Mek Rek Fira.xls
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P = No NIM (ton) P = No NIM (ton)
P = No NIM (ton)
q = No NIM (ton/m') A
q = No NIM (ton/m')
3EI
3EI C
8 m'
1.
2 m'
2 m'
2 m'
2 m'
8 m'
P1, P2, P3
=
1.00
ton
q1, q2
=
0.50
ton / m'
L A ke B
=
8.00
m'
P1 ke B (a1)
=
2.00
m'
L B ke C
=
8.00
m'
P1 ke C (b1)
=
6.00
m'
L C ke D
=
8.00
m'
P2 ke B (a2)
=
4.00
m'
P2 ke C (b2)
=
4.00
m'
P3 ke B (a3)
=
6.00
m'
P3 ke C (b3)
=
2.00
m'
Q ke A dan B
=
4.00
m'
Q ke C dan D
=
4.00
m'
Kekakuan A ke B
=
3.00
EI
Kekakuan B ke C
=
3.00
EI
Kekakuan C ke D
=
3.00
EI
D
3EI
B
FIXED END MOMEN (FEM) q = No NIM (ton/m')
q = No NIM (ton/m') A
A
3EI
B
3EI
B 8 m'
8 m'
FEM AB
=
FEM BA
=
1 12
-
q
1 12
P = No NIM (ton) P = No NIM (ton)
LAB²
=
q
LBA²
1 12
=
0.50
-
8.00
1 12
2
1
=
0.50
8.00
12
0.50
64.00
=
-
2
1 12
P = No NIM (ton) P = No NIM (ton)
P = No NIM (ton)
B
3EI B
=
2.67
ton. m'
0.50
64.00
P = No NIM (ton)
C
3EI
C 2 m'
2 m'
2 m'
2 m' 2 m'
6 m' 4 m'
4 m' 6 m'
FEM BC
=
=
=
P1
a1
b2²
LBC² 1.00
2.00
36.00
64.00 72.00 64.00
+
=
1.13
+
=
2.50
ton.m'
64.00 64.00 1.00
+
+
+ +
P2
a2
b2²
LBC² 1.00
4.00 64.00
24.00 64.00 0.38
16.00
+
+
P3
a3
b3
LBC² 1.00
6.00 64.00
4.00
2 m'
=
-2.67 ton. m'
FEM CB
P1
a1²
=
-
=
-
=
-
=
-
0.38
-
=
-
2.50
ton.m'
b1
-
LCB² 1.00
4.00
6.00
-
64.00 24.00 64.00
-
64.00
-
64.00 1.00
-
P2
a2²
b2
LCB² 1.00
16.00
4.00
64.00
P3
-
a3²
` b3
LCB² 1.00
-
36.00
` 2.00
64.00
72.00 64.00 1.13
q = No NIM (ton/m')
q = No NIM (ton/m')
C
D
3EI
D
3EI
C
8 m'
8 m'
2.
FEM CD
=
FEM DC
=
1 12
-
q
1 12
LCD²
=
q
LDC²
1 12
0.50
=
-
4.00
X
8.00
1 12
2
1
=
0.50
8.00
12
2
0.50
64.00
=
-
=
1 12
2.67
ton. m'
0.50
64.00
FAKTOR DISTRIBUSI (FD) KEKAKUAN (K) : K1
=
K2
=
K3
=
4.00
EI
L1
4.00
EI
L2
4.00
EI
L3
=
=
=
3.00
EI
=
8.00
4.00
X
3.00
EI
=
8.00
4.00
X
3.00
EI
=
8.00
12.00
EI
8.00
12.00
EI
8.00
12.00
EI
8.00
=
1.50
EI
=
1.50
EI
=
1.50
EI
=
0.50
FAKTOR DISTRIBUSI : TITIK A
: FD AB
=
FD BA
=
FD BC
=
FD CB
=
FD CD
=
FD DC
=
0.00
(Karena Jepit) K1
K1
+
K2
K2 K1
+
K2
K2 K2
+
K3
K3 K2 0.00
+
K3
(Karena Jepit)
=
=
=
=
1.50 1.50
+
1.50
1.50 1.50
+
1.50
1.50 1.50
+
1.50
1.50 1.50
+
1.50
=
=
=
=
1.50 3.00 1.50 3.00 1.50 3.00 1.50 3.00
1.00 =
0.50
=
0.50
=
0.50
1.00
=
-2.67 ton. m'
3.
MOMEN BALANCE A
B
C
AB
BA
BC
CB
CD
DC
FD
0.00
0.50
0.50
0.50
0.50
0.00
FEM
2.67
-2.67
2.50
2.50
2.67
-2.67
-0.17 S1
0.00
0.08
0.08
-2.58
-2.58
0.00
MB
0.04
0.00
-1.29
0.04
0.00
-1.29
2.71
-2.58
1.29
-0.04
0.08
-3.96
-1.29 0.00
0.65
0.65
-0.02
-0.02
0.00
MB
0.32
0.00
-0.01
0.32
0.00
-0.01
3.03
-1.94
1.93
0.26
0.06
-3.97
-0.01 0.00
0.01
0.01
-0.16
-0.16
0.00
MB
0.00
0.00
-0.08
0.00
0.00
-0.08
3.03
-1.93
1.85
0.10
-0.10
-4.05
-0.08 0.00
0.04
0.04
0.00
0.00
0.00
MB
0.02
0.00
0.00
0.02
0.00
0.00
3.05
-1.89
1.89
0.12
-0.10
-4.05
0.00 0.00
0.00
0.00
-0.01
-0.01
0.00
MB
0.00
0.00
-0.01
0.00
0.00
-0.01
3.05
-1.89
1.89
0.11
-0.11
-4.06
-0.01
0.00
MF
0.00
0.00
0.00
0.00
0.00
0.00
MB
0.00
0.00
0.00
0.00
0.00
0.00
3.06
-1.89
1.89
0.11
-0.11
-4.06
M.Ujung Batang
0.00 S7
0.02
MF
M.Ujung Batang
S6
0.00
MF
M.Ujung Batang
S5
0.32
MF
M.Ujung Batang
S4
0.04
MF
M.Ujung Batang
S3
5.17
MF
M.Ujung Batang
S2
D
0.00
MF
0.00
0.00
0.00
0.00
0.00
0.00
MB
0.00
0.00
0.00
0.00
0.00
0.00
3.06
-1.89
1.89
0.11
-0.11
-4.06
M.Ujung Batang
0.00
0.00
4.
FREEBODY
a.
Bentang A - B
q = No NIM (ton/m') A
MAB
=
LAB 3.06
=
8.00
-
-
=
0.38
-
VAB
=
2.15
ton
VBA
=
-
=
-
=
-
VBA
MAB LAB 3.06 8.00
=
+
+
0.38
+
1.85
ton
=
3.06
ton.m'
MBA
=
1.89
ton.m'
MBC
=
1.89
ton.m'
MCB
=
-0.11 ton.m'
MCD
=
-0.11 ton.m'
MDC
=
4.06
MAB
=
3.13
ton.m'
MBA
=
1.74
ton.m'
MBC
=
1.74
ton.m'
MCB
=
0.41
ton.m'
MCD
=
0.41
ton.m'
MDC
=
3.79
ton.m'
P2
b3
B
3EI
8 m'
VAB
MAB
MBA
+
1/2
q1
LAB
+
0.50
0.50
8.00
+
2.00
+
1/2
q1
LBA
+
0.50
0.50
8.00
0.24
+
2.00
LBA 1.89 8.00 0.24
MBA LBA 1.89 8.00
ton.m'
Cek : VAB 2.15
b.
+
VBA
-
Q
=
0.00
+
1.85
-
4.00
=
0.00
4.00
-
4.00
=
0.00
0.00
=
0.00
OK !!!!
Bentang B - C P = No NIM (ton) P = No NIM (ton)
B
P = No NIM (ton)
C
3EI
2 m'
6 m' 4 m'
4 m' 6 m'
VBC
MBC
=
LBC 1.74
=
8.00
-
-
=
0.22
-
VBC
=
1.67
ton
VCB
=
-
=
-
=
-
VCB
=
MBC LBC 1.74 8.00
+
+
0.22
+
1.33
ton
2 m'
MCB LCB 0.41 8.00 0.05
MCB LCB 0.41 8.00 0.05
+
+
P1 LBC 1.00
+ +
6.00
8.00
+
+
b1
0.75
P1 LBC
2.00
8.00 0.25
+
P2
+
+ +
b2 LBC
1.00
4.00
8.00
+
a1
1.00
+
0.50
P2 LBC
4.00
8.00 0.50
+ +
a2
1.00
+
+
+ +
LBC 1.00
2.00
8.00 0.25
P2
a3 LBC
1.00
6.00
8.00 0.75
Cek :
c.
VBC
+
VCB
-
P1
-
P2
-
P3
=
0.00
1.67
+
1.33
-
1.00
-
1.00
-
1.00
=
0.00
3.00
-
3.00
=
0.00
0.00
=
0.00
Bentang C - D
q = No NIM (ton/m') C
D
3EI
8 m'
VCD
MCD
=
LCD 0.41
=
8.00
-
-
=
0.05
-
VCD
=
1.58
ton
VDC
=
-
=
-
=
-
VDC
=
MCD LCD 0.41 8.00
+
+
0.05
+
2.42
ton
MDC
+
1/2
q2
LCD
+
0.50
0.50
8.00
+
2.00
+
1/2
q2
LCD
+
0.50
0.50
8.00
0.47
+
2.00
LDC 3.79 8.00 0.47
MDC LDC 3.79 8.00
Cek : VCD
+
VDC
-
Q2
=
0.00
1.58
+
2.42
-
4.00
=
0.00
4.00
-
4.00
=
0.00
0.00
=
0.00
OK !!!!
OK !!!!
MAB
=
3.13
ton.m'
MBA
=
1.74
ton.m'
MBC
=
1.74
ton.m'
MCB
=
0.41
ton.m'
MCD
=
0.41
ton.m'
MDC
=
3.79
ton.m'
5.
FREEBODY SECARA KESELURUHAN P = No NIM (ton) P = No NIM (ton)
P = No NIM (ton)
q = No NIM (ton/m') A
q = No NIM (ton/m') B
3EI
B
8 m'
VAB :
2.15
2 m'
VBA :
GAMBAR GAYA - GAYA DALAM
6.1
Bentang A - B
a.
Bentang A - B
0.00
Momen
≤
4 m'
≤
x
1.67
6 m'
2 m'
VAB
x
-
1/2
q
x²
-
MAB
MA
=
2.15
0.00
-
0.50
0.50
0.00
-
3.06
=
0.00
VAB
-
q
x
=
0.00
2.15
-
0.50
x
=
0.00
x
=
x
=
4.29
m
Mmax
=
2.15
Mx
=
0.00
VCD :
1.58
VDC :
VCB :
1.33
0.00
-
0.00
-
3.06
=
-3.06
ton.m
-
4.60
-
3.13
=
1.47
ton.m'
8.00
=
dx
D
3EI
8 m' 4 m'
Mx
dMx
C
6 m'
1.85 VBC :
6.
C
3EI
=
-2.15 -0.50
4.29
-
0.50
0.50
18.42
-
3.13
=
9.21
2.15
x
-
0.50
0.50
x²
-
3.13
=
0.00
2.15
x
-
0.25
x²
-
3.13
=
0.00
-0.25
x²
+
2.15
x
-
3.13
=
0.00
x1
=
1.83
m'
x2
=
6.85
m'
Persamaan Kuadrat
Mx
=
0.00
M1,83
=
2.15
1.83
-
0.50
0.50
3.34
-
3.13
=
3.92
-
0.83
-
3.13
=
0
ton.m'
M6,85
=
2.15
6.85
-
0.50
0.50
46.96
-
3.13
=
14.71
-
11.74
-
3.13
=
0
ton.m'
MA
=
-3.06
ton.m'
Mmax
=
1.47
ton.m'
MB
=
-1.74
ton.m'
Lintang Lx
=
VAB
-
q
x
LA
=
2.15
-
0.50
0.00
=
2.15
-
0.00
=
2.15
ton
L4
=
2.15
-
0.50
4.00
=
2.15
-
2.00
=
0.15
ton
LB
=
2.15
-
0.50
8.00
=
2.15
-
4.00
=
-1.85
ton
Lx
=
0.00
x
=
=
4.29
m'
Normal
2.15 0.50
2.42
Nx
=
6.2
Bentang B - C
a.
Bentang B - E
0.00
Tidak ada gaya horizontal yang bekerja
≤
0.00
x
P = No NIM (ton) P = No NIM (ton)
B
E
F
≤
2.00
P = No NIM (ton)
G
2 m'
C
6 m' 4 m'
4 m' 6 m'
2 m'
Momen Mx
=
VBC
x
-
MBC
MBC
=
1.67
0.00
-
1.74
=
0.00
-
1.74
=
-1.74
ton.m'
M1
=
1.67
1.00
-
1.74
=
1.67
-
1.74
=
-0.07
ton.m'
M2
=
1.67
2.00
-
1.74
=
3.33
-
1.74
=
1.59
ton.m'
Lx
=
VBC
MBC
=
1.67
ton
M1
=
1.67
ton
M2
=
1.67
ton
=
0.00
Lintang
Normal Nx
b.
Bentang E - F
Tidak ada gaya horizontal yang bekerja
2.00
Momen
≤
x
≤
4.00
Mx
=
VBC
x
-
P
x
-
2.00
-
MBC
M2
=
1.67
2.00
-
1.00
2.00
-
2.00
-
1.74
=
3.33
-
0.00
-
-1.74
=
5.07
ton.m'
M3
=
1.67
3.00
-
1.00
3.00
-
2.00
-
1.74
=
5.00
-
1.00
-
-1.74
=
5.73
ton.m'
M4
=
1.67
4.00
-
1.00
4.00
-
2.00
-
1.74
=
6.66
-
2.00
-
-1.74
=
6.40
ton.m'
Lx
=
VBC
-
P
L2
=
1.67
-
1.00
=
0.67
L3
=
L4
=
Lintang
b.
Bentang B - C
0.00
Momen
≤
x
≤
8.00
Mx
=
VBC
x
-
1/2
q
x²
-
MBC
MBC
=
1.67
0.00
-
0.50
0.50
0.00
-
1.74
=
0.00
1.67
-
q
x
=
0.00
-
0.50
x
=
-1.67
x
=
x
=
3.33
m
dMx dx
Mmax
=
1.67
Mx
=
0.00
=
0.00
-
0.00
-
1.74
=
-1.74
ton.m
-
2.77
-
1.74
=
1.04
ton.m'
ton.m'
-1.67 -0.50
3.33
-
0.50
0.50
11.10
-
1.74
=
5.55
1.67
x
-
0.50
0.50
x²
-
1.74
=
0.00
1.67
x
-
0.25
x²
-
1.74
=
0.00
-
0.25
x²
+
1.67
x
-
1.74
=
0.00
x1
=
1.68
m'
x2
=
7.00
m'
Mx
=
0.00
M1,85
=
1.67
1.68
-
0.50
0.50
2.82
-
1.74
=
2.80
-
0.71
-
1.74
=
0.35
M6,35
=
1.67
7.00
-
0.50
0.50
49.00
-
1.74
=
11.66
-
12.25
-
1.74
=
-2.33 ton.m'
MB
=
-1.74
ton.m'
Mmax
=
1.04
ton.m'
MC
=
0.41
ton.m'
Lintang Lx
=
VBC
-
q
x
LA
=
1.67
-
0.50
0.00
=
1.67
-
0.00
=
1.67
ton
L4
=
1.67
-
0.50
4.00
=
1.67
-
2.00
=
-0.33
ton
LB
=
1.67
-
0.50
8.00
=
1.67
-
4.00
=
-2.33
ton
Lx
=
0.00
x
=
=
3.33
m'
1.67 0.50
Normal Nx
c.
=
0.00
Bentang C - D
Tidak ada gaya horizontal yang bekerja
0.00
Momen Mx
≤
x
≤
3.00
=
VCD
x
-
MCD
MCD
=
1.58
0.00
-
0.41
=
0.00
-
0.41
=
-0.41
ton.m'
M3
=
1.58
3.00
-
0.41
=
4.73
-
0.41
=
4.32
ton.m'
Lx
=
VCD
LCD
=
1.58
ton
L3
=
1.58
ton\
=
0.00
Lintang
Normal Nx
Tidak ada gaya horizontal yang bekerja
3.00 Momen
≤
x
≤
8.00
Mx
=
VCD
x
-
MCD
-
P
x
-
3.00
M3
=
1.58
3.00
-
0.41
-
1.00
3.00
-
3.00
=
4.73
-
0.41
-
0.00
=
4.32
ton.m'
MDC
=
1.58
6.00
-
0.41
-
1.00
6.00
-
3.00
=
9.47
-
0.41
-
3.00
=
6.05
ton.m'
Lx
=
VCD
-
P
L3
=
1.58
-
1.00
=
0.58
ton
LDC
=
1.58
-
1.00
=
0.58
ton
=
0.00
Lintang
Normal Nx
Tidak ada gaya horizontal yang bekerja
FINAL
3.
MOMEN BALANCE
FD FEM
A AB 0 2.083
MF MB M.Ujung Batang
0.000 0.243 2.326
MF MB M.Ujung Batang
0.000 0.428 2.754
MF MB M.Ujung Batang
0.000 0.027 2.781
MF MB M.Ujung Batang
0.000 0.048 2.828
MF MB M.Ujung Batang
0.000 0.003 2.831
MF MB M.Ujung Batang
0.000 0.005 2.837
MF MB M.Ujung Batang
0.000 0.000 2.837
MF MB M.Ujung Batang
0.000 0.001 2.838
MF MB M.Ujung Batang
0.000 0.000 2.838
S1
S2
S3
S4
S5
S6
S7
S8
S9
S10
MF MB
0.000 0.000
B BA 0.333 -2.083 -1.458 0.486 0.000 -1.597 -2.571 0.856 0.000 -0.741 -0.162 0.054 0.000 -0.687 -0.286 0.095 0.000 -0.592 -0.018 0.006 0.000 -0.586 -0.032 0.011 0.000 -0.576 -0.002 0.001 0.000 -0.575 -0.004 0.001 0.000 -0.574 0.000 0.000 0.000 -0.574 0.000 0.000 0.000
M.Ujung Batang
2.838
-0.574 0.000
B BC 0.667 0.625 -1.458 0.972 -2.571 -0.973 -2.571 1.715 -0.162 0.579 -0.162 0.108 -0.286 0.402 -0.286 0.191 -0.018 0.574 -0.018 0.012 -0.032 0.554 -0.032 0.021 -0.002 0.574 -0.002 0.001 -0.004 0.571 -0.004 0.002 0.000 0.574 0.000 0.000 0.000 0.573 0.000 0.000 0.000
C CB CD 0.667 0.333 -0.625 8.333 7.708 -5.141 -2.567 0.486 0.000 -5.280 5.766 0.486 -0.324 -0.162 0.857 0.000 -4.747 5.604 0.857 -0.572 -0.285 0.054 0.000 -5.265 5.319 0.054 -0.036 -0.018 0.095 0.000 -5.205 5.301 0.095 -0.064 -0.032 0.006 0.000 -5.263 5.269 0.006 -0.004 -0.002 0.011 0.000 -5.256 5.267 0.011 -0.007 -0.004 0.001 0.000 -5.263 5.264 0.001 0.000 0.000 0.001 0.000 -5.262 5.263 0.001 -0.001 0.000 0.000 0.000 -5.263 5.263 0.000 0.000 0.000 0.000 0.000
0.574 0.000
-5.263 5.263 0.000
D DC 0 -8.333 0.000 -1.283 -9.616 0.000 -0.081 -9.697 0.000 -0.143 -9.840 0.000 -0.009 -9.849 0.000 -0.016 -9.865 0.000 -0.001 -9.866 0.000 -0.002 -9.868 0.000 0.000 -9.868 0.000 0.000 -9.868 0.000 0.000
-9.868
P = No NIM (ton)
q = No NIM (ton/m') A
q = No NIM (ton/m')
3EI
3EI C
8 m'
1.
2 m'
2 m'
2 m'
2 m'
8 m'
P1, P2, P3
=
1.00
ton
q1, q2
=
0.50
ton / m'
L A ke B
=
8.00
m'
P1 ke B (a1)
=
2.00
m'
L B ke C
=
8.00
m'
P1 ke C (b1)
=
6.00
m'
L C ke D
=
8.00
m'
P2 ke B (a2)
=
4.00
m'
P2 ke C (b2)
=
4.00
m'
P3 ke B (a3)
=
6.00
m'
P3 ke C (b3)
=
2.00
m'
Q ke A dan B
=
4.00
m'
Q ke C dan D
=
4.00
m'
Kekakuan A ke B
=
3.00
EI
Kekakuan B ke C
=
3.00
EI
Kekakuan C ke D
=
3.00
EI
D
3EI
B
FIXED END MOMEN (FEM) q = No NIM (ton/m')
q = No NIM (ton/m') A
A
3EI
B
3EI
B 8 m'
8 m'
FEM AB
=
FEM BA
=
1 12
-
q
1 12
P = No NIM (ton) P = No NIM (ton)
LAB²
=
q
LBA²
1 12
=
0.50
-
8.00
1 12
2
1
=
0.50
8.00
12
0.50
64.00
=
-
2
1 12
P = No NIM (ton) P = No NIM (ton)
P = No NIM (ton)
B
3EI B
=
2.67
ton. m'
0.50
64.00
P = No NIM (ton)
C
3EI
C 2 m'
2 m'
2 m'
2 m' 2 m'
6 m' 4 m'
4 m' 6 m'
FEM BC
=
=
=
P1
a1
b2²
LBC² 1.00
2.00
36.00
64.00 72.00 64.00
+
=
1.13
+
=
2.50
ton.m'
64.00 64.00 1.00
+
+
+ +
P2
a2
b2²
LBC² 1.00
4.00 64.00
24.00 64.00 0.38
16.00
+
+
P3
a3
b3
LBC² 1.00
6.00 64.00
4.00
2 m'
=
-2.67 ton. m'
FEM CB
P1
a1²
=
-
=
-
=
-
=
-
0.38
-
=
-
2.50
ton.m'
b1
-
LCB² 1.00
4.00
6.00
-
64.00 24.00 64.00
-
64.00
-
64.00 1.00
-
P2
a2²
b2
LCB² 1.00
16.00
4.00
64.00
P3
-
a3²
` b3
LCB² 1.00
-
36.00
` 2.00
64.00
72.00 64.00 1.13
q = No NIM (ton/m')
q = No NIM (ton/m')
C
D
3EI
D
3EI
C
8 m'
8 m'
2.
FEM CD
=
FEM DC
=
1 12
-
q
1 12
LCD²
=
q
LDC²
1 12
0.50
=
-
4.00
X
8.00
1 12
2
1
=
0.50
8.00
12
2
0.50
64.00
=
-
=
1 12
2.67
ton. m'
0.50
64.00
FAKTOR DISTRIBUSI (FD) KEKAKUAN (K) : K1
=
K2
=
K3
=
4.00
EI
L1
4.00
EI
L2
4.00
EI
L3
=
=
=
3.00
EI
=
8.00
4.00
X
3.00
EI
=
8.00
4.00
X
3.00
EI
=
8.00
12.00
EI
8.00
12.00
EI
8.00
12.00
EI
8.00
=
1.50
EI
=
1.50
EI
=
1.50
EI
=
0.50
FAKTOR DISTRIBUSI : TITIK A
: FD AB
=
FD BA
=
FD BC
=
FD CB
=
FD CD
=
FD DC
=
0.00
(Karena Jepit) K1
K1
+
K2
K2 K1
+
K2
K2 K2
+
K3
K3 K2 0.00
+
K3
(Karena Jepit)
=
=
=
=
1.50 1.50
+
1.50
1.50 1.50
+
1.50
1.50 1.50
+
1.50
1.50 1.50
+
1.50
=
=
=
=
1.50 3.00 1.50 3.00 1.50 3.00 1.50 3.00
1.00 =
0.50
=
0.50
=
0.50
1.00
=
-2.67 ton. m'
3.
MOMEN BALANCE A
B
C
AB
BA
BC
CB
CD
DC
FD
0.00
0.50
0.50
0.50
0.50
0.00
FEM
2.67
-2.67
2.50
2.50
2.67
-2.67
-0.17 S1
0.00
0.08
0.08
-2.58
-2.58
0.00
MB
0.04
0.00
-1.29
0.04
0.00
-1.29
2.71
-2.58
1.29
-0.04
0.08
-3.96
-1.29 0.00
0.65
0.65
-0.02
-0.02
0.00
MB
0.32
0.00
-0.01
0.32
0.00
-0.01
3.03
-1.94
1.93
0.26
0.06
-3.97
-0.01 0.00
0.01
0.01
-0.16
-0.16
0.00
MB
0.00
0.00
-0.08
0.00
0.00
-0.08
3.03
-1.93
1.85
0.10
-0.10
-4.05
-0.08 0.00
0.04
0.04
0.00
0.00
0.00
MB
0.02
0.00
0.00
0.02
0.00
0.00
3.05
-1.89
1.89
0.12
-0.10
-4.05
0.00 0.00
0.00
0.00
-0.01
-0.01
0.00
MB
0.00
0.00
-0.01
0.00
0.00
-0.01
3.05
-1.89
1.89
0.11
-0.11
-4.06
-0.01
0.00
MF
0.00
0.00
0.00
0.00
0.00
0.00
MB
0.00
0.00
0.00
0.00
0.00
0.00
3.06
-1.89
1.89
0.11
-0.11
-4.06
M.Ujung Batang
0.00 S7
0.02
MF
M.Ujung Batang
S6
0.00
MF
M.Ujung Batang
S5
0.32
MF
M.Ujung Batang
S4
0.04
MF
M.Ujung Batang
S3
5.17
MF
M.Ujung Batang
S2
D
0.00
MF
0.00
0.00
0.00
0.00
0.00
0.00
MB
0.00
0.00
0.00
0.00
0.00
0.00
3.06
-1.89
1.89
0.11
-0.11
-4.06
M.Ujung Batang
0.00
0.00
4.
FREEBODY
a.
Bentang A - B
q = No NIM (ton/m') A
MAB
=
LAB 3.06
=
8.00
-
-
=
0.38
-
VAB
=
2.15
ton
VBA
=
-
=
-
=
-
VBA
MAB LAB 3.06 8.00
=
+
+
0.38
+
1.85
ton
=
3.06
ton.m'
MBA
=
1.89
ton.m'
MBC
=
1.89
ton.m'
MCB
=
-0.11 ton.m'
MCD
=
-0.11 ton.m'
MDC
=
4.06
MAB
=
3.13
ton.m'
MBA
=
1.74
ton.m'
MBC
=
1.74
ton.m'
MCB
=
0.41
ton.m'
MCD
=
0.41
ton.m'
MDC
=
3.79
ton.m'
P2
b3
B
3EI
8 m'
VAB
MAB
MBA
+
1/2
q1
LAB
+
0.50
0.50
8.00
+
2.00
+
1/2
q1
LBA
+
0.50
0.50
8.00
0.24
+
2.00
LBA 1.89 8.00 0.24
MBA LBA 1.89 8.00
ton.m'
Cek : VAB 2.15
b.
+
VBA
-
Q
=
0.00
+
1.85
-
4.00
=
0.00
4.00
-
4.00
=
0.00
0.00
=
0.00
OK !!!!
Bentang B - C P = No NIM (ton) P = No NIM (ton)
B
P = No NIM (ton)
C
3EI
2 m'
6 m' 4 m'
4 m' 6 m'
VBC
MBC
=
LBC 1.74
=
8.00
-
-
=
0.22
-
VBC
=
1.67
ton
VCB
=
-
=
-
=
-
VCB
=
MBC LBC 1.74 8.00
+
+
0.22
+
1.33
ton
2 m'
MCB LCB 0.41 8.00 0.05
MCB LCB 0.41 8.00 0.05
+
+
P1 LBC 1.00
+ +
6.00
8.00
+
+
b1
0.75
P1 LBC
2.00
8.00 0.25
+
P2
+
+ +
b2 LBC
1.00
4.00
8.00
+
a1
1.00
+
0.50
P2 LBC
4.00
8.00 0.50
+ +
a2
1.00
+
+
+ +
LBC 1.00
2.00
8.00 0.25
P2
a3 LBC
1.00
6.00
8.00 0.75
Cek :
c.
VBC
+
VCB
-
P1
-
P2
-
P3
=
0.00
1.67
+
1.33
-
1.00
-
1.00
-
1.00
=
0.00
3.00
-
3.00
=
0.00
0.00
=
0.00
Bentang C - D
q = No NIM (ton/m') C
D
3EI
8 m'
VCD
MCD
=
LCD 0.41
=
8.00
-
-
=
0.05
-
VCD
=
1.58
ton
VDC
=
-
=
-
=
-
VDC
=
MCD LCD 0.41 8.00
+
+
0.05
+
2.42
ton
MDC
+
1/2
q2
LCD
+
0.50
0.50
8.00
+
2.00
+
1/2
q2
LCD
+
0.50
0.50
8.00
0.47
+
2.00
LDC 3.79 8.00 0.47
MDC LDC 3.79 8.00
Cek : VCD
+
VDC
-
Q2
=
0.00
1.58
+
2.42
-
4.00
=
0.00
4.00
-
4.00
=
0.00
0.00
=
0.00
OK !!!!
OK !!!!
MAB
=
3.13
ton.m'
MBA
=
1.74
ton.m'
MBC
=
1.74
ton.m'
MCB
=
0.41
ton.m'
MCD
=
0.41
ton.m'
MDC
=
3.79
ton.m'
5.
FREEBODY SECARA KESELURUHAN P = No NIM (ton) P = No NIM (ton)
P = No NIM (ton)
q = No NIM (ton/m') A
q = No NIM (ton/m') B
3EI
B
8 m'
VAB :
2.15
2 m'
VBA :
GAMBAR GAYA - GAYA DALAM
6.1
Bentang A - B
a.
Bentang A - B
0.00
Momen
≤
4 m'
≤
x
1.67
6 m'
2 m'
VAB
x
-
1/2
q
x²
-
MAB
MA
=
2.15
0.00
-
0.50
0.50
0.00
-
3.06
=
0.00
VAB
-
q
x
=
0.00
2.15
-
0.50
x
=
0.00
x
=
x
=
4.29
m
Mmax
=
2.15
Mx
=
0.00
VCD :
1.58
VDC :
VCB :
1.33
0.00
-
0.00
-
3.06
=
-3.06
ton.m
-
4.60
-
3.13
=
1.47
ton.m'
8.00
=
dx
D
3EI
8 m' 4 m'
Mx
dMx
C
6 m'
1.85 VBC :
6.
C
3EI
=
-2.15 -0.50
4.29
-
0.50
0.50
18.42
-
3.13
=
9.21
2.15
x
-
0.50
0.50
x²
-
3.13
=
0.00
2.15
x
-
0.25
x²
-
3.13
=
0.00
-0.25
x²
+
2.15
x
-
3.13
=
0.00
x1
=
1.83
m'
x2
=
6.85
m'
Persamaan Kuadrat
Mx
=
0.00
M1,83
=
2.15
1.83
-
0.50
0.50
3.34
-
3.13
=
3.92
-
0.83
-
3.13
=
0
ton.m'
M6,85
=
2.15
6.85
-
0.50
0.50
46.96
-
3.13
=
14.71
-
11.74
-
3.13
=
0
ton.m'
MA
=
-3.06
ton.m'
Mmax
=
1.47
ton.m'
MB
=
-1.74
ton.m'
Lintang Lx
=
VAB
-
q
x
LA
=
2.15
-
0.50
0.00
=
2.15
-
0.00
=
2.15
ton
L4
=
2.15
-
0.50
4.00
=
2.15
-
2.00
=
0.15
ton
LB
=
2.15
-
0.50
8.00
=
2.15
-
4.00
=
-1.85
ton
Lx
=
0.00
x
=
=
4.29
m'
Normal
2.15 0.50
2.42
Nx
=
6.2
Bentang B - C
a.
Bentang B - E
0.00
Tidak ada gaya horizontal yang bekerja
≤
0.00
x
P = No NIM (ton) P = No NIM (ton)
B
E
F
≤
2.00
P = No NIM (ton)
G
2 m'
C
6 m' 4 m'
4 m' 6 m'
2 m'
Momen Mx
=
VBC
x
-
MBC
MBC
=
1.67
0.00
-
1.74
=
0.00
-
1.74
=
-1.74
ton.m'
M1
=
1.67
1.00
-
1.74
=
1.67
-
1.74
=
-0.07
ton.m'
M2
=
1.67
2.00
-
1.74
=
3.33
-
1.74
=
1.59
ton.m'
Lx
=
VBC
MBC
=
1.67
ton
M1
=
1.67
ton
M2
=
1.67
ton
=
0.00
Lintang
Normal Nx
b.
Bentang E - F
Tidak ada gaya horizontal yang bekerja
2.00
Momen
≤
x
≤
4.00
Mx
=
VBC
x
-
P
x
-
2.00
-
MBC
M2
=
1.67
2.00
-
1.00
2.00
-
2.00
-
1.74
=
3.33
-
0.00
-
-1.74
=
5.07
ton.m'
M3
=
1.67
3.00
-
1.00
3.00
-
2.00
-
1.74
=
5.00
-
1.00
-
-1.74
=
5.73
ton.m'
M4
=
1.67
4.00
-
1.00
4.00
-
2.00
-
1.74
=
6.66
-
2.00
-
-1.74
=
6.40
ton.m'
Lx
=
VBC
-
P
L2
=
1.67
-
1.00
=
0.67
L3
=
L4
=
Lintang
b.
Bentang B - C
0.00
Momen
≤
x
≤
8.00
Mx
=
VBC
x
-
1/2
q
x²
-
MBC
MBC
=
1.67
0.00
-
0.50
0.50
0.00
-
1.74
=
0.00
1.67
-
q
x
=
0.00
-
0.50
x
=
-1.67
x
=
x
=
3.33
m
dMx dx
Mmax
=
1.67
Mx
=
0.00
=
0.00
-
0.00
-
1.74
=
-1.74
ton.m
-
2.77
-
1.74
=
1.04
ton.m'
ton.m'
-1.67 -0.50
3.33
-
0.50
0.50
11.10
-
1.74
=
5.55
1.67
x
-
0.50
0.50
x²
-
1.74
=
0.00
1.67
x
-
0.25
x²
-
1.74
=
0.00
-
0.25
x²
+
1.67
x
-
1.74
=
0.00
x1
=
1.68
m'
x2
=
7.00
m'
Mx
=
0.00
M1,85
=
1.67
1.68
-
0.50
0.50
2.82
-
1.74
=
2.80
-
0.71
-
1.74
=
0.35
M6,35
=
1.67
7.00
-
0.50
0.50
49.00
-
1.74
=
11.66
-
12.25
-
1.74
=
-2.33 ton.m'
MB
=
-1.74
ton.m'
Mmax
=
1.04
ton.m'
MC
=
0.41
ton.m'
Lintang Lx
=
VBC
-
q
x
LA
=
1.67
-
0.50
0.00
=
1.67
-
0.00
=
1.67
ton
L4
=
1.67
-
0.50
4.00
=
1.67
-
2.00
=
-0.33
ton
LB
=
1.67
-
0.50
8.00
=
1.67
-
4.00
=
-2.33
ton
Lx
=
0.00
x
=
=
3.33
m'
1.67 0.50
Normal Nx
c.
=
0.00
Bentang C - D
Tidak ada gaya horizontal yang bekerja
0.00
Momen Mx
≤
x
≤
3.00
=
VCD
x
-
MCD
MCD
=
1.58
0.00
-
0.41
=
0.00
-
0.41
=
-0.41
ton.m'
M3
=
1.58
3.00
-
0.41
=
4.73
-
0.41
=
4.32
ton.m'
Lx
=
VCD
LCD
=
1.58
ton
L3
=
1.58
ton\
=
0.00
Lintang
Normal Nx
Tidak ada gaya horizontal yang bekerja
3.00 Momen
≤
x
≤
8.00
Mx
=
VCD
x
-
MCD
-
P
x
-
3.00
M3
=
1.58
3.00
-
0.41
-
1.00
3.00
-
3.00
=
4.73
-
0.41
-
0.00
=
4.32
ton.m'
MDC
=
1.58
6.00
-
0.41
-
1.00
6.00
-
3.00
=
9.47
-
0.41
-
3.00
=
6.05
ton.m'
Lx
=
VCD
-
P
L3
=
1.58
-
1.00
=
0.58
ton
LDC
=
1.58
-
1.00
=
0.58
ton
=
0.00
Lintang
Normal Nx
Tidak ada gaya horizontal yang bekerja
FINAL
3.
MOMEN BALANCE
FD FEM
A AB 0 2.083
MF MB M.Ujung Batang
0.000 0.243 2.326
MF MB M.Ujung Batang
0.000 0.428 2.754
MF MB M.Ujung Batang
0.000 0.027 2.781
MF MB M.Ujung Batang
0.000 0.048 2.828
MF MB M.Ujung Batang
0.000 0.003 2.831
MF MB M.Ujung Batang
0.000 0.005 2.837
MF MB M.Ujung Batang
0.000 0.000 2.837
MF MB M.Ujung Batang
0.000 0.001 2.838
MF MB M.Ujung Batang
0.000 0.000 2.838
S1
S2
S3
S4
S5
S6
S7
S8
S9
S10
MF MB
0.000 0.000
B BA 0.333 -2.083 -1.458 0.486 0.000 -1.597 -2.571 0.856 0.000 -0.741 -0.162 0.054 0.000 -0.687 -0.286 0.095 0.000 -0.592 -0.018 0.006 0.000 -0.586 -0.032 0.011 0.000 -0.576 -0.002 0.001 0.000 -0.575 -0.004 0.001 0.000 -0.574 0.000 0.000 0.000 -0.574 0.000 0.000 0.000
M.Ujung Batang
2.838
-0.574 0.000
B BC 0.667 0.625 -1.458 0.972 -2.571 -0.973 -2.571 1.715 -0.162 0.579 -0.162 0.108 -0.286 0.402 -0.286 0.191 -0.018 0.574 -0.018 0.012 -0.032 0.554 -0.032 0.021 -0.002 0.574 -0.002 0.001 -0.004 0.571 -0.004 0.002 0.000 0.574 0.000 0.000 0.000 0.573 0.000 0.000 0.000
C CB CD 0.667 0.333 -0.625 8.333 7.708 -5.141 -2.567 0.486 0.000 -5.280 5.766 0.486 -0.324 -0.162 0.857 0.000 -4.747 5.604 0.857 -0.572 -0.285 0.054 0.000 -5.265 5.319 0.054 -0.036 -0.018 0.095 0.000 -5.205 5.301 0.095 -0.064 -0.032 0.006 0.000 -5.263 5.269 0.006 -0.004 -0.002 0.011 0.000 -5.256 5.267 0.011 -0.007 -0.004 0.001 0.000 -5.263 5.264 0.001 0.000 0.000 0.001 0.000 -5.262 5.263 0.001 -0.001 0.000 0.000 0.000 -5.263 5.263 0.000 0.000 0.000 0.000 0.000
0.574 0.000
-5.263 5.263 0.000
D DC 0 -8.333 0.000 -1.283 -9.616 0.000 -0.081 -9.697 0.000 -0.143 -9.840 0.000 -0.009 -9.849 0.000 -0.016 -9.865 0.000 -0.001 -9.866 0.000 -0.002 -9.868 0.000 0.000 -9.868 0.000 0.000 -9.868 0.000 0.000
-9.868
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