Mektek 3 Metode Distribusi Momen

Tugas Mekanika Teknik

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Rumus yang digunakan

DFi =

k i

Σk j

i = elemen;

j = jo in t

Joint A, B, C (tump. jepit) (tump. jepit)

DFAD = 0

DFBE = 0

Joint D

ΣkD

= kDA + kDG + kDE DG DE = EI + 0.66667EI + 0.5EI = 2.16667EI

DF DA

=

DF DG

=

DF DE

=

kDA

ΣkD k DG

ΣkD k DE

Σk

=

EI

2.16667EI

= =

0.66667EI 2.16667EI 0.5EI 2.16667EI

DFCF = 0

= 0.46154 = 0.30769 = 0.23077









Joint G

Joint H

ΣkG

= kDG + k GH = 0.66 0.6666 667 7EI + 0.33 0.3333 333 3EI = EI

DF GD

=

DF GH

=

k GH

=

0.33333EI

ΣkH

= 0.33333 ΣkG EI = kEH + kGH + kHI GH HI = 0.66667EI + 0.33333EI + 0.14286EI = 1.14286EI

DF HE

=

kEH

=

0.66667EI

k DG

ΣkG

ΣkG k

=

0.66667EI EI

1.14286EI 0.33333EI

= 0.66667

= 0.58333









‐

‐

2

MoEF = −

qL

MoFE = +

qL

=−

12 2

12

( 5) (7)

2

12

=+

( 5) (7) 12

= − 20.41667tm

= + 20.41667tm

2









MoAD = MoDA = −

6 ( EI ) AD Δ1 2

L

=−

6 ( 4EI ) Δ1 4

2

= − 1.5EIΔ 1









































Pergoyangan terjadi pada arah DEF (arah 1) dan arah GHI (arah 2), sehingga gaya‐ gaya yang sepadan dengan arah pergoyangan tersebut diperhitungkan untuk nilai Δ1 dan Δ2. Gaya‐gaya horizontal sebagai reaksi yang terjadi akibat momen











Momen M DG =

Beban luar

Pergoyangan 1

Pergoyangan 2

1.99515

1.07698 * X1

‐0.70429

* X2

M GD =

3.04733

0.57826 * X1

‐0.49216

* X2

M EH =

3.50232

1.17129 * X1

‐0.84072

* X2

M HE =

‐0.69033

0.77131 * X1

‐0.66384

* X2

































































































































































































































SAP2000 v7.40 File: LUSTRIANA 10/25/10 16:43:23

Ton-m Units

PAGE 1

[email protected]

J O I N T JOINT

D I S P L A C E M E N T S LOAD

U1

U2

U3

R1

R2

R3

1

LOAD1

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

2

LOAD1

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

3

LOAD1

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

4

LOAD1

7.3244

0.0000

0.0000

0.0000

2.1854

0.0000

5

LOAD1

7.3244

0.0000

0.0000

0.0000

3.4999

0.0000

6

LOAD1

7.3244

0.0000

0.0000

0.0000

-1.3247

0.0000

7

LOAD1

14.4481

0.0000

0.0000

0.0000

2.5336

0.0000

8

LOAD1

14.4481

0.0000

0.0000

0.0000

0.0748

0.0000

9

LOAD1

14.4481

0.0000

0.0000

0.0000

2.4829

0.0000










Ton-m Units

PAGE 2

[email protected]

J O I N T JOINT

R E A C T I O N S LOAD

F1

F2

F3

M1

M2

M3

1

LOAD1

-2.2152

0.0000

3.4323

0.0000

-6.6158

0.0000

2

LOAD1

-0.3044

0.0000

31.5403

0.0000

-4.9836

0.0000

3

LOAD1

-7.4804

0 .0000

19.0274

0. 0000

-13.6361

0.0000










Ton-m Units

PAGE 3

[email protected]

F R A M E FRAME 1

2

3

4

E L E M E N T LOAD

F O R C E S

LOC

P

V2

V3

T

M2

M3

0.00 2.00 4.00

-3.43 -3.43 -3.43

2.22 2.22 2.22

0.00 0.00 0.00

0.00 0.00 0.00

0.00 0.00 0.00

6.62 2.19 -2.25

0.00 2.00 4.00

-31.54 -31.54 -31.54

3.044E-01 3.044E-01 3.044E-01

0.00 0.00 0.00

0.00 0.00 0.00

0.00 0.00 0.00

4.98 4.37 3.77

0.00 2.00 4.00

-19.03 -19.03 -19.03

7.48 7.48 7.48

0.00 0.00 0.00

0.00 0.00 0.00

0.00 0.00 0.00

13.64 -1.32 -16.29

0.00 1.50 3.00

-1.83 -1.83 -1.83

4.013E-02 4.013E-02 4.013E-02

0.00 0.00 0.00

0.00 0.00 0.00

0.00 0.00 0.00

2.923E-01 2.321E-01 1.719E-01

LOAD1

LOAD1

LOAD1

LOAD1









SAP2000

10/25/10 16:33:46











SAP2000

10/25/10 16:37:28













SAP2000

10/25/10 16:38:02











SAP2000

10/25/10 16:38:29

Mektek 3 Metode Distribusi Momen

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