2. Penomoran
koordinat, titik simpul dan batang
3.
Persiapan
Data
·
Data Propertis Batang
E=2.0e8 (ton/m2)
A= 1.00*0.8 (m2) I=1/12*1.00*0.8^3
(m4)
·
Data Koordinat
No.
Titik
|
X
|
Y
|
1
|
0
|
0
|
2
|
0
|
4
|
3
|
0
|
8
|
4
|
5
|
8
|
5
|
10
|
8
|
6
|
10
|
4
|
7
|
10
|
0
|
8
|
5
|
0
|
·
Data Batang
No.
Batang
|
No.
titik kiri (bawah)
|
No.
titik kanan
(atas) |
No.
Propertis
|
1
|
1
|
2
|
1
|
2
|
2
|
3
|
1
|
3
|
3
|
4
|
1
|
4
|
4
|
5
|
1
|
5
|
6
|
5
|
1
|
6
|
7
|
6
|
1
|
7
|
8
|
7
|
1
|
8
|
1
|
8
|
1
|
·
Data Tumpuan
No. Titilk
|
Restrain RX
|
Restrain RY
|
Restrain R
|
1
|
1
|
1
|
0
|
7
|
1
|
1
|
0
|
·
Data Beban Titik
No.
Titik
|
Beban
Fx
|
Beban
Fy
|
Beban
Mz
|
2
|
2
|
0
|
0
|
4
|
0
|
-6
|
0
|
6
|
-2
|
0
|
0
|
8
|
0
|
-5
|
0
|
·
Data Beban Batang
No.
Batang
|
Beban
FX1
|
Beban
FY1
|
Beban
MZ1 |
Beban
FX2
|
Beban
FY2
|
Beban
MZ2 |
1
|
0
|
8
|
0
|
5.33
|
8
|
-5.33
|
2
|
0
|
8
|
0
|
5.33
|
8
|
-5.33
|
3
|
0
|
20
|
0
|
16.67
|
20
|
-16.67
|
4
|
0
|
20
|
0
|
16.67
|
20
|
-16.67
|
5
|
0
|
-8
|
0
|
-5.33
|
-8
|
5.33
|
6
|
0
|
-8
|
0
|
-5.33
|
-8
|
5.33
|
7
|
0
|
5
|
0
|
4.167
|
5
|
-4.167
|
8
|
0
|
5
|
0
|
4.167
|
5
|
-4.167
|
4.
Input Data
%****PORTAL 2D---TEKNIK SIPIL UNISSULA
SEMARANG----
%****nama file : PORTALZ----oleh :zaitun
andarwan 022113198 ----
%****struktur :
clear all
clc
%****General Data---
type='FRAME2D'
nfile='PORTALZ,'
%****Material Properties---i,E,A,I---
prop =
[ 1
2e8 1.00*0.8 1/12*1.00*0.8^3];
%****Coordinates---
%****--- Joint X
Y ---
coord=[
1 0
0
2 0 4
3 0 8
4 5 8
5 10 8
6 10 4
7 10 0
8 5 0];
%****Element data---
%****--- Element J1 J2
prop---
element=[
1 1
2 1
2 2 3 1
3 3 4
1
4 4 5 1
5 6 5 1
6 7 6 1
7 8 7 1
8 1 8
1];
%****Nodal Restraint---
%****---- Joint JR1
JR2 JR3---
Support=[
1 1
1 0
7 1 1
0 ];
%****Joint Load---
%****---Joint
FX FY MZ---
JL=[ 2
2 0 0
4 0 -6
0
6 -2 0
0
8 0 -5
0];
%****Load Data---
%****
AML=[
1 0
8 5.33 0
8 -5.33
2 0 8
5.33 0 8
-5.33
3 0 20
16.67 0 20
-16.67
4 0 20
16.67 0 20
-16.67
5 0 -8
-5.33 0 -8
5.33
6 0 -8
-5.33 0 -8
5.33
7 0 5
4.167 0
5 -4.167
8 0 5
4.167 0 5
-4.167 ];
%****Call function for analysis portal
2d--------------------
[dof,index,coord,element]=FRAME2D_sdata(prop,element,coord,type);
[S,Sm,SmS,Cx,Cy,RT,L,A,Joint,Xj,Xk,Yj,Yk]=FRAME2D_stiff...
(prop,element,coord,index,nfile);
[IR,IF,Support]=FRAME2D_ldata(Support,dof);
[DF,AR,AM]=FRAME2D_analysis_result...
(element,dof,index,IF,IR,S,Sm,JL,AML,RT,Support,type,nfile);
[joint_disp,support_reaction,beam_endforces]=FRAME2D_print_result...
(JL,AML,dof,Support,element,IF,IR,DF,AR,AM,type,nfile);
%****end
data------------------------------------------------
%
FRAME2D_xplot
%
%
5.
Output Data dan cek
STIFFNESS MATRIX METHOD : PROGRAM FRAME2D
File Name : PORTALZ,_2.txt
Joint Loads :
Joint
Fx Fy Mz
2 2.000 0.000 0.000
4 0.000 -6.000 0.000
6 -2.000 0.000 0.000
8 0.000 -5.000 0.000
Member Loads :
Member
Fx1 Fy1 Mz1 Fx2 Fy2 Mz2
1 0.000 8.000 5.330 0.000 8.000 -5.330
2 0.000 8.000 5.330 0.000 8.000 -5.330
3
0.000 20.000 16.670 0.000 20.000 -16.670
4 0.000 20.000 16.670 0.000 20.000 -16.670
5 0.000 -8.000 -5.330 0.000 -8.000 5.330
6 0.000 -8.000 -5.330 0.000 -8.000 5.330
7 0.000 5.000 4.167 0.000 5.000 -4.167
8 0.000 5.000 4.167 0.000 5.000 -4.167
Support Restraints :
Joint
Dx Dy Rz
1 1 1 0
7 1 1 0
Joint Displacements :
Joint
Dx Dy Rz
1 0.0000e+000 0.0000e+000 -5.4719e-006
2 4.8437e-006 -1.0750e-006 2.8794e-006
3 8.2956e-007 -2.1500e-006 -6.6680e-006
4 -5.1689e-022 -4.6896e-005 -2.1794e-022
5 -8.2956e-007 -2.1500e-006 6.6680e-006
6 -4.8437e-006 -1.0750e-006 -2.8794e-006
7 0.0000e+000 0.0000e+000 5.4719e-006
8 0.0000e+000 -2.2835e-005 -3.3553e-022
Support Reactions :
Joint
Rx Ry Mz
1 -7.4540e+000 5.5500e+001 0.0000e+000
7 7.4540e+000 5.5500e+001 0.0000e+000
Member
End Forces :
Member Fx1 Fy1 Mz1 Fx2 Fy2 Mz2
1
43.000 7.454 -13.578 -43.000 8.546 11.394
2
43.000 -10.546 -11.394 -43.000 26.546 -62.790
3
26.546 43.000 62.790 -26.546 -3.000 52.210
4
26.546 -3.000 -52.210 -26.546 43.000 -62.790
5
43.000 10.546 11.394 -43.000 -26.546 62.790
6
43.000 -7.454 13.578 -43.000 -8.546 -11.394
7
0.000 -2.500 -23.922 0.000 12.500 -13.578
8 0.000
12.500 13.578 0.000 -2.500 23.922
<<<
end of file >>>
- Deformade Geometri
6. Cek Keseimbangan
- Support Reactions :Joint Rx Ry Mz1 -7.4540e+000 5.5500e+001 0.0000e+0007 7.4540e+000 5.5500e+001 0.0000e+000ϵFY = 0(55.5 + 55.5) – (80+20+5+6) = 0111 – 111 = 0 (oke)ϵFX = 0(-7.454+7.454) – (32 +2 -32 -2) = 0 (oke)7. Free Body Diagram
8. Gambar Bidang Momen, Lintang dan Normal (M, D & N)· BIDANG MOMEN
· BIDANG LINTANG
·
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