mg 15 latihan soal rangka batang

8/21/2019 Mg 15 Latihan Soal Rangka Batang

1/20

SOAL


2/20

SOAL 1 MA = 0

10 . 3 – 4 . 3 - RBv.4 = 0

30 – 12 – 4 RBv = 0 RBv = 18/4 RBV = 4,5 Ton

MB = 0

RAv. 4 – 10 . 1 – 4 . 3 = 04 RAv – 10 - 12 = 0 RAv = 22/4 RAv = 5,5 Ton

MS = 0 … (bagan A-S!

- RA". 5 – RAv . 2= 0

- 5 RA" – 5,5 . 2 = 0 RA" = 11/5 RA" = 2,2 Ton

MS = 0 … (bagan B-S!

10 . 1 # 4 . 2 – RBv . 2 – RB" . 5 = 0

10 # 8 – 4,5 . 2 – 5 RB" = 0 RB" = $/5 RB" = 1,8 Ton


3/20

%ag&a' B%RAv = 5,5 Ton

RA" = 2,2 Ton

RBv = 4,5 Ton

RB" = 1,8 Ton


4/20

%ag&a' S%S% ) **+

A = RA" = -2,2 Ton

1 = -2,2 Ton

2 = RAv = 5,5 Ton

S = 5,5 Ton

1 = 5,5 Ton

2 = 5,5 – 10 = - 4,5 Ton

2 = 5,5 – 10 = - 4,5 Ton

%1 = - 4,5 Ton

%2 = 2,2 Ton

1 = 2,2, Ton

2 = 2,2 – 4 = - 1,8 Ton

B = -1,8 # RB" = 0


5/20

%ag&a' % % a)a ba*ang

A- = RAv = 5,5 Ton (*+an!

-% = RA" = 2,2 Ton (*+an!

%-B = RBv = 4,5 Ton (*+an!


6/20

%ag&a' BM%

Mo'n a)a **+

A = B = S = 0

= - RA". 5 = - 2,2 . 5 = -11 T'

% = - RA". 5 # RAv . 3 = -2,2 . 5 # 5,5 . 3 = 5,5 T'

= - (4 . 2 – 1,8 . 5! = -8 # $ = 1 T'

= - (- 1,8 . 3 ! = 5,4 T'


7/20

SOAL 2 MA = 0

(3.2.1! – (2.2.3! - RBv.4 = 0

– 12 - 4 RBv = 0 RBv = -/4 RBv = -1,5 Ton

MB = 0

RAv. 4 – (3.2.3! – (2.2.3! = 0

4 RAv – 18 - 12 = 0 RAv = 30/4 RAv = ,5 Ton


- RA". 4 – RAv . 2= 0

- 4 RA" – ,5 . 2 – (3.2.1!= 0 RA" = $/4 RA" = 2,25 Ton


(2.2.1! # RBv . 2 # RB" . 4 = 0

4 # 1,5. 2 # 4 RB" = 0 RB" = / 4 RB" = 1,5 Ton


8/20

%ag&a' B%RAv = ,5 Ton

RA" = 2,25 Ton

RBv = 1,5 Ton

RB" = 1,5 Ton


9/20

%ag&a' S%S% ) **+

A = RA" = -2,25 Ton

1 = -2,25 Ton

2 = RAv = ,5 Ton

S = ,5 – (3.2!= 1,5 Ton

%1 = 1,5 Ton

%2 = 2,25 Ton

= 2,25 – (2.2! = -1,5 Ton

B = -1,5 # RB" = 0


10/20

%ag&a' % % a)a ba*angA- = RAv = ,5 Ton (*+an!

-% = RA" = 2,25 Ton (*+an!

%-B = RBv = 1,5 Ton (*a&+!


11/20

%ag&a' BM%

Mo'n a)a **+

A = B = S = 0

= - RA". 5 = - 2,25 . 4 = -$ T'

% = - RA". 4 # RAv . 4 – (3.2.3! = -$ # 30 – 18 = 3 T'

= - (-RB" . 2! = 1,5 . 2 = 3,5 T'


12/20

SOAL


13/20

MA = 0

(2.4.2) + 6.5 – 10.2 - RBv.4 = 0

16 + 30 - 20 – 4 RBv = 0

RBv = 26/4 RBv = 6,5 Ton

MB = 0

RAv. 4 – (2.4.2) + 6.1 – 10.2 = 0

4 RAv – 16 + 6 - 20 = 0

RAv = 30/4 RAv = 7,5 Ton

MS = 0 … (bagian A-S)

- RAh. 4 + RAv . 2 – (2.2.1) = 0

- 4 RAh + 7,5 . 2 – 4 = 0 RAh = 11/4 RAh = 2,75 Ton

MS = 0 … (bagian B-S)

(2.2.1) + 6.3 + 10.2 – RBv . 2 – RBh . 4 = 0

4 + 1 + 20 – 13 - 4 RBh = 0 RBh = 2!/4 RBh = 7,25 Ton


14/20

%ag&a' B%RAv = 7,5 "#n

RAh = 2,75 "#n

RBv = 6, 5"#n

RBh = 7,25 "#n


15/20

%ag&a' S%S$% &i 'i'i

A = RAh = -2,75 "#n*1 = -2,75 "#n

*2 = RAv = 7,5 "#n

S = 7,5 – (2.2)= 3,5 "#n

%1 = 3,5 – (2.2)

= -0,5 "#n

%2 = -0,5 +RBv = 6 "#n = 6 – 6 = 0 "#n

%3 = 2,75 "#n

$1 = 2,75 – 10 = -7,25 "#n

$2 = -7,25 "#n

B = -7,27 + 7,25 = 0


16/20

%ag&a' %$% a&a ba'angA-* = RAv = 7,5 "#n ('an)

*-% = RAh = 2,75 "#n ('an)

%-B = RBv = 6,5 "#n ('an)


17/20

%ag&a' BM%

M#n a&a 'i'i

A = B = = S = 0

* = - RAh. 5 = - 2,75 . 4 = -11 "

%1 = RAv.4 – RAh.4-(2.4.2) = 7,5 . 4 – 2,75 . 4 – 16 = 30 – 11 – 16 = 3 "

%2 = - (6.1) = -6 "

%3 = - (10.2 – 7,25 .4) = -20 + 2! = ! "$ = -(-RBh . 2) = -(-7.25 . 2) = 14,5 "


18/20

ORTAL MA = 0

. 3 # 10 . 3 - RBv.5 – RB" . 3 = 0

48 – 5 RBv – 3 RB" = 0 …..(&a'aan 1!


10 . 1 - RBv.3 # RB" . 2 = 0

10 – 3 RBv # 2 RB" = 0 …..(&a'aan 2!

MB = 0

. 0 - 10 . 2 # RAv.5 – RA" . 3 = 0

-20 # 5 RAv – 3 RA" = 0 …..(&a'aan 3!


- . 2 # RAv.2 - RA" . 5 = 0

-12 # 2 RAv - 5 RA" = 0 …..(&a'aan 4!


19/20

48 – 5 RBv – 3 RB" = 0 …..(&a'aan 1!

10 – 3 RBv # 2 RB" = 0 …..(&a'aan 2!

-20 # 5 RAv – 3 RA" = 0 …..(&a'aan 3!

-12 # 2 RAv - 5 RA" = 0 …..(&a'aan 4!

$ – 10 RBv - RB" = 0 … ( 6 2!

30 – $ RBv # RB" = 0 … ( 6 3!

12 – 1$ RBv = 0 RBv = 12/1$ = ,32

10 – 3 RBv # 2 RB" = 0 …..(&a'aan 2!

10 – 3 . ,32 # 2 RB" = 010 – 1$,8$ # 2 RB" = 0

RB" = $,8$/2 = 4,$48

-100 # 25 RAv – 15 RA" = 0 …..( 6 5 !

-3 # RAv - 15 RA" = 0 …. ( 6 3 !

-4 # 1$ RAv = 0 RAv = 4/1$ = 3,38

-12 # 2 RAv - 5 RA" = 0 …..(&a'aan 4!

-12 # 2 . 3,38 – 5 RA" = 0-12 # ,3 – 5 RA" = 0

RA" = 5,24/5 = - 1,052


20/20

mg 15 latihan soal rangka batang

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