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penyelesaian mencari gaya gaya batang menggunakan metode ritter
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Tugas Besar Anstruk Metode Ritter
No. 3) P1=4t P2=7t P3=8t
3m
RA RB
4x3m
Mencari Reaksi
∑MB=0
RA.12m - 4t.9m - 7t.6m - 8t.3m=0
RA = 36 tm+42 tm+24 tm
12m = 102tm12m = 8.5 t
∑MA=0 Tabel Reaksi
RB.12m - 8t.9m – 7t.6m - 8t.3m=0
RB = 72tm+42tm+12tm
12m = 126 tm12m = 10,5 t
Mencari Gaya Batang
Potongan I (pandang Kiri Potongan)
F Jarak S5 - C ∑MF=0
Sin 450 = x3 S1 = 8.5 t (Tarik)
x x = Sin 450 . 3m
BA D E2 3 4C1
5 6 7 8 9 10 11
H13G12F
D
Reaksi di titik Reaksi (ton)A 8,5 tB 10,5 t
A C = 2.1213034m
∑MC = 0
S5= -12.020815 (tekan)
Potongan III (Pandang Kiri Potongan)
P1=4t ∑MC=0
S12.3m + RA.3m = 0
S12 = -RA
S12 = -8.5 t (Tekan)
∑MF = 0
-S7.2,1213034m - S2.3m + RA.3m = 0
S7 = −13 t .3m+8,5t .3m2.1213034m = - 6.364011862 (tekan)
∑MG = 0
-P1.3m + RA.6m – S2.3m = 0
S2 = −4.3m+8.5 .6m
3m = 13t (tarik)
Potongan II (Pandang Kiri Potongan)
∑MA = 0
S6.3m - S7. 2,1213034m = 0
S6 = 6.364011862 t .2,1213034m
3m
S6 = 4,5t
GF
CA D
7
2
12
RA
2
CA
F
76
D
G5
RA
5
Potongan IV (Pandang Kiri Potongan)
∑MG = 0
- S3.3m – P1.3m + RA.6m = 0
S3 = −4 t .3m+8,5 t .6m
3m = 13t
(Tarik)
∑MC = 0
-S8.3m+RA.3m-S12.3m=0
S8=8,5 t .3m−8,5 t .3m
3m = 0 t
Potongan V (Pandang Kiri Potongan)
∑ME = 0
S13.3m + RA.9m – P1.6m – P2.3m=0
S13 = −8.5 t .9m+4 t .6m+7 t .3m
3m
S13 = -10.5t (Tekan)
∑MH = 0
-S9. 2,12m-S3.3m-P2.3m-P1.6m+RA.9m=0
S9=−13 t .3m−7 t .3m−4 t .6m+8,5 t .9m
2,1213034m
S9 = -3,535562145t (tekan)
RA
A
F G
D
7
83
12
P1=4t
EC
C
P1=4t
D
RA
A 3
GF H
E
P2=7t
9
13
13
10
4
P2=7tP1=4t
RA
A
C D E
Potongan VI (Pandang Kiri Potongan)
∑MH = 0
-S4.3m – P2.3m – P1.6m + RA.9m = 0
S4 = – 7 t .3m– 4 t .6m+8.5 t .9m
3m = 10,5t (tarik)
∑MG = 0
-S10.3m + RA.6m – P1.3m – S4.3m = 0
S10 = 8.5 t .6m– 4 t .3m –10,5.3m
3m = 2.5t (Tarik)
GF H
B
G H13
P2=7tP1=4t
RA
A
C D E
B
P3=8t
Potongan VII (Pandang Kiri Potongan)
∑ME = 0
S11.2,1213034m + RA.9m – P1.6m – P2.3m = 0
S11 = −8,5 t .9m+4 t .6m+7 t .3m
2,1213034m = -14,8496101t (Tekan)
Tabel Gaya Batang
No Batang Gaya Batang (TON)1 8.5 t2 13 t3 13t4 10,5 t5 -12.020815 t6 4,5 t7 - 6.364011862 t8 0 t9 -3,535562145 t
10 2.5 t11 -14,8496101 t12 -8.5 t
11
F
10
4
13 -10.5 t