P1 W1 Q R
q1 S
P2 T
q2 W2 M N
P1 O
q1 P
P2 W3 I J
q2 K
P1 L
q1 W4 E F
P2 G
q2 H
C
D
A L1
B L2 L3
h1
h2
BALOK QR RS ST MN NO OP IJ JK KL EF FG GH
h3
EI DIMENSI KOLOM 1 20/30 AE 1 20/30 EI 1 20/30 IM 1,5 25/35 MQ 1,5 25/35 BF 1,5 25/35 FJ 2 35/45 JN 2 35/45 NR 2 35/45 CG 2,5 40/50 GK 2,5 40/50 KO 2,5 40/50 OS DH HL LP PT = 1 ton = 1,5 ton = 1t/m' = 2t/m' = 5 ton = 4 ton = 3 ton = 2,5 ton L1 L2 L3 h1 h2 h3 h4 h5
EI DIMENSI 2,5 40/50 2 35/45 1,5 25/35 1 20/20 2,5 40/50 2 35/45 1,5 25/35 1 20/20 2,5 40/50 2 35/45 1,5 25/35 1 20/20 2,5 40/50 2 35/45 1,5 25/35 1 20/20 = 5m = 4,5 m = 5,5 m = 4m = 4m = 5m = 5m = 3m
h4
P1 P2 q1 q2 W1 W2 W3 W4
h5
BALOK QR RS ST MN NO OP IJ JK KL EF FG GH
EI 1 1 1 1,5 1,5 1,5 2 2 2 2,5 2,5 2,5
DIMENSI 20/30 20/30 20/30 25/35 25/35 25/35 35/45 35/45 35/45 40/50 40/50 40/50
INERSIA Jika 45000 = I 1/12 bh3 45000 1.00 45000 1.00 45000 1.00 89322.917 1.98 89322.917 1.98 89322.917 1.98 265781.25 5.91 265781.25 5.91 265781.25 5.91 416666.67 9.26 416666.67 9.26 416666.67 9.26
KOLOM AE EI IM MQ BF FJ JN NR CG GK KO OS DH HL LP PT
EI 2,5 2 1,5 1 2,5 2 1,5 1 2,5 2 1,5 1 2,5 2 1,5 1
DIMENSI 40/50 35/45 25/35 20/20 40/50 35/45 25/35 20/20 40/50 35/45 25/35 20/20 40/50 35/45 25/35 20/20
INERSIA Jika 45000 = I 1/12 bh3 416666.67 9.26 265781.25 5.91 89322.917 1.98 13333.333 0.30 416666.67 9.26 265781.25 5.91 89322.917 1.98 13333.333 0.30 416666.67 9.26 265781.25 5.91 89322.917 1.98 13333.333 0.30 416666.67 9.26 265781.25 5.91 89322.917 1.98 13333.333 0.30
QR1/2L1
TABEL MOMEN PRIMER P1 = 1 MQR = 1/8 PL = P1 L1 = 5 MRQ = -1/8 PL =1/2L1
0.63 -0.63
RS
q1 L2
q1 = L2 =
1 4.5
MRS = 1/12 ql2 = MSR = - 1/12 qL2=
1.69 -1.69
ST
P21/2L3 1/2L3
P2 = 1.5 L3 = 5.5
MST = 1/8 PL = MTS = -1/8 PL =
1.03 -1.03
MN
q2 L1
q2 = L1 =
2 5
MMN = 1/12 qL2 = MNM = - 1/12 qL2=
4.17 -4.17
NO1/2L2
P11/2L2
P1 = 1 L2 = 4.5
MNO = 1/8 PL = MON = -1/8 PL =
0.56 -0.56
OP
q1 L3
q1 =
1
MOP = 1/12 qL2 = MPO = - 1/12 qL2=
2.52 -2.52
L3 = 5.5
IJ1/2L1
P21/2L1
P2 = 1.5 L1 = 5
MIJ = 1/8 PL = MJI = -1/8 PL =
0.94 -0.94
JK
q2 L2
q2 =
2
MJK = 1/12 qL2 = MKJ = - 1/12 qL2 =
3.38 -3.38
L2 = 4.5
KL
P11/2L3 1/2L3
P1 = 1 L3 = 5.5
MKL = 1/8 PL =MLK = -1/8 PL =
0.69 -0.69
EF
q1 L1
q1 = L1 =
1 5
MEF = 1/12 qL2 = MFE = - 1/12 qL2=
2.08 -2.08
FG1/2L2
P21/2L2
P2 = 1.5 L2 = 4.5
MFG = 1/8 PL = MGF = -1/8 PL =
0.84 -0.84
GH
q2 L3
q2 =
2
MGH = 1/12 qL2 = MHG = - 1/12 qL2=
5.04 -5.04
L3 = 5.5
MOMEN KUMPUL MQ MR MS MT MM MN MO MP MI MJ MK ML ME MF MG MH = MQR+ MQM = MRQ+ MRN + MRS = MSR + MSO + MST = MTS+ MTP = MMQ+ MMN + MMI = MNM + MNR + MNO + MNJ = MON + MOS + MOP + MOK = MPO+ MPT + MPL = MIM+ MIJ + MIE = MJI + MJN + MJK + MJF = MKJ + MKO + MKL + MKG = MLK+ MLP + MLH = MEI+ MEF + MEA = MFE + MFJ + MFG + MFB = MGF + MGK + MGH + MGC = MHG+ MHL + MHD = 0,63 + 0 = = -0,63 + 0 + 1.69 = = -1.69 +1,03 + 0 = = -1,03 + 0 = 0.625 1.063 -0.656 -1.031
= 0 + 4,17 + 0 = 4.167 = -4,17 + 0 + 0,56 + 0 = -3.604 = -0,56 + 0 + 2,52 + 0 = 1.958 = -2.52 + 0 + 0 = -2.521 = 0 + 0,94 + 0 = 0.938 = -0,94 + 0 + 3,38 + 0 = 2.438 =-3,38 + 0 + 0,69 + 0 = -2.688 = -0,69 + 0 + 0 = -0.688 = 0 + 2,08 + 0 = 2.083 = -2,08 + 0 + 0,84 + 0 = -1.240 = -0,84 + 0 + 5,04 + 0 = 4.198 = -0,54 +0 + 0 = -5.042
k
JOIN Q R
BALOK QR QM RQ RS RN SR ST SO TS TP MN MQ MI NM NO NR NJ ON OP OS OK PO PT PL IJ IM IE JI JK JN JF KJ KL KO KG LK LP LH EF EI EA FE FG FJ FB
EI 1 0.30 1 1 0.30 1 1 0.30 1 0.30 1.98 0.30 1.98 1.98 1.98 0.30 1.98 1.98 1.98 0.30 1.98 1.98 0.30 1.98 5.91 1.98 5.91 5.91 5.91 1.98 5.91 5.91 5.91 1.98 5.91 5.91 1.98 5.91 9.26 5.91 9.26 9.26 9.26 5.91 9.26
L 5
H
Kij=
4 EI L
Kij 1.10 1.99
ij =
1 Kij 2 Kij
KL QR 20/30 RS 20/30 ST 20/30 MN 25/35 NO 25/35 OP 25/35 IJ 35/45 JK 35/45 KL 35/45 EF 40/50 FG 40/50 GH 40/50
4 5 4.5 4 4.5 5.5 4 5.5 4 5 4 4 5 4.5 4 4 4.5 5.5 4 4 5.5 4 4 5 4 5 5 4.5 4 5 4.5 5.5 4 5 5.5 4 5 5 5 8 5 4.5 5 8
S T M
N
O
P
I
J
K
L
E
F
0.80 0.30 0.80 0.89 0.30 0.89 0.73 0.30 0.73 0.30 1.59 0.30 1.98 1.59 1.76 0.30 1.98 1.76 1.44 0.30 1.98 1.44 0.30 1.98 4.73 1.98 4.73 4.73 5.25 1.98 4.73 5.25 4.30 1.98 4.73 4.30 1.98 4.73 7.41 4.73 4.63 7.41 8.23 4.73 4.63
1.91 1.02 3.87
5.63
5.49
3.72
11.43
16.68
16.26 11.01
16.76
24.99
-0.365 -0.135 -0.201 -0.224 -0.075 -0.232 -0.191 -0.077 -0.355 -0.145 -0.205 -0.038 -0.257 -0.141 -0.157 -0.026 -0.176 -0.161 -0.131 -0.027 -0.181 -0.194 -0.040 -0.266 -0.207 -0.086 -0.207 -0.142 -0.157 -0.059 -0.142 -0.161 -0.132 -0.062 -0.095 -0.195 -0.090 -0.215 -0.221 -0.141 -0.138 -0.147 -0.165 -0.095 -0.093
G
H
GF GH GK GC HG HL HD
9.26 9.26 5.91 9.26 9.26 5.91 9.26
4.5 5.5 5 5 5.5 5 5
8.23 6.73 4.73 7.41 6.73 4.73 7.41
27.10
18.87
-0.152 -0.124 -0.087 -0.137 -0.178 -0.126 -0.196
Jika 45000 = I 1.00 1.00 1.00 1.98 1.98 1.98 5.91 5.91 5.91 9.26 9.26 9.26
KOLOM Jika 45000 = I AE EI IM MQ BF FJ JN NR CG GK KO OS DH HL LP PT 2,5 1,5 2,5 1,5 2,5 1,5 2,5 1,5 9.26 5.91 1.98 0.30 9.26 5.91 1.98 0.30 9.26 5.91 1.98 0.30 9.26 5.91 1.98 0.30
KOEFISIEN PERGOYANGAN
ij
3 CK 2 (C 2 K )
Dimana C QM : C RN : C SO :C TP =1 C MI : C NJ : C OK :C PL = 1 C IE : C JF : C KG : C LH = 1 C EA : C FB =1 C GC : C HD = 8/5 = 1,6 Tingkat ke I EA = -3/2 1 x 4,63 1^2 x 4,63 + 1^2 x 4,63 + 1,6^2 x 7,41 + 1,6^2 x 7,41 -3/2 4.63 47.1992 4.63 47.1992 7.41 47.1992 7.41 47.1992 = -0.147
W1 Q
W2 M
FB =
-3/2
=
-0.147
W3 I
GC =
-3/2
=
-0.235
HD =
-3/2
=
-0.235
W4 E
Tingkat ke II IE = -3/2 1 x 4,73 1^2 x 4,73 + 1^2 x 4,73 + 1^2 x 4,73 + -3/2 4.73 18.92 4.73 18.92 4.73 18.92 4.73 18.92 = -0.375
1^2 x 4,73
JF =
-3/2
=
-0.375 A
KG =
-3/2
=
-0.375
LH =
-3/2
=
-0.375
Tingkat ke III MI = -3/2 1 x 1,98 1^2 x 1,98 + 1^2 x 1,98 + 1^2 x 1,98 + -3/2 1.98 7.92 = -0.375
1^2 x 1,98
NJ =
-3/2
1.98 7.92 1.98 7.92 1.98 7.92
=
-0.375
OK =
-3/2
=
-0.375
PL =
-3/2
=
-0.375
QM =
-3/2 1 x 0,3 1^2 x 0,3 + -3/2 0.3 1.2 0.3 1.2 0.3 1.2 0.3 1.2
1^2 x 0,3 + =
1^2 x 0,3 + -0.375
1^2 x 0,3
RN =
-3/2
=
-0.375
SO =
-3/2
=
-0.375
TP =
-3/2
=
-0.375
P1 R
q1 S
P2 T
q2 N
P1 O
q1 P
P2
q2
P1
J
K
L
q1 F
P2 G
q2 H
C
D
B L1 L2 L3
Momen tingkat P4 = P3 = P4 = P4 = W1 = 5 Ton W2 = 4Ton + 5 Ton = 9 ton W3 = 3 ton + 9 ton = 12 ton W4 = 2,5 Ton + 12 Ton = 14,5 Ton P1 P2 q1 q2 W1 W2 W3 W4 = 1 ton = 1,5 ton = 1t/m' = 2t/m' = 5 ton = 4 ton = 3 ton = 2,5 ton L1 L2 L3 h1 h2 h3 h4 h5 = 5m = 4,5 m = 5,5 m = 4m = 4m = 5m = 5m = 3m
MOMEN TINGKAT MT = 1/3 x hc x P M4 = M3 = M2 = M1 = 1/3 x 4 x 5 = 1/3 x 4 x 9 = 1/3 x 5 x 12= 1/3 x 8 x 14,5 = 6.667 12 20 38.667
Q 0.625 -0.135 0.253 0.314 0.332 0.331 0.331 0.331 0.332 -0.365 0.625 0.684 0.849 0.898 0.896 0.894 0.894 0.898 -0.201 -0.625 0.152 0.055 0.073 0.081 0.082 0.083 0.083 1.063 -0.075 0.056 0.021 0.027 0.030 0.031 0.031 0.031
-2.325 -2.459 -2.455 -2.450 -2.448 -2.460
6.667 0.045 0.127 0.155 0.166 0.169 0.154 0.169
-0.375
-2.500 -3.146 -3.267 -3.308 -3.321 -3.325 -3.321
-2.500 -3.146 -3.267 -3.308 -3.321 -3.325 -3.321
8.389 8.711 8.823 8.856 8.866 8.857
-0.375
6.667 0.264 0.338 0.354 0.358 0.359 0.349 0.360
-0.038 4.167 -0.257 0.298 0.858 1.049 1.119 1.144 1.039 1.140
M -0.205 4.167 0.239 0.685 0.837 0.893 0.912 0.828 0.909 -0.141 -4.167 1.418 1.832 1.918 1.942 1.948 1.895 1.954
-0.026 -3.604 -0.176 1.772 2.287 2.394 2.424 2.432 2.365 2.440
-3.339 -4.083 -4.356 -4.450 -4.041 -4.436
12.000
-0.375
-4.500 -7.432 -8.580 -8.969 -9.102 -8.651 -9.081
-4.500 -7.432 -8.580 -8.969 -9.102 -8.651 -9.081
19.819 22.881 23.918 24.273 23.068 24.217
-0.375
12.000
0.926 1.347 1.482 1.527 1.542 1.514 1.537
0.320 0.467 0.539 0.569 0.581 0.565 0.581
-0.086 0.938 -0.207 2.224 3.241 3.566 3.675 3.711 3.644 3.700
I -0.207 0.938 2.418 3.241 3.566 3.675 3.711 3.644 3.700 -0.142 -0.938 0.761 1.124 1.297 1.369 1.399 1.360 1.398
-0.059 2.438 -0.142 0.761 1.124 1.297 1.369 1.399 1.360 1.398
-15.659 -17.227 -17.755 -17.929 -17.602 -17.874
-7.500 -11.777 -13.223 -13.756 -13.950 -14.019 -13.942
-7.500 -11.777 -13.223 -13.756 -13.950 -14.019 -13.942
31.404 35.262 36.683 37.200 37.385 37.179
20.000 0.993 1.465 1.615 1.672 1.693 1.711 1.695
-0.375
-0.3
