KUIS 1 ANALISIS STRUKTUR II : RA L1 = 6 m L2 = 4.472135955 m L3 = 8.94427191 m L4 = 5.6568542495 m L5 = 4 m L6 = 4 m L7 = 8 m EA = 5.25 P1 = 15.34 t kanan (+) P2 = 12.34 t bawah (-) E = 2100 t/m2 A = 0.0025 m2 Elemen 1 1 = E A 0 L1 -1 0 1 = 5.25 0 6 -1 0 0.875 = 0 -0.875 0 0 = 0 0 0 0 0 6.12574E-017 -1 0 = 1 6.13E-017 0 0 0 6.13E-017 0 0 1 k 1 Cos Sin T 1 -Sin Cos Cos -Sin T 1(t)
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KUIS 1 ANALISIS STRUKTUR II : RANGKA BATANGL1 = 6 m L2 = 4.472135955 m L3 = 8.94427191 m L4 = 5.6568542495 m L5 = 4 m L6 = 4 m L7 = 8 m EA = 5.25P1 = 15.34 t kanan (+)P2 = 12.34 t bawah (-)E = 2100 t/m2A = 0.0025 m2
Elemen 1
1
= E A 0
L1 -10
1= 5.25 0
6 -10
0.875= 0
-0.8750
0
= 0
0 00 0
6.12574E-017 -1 0
= 1 6.13E-017 0
0 0 6.13E-0170 0 1
k1
Cos Sin T1 -Sin Cos
Cos -Sin
T1(t)
= = 6.13E-017
100
= 5.36E-0170.875
-5.4E-017-0.875
1= 2
34
Elemen 2
= EA k =
L2
0
= 0
0 00 0
0.8944275905 0.4472128 0
= -0.447212797 0.8944276 0
0 0 0.89442760 0 -0.447213
= = 0.8944276
-0.44721300
= 1.0500005-0.524999
kg1 [T1(t)][k1][T1]
k2
Cos Sin T2 -Sin Cos
Cos -Sin
T2(t)
kg2 [T2(t)][k2][T2]
-1.050.5249991
3= 4
56
Elemen 3
= EA k =
L3
0
= 0
0 00 0
0.8944275905 0.4472128 0
= -0.447212797 0.8944276 0
0 0 0.89442760 0 -0.447213
= = 0.8944276
-0.44721300
= 0.5250002-0.2625-0.525
0.2624995
5= 6
910
k3
Cos Sin T3 -Sin Cos
Cos -Sin
T3(t)
kg3 [T3(t)][k3][T3]
Elemen 4
= EA k =
L4
0
= 0
0 00 0
0.7071067812 -0.707107 0
= 0.7071067812 0.7071068 0
0 0 0.70710680 0 0.7071068
= = 0.7071068
0.707106800
= 0.656250.65625-0.65625-0.65625
1= 2
56
Elemen 5
= EA k =
k4
Cos Sin T4 -Sin Cos
Cos -Sin
T4(t)
kg4 [T4(t)][k4][T4]
k5
L5
0
= 0
0 00 0
-1.83772E-016 1 0
= -1 -1.8E-016 0
0 0 -1.8E-0160 0 -1
= = -1.8E-016
-100
= -2.4E-016-1.3125
2.41E-0161.3125
5= 6
78
Elemen 6
= EA k =
L6
0
= 0
0 0
Cos Sin T5 -Sin Cos
Cos -Sin
T5(t)
kg5 [T5(t)][k5][T5]
k6
Cos Sin T6 -Sin Cos
Cos
0 0
1 0 0
= 0 1 0
0 0 10 0 0
= = 1
000
= 1.31250
-1.31250
1= 2
78
Elemen 7
= EA k =
L7
0
= 0
0 00 0
1 0 0
= 0 1 0
0 0 10 0 0
-Sin
T6(t)
kg6 [T6(t)][k6][T6]
k7
Cos Sin T7 -Sin Cos
Cos -Sin
T7(t)
= = 1
000
= 0.656250
-0.656250
7= 8
910
kg11 2 3 4
1 3.283413E-033 5.36002E-017 -3.3E-033 -5.4E-0172 5.360024E-017 0.875 -5.4E-017 -0.8753 -3.28341E-033 -5.36002E-017 3.28E-033 5.36E-0174 -5.36002E-017 -0.875 5.36E-017 0.875
kg41 2 5 6
1 0.4640388252 0.4640388252 -0.464039 -0.4640392 0.4640388252 0.4640388252 -0.464039 -0.4640395 -0.4640388252 -0.464038825 0.4640388 0.46403886 -0.4640388252 -0.464038825 0.4640388 0.4640388
kg77 8 9 10
7 0.65625 0 -0.65625 08 0 0 0 09 -0.65625 0 0.65625 0
10 0 0 0 0
1 2 31 1.7765388252 0.4640388 -3.3E-0332 0.4640388252 1.3390388 -5.4E-017
kg7 [T7(t)][k7][T7]
3 -3.28341E-033 -5.4E-017 0.93914944 -5.36002E-017 -0.875 -0.4695745 -0.464038825 -0.464039 -0.9391496 -0.464038825 -0.464039 0.46957367 -1.3125 0 0
kgs = 8 0 0 09 0 0 0
10 0 0 0
F = K x D
1 2 3F1 1 1.7765388252 0.4640388 -3.3E-033G1 2 0.4640388252 1.3390388 -5.4E-017F2 3 -3.28341E-033 -5.4E-017 0.9391494G2 4 -5.36002E-017 -0.875 -0.469574F3 = 5 -0.464038825 -0.464039 -0.939149G3 6 -0.464038825 -0.464039 0.4695736F4 7 -1.3125 0 0G4 8 0 0 0F5 9 0 0 0G5 10 0 0 0
1 2 3F1 1 1.7765388252 0.4640388 -3.3E-033G1 2 0.4640388252 1.3390388 -5.4E-017
15.34 3 -3.28341E-033 -5.4E-017 0.93914940 4 -5.36002E-017 -0.875 -0.4695740 = 5 -0.464038825 -0.464039 -0.9391490 6 -0.464038825 -0.464039 0.46957360 7 -1.3125 0 0
-12.34 8 0 0 00 9 0 0 0
G5 10 0 0 0
3 4 515.34 3 0.9391493894 -0.469574 -0.939149
0 4 -0.469573646 1.1097863 0.46957360 5 -0.939149389 0.4695736 1.87276290 6 0.4695736461 -0.234786 -0.2403220 7 0 0 -4.4E-032
-12.34 = 8 0 0 -2.4E-0160 9 0 0 -0.469575
F1 1 -3.28341E-033 -5.4E-017 -0.464039G1 2 -5.36002E-017 -0.875 -0.464039G5 10 0 0 0.2347868
PERPINDAHAN3 4 5
15.34 3 0.9391493894 -0.469574 -0.9391490 4 -0.469573646 1.1097863 0.46957360 5 -0.939149389 0.4695736 1.87276290 = 6 0.4695736461 -0.234786 -0.2403220 7 0 0 -4.4E-032
-12.34 8 0 0 -2.4E-0160 9 0 0 -0.469575
u2 5.7658072672 0.5714272954 2.9435361 -2.943536v2 0.5714272954 1.1428571429 -4.7E-017 9.26E-017u3 2.9435361467 -1.86742E-016 2.2018017 -1.483472v3 = -2.9435361467 1.86742E-016 -1.483472 2.9201346u4 0.7619047619 -4.83363E-017 0.5079369 -0.507937v4 -2.9435361467 1.86742E-016 -1.483472 2.9201346u5 2.2857142857 -1.45009E-016 1.5238107 -1.523811
u2 124.77071953 m kekananv2 8.7656947117 m keatasu3 63.459890402 m kekananv3 = -81.188305233 m kebawahu4 17.955560221 m kekananv4 -90.590209995 m kebawahu5 53.866680663 m kekanan
GAYA
F1 -3.28341E-033 -5.36002E-017 -0.464039 -0.464039G1 = -5.36002E-017 -0.875 -0.464039 -0.464039G5 0 0 0.2347868 -0.117393
F1 -15.34 t (kekiri) =
G1 = 0.5566899174 t (keatas)=
G5 11.783310083 t (keatas)
GAYA BATANG 1
f1 6.12574E-017 1 0g1 = -1 6.13E-017 0f2 0 0 6.13E-017g2 0 0 -1
f1 5.360024E-017 0.875 -5.4E-017 -0.875g1 = 0 0 0 0f2 -5.36002E-017 -0.875 5.36E-017 0.875g2 0 0 0 0
f1 -7.6699828727 tg1 = 0 t
TARIKf2 7.6699828727 tg2 0 t
GAYA BATANG 2
f2 0.8944275905 -0.447213 0g2 = 0.4472127966 0.8944276 0f3 0 0 0.8944276g3 0 0 0.4472128
f2 1.0500004689 -0.524999062 -1.05 0.5249991g2 = -1.11022E-016 2.77556E-017 5.55E-017 -2.8E-017f3 -1.0500004689 0.5249990621 1.0500005 -0.524999g3 5.551115E-017 -2.77556E-017 -5.6E-017 2.78E-017
f2 17.150633728 tg2 = -7.83288E-015 t
TEKANf3 -17.150633728 tg3 9.067097E-016 t
GAYA BATANG 3
f3 0.8944275905 -0.447213 0
UkTf
FTf
ge
e
..
g3 = 0.4472127966 0.8944276 0f5 0 0 0.8944276g5 0 0 0.4472128
f3 0.5250002345 -0.262499531 -0.525 0.2624995g3 = 0 1.38778E-017 2.78E-017 -1.4E-017f5 -0.5250002345 0.2624995311 0.5250002 -0.2625g5 2.775558E-017 -1.38778E-017 -2.8E-017 1.39E-017
f3 26.348329414 tg3 = 3.683867E-016 t
TEKANf5 -26.348329414 tg5 1.392979E-015 t
GAYA BATANG 4
f1 0.7071067812 0.7071068 0g1 = -0.707106781 0.7071068 0f3 0 0 0.7071068g3 0 0 -0.707107
f1 0.65625 0.65625 -0.65625 -0.65625g1 = 1.665335E-016 5.55112E-017 0 0f3 -0.65625 -0.65625 0.65625 0.65625g3 0 0 0 0
f1 11.634272233 tg1 = 0 t
TEKANf3 -11.634272233 tg3 0 t
GAYA BATANG 5
f3 -1.83772E-016 -1 0g3 = 1 -1.8E-016 0f4 0 0 -1.8E-016g4 0 0 1
f3 -2.41201E-016 -1.3125 2.41E-016 1.3125g3 = 5.473822E-048 0 0 0f4 2.412011E-016 1.3125 -2.4E-016 -1.3125g4 0 0 0 0
f3 -12.34 tg3 = 3.473682E-046 t
TARIKf4 12.34 tg4 0 t
GAYA BATANG 6
f1 1 0 0g1 = 0 1 0f4 0 0 1g4 0 0 0
f1 1.3125 0 -1.3125 0g1 = 0 0 0 0f4 -1.3125 0 1.3125 0g4 0 0 0 0
f1 -23.56667279 tg1 = 0 t
TARIKf4 23.56667279 tg4 0 t
GAYA BATANG 7
f4 1 0 0g4 = 0 1 0f5 0 0 1g5 0 0 0
f4 0.65625 0 -0.65625 0g4 = 0 0 0 0f5 -0.65625 0 0.65625 0g5 0 0 0 0
f4 -23.56667279 tg4 = 0 t
TARIKf5 23.56667279 tg5 0 t
KUIS 1 ANALISIS STRUKTUR II : RANGKA BATANG= 90= 333.435= 333.435 k = 1 0= 45 0 0= 270 -1 0= 0 0 0= 0
0 -1 0
0 0 0
0 1 00 0 0
0 -1 00 0 00 1 00 0 0
0 -0.875 00 0 00 0.875 00 0 0
0 6.13E-017 1 0
0 = -1 6.13E-017 0
0 0 6.13E-0170 0 -1
0
0
-16.13E-017
Sin Cos
-1 0 0 0.875 0 -0.875
6.13E-017 0 0 x 0 0 00 6.13E-017 -1 -0.875 0 0.8750 1 6.13E-017 0 0 0
0 -5.4E-017 0 x 6.13E-017 1 00 -0.875 0 -1 6.13E-017 00 5.36E-017 0 0 0 6.13E-0170 0.875 0 0 0 -1
1 2 3 43.28E-033 5.36E-017 -3.3E-033 -5.4E-0175.36E-017 0.875 -5.4E-017 -0.875-3.3E-033 -5.4E-017 3.28E-033 5.36E-017-5.4E-017 -0.875 5.36E-017 0.875
1.1739357 0 -1.173936 0
0 0 0 0-1.173936 0 1.1739357 0
0 0 0 0
0 0.8944276 -0.447213 0
0 = 0.4472128 0.8944276 0
0 0 0.89442760 0 0.4472128
0
0
0.44721280.8944276
0.4472128 0 0 1.1739357 0 -1.173936
0.8944276 0 0 x 0 0 00 0.8944276 0.4472128 -1.173936 0 1.17393570 -0.447213 0.8944276 0 0 0
0 -1.05 0 x 0.8944276 -0.447213 00 0.5249991 0 0.4472128 0.8944276 0
Sin Cos
0 1.0500005 0 0 0 0.89442760 -0.524999 0 0 0 0.4472128
3 4 5 60.9391494 -0.469574 -0.939149 0.4695736-0.469574 0.2347863 0.4695736 -0.234786-0.939149 0.4695736 0.9391494 -0.4695740.4695736 -0.234786 -0.469574 0.2347863
0.5869678 0 -0.586968 0
0 0 0 0-0.586968 0 0.5869678 0
0 0 0 0
0 0.8944276 -0.447213 0
0 = 0.4472128 0.8944276 0
0 0 0.89442760 0 0.4472128
0
0
0.44721280.8944276
0.4472128 0 0 0.5869678 0 -0.586968
0.8944276 0 0 x 0 0 00 0.8944276 0.4472128 -0.586968 0 0.58696780 -0.447213 0.8944276 0 0 0
0 -0.525 0 x 0.8944276 -0.447213 00 0.2624995 0 0.4472128 0.8944276 00 0.5250002 0 0 0 0.89442760 -0.2625 0 0 0 0.4472128
5 6 9 100.4695747 -0.234787 -0.469575 0.2347868-0.234787 0.1173931 0.2347868 -0.117393-0.469575 0.2347868 0.4695747 -0.2347870.2347868 -0.117393 -0.234787 0.1173931
Sin Cos
0.9280777 0 -0.928078 0
0 0 0 0-0.928078 0 0.9280777 0
0 0 0 0
0 0.7071068 0.7071068 0
0 = -0.707107 0.7071068 0
0 0 0.70710680 0 -0.707107
0
0
-0.7071070.7071068
-0.707107 0 0 0.9280777 0 -0.928078
0.7071068 0 0 x 0 0 00 0.7071068 -0.707107 -0.928078 0 0.92807770 0.7071068 0.7071068 0 0 0
0 -0.65625 0 x 0.7071068 0.7071068 00 -0.65625 0 -0.707107 0.7071068 00 0.65625 0 0 0 0.70710680 0.65625 0 0 0 -0.707107
1 2 5 60.4640388 0.4640388 -0.464039 -0.4640390.4640388 0.4640388 -0.464039 -0.464039-0.464039 -0.464039 0.4640388 0.4640388-0.464039 -0.464039 0.4640388 0.4640388
1.3125 0 -1.3125 0
Sin Cos
0 0 0 0-1.3125 0 1.3125 0
0 0 0 0
0 -1.8E-016 -1 0
0 = 1 -1.8E-016 0
0 0 -1.8E-0160 0 1
0
0
1-1.8E-016
1 0 0 1.3125 0 -1.3125
-1.8E-016 0 0 x 0 0 00 -1.8E-016 1 -1.3125 0 1.31250 -1 -1.8E-016 0 0 0
0 2.41E-016 0 x -1.8E-016 -1 00 1.3125 0 1 -1.8E-016 00 -2.4E-016 0 0 0 -1.8E-0160 -1.3125 0 0 0 1
5 6 7 84.43E-032 2.41E-016 -4.4E-032 -2.4E-0162.41E-016 1.3125 -2.4E-016 -1.3125 x R-4.4E-032 -2.4E-016 4.43E-032 2.41E-016-2.4E-016 -1.3125 2.41E-016 1.3125
1.3125 0 -1.3125 0
0 0 0 0-1.3125 0 1.3125 0
0 0 0 0
0 1 0 0
0 = 0 1 0
0 0 1
Sin Cos
Sin
0 0 0
0
0
01
0 0 0 1.3125 0 -1.3125
1 0 0 x 0 0 00 1 0 -1.3125 0 1.31250 0 1 0 0 0
0 -1.3125 0 x 1 0 00 0 0 0 1 00 1.3125 0 0 0 10 0 0 0 0 0
1 2 7 81.3125 0 -1.3125 0
0 0 0 0 x R-1.3125 0 1.3125 0
0 0 0 0
0.65625 0 -0.65625 0
0 0 0 0-0.65625 0 0.65625 0
0 0 0 0
0 1 0 0
0 = 0 1 0
0 0 10 0 0
0
0
01
Cos
Sin Cos
0 0 0 0.65625 0 -0.65625
1 0 0 x 0 0 00 1 0 -0.65625 0 0.656250 0 1 0 0 0
0 -0.65625 0 x 1 0 00 0 0 0 1 00 0.65625 0 0 0 10 0 0 0 0 0
7 8 9 100.65625 0 -0.65625 0
0 0 0 0 x R-0.65625 0 0.65625 0
0 0 0 0
kg23 4 5 6
3 0.9391494 -0.469574 -0.939149 0.46957364 -0.469574 0.2347863 0.4695736 -0.2347865 -0.939149 0.4695736 0.9391494 -0.4695746 0.4695736 -0.234786 -0.469574 0.2347863
kg55 6 7 8
5 4.43E-032 2.41E-016 -4.4E-032 -2.4E-0166 2.41E-016 1.3125 -2.4E-016 -1.31257 -4.4E-032 -2.4E-016 4.43E-032 2.41E-0168 -2.4E-016 -1.3125 2.41E-016 1.3125
4 5 6 7 8 9 10-5.4E-017 -0.464039 -0.464039 -1.3125 0 0 0
-0.875 -0.464039 -0.464039 0 0 0 0
-0.469574 -0.939149 0.4695736 0 0 0 01.1097863 0.4695736 -0.234786 0 0 0 00.4695736 1.8727629 -0.240322 -4.4E-032 -2.4E-016 -0.469575 0.2347868-0.234786 -0.240322 2.1287183 -2.4E-016 -1.3125 0.2347868 -0.117393
0 -4.4E-032 -2.4E-016 1.96875 2.41E-016 -0.65625 00 -2.4E-016 -1.3125 2.41E-016 1.3125 0 00 -0.469575 0.2347868 -0.65625 0 1.1258247 -0.2347870 0.2347868 -0.117393 0 0 -0.234787 0.1173931
4 5 6 7 8 9 10-5.4E-017 -0.464039 -0.464039 -1.3125 0 0 0
-0.875 -0.464039 -0.464039 0 0 0 0-0.469574 -0.939149 0.4695736 0 0 0 01.1097863 0.4695736 -0.234786 0 0 0 00.4695736 1.8727629 -0.240322 -4.4E-032 -2.4E-016 -0.469575 0.2347868-0.234786 -0.240322 2.1287183 -2.4E-016 -1.3125 0.2347868 -0.117393
0 -4.4E-032 -2.4E-016 1.96875 2.41E-016 -0.65625 00 -2.4E-016 -1.3125 2.41E-016 1.3125 0 00 -0.469575 0.2347868 -0.65625 0 1.1258247 -0.2347870 0.2347868 -0.117393 0 0 -0.234787 0.1173931
4 5 6 7 8 9 10-5.4E-017 -0.464039 -0.464039 -1.3125 0 0 0
-0.875 -0.464039 -0.464039 0 0 0 0-0.469574 -0.939149 0.4695736 0 0 0 01.1097863 0.4695736 -0.234786 0 0 0 00.4695736 1.8727629 -0.240322 -4.4E-032 -2.4E-016 -0.469575 0.2347868-0.234786 -0.240322 2.1287183 -2.4E-016 -1.3125 0.2347868 -0.117393
0 -4.4E-032 -2.4E-016 1.96875 2.41E-016 -0.65625 00 -2.4E-016 -1.3125 2.41E-016 1.3125 0 00 -0.469575 0.2347868 -0.65625 0 1.1258247 -0.2347870 0.2347868 -0.117393 0 0 -0.234787 0.1173931
6 7 8 9 1 2 100.4695736 0 0 0 -3.3E-033 -5.4E-017 0-0.234786 0 0 0 -5.4E-017 -0.875 0-0.240322 -4.4E-032 -2.4E-016 -0.469575 -0.464039 -0.464039 0.23478682.1287183 -2.4E-016 -1.3125 0.2347868 -0.464039 -0.464039 -0.117393-2.4E-016 1.96875 2.41E-016 -0.65625 -1.3125 0 0-1.3125 2.41E-016 1.3125 0 0 0 0
0.2347868 -0.65625 0 1.1258247 0 0 -0.234787
-0.464039 -1.3125 0 0 1.7765388 0.4640388 0-0.464039 0 0 0 0.4640388 1.3390388 0-0.117393 0 0 -0.234787 0 0 0.1173931
6 7 8 90.4695736 0 0 0 u2-0.234786 0 0 0 v2-0.240322 -4.4E-032 -2.4E-016 -0.469575 u32.1287183 -2.4E-016 -1.3125 0.2347868 x v3-2.4E-016 1.96875 2.41E-016 -0.65625 u4-1.3125 2.41E-016 1.3125 0 v4
0.2347868 -0.65625 0 1.1258247 u5
0.7619048 -2.943536 2.2857143 15.34-1.6E-017 9.26E-017 -4.8E-017 00.5079369 -1.483472 1.5238107 0-0.507937 2.9201346 -1.523811 x 00.7619048 -0.507937 0.7619048 0-0.507937 3.6820393 -1.523811 -12.340.7619048 -1.523811 2.2857143 0
-1.3125 0 0 124.770720 0 0 x 8.76569470 0 -0.234787 63.45989
-81.1883117.95556-90.5902153.866681
P1 kontrol P1 =
12.34 = P2 kontrolP2 =
0 3.28E-033 5.36E-017 -3.3E-033 -5.4E-0170 x 5.36E-017 0.875 -5.4E-017 -0.875 x1 -3.3E-033 -5.4E-017 3.28E-033 5.36E-017
6.13E-017 -5.4E-017 -0.875 5.36E-017 0.875
0x 0
124.770728.7656947
TARIK
0 0.9391494 -0.469574 -0.939149 0.46957360 x -0.469574 0.2347863 0.4695736 -0.234786 x
-0.447213 -0.939149 0.4695736 0.9391494 -0.4695740.8944276 0.4695736 -0.234786 -0.469574 0.2347863
124.77072x 8.7656947
63.45989-81.18831
TEKAN
0 0.4695747 -0.234787 -0.469575 0.2347868
0 x -0.234787 0.1173931 0.2347868 -0.117393 x-0.447213 -0.469575 0.2347868 0.4695747 -0.2347870.8944276 0.2347868 -0.117393 -0.234787 0.1173931
63.45989x -81.18831
53.8666810
TEKAN
0 0.4640388 0.4640388 -0.464039 -0.4640390 x 0.4640388 0.4640388 -0.464039 -0.464039 x
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63.45989-81.18831
TEKAN
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-1.8E-016 -2.4E-016 -1.3125 2.41E-016 1.3125
63.45989x -81.18831
17.95556-90.59021
TARIK
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0x 0
17.95556-90.59021
TARIK
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53.8666810
TARIK
-1 00 01 00 0
0
0
16.13E-017
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001
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00-1
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0
0
1
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0001
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01
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kg35 6 9 10
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10 0.2347868 -0.117393 -0.234787 0.1173931
kg61 2 7 8
1 1.3125 0 -1.3125 02 0 0 0 07 -1.3125 0 1.3125 08 0 0 0 0
u1v1u2v2
x u3v3u4v4u5v5
00u2v2
x u3v3u4v4u50
u2v2u3v3u4
x v4u5
000
15.34 t
12.34 t
00
124.770728.7656947
124.770728.765694763.45989-81.18831
63.45989
-81.1883153.866681
0
00
63.45989-81.18831
63.45989-81.1883117.95556-90.59021
00
17.95556-90.59021
17.95556-90.5902153.866681
0