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PENOMORAN BATANG DAN TITIK 

A   = 100 cm2

E   = 2100000 kg/cm2

TABEL

BATANG L (cm) AE

1

100 2100000

300

210000000

2 300

3 300

4 300

5 250

6 250

7 300

8 300

9 250

10 250

11 250

12 400

13 250

14 250

15 25016 400

17 250

18 250

19 250

20 400

21 250

A (cm2) E (kg/cm2)

1 2

10

9 8 7

1211

3 4 5

6

3 t 3 t

4 t

2 t

4 t

          4

          0

          0

300 300 300300

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MATRIKS KEKAKUAN BATANG

MATRIKS KEKAKUAN BATANG 1 (NODE 1-2)

α = 0 A= 7.36 (AE)/L=

sin α = 0 E= 2100000

cos α = 1 L= 160

96600 0 -96600 0

[k(1)] = 0 0 0 0

-96600 0 96600 0

0 0 0 0

1 0 0 0

[T(1)] = 0 1 0 0

0 0 1 0

0 0 0 1

1 0 0 0

[T(1)]t= 0 1 0 0

0 0 1 0

0 0 0 1

u1 v1 u2 v2

96600 0 -96600 0   u1

[K(1)] = 0 0 0 0   v1-96600 0 96600 0   u2

0 0 0 0   v2

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MATRIKS KEKAKUAN BATANG 2 (NODE 2-3)

α = 90 A= 7.36

sin α = 1 E= 2100000

cos α = 0 L= 160

96600 0 -96600 0

[k(2)] = 0 0 0 0

-96600 0 96600 0

0 0 0 0

0 1 0 0

[T(2)] = -1 0 0 0

0 0 0 1

0 0 -1 0

0 -1 0 0

[T(2)]t= 1 0 0 0

0 0 0 -1

96600 0 0 1 0

u2 v2 u3 v3

0 0 0 0   u2

[K(2)] = 0 96600 0 -96600   v2

0 0 0 0   u3

0 -96600 0 96600   v3

MATRIKS KEKAKUAN BATANG 3(NODE 3-4)

α = !" A= 7.36

sin α = 0.707106# E= 2100000

cos α = 0.707106# L= 113.1

1366"7.#2 0 -1366"# 0

[k(3)] = 0 0 0 0

-1366"# 0 1366"7.#2 0

0 0 0 0

0.707106# 0.707106# 0 0

[T(3)] = -0.707107 0.707106# 0 0

0 00.707106# 0.707106#

0 0 -0.707107 0.707106#

0.707106# -0.707107 0 0

[T(3)]t= 0.707106# 0.707106# 0 0

0 00.707106# -0.707107

0 00.707106# 0.707106#

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u3 v3 u! v!

(AE)/L= 96600 6#32#.912 -6#32#.91 -6#32#.916#32#.912

[K(3)] = -6#32#.916#32#.912 6#32#.912 -6#32#.91

-6#32#.916#32#.912 6#32#.912 -6#32#.91

6#32#.912 -6#32#.91 -6#32#.91 6#32#.912

MATRIKS KEKAKUAN BATANG 4 (NODE 4-5)

α = 13" A= 7.36

sin α = 0.707106# E= 2100000

cos α = -0.707107 L= 113.1

1366"7.#2 0 -1366"# 0

[k(!)] = 0 0 0 0

-1366"# 0 1366"7.#2 0

0 0 0 0

-0.707107 0.707106# 0 0

[T(!)] = -0.707107 -0.707107 0 0

0 0 -0.707107 0.707106#

0 0 -0.707107 -0.707107

-0.707107 -0.707107 0 0

[T(!)]t= 0.707106# -0.707107 0 0

0 0 -0.707107 -0.707107

0 0 0.707106# -0.707107

u! v! u" v"

(AE)/L= 1366"7.#2 6#32#.912 6#32#.912 -6#32#.91 -6#32#.91

[K(!)] =6#32#.9126#32#.912 -6#32#.91 -6#32#.91

-6#32#.91 -6#32#.91 6#32#.912 6#32#.912

-6#32#.91 -6#32#.91 6#32#.912 6#32#.912

MATRIKS KEKAKUAN BATANG 5 (NODE 5-6)

α = 13" A= 7.36

sin α = 0.707106# E= 2100000

cos α = -0.707107 L= 113.1

1366"7.#2 0 -1366"# 0

[k(")] = 0 0 0 0

-1366"# 0 1366"7.#2 00 0 0 0

-0.707107 0.707106# 0 0

[T(")] = -0.707107 -0.707107 0 0

0 0 -0.707107 0.707106#

0 0 -0.707107 -0.707107

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-0.707107 -0.707107 0

u3   [T(")]t= 0.707106# -0.707107 0

v3   0 0 -0.707107

u!   0 0 0.707106#

v! u" v" u6

6#32#.912 6#32#.912 -6#32#.91

[K(")] = 6#32#.912 6#32#.912 -6#32#.91

(AE)/L= 1366"7.#2 -6#32#.91 -6#32#.916#32#.912

-6#32#.91 -6#32#.91 6#32#.912

MATRIKS KEKAKUAN BATANG 6 (NODE 6

α = 233.1301 A=

sin α = -0.# E=

cos α = -0.6 L=

61#2! 0 -61#2!

[k(6)] = 0 0 0

-61#2! 0 61#2!

0 0 0

-0.6 -0.# 0

[T(6)] = 0.# -0.6 0

0 0 -0.6

0 0 0.#

-0.6 0.# 0

u!   [T(6)]t= -0.# -0.6 0

v!   0 0 -0.6

u"   0 0 -0.#

v" u6 v6 u7

222"6.6!2 -2967"."2 -222"6.6!

[K(6)] = -2967"."2 39"67.3"# 2967"."21

(AE)/L= 1366"7.#2 -222"6.6!2967"."21 222"6.6!2

2967"."21 -39"67.36 -2967"."2

MATRIKS KEKAKUAN BATANG 7 (NODE 7

α = 1#0 A=

sin α = 0 E=

cos α = -1 L=

"1"20 0 -"1"20

[k(7)] = 0 0 0

-"1"20 0 "1"20

0 0 0

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0 -1 0

0 [T(7)] = 0 -1

-0.707107 0 0

-0.707107 0 0

v6

-6#32#.91   u"   -1 0

-6#32#.91   v"   [T(7)]t= 0 -1

6#32#.912   u6   0 0

6#32#.912   v6   0 0

u7 v7

  -7)   "1"20 0

7.36 (AE)/L= 61#2! [K(7)] = 0 0

2100000 -"1"20 0

2"0 0 0

0 MATRIKS KEKAKUAN BATANG 8

0 α = 1#0

0 sin α = 0

0 cos α = -1

0 "1"20 0

0 [k(#)] = 0 0

-0.# -"1"20 0

-0.6 0 0

0 -1 0

0 [T(#)] = 0 -1

0.# 0 0

-0.6 0 0

v7

2967"."21   u6   -1 0

-39"67.36   v6   [T(#)]t= 0 -1

-2967"."2   u7   0 0

39"67.3"#   v7   0 0

u# v#

  -8)   "1"20 0

7.36 (AE)/L= "1"20 [K(#)] = 0 0

2100000 -"1"20 0

300 0 0

0

0

0

0

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0 0 MATRIKS KEKAKUA

0 0 α = 126.#699

-1 0 sin α = 0.#0000

0 -1 cos α = -0.6

0 0 61#2!

0 0 [k(9)] = 0

-1 0 -61#2!

0 -1 0

u# v#

-"1"20 0   u7   -0.6

0 0   v7   [T(9)] = -0.#

"1"20 0   u#   0

0 0   v#   0

  NODE 8-9)   -0.6

A= 7.36 (AE)/L= "1"20 [T(9)]t= 0.#

E= 2100000 0

L= 300 0

u9

-"1"20 0 222"6.6!2

0 0 [K(9)] = 2967"."21

"1"20 0 -222"6.6!

0 0 -2967"."2

0 0 MATRIKS KEKAKUA

0 0 α = 126.#699

-1 0 sin α = 0.#

0 -1 cos α = -0.6

0 0 61#2!

0 0 [k(10)] = 0

-1 0 -61#2!

0 -1 0

u9 v9

-"1"20 0   u#   -0.6

0 0   v#   [T(10)] = -0.#

"1"20 0   u9   0

0 0   v9   0

-0.6

[T(10)]t= 0.#

0

0

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 BATANG 9 (NODE 9-10)

A= 7.36 (AE)/L= 61#2!

E= 2100000 [K(10)] =

L= 2"0

0 -61#2! 0

0 0 0 MATRIKS

0 61#2! 0 α =

0 0 0 sin α =

cos α =

0.# 0 0

-0.6 0 0

0 -0.6 0.# [k(11)] =

0 -0.# -0.6

-0.# 0 0

-0.6 0 0

0 -0.6 -0.# [T(11)] =

0 0.# -0.6

v9 u10 v10

2967"."21 -222"6.6! -2967"."2   u9

39"67.3"# -2967"."2 -39"67.36   v9

-2967"."2 222"6.6!2 2967"."21   u10   [T(11)]t=

-39"67.36 2967"."21 39"67.3"#   v10

 BATANG 10 (NODE 10-1)

A= 7.36 (AE)/L= 61#2!

E= 2100000 [K(11)] =

L= 2"0

0 -61#2! 0

0 0 0 MATRIKS

0 61#2! 0 α =

0 0 0 sin α =

cos α =

0.# 0 0

-0.6 0 0

0 -0.6 0.# [k(12)] =

0 -0.# -0.6

-0.# 0 0

-0.6 0 0

0 -0.6 -0.# [T(12)] =

0 0.# -0.6

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u10 v10 u1 v1

222"6.6!2 2967"."21 -222"6.6! -2967"."2   u10

2967"."21 39"67.3"# -2967"."2 -39"67.36   v10

-222"6.6! -2967"."2 222"6.6!22967"."21   u1

-2967"."2 -39"67.36 2967"."2139"67.3"#   v1

  EKAKUAN BATANG 11 (NODE 10-2)

"3.1301 A= 7.36 (AE)/L= 61#2!

0.# E= 2100000

0.6 L= 2"0

61#2! 0 -61#2! 0

0 0 0 0

-61#2! 0 61#2! 0

0 0 0 0

0.6 0.# 0 0

-0.# 0.6 0 0

0 0 0.6 0.#

0 0 -0.# 0.6

0.6 -0.# 0 0

0.# 0.6 0 0

0 0 0.6 -0.#

0 0 0.# 0.6

u10 v10 u2 v2

222"6.6!2 -2967"."2 -222"6.6!2967"."21   u10

-2967"."2 39"67.3"# 2967"."21 -39"67.36   v10

-222"6.6! 2967"."21 222"6.6!2 -2967"."2   u2

2967"."21 -39"67.36 -2967"."239"67.3"#   v2

  EKAKUAN BATANG 12 (NODE 9-2)

90 A= 7.36 (AE)/L= 3#6!0

1 E= 2100000

0 L= !00

3#6!0 0 -3#6!0 0

0 0 0 0

-3#6!0 0 3#6!0 00 0 0 0

0 1 0 0

-1 0 0 0

0 0 0 1

0 0 -1 0

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0 -1 0 0

[T(12)]t= 1 0 0 0

0 0 0 -1

0 0 1 0

u9 v9 u2 v2

0 0 0 0   u9

[K(12)] = 0 3#6!0 0 -3#6!0   v9

0 0 0 0   u2

0 -3#6!0 0 3#6!0   v2

MATRIKS KEKAKUAN BATANG 13 (NODE 11-2)

α = 126.#699 A= 7.36 (AE)/L=

sin α = 0.79999997"3 E= 2100000

cos α = -0.6000000329 L= 2"0

61#2! 0 -61#2! 0

[k(13)] = 0 0 0 0

-61#2! 0 61#2! 0

0 0 0 0

-0.6000000329 0.# 0 0

[T(13)] = -0.79999997"3 -0.6 0 0

0 0 -0.6000000329 0.#

0 0 -0.79999997"3 -0.6

-0.6000000329 -0.# 0 0

[T(13)]t= 0.79999997"3 -0.6 0 0

0 0 -0.6000000329 -0.#

0 0 0.79999997"3 -0.6

u11 v11 u2 v2

222"6.6!2!39 2967"."21 -222"6.6!2!39 -2967"."2   u11

[K(13)] = 2967"."20711 39"67.3"# -2967"."20711 -39"67.36   v11

-222"6.6!2!39 -2967"."2 222"6.6!2!39 2967"."21   u2

-2967"."20711 -39"67.36 2967"."20711 39"67.3"#   v2

MATRIKS KEKAKUAN BATANG 14 (NODE 11-9)

α = 233.1301 A= 7.36 (AE)/L=

sin α = -0.79999997"3 E= 2100000

cos α = -0.6000000329 L= 2"0

61#2! 0 -61#2! 0

[k(1!)] = 0 0 0 0

-61#2! 0 61#2! 0

0 0 0 0

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-0.6 -0.# 0 0

[T(1!)] = 0.# -0.6 0 0

0 0 -0.6 -0.#

0 0 0.# -0.6

-0.6 0.# 0 0

[T(1!)]t= -0.# -0.6 0 0

0 0 -0.6 0.#

0 0 -0.# -0.6

u11 v11 u9 v9

222"6.6!2 -2967"."2 -222"6.6! 2967"."21   u11

61#2! [K(1!)] = -2967"."2 39"67.3"# 2967"."21 -39"67.36   v11

-222"6.6! 2967"."21222"6.6!2 -2967"."2   u9

2967"."21 -39"67.36 -2967"."2 39"67.3"#   v9

MATRIKS KEKAKUAN BATANG 15 (NODE 11-3)

α = "3.1301 A= 7.36

sin α = 0.# E= 2100000

cos α = 0.6 L= 2"0

61#2! 0 -61#2! 0

[k(1")] = 0 0 0 0

-61#2! 0 61#2! 0

0 0 0 0

0.6 0.# 0 0

[T(1")] = -0.# 0.6 0 0

0 0 0.6 0.#

0 0 -0.# 0.6

0.6 -0.# 0 0

[T(1")]t= 0.# 0.6 0 0

0 0 0.6 -0.#

0 0 0.# 0.6

u11 v11 u3 v3

222"6.6!2 -2967"."2 -222"6.6! 2967"."21   u11

61#2! [K(1")] = -2967"."2 39"67.3"# 2967"."21 -39"67.36   v11

-222"6.6! 2967"."21222"6.6!2 -2967"."2   u3

2967"."21 -39"67.36 -2967"."2 39"67.3"#   v3

MATRIKS KEKAKUAN BATANG 16 (NODE 8-3)

α = 90 A= 7.36

sin α = 1 E= 2100000

cos α = 0 L= !00

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3#6!0 0 -3#6!0

[k(16)] = 0 0 0

-3#6!0 0 3#6!0

0 0 0

0 1 0

[T(16)] = -1 0 0

0 0 0

0 0 -1

0 -1 0

[T(16)]t= 1 0 0

0 0 0

0 0 1

u# v# u3

0 0 0

(AE)/L= 61#2! [K(16)] = 0 3#6!0 0

0 0 0

0 -3#6!0 0

MATRIKS KEKAKUAN BATANG 17 (NODE 12-

α = 126.#699 A=

sin α = 0.79999997"3 E=

cos α = -0.600000033 L=

61#2! 0 -61#2!

[k(17)] = 0 0 0

-61#2! 0 61#2!

0 0 0

-0.600000033 0.# 0

[T(17)] = -0.79999997" -0.6 0

0 0 -0.6

0 0 -0.#

-0.600000033 -0.# 0

[T(17)]t= 0.79999997"3 -0.6 0

0 0 -0.6

0 0 0.#u12 v12 u3

222"6.6!2!392967"."21 -222"6.6!

(AE)/L= 3#6!0 [K(17)] = 2967"."20711 39"67.3"# -2967"."2

-222"6.6!2!! -2967"."2 222"6.6!2

-2967"."2071 -39"67.36 2967"."21

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0 MATRIKS KEKAKUAN BATANG

0 α = "3.1301

0 sin α = 0.#

0 cos α = 0.6

0 61#2! 0

0 [k(1#)] = 0 0

1 -61#2! 0

0 0 0

0 0.6 0.#

0 [T(1#)] = -0.# 0.6

-1 0 0

0 0 0

v3

0   u#   0.6 -0.#

-3#6!0   v#   [T(1#)]t= 0.# 0.6

0   u3   0 0

3#6!0   v3   0 0

u12 v12

  )   222"6.6!2 -2967"."2

7.36 (AE)/L= 61#2! [K(1#)] = -2967"."2 39"67.3"#

2100000 -222"6.6! 2967"."21

2"0 2967"."21 -39"67.36

0 MATRIKS KEKAKUAN BATANG

0 α = 306.#699

0 sin α = -0.#

0 cos α = 0.6

0 61#2! 0

0 [k(19)] = 0 0

0.# -61#2! 0

-0.6 0 0

0 0.6 -0.#

0 [T(19)] = 0.# 0.6

-0.# 0 0

-0.6 0 0v3

-2967"."2   u12   0.6 0.#

-39"67.36   v12   [T(19)]t= -0.# 0.6

2967"."21   u3   0 0

39"67.3"#   v3   0 0

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 18 (NODE 12-4)

A= 7.36 (AE)/L= 61#2!

E= 2100000 [K(19)] =

L= 2"0

-61#2! 0

0 0 MATRIKS

61#2! 0 α =

0 0 sin α =

cos α =

0 0

0 0

0.6 0.# [k(20)] =

-0.# 0.6

0 0

0 0

0.6 -0.# [T(20)] =

0.# 0.6

u! v!

-222"6.6! 2967"."21   u12

2967"."21 -39"67.36   v12

222"6.6!2 -2967"."2   u!   [T(20)]t=

-2967"."2 39"67.3"#   v!

 19 (NODE 12-7)

A= 7.36 (AE)/L= 61#2!

E= 2100000 [K(20)] =

L= 2"0

-61#2! 0

0 0 MATRIKS

61#2! 0 α =

0 0 sin α =

cos α =

0 0

0 0

0.6 -0.# [k(21)] =

0.# 0.6

0 0

0 0

0.6 0.# [T(21)] =

-0.# 0.6

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u12 v12 u7 v7

222"6.6!2!39 2967"."21 -222"6.6!2!39 -2967"."2   u12

2967"."20711 39"67.3"# -2967"."20711 -39"67.36   v12

-222"6.6!2!39 -2967"."2 222"6.6!2!39 2967"."21   u7

-2967"."20711 -39"67.36 2967"."20711 39"67.3"#   v7

  EKAKUAN BATANG 20 (NODE 7-4)

90 A= 7.36 (AE)/L= 3#6!0

1 E= 2100000

0 L= !00

3#6!0 0 -3#6!0 0

0 0 0 0

-3#6!0 0 3#6!0 0

0 0 0 0

0 1 0 0

-1 0 0 0

0 0 0 1

0 0 -1 0

0 -1 0 0

1 0 0 0

0 0 0 -1

0 0 1 0

u7 v7 u! v!

0 0 0 0   u7

0 3#6!0 0 -3#6!0   v7

0 0 0 0   u!

0 -3#6!0 0 3#6!0   v!

  EKAKUAN BATANG 21 (NODE 6-4)

126.#699 A= 7.36 (AE)/L= 61#2!

0.79999997"3 E= 2100000

-0.6000000329 L= 2"0

61#2! 0 -61#2! 0

0 0 0 0

-61#2! 0 61#2! 00 0 0 0

-0.6000000329 0.# 0 0

-0.79999997"3 -0.6 0 0

0 0 -0.6000000329 0.#

0 0 -0.79999997"3 -0.6

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-0.6 -0.# 0 0

[T(21)]t= 0.# -0.6 0 0

0 0 -0.6 -0.#

0 0 0.# -0.6

u6 v6 u! v!

222"6.6!22967"."21 -222"6.6! -2967"."2   u6

[K(21)] =2967"."2139"67.3"# -2967"."2 -39"67.36   v6

-222"6.6! -2967"."2 222"6.6!22967"."21   u!

-2967"."2 -39"67.36 2967"."2139"67.3"#   v!

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MATRIKS KEKAKUAN GLOBAL

u1 v1 u2 v2

11##"6.6!2!39 2967"."207112"## -96600 0

2967"."207113 39"67.3"7"613979 0 0

-96600 0 1!1113.2#!#77 0

0 0 0 21!37!.71"1230 0 0 0

0 0 0 -96600

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 0 0 00 0 0 0

0 0 -1.!!99""E-02# 2.3669#7E-012

0 0 2.3669#7E-012 -3#6!0

-222"6.6!2!39 -2967"."207112"## -222"6.6!2!39 2967"."207113

-2967"."20711 -39"67.3"7"613979 2967"."207113 -39"67.3"7"61

0 0 -222"6.6!2!39 -2967"."20711

0 0 -2967"."20711 -39"67.3"7"61

0 0 0 0

0 0 0 0

PENATAAN ULANG MATRIKS KEKAKUAN GLOBAL

u1 v1 u"

$1 11##"6.6!2!3#602 2967"."207113 0

%1 2967"."207112"## 39"67.3"7"61! 0

$" 0 0 1366"7.#2!93!

%" 0 0 1366"7.#2!93!

$2 -96600 0 0

%2 0 0 0

$3 0 0 0

%3 0 0 0

$! 0 0 -6#32#.912!67%! 0 0 -6#32#.912!67

$6 = 0 0 -6#32#.912!67

%6 0 0 -6#32#.912!67

$7 0 0 0

%7 0 0 0

$# 0 0 0

%# 0 0 0

$9 0 0 0

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%9 0 0 0

$10 -222"6.6!2!3#6021 -2967"."20711 0

%10 -2967"."207112"## -39"67.3"7"61 0

$11 0 0 0

%11 0 0 0

$12 0 0 0

%12 0 0 0

MENGHITUNG PERPINDAHAN

u2 v2 u3

0 u2 1!1113.2#!#7720! 0 0

-3000 v2 0 21!37!.71"123 0

0 u3 0 0 112#!2.1973!!

0 v3 0 -96600 -6#32#.912!67

0 u! 0 0 -6#32#.912!67

-3000 v! 0 0 6#32#.912!66#

0 u6 0 0 0

0 v6 0 0 0

-!000 u7 0 0 0

0 v7 0 0 0

0 u# 0 0 -1.!!99""E-02#

-2000 v# 0 0 2.3669#7E-012

-!000 u9 -1.!!99""119"21#E-02# 2.3669#7E-012 0

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0 -2967"."20711 -39"67.3"7"61 0 0

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0 0 0 0 0

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v10 u11 v11 u12 v12

-2967"."20711 0 0 0 0   u1

-39"67.3"7"61 0 0 0 0   v1

2967"."207113 -222"6.6!2!39 -2967"."20711 0 0   u2

-39"67.3"7"61 -2967"."20711 -39"67.3"7"61 0 0   v20 -222"6.6!2!39 2967"."207113 -222"6.6! -2967"."2   u3

0 2967"."207113 -39"67.3"7"61 -2967"."2 -39"67.36   v3

0 0 0 -222"6.6! 2967"."21   u!

0 0 0 2967"."21 -39"67.36   v!

0 0 0 0 0   u"

0 0 0 0 0   v"

0 0 0 0 0   u6

0 0 0 0 0   v6

0 0 0 -222"6.6! -2967"."2   u7

0 0 0 -2967"."2 -39"67.36   v7

0 0 0 0 0   u#0 0 0 0 0   v#

-2967"."20711 -222"6.6!2!39 2967"."207113 0 0   u9

-39"67.3"7"61 2967"."207113 -39"67.3"7"61 0 0   v9

2967"."207113 0 0 0 0   u10

11#702.0726#! 0 0 0 0   v10

0 66769.92731"# -2967"."20711 0 0   u11

0 -2967"."20711 11#702.0726#! 0 0   v11

0 0 0 66769.927 2967"."21   u12

0 0 0 2967"."21 11#702.07   v12

u10 v10 u11 v11 u12 v12

-222"6.6!2!39 -2967"."20711 0 0 0 0

-2967"."20711 -39"67.3"7"61 0 0 0 0

0 0 0 0 0 0

0 0 0 0 0 0

-222"6.6!2!39 2967"."207113 -222"6.6!2!39 -2967"."2 0 0

2967"."207113 -39"67.3"7"61 -2967"."20711 -39"67.36 0 0

0 0 -222"6.6!2!39 2967"."21 -222"6.6! -2967"."2

0 0 2967"."207113 -39"67.36 -2967"."2 -39"67.36

0 0 0 0 -222"6.6! 2967"."210 0 0 0 2967"."21 -39"67.36

0 0 0 0 0 0

0 0 0 0 0 0

0 0 0 0 -222"6.6! -2967"."2

0 0 0 0 -2967"."2 -39"67.36

0 0 0 0 0 0

0 0 0 0 0 0

-222"6.6!2!39 -2967"."20711 -222"6.6!2!39 2967"."21 0 0

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-2967"."20711 -39"67.3"7"61 2967"."207113 -39"67.36 0 0

66769.92731"# 2967"."207113 0 0 0 0

2967"."207113 11#702.0726#! 0 0 0 0

0 0 66769.92731"# -2967"."2 0 0

0 0 -2967"."20711 11#702.07 0 0

0 0 0 0 66769.927 2967"."21

0 0 0 0 2967"."21 11#702.07

u12 v12

0 0 u2

0 0 v2

-222"6.6!2!39 -2967"."20711 u3

-2967"."20711 -39"67.3"7"61 v3

-222"6.6!2!39 2967"."207113 u!

2967"."207113 -39"67.3"7"61 v!

0 0 u6

0 0 v6

-222"6.6!2!39 -2967"."20711 u7

-2967"."20711 -39"67.3"7"61 v7

0 0 u#

0 0 v#

0 0 u9

0 0 v9

0 0 u10

0 0 v10

0 0 u11

0 0 v11

66769.92731"# 2967"."207113 u12

2967"."207113 11#702.0726#! v12

-#.0"6!23E-019 #.0"6!23E-019 0 u2

-0.0172369139 0.01!"6"70"" -3000 v2

0.020#"209 -0.017"!""7!3 0 u3

-0.0173#37367 0.01!69!9!#2 0 v3

0.01907#0271 -0.0160#6999! 0 u!

-0.01911901#2 0.01612"3933 -3000 v!

0.020!!222#6 -0.0172330112 0 u6-0.0203!26972 0.0171"0712 0 v6

0.022!03"779 -0.01##"1123! -!000 u7

-0.01#9003319 0.01"960#1!9 0 v7

0.022313"6# -0.01#7#"#3"" 0 u#

-0.0173#37367 0.01!69!9!#2 -2000 v#

0.022223""#1 -0.01#720"!77 -!000 u9

-0.016#69#"69 0.01!2!2"9#9 0 v9

0.011!23#793 -0.0096!30739 0 u10

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-0.00#6690037 0.007333399" 0 v10

0.01069""006 -0.0090019092 0 u11

-0.02"2"#"!01 0.02131713# 0 v11

0.021021102 -0.01767#"60# 0 u12

-0.01767#"60# 0.01!9!!3"#9 0 v12

0 0 0.000

0 0 2#.09#

0 0 -3!.!10

0 0 2#.336

-31.29!

31.3"#

-33.736

33."""

-37.20031.00#

-36.9#6

2#.2#"

-36.772

27."79

-1#.732

1!.0!9

-17.702

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!1.37!

-3!.673

2#.#23

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u1

v1

u"

v"

u2

v2

u3

v3

u!v!

u6

v6

u7

v7

u#

v#

u9

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u10

v10

u11

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MENGHITUNG GA$A DALAM PADA TIAP BATANG

MENGHITUNG GA$A DALAM BATANG 1 (NODE 1-2)

$1 1 0 0 0 96600

%1 = 0 1 0 0 0

$2 0 0 1 0 -96600

%2 0 0 0 1 0

$1 96600 0 -96600 0 0

%1 = 0 0 0 0 0

$2 -96600 0 96600 0 0.000

%2 0 0 0 0 2#.09#

$1 3.#913E-010 k

%1 = 0 k

$2 0 k

%2 0 k

MENGHITUNG GA$A DALAM BATANG 2 (NODE 2-3)

$2 0 1 0 0 0

%2 = -1 0 0 0 0

$3 0 0 0 1 0

%3 0 0 -1 0 0

$2 0 96600 0 -96600 0.000

%2 = 0 0 0 0 2#.09#

$3 0 -96600 0 96600 -3!.!10

%3 0 0 0 0 2#.336

$2 -230"".0903 k

%2 = 0 k

$3 230"".09026 k

%3 0 k

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$2 -230"".09

%2 = 0

$3 230"".09

%3 0

0 -96600 0 0 MENGHITUNG GA$A DA

0 0 0 0

0 96600 0 0.000 $3 0.707106#

0 0 0 2#.09# %3 = -0.707107

$! 0

%! 0

$3 2.1#E-011

%3 = -96631.67

$! -2.2E-011

%! 96631.67"

$3 1.99E-011

%3 = 912"

$! -2.0E-011

%! -912"

0 0 0 0.000 MENGHITUNG GA$A DA

96600 0 -96600 2#.09#

0 0 0 -3!.!10 $! -0.707107

-96600 0 96600 2#.336 %! = -0.707107

$" 0

%" 0

$! 2.91E-011

%! = -96631.67

$" -2.9E-011

%" 96631.67"

$! -2.3E-010

%! = -6197.#"9

$" 2.26E-010

%" 6197.#"93

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k

k

k

k

  AM BATANG 3 (NODE 3-4)

0.707106# 0 0 6#32#.912 -6#32#.91 -6#32#.91 6#32#.912

0.707106# 0 0 -6#32#.91 6#32#.912 6#32#.912 -6#32#.91

0 0.707106#0.707106# -6#32#.91 6#32#.9126#32#.912 -6#32#.91

0 -0.707107 0.707106# 6#32#.912 -6#32#.91 -6#32#.91 6#32#.912

-2.9E-011 -2.2E-011 2.91E-011 -3!.!09#6

96631.67" 96631.67" -96631.67 2#.336!92

2.91E-011 2.1#E-011 -2.9E-011 -31.293#9

-96631.67 -96631.67 96631.67" 31.3"#029

k

k

k

k

  AM BATANG 4 (NODE 4-5)

0.707106# 0 0 6#32#.912 6#32#.912 -6#32#.91 -6#32#.91

-0.707107 0 0 6#32#.912 6#32#.912 -6#32#.91 -6#32#.91

0 -0.707107 0.707106# -6#32#.91 -6#32#.91 6#32#.912 6#32#.912

0 -0.707107 -0.707107 -6#32#.91 -6#32#.91 6#32#.912 6#32#.912

2.1#E-011 -2.9E-011 -2.2E-011 -31.293#9

-96631.67 96631.67" 96631.67" 31.3"#029

-2.2E-011 2.91E-011 2.1#E-011 0

96631.67" -96631.67 -96631.67 0

k

k

k

k

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$! -2.26293E-010 k

%! = -619# k

$" 0 k

%" 619# k

MENGHITUNG GA$A DALAM BATANG 5 (NODE 5-6)

-3!.!09#6 $" -0.7 0.7 0.0

2#.336!92 %" = -0.7 -0.7 0.0

-31.293#9 $6 0.0 0.0 -0.7

31.3"#029 %6 0.0 0.0 -0.7

$" 2.9103#3E-011 2.1#279E-011 -2.9103#E-011

%" = -96631.67!713 -96631.67!71 96631.67!713

$6 -2.9103#E-011 -2.1#2#E-011 2.9103#3E-011

%6 96631.67!713 96631.67!71 -96631.67!713

$" 0.000 k

%" = -17"12 k

$6 0.000 k

%6 17"12 k

MENGHITUNG GA$A DALAM BATANG 6 (NODE 6-7)

-31.293#9 $6 -0.6 -0.# 0.0

31.3"#029 %6 = 0.# -0.6 0.0

0 $7 0.0 0.0 -0.6

0 %7 0.0 0.0 0.#

$6 103#6.!296!3 -13#!#."7167 -103#6.!296!3

%6 = 3"610.626#0! -!7!#0.#3167 -3"610.626#0!

$7 -103#6.!296!3 13#!#."7167 103#6.!296!3

%7 -3"610.626#0! !7!#0.#3167 3"610.626#0!

$6 722.31!#9061 k

%6 = 2!76."0#9"3" k

$7 -722.31!#9061 k

%7 -2!76."0#9"3" k

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0.0 6#32#.912 6#32#.912 -6#32#.91 -6#32#.91 0

0.0 6#32#.912 6#32#.912 -6#32#.91 -6#32#.91 0

0.7 -6#32#.91 -6#32#.91 6#32#.912 6#32#.912 -33.736

-0.7 -6#32#.91 -6#32#.91 6#32#.912 6#32#.912 33."""

-2.1#279E-011 0

96631.67!713 0

2.1#27#7E-011 -33.736

-96631.67!713 33."""

0.0 222"6.6!2 -2967"."2 -222"6.6! 2967"."21 -33.73"7"

0.0 -2967"."2 39"67.3"# 2967"."21 -39"67.36 33.""!"33

-0.# -222"6.6! 2967"."21 222"6.6!2 -2967"."2 -37.20036

-0.6 2967"."21 -39"67.36 -2967"."2 39"67.3"# 31.00#23#

13#!#."71671 -33.73"7"

!7!#0.#3167" 33.""!"33

-13#!#."71671 -37.20036

-!7!#0.#3167" 31.00#23#

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$6 722.31!#906 k

%6 = 2!77 k

$7 -722.31!#9 k

%7 -2!77 k

MENGHITUNG GA$A DALAM BATANG 7 (NODE 7-8)

$7 -1 0 0 0 "1"20

%7 = 0 -1 0 0 0

$# 0 0 -1 0 -"1"20

%# 0 0 0 -1 0

$7 -"1"20 0 "1"20 0 -37.20036

%7 = 0 0 0 0 31.00#23#

$# "1"20 0 -"1"20 0 -36.9#60!

%# 0 0 0 0 2#.2#!732

$7 110!1.3 k

%7 = 0 k

$# -110!1.3 k

%# 0 k

MENGHITUNG GA$A DALAM BATANG 8(NODE 8-9)

$# -1 0 0 0 "1"20

%# = 0 -1 0 0 0

$9 0 0 -1 0 -"1"20

%9 0 0 0 -1 0

$# -"1"20 0 "1"20 0 -36.9#60!

%# = 0 0 0 0 2#.2#!732

$9 "1"20 0 -"1"20 0 -36.77173

%9 0 0 0 0 27."7##03

$# 110!1.31#9# k

%# = 0 k

$9 -110!1.319 k

%9 0 k

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$# 110!1.319

%# = 0

$9 -110!1.32

%9 0

MENGHITUNG GA$A DALA

0 -"1"20 0 -37.20036 $9 -0.6

0 0 0 31.00#23# %9 = -0.#

0 "1"20 0 -36.9#60! $10 0

0 0 0 2#.2#!732 %10 0

$9 103#6.!3

%9 = -3"610.63

$10 -103#6.!3

%10 3"610.627

$9 0.000

%9 = 0

$10 0.000

%10 0

MENGHITUNG GA$A DALA

0 -"1"20 0 -36.9#60! $10 -0.6

0 0 0 2#.2#!732 %10 = -0.#

0 "1"20 0 -36.77173 $1 0

0 0 0 27."7##03 %1 0

$10 103#6.!3

%10 = -3"610.63

$1 -103#6.!3

%1 3"610.627

$10 -#.1E-010

%10 = 2.!!E-009

$1 #.1"E-010

%1 -2.!E-009

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k

k

k

k

M BATANG 9 (NODE 9-10)

0.# 0 0 222"6.6!2 2967"."21 -222"6.6! -2967"."2

-0.6 0 0 2967"."21 39"67.3"# -2967"."2 -39"67.36

0 -0.6 0.# -222"6.6! -2967"."2 222"6.6!2 2967"."21

0 -0.# -0.6 -2967"."2 -39"67.36 2967"."21 39"67.3"#

13#!#."72 -103#6.!3 -13#!#."7 -36.77173

-!7!#0.#3 3"610.627 !7!#0.#32 27."7##03

-13#!#."7 103#6.!3 13#!#."72 -1#.731##

!7!#0.#32 -3"610.63 -!7!#0.#3 1!.0!#913

k

k

k

k

M BATANG 10 (NODE 10-1)

0.# 0 0 222"6.6!2 2967"."21 -222"6.6! -2967"."2

-0.6 0 0 2967"."21 39"67.3"# -2967"."2 -39"67.36

0 -0.6 0.# -222"6.6! -2967"."2 222"6.6!2 2967"."21

0 -0.# -0.6 -2967"."2 -39"67.36 2967"."21 39"67.3"#

13#!#."72 -103#6.!3 -13#!#."7 -1#.731##

-!7!#0.#3 3"610.627 !7!#0.#32 1!.0!#913

-13#!#."7 103#6.!3 13#!#."72 0

!7!#0.#32 -3"610.63 -!7!#0.#3 0

k

k

k

k

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$10 0.000 k

%10 = 0 k

$1 #.1!9073E-010 k

%1 0 k

MENGHITUNG GA$A DALAM BATANG 11 (NODE 10-2)

-36.77173 $10 0.6000000329 0.# 0 0

27."7##03 %10 = -0.79999997"3 0.6 0 0

-1#.731## $2 0 0 0.6 0.#

1!.0!#913 %2 0 0 -0.# 0.6

$10 -103#6.!296!3 13#!#."72 103#6.!3 -13#!#."7

%10 = -3"610.626#0! !7!#0.#32 3"610.627 -!7!#0.#3

$2 103#6.!296!3 -13#!#."7 -103#6.!3 13#!#."72

%2 3"610.626#0! -!7!#0.#3 -3"610.63 !7!#0.#32

$10 -2.32#31E-010 k

%10 = 0 k

$2 2.32#306E-010 k

%2 0 k

MENGHITUNG GA$A DALAM BATANG 12 (NODE 9-2)

-1#.731## $9 0 1 0 0

1!.0!#913 %9 = -1 0 0 0

0 $2 0 0 0 1

0 %2 0 0 -1 0

$9 0 3#6!0 0 -3#6!0

%9 = 0 0 0 0

$2 0 -3#6!0 0 3#6!0

%2 0 0 0 0

$9 3000 k

%9 = 0 k

$2 -3000 k

%2 0 k

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222"6.6!2 -2967"."2 -222"6.6! 2967"."21 -1#.731##

-2967"."2 39"67.3"# 2967"."21 -39"67.36 1!.0!#91

-222"6.6! 2967"."21 222"6.6!2 -2967"."2 0.00000

2967"."21 -39"67.36 -2967"."2 39"67.3"# 2#.097#3

-1#.731##

1!.0!#913

-!.0E-01"

2#.097#27

0 0 0 0 -36.7717

0 3#6!0 0 -3#6!0 27."7##

0 0 0 0 0.0000

0 -3#6!0 0 3#6!0 2#.097#

-36.77173

27."7##03

-!.0E-01"

2#.097#27

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$9 -200"".09 k

%9 = 0 k

$2 200"".09 k

%2 0 k

MENGHITUNG GA$A DALAM BATANG 13 (NODE 11-2)

$11 -0.6 0.# 0 0 222"6.6!2 2967"."21

%11 = -0.# -0.6 0 0 2967"."21 39"67.3"#

$2 0 0 -0.6 0.# -222"6.6! -2967"."2

%2 0 0 -0.# -0.6 -2967"."2 -39"67.36

$11 103#6.!3 13#!#."72 -103#6.!3 -13#!#."7 -17.7019!

%11 = -3"610.63 -!7!#0.#3 3"610.627 !7!#0.#32 !1.37!2#6

$2 -103#6.!3 -13#!#."7 103#6.!3 13#!#."72 -!.0E-01"

%2 3"610.627 !7!#0.#32 -3"610.63 -!7!#0.#3 2#.097#27

$11 0 k

%11 = 0 k

$2 0 k

%2 0 k

MENGHITUNG GA$A DALAM BATANG 14 (NODE 11-9)

$11 -0.6 -0.# 0 0 222"6.6!2 -2967"."2

%11 = 0.# -0.6 0 0 -2967"."2 39"67.3"#

$9 0 0 -0.6 -0.# -222"6.6! 2967"."21

%9 0 0 0.# -0.6 2967"."21 -39"67.36

$11 103#6.!3 -13#!#."7 -103#6.!3 13#!#."72 -17.7019!

%11 = 3"610.627 -!7!#0.#3 -3"610.63 !7!#0.#32 !1.37!2#6

$9 -103#6.!3 13#!#."72 103#6.!3 -13#!#."7 -36.77173

%9 -3"610.63 !7!#0.#32 3"610.627 -!7!#0.#3 27."7##03

$11 7019.279# k

%11 = 2!066.11 k

$9 -7019.2# k

%9 -2!066.11 k

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$11 7019.279#3

%11 = 2!066

$9 -7019.279#3

%9 -2!066

MENGHITUNG GA$A DALAM

-222"6.6! -2967"."2 -17.7019! $11 0.600000033

-2967"."2 -39"67.36 !1.37!2#6 %11 = -0.79999997"

222"6.6!2 2967"."21 -!.0E-01" $3 0

2967"."21 39"67.3"# 2#.097#27 %3 0

$11 -103#6.!296!

%11 = -3"610.626#

$3 103#6.!296!

%3 3"610.626#

$11 7019.279#3

%11 = 2!066

$3 -7019.279#3

%3 -2!066

MENGHITUNG GA$A DALAM

-222"6.6! 2967"."21 -17.7019! $# 0

2967"."21 -39"67.36 !1.37!2#6 %# = -1

222"6.6!2 -2967"."2 -36.77173 $3 0

-2967"."2 39"67.3"# 27."7##03 %3 0

$# 0

%# = 0

$3 0

%3 0

$# -2000

%# = 0

$3 2000

%3 0

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k

k

k

k

  ATANG 15 (NODE 11-3)

0.# 0 0 222"6.6!2 -2967"."2 -222"6.6! 2967"."21

0.6 0 0 -2967"."2 39"67.3"# 2967"."21 -39"67.36

0 0.6 0.# -222"6.6! 2967"."21222"6.6!2 -2967"."2

0 -0.# 0.6 2967"."21 -39"67.36 -2967"."2 39"67.3"#

13#!#."72 103#6.!3 -13#!#."7 -17.7019!

!7!#0.#32 3"610.627 -!7!#0.#3 !1.37!2#6

-13#!#."7 -103#6.!3 13#!#."72 -3!.!09#6

-!7!#0.#3 -3"610.63 !7!#0.#32 2#.336!92

k

k

k

k

  ATANG 16 (NODE 8-3)

1 0 0 0 0 0 0

0 0 0 0 3#6!0 0 -3#6!0

0 0 1 0 0 0 0

0 -1 0 0 -3#6!0 0 3#6!0

3#6!0 0 -3#6!0 -36.9#60!

0 0 0 2#.2#!732

-3#6!0 0 3#6!0 -3!.!09#6

0 0 0 2#.336!92

k

k

k

k

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$# -2000 k

%# = 0 k

$3 2000 k

%3 0 k

MENGHITUNG GA$A DALAM BATANG 17 (NODE 12-3)

-17.7019 $12 -0.6000000329 0.# 0 0

!1.37!3 %12 = -0.79999997"3 -0.6 0 0

-3!.!099 $3 0 0 -0.6 0.#

2#.336" %3 0 0 -0.# -0.6

$12 103#6.!296!3 13#!#."72 -103#6.!3 -13#!#."7

%12 = -3"610.626#0! -!7!#0.#3 3"610.627 !7!#0.#32

$3 -103#6.!296!3 -13#!#."7 103#6.!3 13#!#."72

%3 3"610.626#0! !7!#0.#32 -3"610.63 -!7!#0.#3

$12 !00#.2626!39 k

%12 = -137!3 k

$3 -!00#.2626!39 k

%3 137!3 k

MENGHITUNG GA$A DALAM BATANG 18 (NODE 12-4)

-36.9#6 $12 0.6000000329 0.# 0 0

2#.2#!73 %2 = -0.79999997"3 0.6 0 0

-3!.!099 $! 0 0 0.6 0.#

2#.336!9 %! 0 0 -0.# 0.6

$12 -103#6.!296!3 13#!#."72 103#6.!3 -13#!#."7

%2 = -3"610.626#0! !7!#0.#32 3"610.627 -!7!#0.#3

$! 103#6.!296!3 -13#!#."7 -103#6.!3 13#!#."72

%! 3"610.626#0! -!7!#0.#3 -3"610.63 !7!#0.#32

$12 0 k

%2 = 0 k

$! 0 k

%! 0 k

8/19/2019 Anstruk No 3

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$12

%2

$!

%!

MENGHIT

222"6.6!2 2967"."21 -222"6.6! -2967"."2 -3!.67327!3 $12

2967"."21 39"67.3"# -2967"."2 -39"67.36 2#.#23!912 %12

-222"6.6! -2967"."2 222"6.6!2 2967"."21 -3!.!09#""# $7

-2967"."2 -39"67.36 2967"."21 39"67.3"# 2#.336!922 %7

-3!.67327 $12

2#.#23!91 %12

-3!.!09#6 $7

2#.336!92 %7

$12

%12

$7

%7

MENGHIT

222"6.6!2 -2967"."2 -222"6.6! 2967"."21 -3!.67327!3 $7

-2967"."2 39"67.3"# 2967"."21 -39"67.36 2#.#23!912 %7

-222"6.6! 2967"."21 222"6.6!2 -2967"."2 -31.293#90 $!

2967"."21 -39"67.36 -2967"."2 39"67.3"# 31.3"#029 %!

-3!.67327 $7

2#.#23!91 %7

-31.293#9 $!

31.3"#029 %!

$7

%7

$!

%!

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0 k

= 0 k

0 k

0 k

NG GA$A DALAM BATANG 19 (NODE 12-7)

0.6000000329 -0.# 0 0 222"6.6!2 2967"."21

= 0.79999997"3 0.6 0 0 2967"."21 39"67.3"#

0 0 0.6 -0.# -222"6.6! -2967"."2

0 0 0.# 0.6 -2967"."2 -39"67.36

-103#6.!296!3 -13#!#."7 103#6.!3 13#!#."72 -3!.67327

= 3"610.626#0! !7!#0.#32 -3"610.63 -!7!#0.#3 2#.#23!91

103#6.!296!3 13#!#."72 -103#6.!3 -13#!#."7 -37.20036

-3"610.626#0! -!7!#0.#3 3"610.627 !7!#0.#32 31.00#23#

!00#.2626!39 k

= -137!3 k

-!00#.2626!39 k

137!3 k

NG GA$A DALAM BATANG 20 (NODE 7-4)

0 1 0 0 0 0

= -1 0 0 0 0 3#6!0

0 0 0 1 0 0

0 0 -1 0 0 -3#6!0

0 3#6!0 0 -3#6!0 -37.20036

= 0 0 0 0 31.00#23#

0 -3#6!0 0 3#6!0 -31.293#9

0 0 0 0 31.3"#029

-13"16 k

= 0 k

13"16 k

0 k

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$7 -13"1".9!

%7 = 0

$! 13"1".939

%! 0

MENGHITUNG GA$A DAL

-222"6.6! -2967"."2 -3!.67327!26 $6 -0.6

-2967"."2 -39"67.36 2#.#23!911#9 %6 = -0.#

222"6.6!2 2967"."21 -37.2003"62# $! 0

2967"."21 39"67.3"# 31.00#2379"9 %! 0

$6 103#6.!3

%6 = -3"610.63

$! -103#6.!3

%! 3"610.627

$6 "0"6.20"7

%6 = -17336

$! -"0"6.206

%! 17336

0 0 -37.2003"62#

0 -3#6!0 31.00#2379"9

0 0 -31.293#903!

0 3#6!0 31.3"#0293!7

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k

k

k

k

M BATANG 21 (NODE 6-4)

0.# 0 0 222"6.6!2 2967"."21 -222"6.6! -2967"."2

-0.6 0 0 2967"."21 39"67.3"# -2967"."2 -39"67.36

0 -0.6 0.# -222"6.6! -2967"."2 222"6.6!22967"."21

0 -0.# -0.6 -2967"."2 -39"67.36 2967"."21 39"67.3"#

13#!#."72 -103#6.!3 -13#!#."7 -33.73"7"

-!7!#0.#3 3"610.627 !7!#0.#32 33.""!"33

-13#!#."7 103#6.!3 13#!#."72 -31.293#9

!7!#0.#32 -3"610.63 -!7!#0.#3 31.3"#029

k

k

k

k

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-33.73"7"261

33.""!"32#6

-31.293#903!

31.3"#0293!7

8/19/2019 Anstruk No 3

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,tn Tkn

1 2 3 4 5 6 7

0.000 0.000 0.000 0.000 722.31" 110!1.319

0.000 0.000 912!.763 -6197.#"9 2!76."09 0.000

0.000 230"".090 0.000 0.000 0.000 -722.31"

0.000 0.000 -912!.763 6197.#"9 17"11."6# -2!76."09 0.000

R%&' G'' B'*'+,

N. B'*'+, G'' K%*%/'+,'+

1   0.00 ,tn Tkn2   -230"".09 ,tn Tkn

3   0.00 ,tn Tik

!   0.00 ,tn Tik

"   0.00 ,tn Tik

6   722.31 ,tn Tik

7   110!1.32 ,tn Tkn

#   110!1.32 ,tn Tkn

9   0.00 ,tn Tik

10   0.00 ,tn Tik

11   0.00 -

12   -200"".09 ,tn Tkn13   0.00 -

1!   7019.2# ,tn Tkn

1"   7019.2# ,tn Tkn

16   -2000.00 ,tn Tik

17   !00#.26 ,tn Tik

1#   0.00 -

19   !00#.26 ,tn Tik

20   -13"1".9! ,tn Tkn

21   "0"6.21 -

8/19/2019 Anstruk No 3

61/62

REKAPITULASI GA$A - GA$A BATANG

8 9 10 11 12 13 14 15

110!1.319 0.000 0.000 0.000 0.000 7019.2#0 7019.2#0

0.000 0.000 0.000 0.000 0.000 0.000 2!066.110 2!066.110

0.000 0.000 0.000 200"".090 0.000 -7019.2#0 -7019.2#0

0.000 0.000 0.000 0.000 0.000 0.000

8/19/2019 Anstruk No 3

62/62

16 17 18 19 20 21

-2000.000 !00#.263 0.000 !00#.263 "0"6.206

0.000 0.000 0.000

2000.000 -!00#.263 0.000 -!00#.263 13"1".939 -"0"6.206

0.000 137!2.619 0.000 137!2.619 0.000 1733"."6#