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8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
1/24
A B
P
RA RBL/2L/2
L
A B
P
L
L/2L/2
Diketahui :
Ditanya: Hitung dan gambar bidang-bidang gaya dalam.
Penyelesaian : Misalkan arah reaksi perletakan RAdan RBke atas.
MENGHITUNG REAKSI PERLETAKAN:
Jumlah momen di titik A sama dengan nolMA= 0
()
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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Q
M
P
P
P+
-
+ PL
RA= P/2 RB= P/2L/2L/2
L
A B
P
C
MENGHITUNG GAYA-GAYA DALAM:
Bidang Gaya NormalNAC= 0
Bidang Gaya Lintang
Bidang MomenBagian AC (0 x 0,5 L) x ditinjau dari titik A ke C
persamaan linear
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
P
RA= bP/L RB= aP/L
Q
M
bP/L
aP/L
P+
-
+ Pab/L
ba
L
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
RA= qL/2 RB= qL/2
Q
M
qL/2
qL/2
+
-
B 1/8 qL2
L/2L/2
L
q
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
RA= 3/8 qL RB= 1/8 qL
Q
M
3/8 qL
1/8 qL
+
-
+ 1/16 qL2
L/2L/2
L
q
Mmax= 9/128 qL2
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
RA= M/L RB= M/L
Q
M
M/L M/L-
+b/L M
ba
L
M
- a/L M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
RA= M/L RB= M/L
Q
M
M/L M/L-
+M/2
L/2L/2
L
M
- M/2
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
RA= M/L RB= M/L
Q
M
M/L M/L-
+M
L
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
10/24
A B
RA= M/L RB= M/L
Q
M
M/L M/L-
-M
L
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
11/24
A B
RA= M/L RB= M/L
Q
M
M/L M/L+
-M
L
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
RA= M/L RB= M/L
Q
M
M/L M/L+
+ M
L
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
Q
M
0
+ M
L
MM
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
14/24
A B
Q
M
0
- M
L
MM
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
15/24
A B
RA= 2M/L RB= 2M/L
Q
M
2M/L 2M/L-
+M
L/2L/2
L
M
- M
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
16/24
A B
RA= 2M/L RB= 2M/L
Q
M
2M/L 2M/L+
+
M
L/2L/2
L
M
-
M
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
RA= P
Q
M
P P+
-PL
L
PPL
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
RA= qL
Q
M
qL +
- qL
2
L
q
qL2
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
19/24
A B
Q
M
0
-M
L
M M
M
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
20/24
A B
RB= P
Q
M
P-
-PL
L
P PL
P
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
21/24
A B
RB= qL
Q
M
qL-
- qL
2
L
qL2
q
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A B
Q
M
L
MM
M M+
0
( ) ( )
( ) ( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A C
P
RA= a/L P RB= (1+a/L) P
Q
M
a/L P a/L P
P+
-
- Pa
aL
B
P
( )
( )
8/13/2019 Mekanika Rekayasa - Reaksi Perletakan
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A C
q
RA= qa2/2L RB= qa
Q
M
qa2/2L qa
2/2L
+
-
- qa2
aL
B
qa
LinearParabola
( )
( )