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Numerical Analysis TA

Numerical Analysis TA. Lesson 1: Matrix Structural Analysis with MATLAB Professor: Dr. Shahverdiani TA: Amir Mortazavi. Functions in MATLAB (Sorter Function). Matrix Structural Analysis By HOSSEIN RAHAMI. Program Data.m Program MSA.m. Example. Find Supports forces. P=50 kN

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Numerical Analysis TA

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  1. Numerical Analysis TA Lesson 1: Matrix Structural Analysis with MATLAB Professor: Dr. Shahverdiani TA: Amir Mortazavi

  2. Functions in MATLAB (Sorter Function)

  3. Matrix Structural AnalysisBy HOSSEIN RAHAMI • Program Data.m • Program MSA.m

  4. Example • Find Supports forces. • P=50 kN • E=2.0*107 N/cm2 • L=200 cm • A=10 cm2 • IZ=10 cm4 • IY=10 cm4

  5. Step 1 DataT2D.m function D = DataT2D %Units Kg & Cm m=4;n=4; % Members & Nods Coord=[0 200;173.25 100;346.5 0;0 0];Coord(:,3)=0; % coordinate of nodes Con=[1 2;4 2;2 3;4 3];Con(:,3:4)=0; % connectivity & release Re=ones(n,6);Re(2:3,1:2)=zeros(2,2); % degrees of freedom for each node Load=zeros(n,6);Load(3,2)=-10;Load(2,2)=-5; % concentrated loads on nodes w=zeros(m,3); E=ones(1,m)*2e6;nu=0.3;G=E/(2*(1+nu)); A=ones(1,m)*10;Iz=ones(1,m)*10;Iy=ones(1,m)*10;J=ones(1,m)*5; St=zeros(n,6); be=zeros(1,m); D=struct('m',m,'n',n,'Coord',Coord','Con',Con','Re',Re','Load',... Load','w',w','E',E','G',G','A',A','Iz',Iz','Iy',Iy','J',J','St',St','be',be'); end

  6. Step 2 • Go to the Directory of MATLAB Which the MSA.m Exists.

  7. Step 3 • Run “D=DataT2D; [Q,V,R]=MSA(D)” In Command Window. • D= Input Data • Q= Internal forces and moments in local coordinate system (12*m) • V= Deflections in global coordinate system (6*n) • R= Reactions for supported nodes in global coordinate system (6*n)

  8. Results

  9. Homework AssignmentDeadline: 14/7/92 • یکی از نمونه سوالات خرپای استاتیک خود را به دلخواه با استفاده از کد MSA تحلیل نمایید سپس جواب های حاصل را با جواب های حاصل از روش های دقیق مقایسه نمایید. (تمامی پارامترهای مورد نیاز را می توانید به گونه ای معقول فرض نمایید.)

  10. Quiz :15/7/92 THE END

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