0
11
0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0
H11 0 0 0 0 0 0 0 0
12 0
12
-371022 0 0 0 0 0 0
12 0 0 0 0 0 0 0 0
H12 0 0 0 0 0 0 0 0
11
0 0 0 0 0 0 01 0 0 0 0 0 0 0
H1 0 0 -20$700 0 0 0 0
2
2
0 0 0 0 0 0 0
2 0 0 0 0 0 0 0
H2 0 0 0 0 0 -20$700 0
3
3
0 0 0 0 0 0 0
3 0 0 0 0 0 0 0
H3 0 0 0 0 0 0 0
4
4
0 0 0 0 0 0 0
4 0 0 0 0 0 0 0
H4 0 0 0 0 0 0 0
5 6
95 #VALUE! 3.4E-005 1.2E-005 0 1.0E-005 1.2E-005 0 1.0E-005
:5 #VALUE! 1.2E-005 6.2E-005 0 -1E-005 6.0E-005 0 -1E-005
;5 #VALUE! 0 0 4.8E-006 0 0 0 0
9# #VALUE! 1.0E-005 -1E-005 0 3.4E-005 -1E-005 0 3.1E-005
:# #VALUE! 1.2E-005 6.0E-005 0 -1E-005 6.2E-005 0 -1E-005
;# #VALUE! 0 0 0 0 0 4.8E-006 0
97 #VALUE! 1.0E-005 -1E-005 0 3.1E-005 -1E-005 0 3.4E-005:7 #VALUE! -1E-005 1.5E-005 0 1.2E-005 1.5E-005 0 1.2E-005
;7 #VALUE! 0 0 0 0 0 0 0
9$ #VALUE! 3.1E-005 1.2E-005 0 1.0E-005 1.2E-005 0 1.0E-005
:$ #VALUE! -1E-005 1.5E-005 0 1.2E-005 1.5E-005 0 1.2E-005
;$ #VALUE! 0 0 0 0 0 0 0
9% #VALUE! 4.7E-005 1.1E-005 0 4.2E-005 1.1E-005 0 4.2E-005
:% #VALUE! 1.2E-005 6.0E-005 0 -1E-005 6.0E-005 0 -1E-005
;% #VALUE! 0 0 0 0 0 0 0
910 #VALUE! 1.0E-005 -1E-005 0 3.1E-005 -1E-005 0 3.1E-005
:10 #VALUE! -4E-005 2.2E-005 0 -3E-005 2.2E-005 0 -3E-005
;10 #VALUE! 0 0 0 0 0 0 0
911 #VALUE! -5E-006 -1E-005 0 -6E-007 -1E-005 0 -6E-007
:11 #VALUE! -1E-005 1.5E-005 0 1.2E-005 1.5E-005 0 1.2E-005
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;11 #VALUE! 0 0 0 0 0 0 0
912 #VALUE! 3.1E-005 1.2E-005 0 1.0E-005 1.2E-005 0 1.0E-005
:12 #VALUE! 3.9E-005 5.4E-005 0 3.2E-005 5.4E-005 0 3.2E-005
;12 #VALUE! 0 0 0 0 0 0 0
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0,%7#4
0,%##4
aya
Py .N/ Pz .N/
2700 -4500
-4500
-4500
-4500
Elemen 9 i = 4 j = 11
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AE/L
0 0.351123 0.936329 53838.93
4 4 4 11 11
4 53$3% 0 0 -53$3% 04 0 0 0 0 0
4 0 0 0 0 0
11 -53$3% 0 0 53$3% 0
11 0 0 0 0 0
11 0 0 0 0 0
4 4 4 11 11
4 0 0,3511 0,%3#3 0 0
4 0 0 0 0 0
20$700 4 0 0 0 0 011 0 0 0 0 0,3511
11 0 0 0 0 0
11 0 0 0 0 0
4 4 4 11 11
4 0 0 0 0 0
4 0 ##37,7 17700 0 -##37,7
4 0 17700 47201 0 -17700
11 0 0 0 0 0
11 0 -##37,7 -17700 0 ##37,7
11 0 -17700 -47201 0 17700
Elemen 10 i = 4 j = $
AE/L
0 0 1 208700
4 4 4 8 84 20$700 0 0 -20$700 0
4 0 0 0 0 0
4 0 0 0 0 0
8 -20$700 0 0 20$700 0
8 0 0 0 0 0
8 0 0 0 0 0
4 4 4 8 8
4 0 0 1 0 0
4 0 0 0 0 0
53$3% 4 0 0 0 0 0
8 0 0 0 0 0
x
x
x
Kl.%/
K'
.%/
K'
.%/
x
x
x
Kl.10/
K'
.10/
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8 0 0 0 0 0
8 0 0 0 0 0
4 4 4 8 8
4 0 0 0 0 0
4 0 0 0 0 0
4 0 0 20$700 0 0
8 0 0 0 0 0
8 0 0 0 0 0
8 0 0 -20$700 0 0
Elemen 11 i = 4 j = 12
AE/L
0.490261 0 0.871576 50115.59
4 4 4 12 12
4 5011# 0 0 -5011# 0
4 0 0 0 0 0
4 0 0 0 0 0
12 -5011# 0 0 5011# 0
12 0 0 0 0 0
12 0 0 0 0 0
4 4 4 12 12
4 0,4%03 0 0,$71# 0 0
4 0 0 0 0 0
53$3% 4 0 0 0 0 0
12 0 0 0 0,4%03 0
12 0 0 0 0 0
12 0 0 0 0 0
4 4 4 12 12
4 1204# 0 21414 -1204# 04 0 0 0 0 0
4 21414 0 3$070 -21414 0
12 -1204# 0 -21414 1204# 0
12 0 0 0 0 0
12 -21414 0 -3$070 21414 0
Elemen 12 i = 1 j = 12
AE/L
-0.490261 0 0.871576 50115.59
1 1 1 12 12
K'
.10/
x
x
x
Kl.11/
K'
.11/
K'
.11/
x
x
x
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1 5011# 0 0 -5011# 0
1 0 0 0 0 0
1 0 0 0 0 0
12 -5011# 0 0 5011# 0
12 0 0 0 0 0
12 0 0 0 0 0
1 1 1 12 12
1 -0,4%03 0 0,$71# 0 0
1 0 0 0 0 0
20$700 1 0 0 0 0 0
12 0 0 0 -0,4%03 0
12 0 0 0 0 0
12 0 0 0 0 0
1 1 1 12 121 1204# 0 -21414 -1204# 0
1 0 0 0 0 0
1 -21414 0 3$070 21414 0
12 -1204# 0 21414 1204# 0
12 0 0 0 0 0
12 21414 0 -3$070 -21414 0
Elemen 13 i = 5 j = %
AE/L
0 1 0 556533.3
5 5 5 9 9
5 55#533 0 0 -55#533 0
5 0 0 0 0 0
5 0 0 0 0 0
9 -55#533 0 0 55#533 0
9 0 0 0 0 0
9 0 0 0 0 0
5 5 5 9 9
5 0 1 0 0 0
5 0 0 0 0 0
5011# 5 0 0 0 0 0
9 0 0 0 0 1
9 0 0 0 0 0
9 0 0 0 0 0
5 5 5 9 9
5 0 0 0 0 0
Kl.12/
K'
.12/
K'
.12/
x
x
x
Kl.13/
K'
.13/
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5 0 55#533 0 0 -55#533
5 0 0 0 0 0
9 0 0 0 0 0
9 0 -55#533 0 0 55#533
9 0 0 0 0 0
Elemen 14 i = # j = %
AE/L
0 -1 0 556533.3
6 6 6 9 9
6 55#533 0 0 -55#533 0
6 0 0 0 0 0
6 0 0 0 0 0
9 -55#533 0 0 55#533 09 0 0 0 0 0
9 0 0 0 0 0
6 6 6 9 9
6 0 -1 0 0 0
6 0 0 0 0 0
5011# 6 0 0 0 0 0
9 0 0 0 0 -1
9 0 0 0 0 0
9 0 0 0 0 0
6 6 6 9 9
6 0 0 0 0 0
6 0 55#533 0 0 -55#533
6 0 0 0 0 0
9 0 0 0 0 0
9 0 -55#533 0 0 55#533
9 0 0 0 0 0
Elemen 15 i = # j = 10
AE/L
-1 0 0 371022.2
6 6 6 10 10
6 371022 0 0 -371022 0
6 0 0 0 0 0
6 0 0 0 0 0
10 -371022 0 0 371022 0
10 0 0 0 0 0
K'
.13/
x
x
x
Kl.14/
K'
.14/
K'
.14/
x
x
x
Kl.15/
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10 0 0 0 0 0
6 6 6 10 10
6 -1 0 0 0 0
6 0 0 0 0 0
20$700 6 0 0 0 0 010 0 0 0 -1 0
10 0 0 0 0 0
10 0 0 0 0 0
6 6 6 10 10
6 371022 0 0 -371022 0
6 0 0 0 0 0
6 0 0 0 0 0
10 -371022 0 0 371022 0
10 0 0 0 0 010 0 0 0 0 0
Elemen 16 i = 7 j = 10
AE/L
1 0 0 371022.2
7 7 7 10 10
7 371022 0 0 -371022 0
7 0 0 0 0 0
7 0 0 0 0 0
10 -371022 0 0 371022 0
10 0 0 0 0 0
10 0 0 0 0 0
7 7 7 10 10
7 1 0 0 0 0
7 0 0 0 0 0
53$3% 7 0 0 0 0 0
10 0 0 0 1 0
10 0 0 0 0 0
10 0 0 0 0 0
7 7 7 10 10
7 371022 0 0 -371022 0
7 0 0 0 0 0
7 0 0 0 0 0
10 -371022 0 0 371022 0
10 0 0 0 0 0
10 0 0 0 0 0
K'.15/
K'
.15/
x
x
x
Kl.1#/
K'
.1#/
K'.1#/
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3 4 5 6
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 -20$700 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 21414 0 0 0 0 0 0 0 0
##37,7 -17700 0 0 0 0 0 0 0 0
-17700 2%3%71 0 0 0 0 0 0 0 0
0 0 1204# 0 21414 0 0 0 0 0
0 0 0 ##37,7 17700 0 0 0 0 0
0 0 21414 17700 2%3%71 0 0 0 0 0
0 0 0 0 0 371022 0 0 0 00 0 0 0 0 0 55#533 0 0 0
0 0 0 0 0 0 0 20$700 0 0
0 0 0 0 0 0 0 0 371022 0
0 0 0 0 0 0 0 0 0 55#533
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 -20$700 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 -20$700 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 -55#533 0 0 -55#533
0 0 0 0 0 0 0 0 0 0
0 -21414 0 0 0 0 0 0 -371022 0
0 0 0 0 0 0 0 0 0 0
0 -3$070 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
-##37,7 17700 0 -##37,7 -17700 0 0 0 0 0
17700 -47201 0 -17700 -47201 0 0 0 0 0
0 0 -1204# 0 -21414 -371022 0 0 0 00 0 0 0 0 0 0 0 0 0
0 0 -21414 0 -3$070 0 0 0 0 0
7 8 9 10
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 -55#533 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 -371022 0
0 0 0 0 0 0 -55#533 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 -371022 0
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556533 0 0 0 0 0 0 0 0 0
0 208700 0 0 0 0 0 0 0 0
0 0 371022 0 0 0 0 0 0 0
0 0 0 556533 0 0 0 0 0 0
0 0 0 0 208700 0 0 0 0 0
0 0 0 0 0 117767 0 0 -5$$$4 3%25#
0 0 0 0 0 0 ### 0 3%25# -2#1700 0 0 0 0 0 0 94403 0 0
0 0 0 0 0 -5$$$4 3%25# 0 883903 0
0 0 0 0 0 3%25# -2#170 0 0 52341
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 -5$$$4 -3%25#
-55#533 0 0 -55#533 0 0 0 0 -3%25# -2#170
0 0 0 0 0 0 0 0 0 0
0 0 -371022 0 0 -5$$$4 -3%25# 0 0 0
0 0 0 0 0 -3%25# -2#170 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 -##37,7 -17700 0 0
0 0 0 0 0 0 -17700 -47201 0 0
0 0 0 0 0 0 0 0 -1204# 0
0 0 0 0 0 0 -##37,7 17700 0 0
0 0 0 0 0 0 17700 -47201 21414 0
0 0 0 0 0 0 0 0 -1204# 0
0 0 0 0 0 0 0 0 0 0
0 -20$700 0 0 0 0 0 0 -21414 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 -20$700 0 0 0 0 0
7 8 9 10
-1E-005 0 3.1E-005 -1E-005 0 -2E-005 1.2E-005 0 1.0E-005 6.2E-005
1.5E-005 0 1.2E-005 1.5E-005 0 -4E-005 6.0E-005 0 -1E-005 0.00013
0 0 0 0 0 0 0 0 0 0
1.2E-005 0 1.0E-005 1.2E-005 0 -5E-006 -1E-005 0 3.1E-005 9.8E-006
1.5E-005 0 1.2E-005 1.5E-005 0 -4E-005 6.0E-005 0 -1E-005 0.00013
0 0 0 0 0 0 0 0 0 0
1.2E-005 0 1.0E-005 1.2E-005 0 -5E-006 -1E-005 0 3.1E-005 9.8E-006
6.2E-005 0 -1E-005 6.0E-005 0 -8E-006 1.5E-005 0 1.2E-005 5.0E-005
0 4.8E-006 0 0 0 0 0 0 0 0
-1E-005 0 3.4E-005 -1E-005 0 -2E-005 1.2E-005 0 1.0E-005 6.2E-005
6.0E-005 0 -1E-005 6.2E-005 0 -8E-006 1.5E-005 0 1.2E-005 5.0E-005
0 0 0 0 4.8E-006 0 0 0 0 0
1.5E-005 0 4.7E-005 1.5E-005 0 6.1E+010 1.1E-005 0 4.2E-005 -9E+010
1.5E-005 0 1.2E-005 1.5E-005 0 -4E-005 6.0E-005 0 -1E-005 0.00013
0 0 0 0 0 0 0 1.1E-005 0 0
1.2E-005 0 1.0E-005 1.2E-005 0 -5E-006 -1E-005 0 3.1E-005 9.8E-006
1.5E-005 0 -4E-005 1.5E-005 0 -9E+010 2.2E-005 0 -3E-005 1.4E+011
0 0 0 0 0 0 0 0 0 0
-2E-005 0 -5E-006 -2E-005 0 -6E+010 -1E-005 0 -6E-007 9.2E+010
6.0E-005 0 -1E-005 6.0E-005 0 -8E-006 1.5E-005 0 1.2E-005 5.0E-005
-
7/24/2019 Perhitungan Truss dengan Metode Matriks
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0 0 0 0 0 0 0 0 0 0
-1E-005 0 3.1E-005 -1E-005 0 -2E-005 1.2E-005 0 1.0E-005 6.2E-005
6.1E-005 0 3.9E-005 6.1E-005 0 9.2E+010 5.4E-005 0 3.2E-005 -1E+011
0 0 0 0 0 0 0 0 0 0
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7/24/2019 Perhitungan Truss dengan Metode Matriks
19/45
Elemen 1 7 i = 7 j = 11
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7/24/2019 Perhitungan Truss dengan Metode Matriks
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AE/L
0 -1 0 556533.3
11 7 7 7
0 7 55#533 0 00 7 0 0 0
0
7 0 0 0
0 11 -55#533 0 0
0 11 0 0 0
0 11 0 0 0
11 7 7 7
0 7 0 -1 0
0 7 0 0 0
0 x 53$3% 7 0 0 00,%3#3 11 0 0 0
0 11 0 0 0
0 11 0 0 0
11 7 7 7
0 7 0 0 0
-17700 7 0 55#533 0
-47201
7 0 0 0
0 11 0 0 0
17700 11 0 -55#533 0
47201 11 0 0 0
Elemen 18 i = $ j = 11
AE/L
0 1 0 556533.3
8 8 8 80 8 55#533 0 0
0 8 0 0 0
0
8 0 0 0
0 11 -55#533 0 0
0 11 0 0 0
0 11 0 0 0
8 8 8 8
0 8 0 1 0
0 8 0 0 0
0x 20$700
8 0 0 0
1 11 0 0 0
x
x
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Kl.17/
K'
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7/24/2019 Perhitungan Truss dengan Metode Matriks
21/45
0 11 0 0 0
0 11 0 0 0
8 8 8 8
0 8 0 0 0
0 8 0 55#533 0-20$700
8 0 0 0
0 11 0 0 0
0 11 0 -55#533 0
20$700 11 0 0 0
Elemen 19 i = $ j = 12
AE/L
1 0 0 371022.2
12 8 8 8
0 8 371022 0 0
0 8 0 0 0
0
8 0 0 0
0 12 -371022 0 0
0 12 0 0 0
0 12 0 0 0
12 8 8 8
0 8 1 0 0
0 8 0 0 0
0x 5011#
8 0 0 0
0,$71# 12 0 0 0
0 12 0 0 0
0 12 0 0 0
12 8 8 8
-21414 8 371022 0 00 8 0 0 0
-3$070
8 0 0 0
21414 12 -371022 0 0
0 12 0 0 0
3$070 12 0 0 0
Elemen 20 i = 5 j = 12
AE/L
-1 0 0 371022.2
12 5 5 5
K'
.1$/
x
x
x
Kl.1%/
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-
7/24/2019 Perhitungan Truss dengan Metode Matriks
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0 5 371022 0 0
0 5 0 0 0
0
5 0 0 0
0 12 -371022 0 0
0 12 0 0 0
0 12 0 0 0
12 5 5 5
0 5 -1 0 0
0 5 0 0 0
0x 5011#
5 0 0 0
0,$71# 12 0 0 0
0 12 0 0 0
0 12 0 0 0
12 5 5 521414 5 371022 0 0
0 5 0 0 0
-3$070
5 0 0 0
-21414 12 -371022 0 0
0 12 0 0 0
3$070 12 0 0 0
Elemen 21 i = % j = 12
AE/L
-0.83205 -0.5547 0 85054.03
9 9 9 9
0 9 $5054 0 0
0 9 0 0 0
0
9 0 0 0
0 12 -$5054 0 0
0 12 0 0 0
0 12 0 0 0
9 9 9 9
0 9 -0,$321 -0,5547 0
0 9 0 0 0
0x 55#533
9 0 0 0
0 12 0 0 0
0 12 0 0 0
0 12 0 0 0
9 9 9 9
0 9 5$$$4 3%25# 0
Kl.20/
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-
7/24/2019 Perhitungan Truss dengan Metode Matriks
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0 9 3%25# 2#170 0
0
9 0 0 0
0 12 -5$$$4 -3%25# 0
0 12 -3%25# -2#170 0
0 12 0 0 0
Elemen 22 i = % j = 10
AE/L
-0.83205 0.5547 0 85054.03
9 9 9 9
0 9 $5054 0 0
0 9 0 0 0
0
9 0 0 0
0 10 -$5054 0 00 10 0 0 0
0 10 0 0 0
9 9 9 9
0 9 -0,$321 0,5547 0
0 9 0 0 0
0x 55#533
9 0 0 0
0 10 0 0 0
0 10 0 0 0
0 10 0 0 0
9 9 9 9
0 9 5$$$4 -3%25# 0
0 9 -3%25# 2#170 0
0
9 0 0 0
0 10 -5$$$4 3%25# 0
0 10 3%25# -2#170 0
0 10 0 0 0
Elemen 23 i = 10 j = 11
AE/L
-0.83205 -0.5547 0 85054.03
10 10 10 10
0 10 $5054 0 0
0 10 0 0 0
0
10 0 0 0
0 11 -$5054 0 0
0 11 0 0 0
K'
.21/
x
x
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Kl.22/
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Kl.23/
-
7/24/2019 Perhitungan Truss dengan Metode Matriks
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0 11 0 0 0
10 10 10 10
0 10 -0,$321 -0,5547 0
0 10 0 0 0
0 x 371022 10 0 0 00 11 0 0 0
0 11 0 0 0
0 11 0 0 0
10 10 10 10
0 10 5$$$4 3%25# 0
0 10 3%25# 2#170 0
0
10 0 0 0
0 11 -5$$$4 -3%25# 0
0 11 -3%25# -2#170 00 11 0 0 0
Elemen 24 i = 11 j = 12
AE/L
0.83205 -0.5547 0 85054.03
10 11 11 11
0 11 $5054 0 0
0 11 0 0 0
0
11 0 0 0
0 12 -$5054 0 0
0 12 0 0 0
0 12 0 0 0
10 11 11 11
0 11 0,$321 -0,5547 0
0 11 0 0 00
x 371022 11 0 0 0
0 12 0 0 0
0 12 0 0 0
0 12 0 0 0
10 11 11 11
0 11 5$$$4 -3%25# 0
0 11 -3%25# 2#170 0
0
11 0 0 0
0 12 -5$$$4 3%25# 0
0 12 3%25# -2#170 0
0 12 0 0 0
K'.23/
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Kl.24/
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-
7/24/2019 Perhitungan Truss dengan Metode Matriks
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7 8 9
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 -##37,7 -177000 0 0 0 0 0 0 0 -17700 -47201
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 -##37,7 17700
-20$700 0 0 0 0 0 0 0 17700 -47201
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 -20$700 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 -20$700 0 0 0
0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 -55#533 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 -55#533 0
20$700 0 0 0 0 0 0 0 0 0
0 371022 0 0 0 0 0 0 0 0
0 0 55#533 0 0 0 0 0 0 0
0 0 0 20$700 0 0 0 0 0 0
0 0 0 0 371022 0 0 0 0 0
0 0 0 0 0 55#533 0 0 0 0
0 0 0 0 0 0 20$700 0 0 0
0 0 0 0 0 0 0 1177#7 0 0
0 0 0 0 0 0 0 0 1E
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7/24/2019 Perhitungan Truss dengan Metode Matriks
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0 0 -55#533 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 -371022 0 0 0 0 0
0 0 -55#533 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 -5$$$4 -3%25# 0 0 0 0
0 0 0 0 -3%25# -2#170 0 0 -##37,7 -177000 0 0 0 0 0 0 0 -17700 -47201
0 -5$$$4 -3%25# 0 0 0 0 0 0 0
0 -3%25# -2#170 0 0 0 0 0 0 0
76140 0 0 0 0 0 0 0 0 0
0 117767 0 0 -5$$$4 3%25# 0 0 0 0
0 0 ### 0 3%25# -2#170 0 0 0 0
0 0 0 94403 0 0 0 0 0 0
0 -5$$$4 3%25# 0 883903 0 0 -1204# 0 21414
0 3%25# -2#170 0 0 52341 0 0 0 0
0 0 0 0 0 0 76140 21414 0 -3$070
0 0 0 0 -1204# 0 21414 12046 0 -214140 0 0 0 0 0 0 0 6637,7 17700
0 0 0 0 21414 0 -3$070 -21414 17700 293971
21414 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
-3$070 0 0 0 0 0 0 0 0 0
-21414 0 0 0 0 0 0 0 0 0
0 0 -##37,7 17700 0 0 0 0 0 0
-3$070 0 17700 -47201 0 0 0 0 0 0
0 0 0 0 -1204# 0 -21414 0 0 0
0 0 -##37,7 -17700 0 0 0 0 0 0
0 0 -17700 -47201 -21414 0 -3$070 0 0 0
11 12
0 6.2E-005 -1E-005 0 3.1E-005 -6E-005 0
0 6.1E-005 1.5E-005 0 1.2E-005 -8E-006 0
0 0 0 0 0 0 0
0 2.9E-005 1.2E-005 0 1.0E-005 -4E-005 0
0 6.1E-005 1.5E-005 0 1.2E-005 -8E-006 0
0 0 0 0 0 0 0
0 2.9E-005 1.2E-005 0 1.0E-005 -4E-005 0
0 8.5E-006 6.0E-005 0 -1E-005 2.5E-005 0
0 0 0 0 0 0 0
0 6.2E-005 -1E-005 0 3.1E-005 -6E-005 0
0 8.5E-006 6.0E-005 0 -1E-005 2.5E-005 0
0 0 0 0 0 0 0
0 -6E+010 1.5E-005 0 4.7E-005 9.2E+010 0
0 6.1E-005 1.5E-005 0 1.2E-005 -8E-006 0
0 0 0 0 0 0 0
0 2.9E-005 1.2E-005 0 1.0E-005 -4E-005 0
0 9.2E+010 1.5E-005 0 -4E-005 -1E+011 0
1.3E-005 0 0 0 0 0 0
0 6.1E+010 -2E-005 0 -5E-006 -9E+010 0
0 8.5E-006 6.0E-005 0 -1E-005 2.5E-005 0
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7/24/2019 Perhitungan Truss dengan Metode Matriks
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0 0 0 1.1E-005 0 0 0
0 6.2E-005 -1E-005 0 3.1E-005 -6E-005 0
0 -9E+010 6.1E-005 0 3.9E-005 1.4E+011 0
0 0 0 0 0 0 1.3E-005
-
7/24/2019 Perhitungan Truss dengan Metode Matriks
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11 11 11
-55#533 0 00 0 0
0 0 0
55#533 0 0
0 0 0
0 0 0
11 11 11
0 0 0
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0 0 0 x 55#5330 -1 0
0 0 0
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11 11 11
0 0 0
0 -55#533 0
0 0 0
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0 55#533 0
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11 11 11-55#533 0 0
0 0 0
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55#533 0 0
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0 0 0
11 11 11
0 0 0
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0 0 0x 55#533
0 1 0
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7/24/2019 Perhitungan Truss dengan Metode Matriks
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0 0 0
0 0 0
11 11 11
0 0 0
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12 12 12
-371022 0 0
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-371022 0 00 0 0
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-371022 0 0
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-$5054 0 0
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0 0 0
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-0,$321 -0,5547 0
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-3%25# -2#170 0
0 0 0
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-$5054 0 0
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0 0 0
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0 0 0
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x $50540,$321 -0,5547 0
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10 11 12
0 0 0 0 0 0 -1204# 0 21414
0 0 0 0 0 0 0 0 00 0 0 0 0 0 21414 0 -3$070
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0 0 0 0 0 0 -371022 0 00 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
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0 0 0 0 -55#533 0 0 0 0
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0 0 0 0 0 0 0 0 0
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0 -##37,7 17700 0 0 0 0 0 00 17700 -47201 0 0 0 0 0 0
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0 0 0 0 0 0 0 0 0
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0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0
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7/24/2019 Perhitungan Truss dengan Metode Matriks
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-
7/24/2019 Perhitungan Truss dengan Metode Matriks
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91 0
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7/24/2019 Perhitungan Truss dengan Metode Matriks
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