CONTOH URUTAN MENGERJAKAN
UJIAN/TUGAS ANALISIS STRUKTUR - IV
1.
Soal Tugas :
2.
Persiapan Data :
Penomoran titik, batang dan koordinat :
Data Batang :
No.
Batang
No.Titik
Kiri (bawah)
No.Titik
Kanan(bawah
)
No.Propertis
1
1
4
1
2
2
6
1
3
3
4
1
4
4
5
1
5
5
6
1
Data Tumpuan :
No.
Titik
Restraint
RX
Restraint
RY
Restraint
RZ
1
1
1
0
2
1
1
1
Data Beban Titik :
No.
Titik
Beban
FX
Beban
FY
Beban
MZ
3
7
-6
0
5
0
-8
0
Batang – 3 : q3=2 ton/m; L3=2m
Batang – 4 : q4=2 ton/m; L4=4m
Batang – 5 : q5=2 ton/m; L5=4m
q=q3=q4=q5=2 ton/m
Ra3=q*L3/2; Rb3=Ra3;
Ra4=q*L4/2; Rb4=Ra4;
Ra5=q*L5/2; Rb5=Ra5;
Ma3=1/12*q*L3^2; Mb3= -Ma3;
Ma4=1/12*q*L4^2; Mb4= -Ma4;
Ma5=1/12*q*L5^2; Mb5= -Ma5;
Beban Merata pada Batang :
No.
Batan
g
Beban
FX1
Beban
FY1
Beban
MZ1
Beban
FX2
Beban
FY2
Beban
MZ2
UJUNG KIRI
UJUNG KANAN
3
0
Ra3
Ma3
0
Rb3
Mb3
4
0
Ra4
Ma4
0
Rb4
Mb4
4. OutPut Program & Cek :
NAMAFILE_2.txt
.
Support Reactions :
Joint Rx Ry Mz 1 5.5606e+000 1.8964e+001 0.0000e+000 2 -1.2561e+001 1.5036e+001 3.2639e+001
Member End Forces :
Member Fx1 Fy1 Mz1 Fx2 Fy2 Mz2 1 19.673 1.880 -0.000 -19.673 -1.880 10.125 2 15.036 12.561 32.639 -15.036 -12.561 30.164 3 7.000 -6.000 -0.000 -7.000 10.000 -16.000 4 12.561 8.964 5.875 -12.561 -0.964 13.981 5 12.561 -7.036 -13.981 -12.561 15.036 -30.164
.
NAMAFILE_4.txt
.
.
Reaction of Supports :
{AR}IFx1 = -{ARC}IRx1 + [SRF]IRxIF {DF}IFx1
1 5.561e+000
2 1.896e+001
4 -1.256e+001
5 1.504e+001
6 3.264e+001
6. Perumusan Matriks Cara Manual
Matriks Kekakuan Elemen sb Lokal [SM]6x6
Batang – 1 :
E=... ; Ax=....; L=....; Iz=...
E*Ax/L 0 0 -E*Ax/L 0 0 0 12E*Iz/L^3 6E*Iz/L^2 0 -12E*Iz/L^3 6E*Iz/L^2 0 6E*Iz/L^2 4E*Iz/L 0 -6E*Iz/L^2 2E*Iz/L -E*Ax/L 0 0 E*Ax/L 0 0 0 12E*Iz/L^3 -6E*Iz/L^2 0 12E*Iz/L^3 -6E*Iz/L^2 0 6E*Iz/L^2 2E*Iz/L 0 -6E*Iz/L^2 4E*Iz/L
=
3.1197e+005 0.0000e+000 0.0000e+000 -3.1197e+005 0.0000e+000 0.0000e+000 0.0000e+000 1.2909e+003 3.4759e+003 0.0000e+000 -1.2909e+003 3.4759e+003 0.0000e+000 3.4759e+003 1.2479e+004 0.0000e+000 -3.4759e+003 6.2394e+003 -3.1197e+005 0.0000e+000 0.0000e+000 3.1197e+005 0.0000e+000 0.0000e+000 0.0000e+000 -1.2909e+003 -3.4759e+003 0.0000e+000 1.2909e+003 -3.4759e+003 0.0000e+000 3.4759e+003 6.2394e+003 0.0000e+000 -3.4759e+003 1.2479e+004
Batang – 2 :
E=... ; Ax=....; L=....; Iz=...
E*Ax/L 0 0 -E*Ax/L 0 0 0 12E*Iz/L^3 6E*Iz/L^2 0 -12E*Iz/L^3 6E*Iz/L^2 0 6E*Iz/L^2 4E*Iz/L 0 -6E*Iz/L^2 2E*Iz/L -E*Ax/L 0 0 E*Ax/L 0 0 0 12E*Iz/L^3 -6E*Iz/L^2 0 12E*Iz/L^3 -6E*Iz/L^2 0 6E*Iz/L^2 2E*Iz/L 0 -6E*Iz/L^2 4E*Iz/L
=
3.3600e+005 0.0000e+000 0.0000e+000 -3.3600e+005 0.0000e+000 0.0000e+000 0.0000e+000 1.6128e+003 4.0320e+003 0.0000e+000 -1.6128e+003 4.0320e+003 0.0000e+000 4.0320e+003 1.3440e+004 0.0000e+000 -4.0320e+003 6.7200e+003 -3.3600e+005 0.0000e+000 0.0000e+000 3.3600e+005 0.0000e+000 0.0000e+000 0.0000e+000 -1.6128e+003 -4.0320e+003 0.0000e+000 1.6128e+003 -4.0320e+003 0.0000e+000 4.0320e+003 6.7200e+003 0.0000e+000 -4.0320e+003 1.3440e+004
