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Calfem - A finite element toolbox to MATLAB, version 3.3

Calfem - A finite element toolbox to MATLAB, version 3.3

Calfem - A finite element toolbox to MATLAB, version 3.3

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exs5Static analysisPurpose:Analysis of a plane frame.Description:A frame consists of one horizontal and two vertical beams according <strong>to</strong> the figurebelow.Pq 0A 1 , I 1 , EA 2 , I 2 , E6.0 mA 1 , I 1 , E4.0 mA 1 = 45.3e −4 m 2I 1 = 2510e −8 m 4A 2 = 142.8e −4 m 2I 2 = 33090e −8 m 4E = 2.10e 5 MPaP = 0.001 MNq 0 = 0.075 MN/mThe corresponding <strong>finite</strong> <strong>element</strong> model consists of three beam <strong>element</strong>s and twelvedegrees of freedom.6●5439●871 23 ●21111012 ●A <strong>to</strong>pology matrix Edof, a global stiffness matrix K and load vec<strong>to</strong>r f are defined. The<strong>element</strong> matrices Ke and fe are computed by the function beam2e. These matricesare then assembled in the global matrices using the function assem.>> Edof=[1 1 2 3 4 5 6;2 10 11 12 7 8 9;3 4 5 6 7 8 9];>> K=zeros(12); f=zeros(12,1); f(4)=1000;>> A1=45.3e-4; A2=142.8e-4;EXAMPLES 9.3 – 16

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