Diketahui soal seperti pada gambar. Hitung dan gambar bidang M D dan N dengan menggunakan Matlab!Penomoran

Pre Input Nilai Properties batang

E A IBatang 1 : 2.1e7 0.16 2.13e-3 2 : 2.1e7 0.24 7.2e-3

Titik 1 adalah sendi, sedangkan titik 2 adalah jepit. Pada titik ketiga terdapat beban yang tegak lurus batang sebesar 6 ton. Pada batang 3 dan 4 terdapat beban merata sebesar 2t/m. Pada titik 5 terdapat beban terpusat 7 ton. Maka rincian nodal dan batang sebagai berikut :

Titik x y1 0 0

2 8 03 1.5 2

12

3

4 5 6

1

2

3 4

5

4 3 45 5.5 46 8 4

Batang Joint JointProperties

1 1 3 12 3 4 13 4 5 24 5 6 25 2 6 1

INPUT MATLAB%****PORTAL 2D---TEKNIK SIPIL UNISSULA SEMARANG----%****nama file : portal1----oleh :eris yoga permana 1/10/2011----%****struktur : blk menerus di atas 4 tumpuan, beban merata clear all clc%****General Data--- type='p2d' nfile='portal1'%****Property---i,E,A,I--- prop = [ 1 2.1e7 0.16 2.13e-3 2 2.1e7 0.24 7.2e-3 ] ;%****Coordinates---%****--- Joint X Y --- coord=[ 1 0 0 2 8 0 3 1.5 2 4 3 4 5 5.5 4 6 8 4]; %****Element data---%****--- Element J1 J2 prop--- element=[ 1 1 3 1 2 3 4 1 3 4 5 2 4 5 6 2 5 2 6 1 ] ; %****Nodal Restraint---%****---- Joint JR1 JR2 JR3--- Support=[ 1 1 1 0 2 1 1 1] ;%****Joint Load---%****---Joint FX FY MZ--- JL=[ 3 3.6 -4.8 0 5 0 -7 0] ;%****Load Data--- q = 2 L = 2.5 Ra1=q*L/2; Rb1=Ra1; Ma1=1/12*q*L^2; Mb1=-Ma1;%**** AML=[ 3 0 Ra1 Ma1 0 Rb1 Mb1 4 0 Ra1 Ma1 0 Rb1 Mb1 ];%****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% OUTPUT MATLABSTIFFNESS MATRIX METHOD : PROGRAM FRAME2D File Name : portal1_2.txt Joint Loads :Joint Fx Fy Mz 3 3.600 -4.800 0.000 5 0.000 -7.000 0.000 Member Loads :Member Fx1 Fy1 Mz1 Fx2 Fy2 Mz2 3 0.00 2.500 1.042 0.000 2.500 -1.042 4 0.000 2.500 1.042 0.000 2.500 -1.042 Support Restraints :Joint Dx Dy Rz 1 1 1 0 2 1 1 1 Joint Displacements :Joint Dx Dy Rz 1 0.0000e+000 0.0000e+000 -3.9656e-004 2 0.0000e+000 0.0000e+000 0.0000e+000 3 6.4777e-004 -4.9538e-004 -1.8540e-004 4 7.1992e-004 -5.5750e-004 4.5657e-005 5 7.1628e-004 -3.5999e-004 1.3119e-004 6 7.1263e-004 -1.4006e-005 8.1773e-005 Support Reactions :Joint Rx Ry Mz 1 3.7484e+000 1.0035e+001 0.0000e+000 2 -7.3484e+000 1.1765e+001 1.3782e+001 Member End Forces :Member Fx1 Fy1 Mz1 Fx2 Fy2 Mz2 1 10.277 3.022 0.000 -10.277 -3.022 7.556 2 8.597 -2.738 -7.556 -8.597 2.738 0.712 3 7.348 5.235 -0.712 -7.348 -0.235 7.550 4 7.348 -6.765 -7.550 -7.348 11.765 -15.611 5 11.765 7.348 13.782 -11.765 -7.348 15.611 <<< end of file >>> CEK REAKSI DAN BEBANRy1 +Ry2 = p1sinα + p2 +Q10.035 + 11.765 = 4.8 + 7 + 1021.8=21.8 (oke)

Deformation

Gambar Freebody

Gambar Bidang M, D, dan NBidang Momen

Mmaks = M1+Ra.x=1/2qx2

= 0,712 + 5,23.2,39 + ½.2.2,392

=18,92Gambar Bidang D

Gambar Bidang N