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CONSISTENT DEFORMATIONNopember 2006 PORTAL STATIS TAK TENTU TINGKAT 1FTSP-Sipil, ITS
q3= q2= q1 L1= L2= L3= L4= L5= L6= H1= H2= H3= V2= V3= V1= n1= n2=
0 2 0 6 6 3 1 2 3 6 1 0 5 2 0 1 2
V1 L6 V2 V3 50 2 19 Gaya vertikal pengganti
B C D Eq1 q2 q3 0 q 2 65 Momen Pengganti
H2 1 EI n2 EI 1 EI H3 1 Gaya horisontal pengganti2 EI
n1 EI 1 EIH1 L2 6 6
L3 L3 L3A
L5 L1 L4 Gaya lengan / jarak momenper EI thd sumbu y lewat D
390 / EI 11.25 / EI 11.25 5 56.25 ikut bis7.5
36 / EI 36 4.5 162 ikut bis18
18 / EI 390 6 2340 ikut bis6
18 4 72 ikut bis6 / EI
65 1 6 3 18 ikut bis
27 6 -162 ketinggalan
618 6 -108 ketinggalan
18 / EI +2378.32378.3 (TURUN)
27 / EI EI18
-MYD=0MYD=
MXA=ΔHA=0
MYA=ΔVA=0
V A=θA=0
MXD=ΔHD
V D=θD
MYD=ΔVD
catatan :
-tanda ( + ) ikut bis 1 unit gaya -tanda ( - ) ketinggalan bis
3
9 / EI6
36 / EIGaya lengan / jarak momenper EI thd sumbu y lewat D
9 4 -36 ketinggalan
36 6 -216 ketinggalan
+
-252.00
-252.0000 (NAIK)EI
persamaan kompatibilitas
2378.3 -252 = 0
turun naik
9.44 ton keatas
Tanda momen mengikuti jalannya bis
-MYD=0MYD=
DVD+VD dVD=0
+ VD
VD=
HDXD ΔM
MXA=ΔHA=0
MYA=ΔVA=0
V A=θA=0
MYC=ΔVC
V D=θD
5 ton 2 ton
| | | | V V
2 t/m rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr <----
1.000 ton 0.000 8.375 2.000 2.000 ton m
9.5630.000 9.563 7.438 2.000 ton
9.438 ton-1
-8.375
<------ 6 6 m momen akhir ton reaksi (gaya lintang)
15.625
7
9.563
7
2 6 1
9.5625 ton
M0.000 0 0
15.625 00.6 11.425 0.60.6 7.225 1.20.6 3.025 1.80.6 -1.175 2.40.6 -5.375 3
0 30 3
0.6 -5.375 30.6 -5.975 3.60.6 -6.575 4.20.6 -7.175 4.80.6 -7.775 5.40.6 -8.375 6
0 0 6
0 1 2 3 4 5 6 7 8 9 10
-10
-5
0
5
10
15
Bidang D balok B-C-D-E
meter
0 1 2 3 4 5 6 7 8 9 10
-10
-5
0
5
10
15
Bidang M
-8-7-6-5-4-3-2-100
1
2
3
4
5
6
7
Bidang D kolom A-C
met
er
-10 -5 0 5 10 15 200
1
2
3
4
5
6
7
bidang M kolom A-C
met
er
|| xdx x D x M xV 0 0 0 0 0 0
0 0 0 0 0 0rrrrrrrr #DIV/0! 0.4 0.4 0 0.4 0 0 0.4
rrrrrrrrrrrrrrrrrrr #DIV/0! 0.4 0.8 0 0.8 0 0 0.8 rrrrrrrr #DIV/0! 0.4 1.2 0 1.2 0 0 1.2
<---- #DIV/0! 0.4 1.6 0 1.6 0 0 1.6 <------ #DIV/0! 0.4 2 0 2 0 0 2
#DIV/0! 2 0 2 0 0 20 2 9.5625 2 -8.375 -8.375 20 0.6 2.6 8.3625 2.6 -2.9975 -7.7375 2.60 0.6 3.2 7.1625 3.2 1.66 -7.1 3.20 0.6 3.8 5.9625 3.8 5.5975 -6.4625 3.80 0.6 4.4 4.7625 4.4 8.815 -5.825 4.40 0.6 5 3.5625 5 11.3125 -5.1875 5
11.3125 5 3.5625 5 11.3125 11.3125 50 5 3.5625 5 11.3125 11.3125 5
11.3125 0 5 -1.4375 5 11.3125 -5.1875 50 0.6 5.6 -2.6375 5.6 10.09 -4.55 5.60 0.6 6.2 -3.8375 6.2 8.1475 -3.9125 6.20 0.6 6.8 -5.0375 6.8 5.485 -3.275 6.80 0.6 7.4 -6.2375 7.4 2.1025 -2.6375 7.40 0.6 8 -7.4375 8 -2 -2 8
8 -7.4375 8 -2 0 88 -7.4375 8 -2 0 8
0.2 8 2 8 -2 -2 80.2 8.2 2 8.2 -1.6 -1.6 8.20.2 8.4 2 8.4 -1.2 -1.2 8.40.2 8.6 2 8.6 -0.8 -0.8 8.60.2 8.8 2 8.8 -0.4 -0.4 8.80.2 9 2 9 -1.07E-14 -1.07E-14 90.2 9 0 9 -1.07E-14 -1.07E-14 9
D0 0
#DIV/0! -7 0#DIV/0! 0.6 -7 0.6#DIV/0! 0.6 -7 1.2#DIV/0! 0.6 -7 1.8#DIV/0! 0.6 -7 2.4#DIV/0! 0.6 -7 3
#DIV/0! -1 3#DIV/0! -1 3#DIV/0! 0.6 -1 3#DIV/0! 0.6 -1 3.6#DIV/0! 0.6 -1 4.2#DIV/0! 0.6 -1 4.8#DIV/0! 0.6 -1 5.4#DIV/0! 0.6 -1 6
0 6
N
