4000 KG Q3 =2000 KG Q4 =

Q5 =5

3 5

Y tdk= 0 Y tdk= 0X = 0

X tdk= 0

{k}I AE/L 0 -AE/L 00 0 0 0

-AE/L 0 AE/L 00 0 0 0

BATANG AC L = 3.5 M

[kAC]I = AE 0.285714 0 -0.285714 00 0 0 0

-0.285714 0 0.285714 00 0 0 0

BATANG CD L = 5 M

[kCD]I = AE 0.2 0 -0.2 00 0 0 0

-0.2 0 0.2 00 0 0 0

BATANG DB L = 3.5 M

1

2

3

4

1

2

7

8

3

7

8

4

3

4

7

8

[kDB]I= 0.285714 0 -0.285714 0AE 0 0 0 0

-0.285714 0 0.285714 00 0 0 0

BATANG AB L = 5 M

[kAB]I= 0.2 0 -0.2 0AE 0 0 0 0

-0.2 0 0.2 00 0 0 0

BATANG CB L = 3.5 M

[kCB]I= 0.285714 0 -0.285714 0AE 0 0 0 0

-0.285714 0 0.285714 00 0 0 0

MENYUSUN MATRIKS TRANSFORMASI, [T]

[T] = COS a SIN a 0 0-SIN a COS a 0 0

0 0 COS a SIN a0 0 -SIN a COS a

BATANG X Y r ALFA SIN a COS aAC 5 2.5 5 26.56505 0.6 0.8CD 5 0 0 0 0 1DB -5 -2.5 5 26.56505 -0.6 -0.8CB 5 -2.5 3 -26.56505 -1 0AB 5 0 4 0 0 1

MATRIKS TRANSFORMASI

BATANG ACSIN a = 0.4 COS a = 0.9

[TAC] = 0.9 0.4 0 0-0.4 0.9 0 0

0 0 0.9 0.40 0 -0.4 0.9

BATANG CDSIN a = 0 COS a = 1

[TCD] = 1 0 0 00 1 0 00 0 1 00 0 0 1

BATANG DBSIN a = -0.4 COS a = 0.9

[TDB] = 0.9 -0.4 0 00.4 0.9 0 0

0 0 0.9 -0.40 0 0.4 0.9

BATANG CBSIN a = 0.4 COS a = -0.9

[TCB] = -0.9 0.4 0 0-0.4 -0.9 0 0

0 0 -0.9 0.40 0 -0.4 -0.9

BATANG ABSIN a = 0 COS a = 1

[TAB] = 1 0 0 00 1 0 00 0 1 00 0 0 1

[k]s = [T]T*[k]I*[T]

[kAC] = [TAC]T*[kAC]*[TAC]

[kAC] = 0.9 0.4 0 0 0.285714-0.4 0.9 0 0 0

0 0 0.9 0.4 -0.2857140 0 -0.4 0.9 0

[kAC] = 0.257143 0 -0.257143 0 0.9-0.114286 0 0.114286 0 -0.4-0.257143 0 0.257143 0 00.114286 0 -0.114286 0 0

1 2 3 4[kAC] = 0.231429 0.102857 -0.231429 -0.102857 1

-0.102857 -0.045714 0.102857 0.045714 2-0.231429 -0.102857 0.231429 0.102857 30.102857 0.045714 -0.102857 -0.045714 4

[kCD] = [TCD]T*[kCD]*[TCD]

[kCD] = 1 0 0 0 0.250 1 0 0 00 0 1 0 -0.250 0 0 1 0

[kCD] = 0.25 0 -0.25 0 10 0 0 0 0

-0.25 0 0.25 0 00 0 0 0 0

3 4 5 6[kCD] = 0.25 0 -0.25 0 3

0 0 0 0 4-0.25 0 0.25 0 5

0 0 0 0 6

[kDB] = [TDB]T*[kDB]*[TDB]

[kDB] = -0.8 0.6 0 0 0.285714-0.6 -0.8 0 0 0

0 0 -0.8 0.6 -0.2857140 0 -0.6 -0.8 0

[kDB] = -0.228571 0 0.228571 0 0.9-0.171429 0 0.171429 0 0.40.228571 0 -0.228571 0 00.171429 0 -0.171429 0 0

5 6 7 8[kDB] = -0.205714 0.091429 0.205714 -0.091429 5

-0.154286 0.068571 0.154286 -0.068571 60.205714 -0.091429 -0.205714 0.091429 70.154286 -0.068571 -0.154286 0.068571 8

[kCB] = [TCB]T*[kCB]*[TCB]

[kCB] = 0 1 0 0 0.285714-1 0 0 0 00 0 0 1 -0.2857140 0 -1 0 0

[kCB] = 0.285714 0 -0.285714 0 -0.90 0 0 0 -0.4

-0.285714 0 0.285714 0 00 0 0 0 0

3 4 7 8[kCB] = -0.257143 0.114286 0.257143 -0.114286 3

0 0 0 0 40.257143 -0.114286 -0.257143 0.114286 7

0 0 0 0 8

[kAB] = [TAB]T*[kAB]*[TAB]

[kAB] = 1 0 0 0 0.250 1 0 0 00 0 1 0 -0.250 0 0 1 0

[kAB] = 1 0 0 0 0.20 1 0 0 00 0 1 0 -0.20 0 0 1 0

1 2 7 8[kAB] = 0.2 0 -0.2 0 1

0 0 0 0 2-0.2 0 0.2 0 7

0 0 0 0 8

MATRIKS KEKAKUAN STRUKTUR, [K]

1 2 3 4 5 6[kAC]s = 0.231429 0.102857 -0.231429 -0.102857 0 0

-0.102857 -0.045714 0.102857 0.045714 0 0-0.231429 -0.102857 0.231429 0.102857 0 00.102857 0.045714 -0.102857 -0.045714 0 0

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

1 2 3 4 5 6[kCD]s = 0 0 0 0 0 0

0 0 0 0 0 00 0 0.25 0 -0.25 00 0 0 0 0 00 0 -0.25 0 0.25 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

1 2 3 4 5 6[kDB]s = 0 0 0 0 0 0

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 -0.205714 0.0914290 0 0 0 -0.154286 0.0685710 0 0 0 0.205714 -0.0914290 0 0 0 0.154286 -0.068571

1 2 3 4 5 6[kCB]s = 0 0 0 0 0 0

0 0 0 0 0 00 0 -0.257143 0.114286 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0.257143 -0.114286 0 00 0 0 0 0 0

1 2 3 4 5 6[kAB]s = 0.2 0 0 0 0 0

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

-0.2 0 0 0 0 00 0 0 0 0 0

1 2 3 4 5 6[K] = 0.43 0.10 -0.23 -0.10 0.00 0.00

-0.10 -0.05 0.10 0.05 0.00 0.00-0.23 -0.10 0.22 0.22 -0.25 0.000.10 0.05 -0.10 -0.05 0.00 0.000.00 0.00 -0.25 0.00 0.04 0.090.00 0.00 0.00 0.00 -0.15 0.07

-0.20 0.00 0.26 -0.11 0.21 -0.090.00 0.00 0.00 0.00 0.15 -0.07

[K] = 3 4 5 1 2 6-0.23 -0.10 0.000.10 0.05 0.000.22 0.22 -0.25

-0.10 -0.05 0.00-0.25 0.00 0.040.00 0.00 -0.150.26 -0.11 0.210.00 0.00 0.15

Qf = Kff x Df

Q3 = -0.23 -0.10 0.00 D3Q4 0.096 0.405333 0 D4Q5 -0.25 0 0.378 D5

-1500 = -0.23 -0.10 0.000 0.096 0.405333 0

-1500 -0.25 0 0.378

D3 = -4.829339 -1.22549 0 -1500D4 1.143791 2.757353 0 0D5 -3.194007 -0.810509 2.645503 -1500

BATANG AC

DI = TAC*DFD1 0.9 0.4 0 0D2 = -0.4 0.9 0 0 xD3 0 0 0.9 0.4D4 0 0 -0.4 0.9

Qi = [kAc]i*DiQ1 0.285714 0 -0.285714 0Q2 = 0 0 0 0 xQ3 -0.285714 0 0.285714 0Q4 0 0 0 0

BATANG AC

DI = TAC*DFD1 0 0 0 0D2 = 0 0 0 0 xD3 SIN a = -0.4 COS a = 0.9D4 0 0 0 0

Qi = [kAc]i*DiQ1 0 0 0 0Q2 = 0.285714 0 -0.285714 0 xQ3 0 0 0 0Q4 -0.285714 0 0.285714 0

BATANG AC

DI = TAC*DFD1 0 0 -0.9 0.4D2 = 0 0 -0.4 -0.9 xD3 0 0 0 0D4 0 0 0 0

Qi = [kAc]i*DiQ1 0 L = 3.5 MQ2 = 0 0 0 0 xQ3 0.285714 0 -0.285714 0Q4 0 0 0 0

BATANG AC

DI = TAC*DFD1 0 0 0 0D2 = 0 0 0 0 xD3 0 0 0 0D4 0 0 0 0

Qi = [kAc]i*DiQ1 Y r ALFA SIN aQ2 = 2.5 5 26.56505 0.6 x

Q3 0 0 0 0Q4 -2.5 5 26.56505 -0.6

BATANG AC

DI = TAC*DFD1 0 0 0 0D2 = 1 2 3 4 xD3 0.231429 0.102857 -0.231429 -0.102857D4 -0.102857 -0.045714 0.102857 0.045714

Qi = [kAc]i*DiQ1 0 -0.4 0.9 0Q2 = 0 0 0 0 xQ3 0 0 0 0Q4 0 0 0 0

2000 KG-4000 KG

0

C D5

5

A B1

2

3

6

15

7

8

4

6

56

5

SIN a = 0.121869

ALFA SIN A COS A26.56505#NAME?

0 -0.285714 0 0.8 0.6 0 00 0 0 -0.6 0.8 0 00 0.285714 0 0 0 0.8 0.60 0 0 0 0 -0.6 0.8

0.4 0 00.9 0 0

0 0.9 0.40 -0.4 0.9

0 -0.25 0 1 0 0 00 0 0 0 1 0 00 0.25 0 0 0 1 00 0 0 0 0 0 1

0 0 01 0 00 1 00 0 1

0 -0.285714 0 -0.8 -0.6 0 00 0 0 0.6 -0.8 0 00 0.285714 0 0 0 -0.8 -0.60 0 0 0 0 0.6 -0.8

-0.4 0 00.9 0 0

0 0.9 -0.40 0.4 0.9

0 -0.285714 0 0 -1 0 00 0 0 1 0 0 00 0.285714 0 0 0 0 -10 0 0 0 0 1 0

0.4 0 0-0.9 0 0

0 -0.9 0.40 -0.4 -0.9

0 -0.25 0 1 0 0 00 0 0 0 1 0 00 0.25 0 0 0 1 00 0 0 0 0 0 1

0 -0.2 00 0 00 0.2 00 0 0

7 80 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 8

7 80 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 8

7 80 0 10 0 20 0 30 0 4

0.205714 -0.091429 50.154286 -0.068571 6

-0.205714 0.091429 7-0.154286 0.068571 8

7 80 0 10 0 2

0.257143 -0.114286 30 0 40 0 50 0 6

-0.257143 0.114286 70 0 8

7 8-0.2 0 1

0 0 20 0 30 0 40 0 50 0 6

0.2 0 70 0 8

7 8-0.20 0.00 10.00 0.00 20.26 -0.11 30.00 0.00 40.21 -0.09 50.15 -0.07 6

-0.26 0.21 7-0.15 0.07 8

7 834512678

7244.009 D3= -1715.686 D4

822.7571 D5

0 00 = 0

7244.009 5833.333-1715.686 -4441.721

0 -2069.7170 = 0

7244.009 2069.717-1715.686 0

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#VALUE! #VALUE!#VALUE! = #VALUE!

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0 #VALUE!0 = #VALUE!

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