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Composite Plate Bending Analysis With Matlab Code [extra Quality]

% Solve for deflection and rotation w = q / (D11 * (1 - nu12^2)); theta_x = - (D12 / D11) * w; theta_y = - (D26 / D22) * w;

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q(x,y)=∑m=1∞∑n=1∞Qmnsin(mπxa)sin(nπyb)q open paren x comma y close paren equals sum from m equals 1 to infinity of sum from n equals 1 to infinity of cap Q sub m n end-sub sine open paren the fraction with numerator m pi x and denominator a end-fraction close paren sine open paren the fraction with numerator n pi y and denominator b end-fraction close paren For a uniformly distributed load % Solve for deflection and rotation w =

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$$\beginbmatrix M_x \ M_y \ M_xy \endbmatrix = \beginbmatrix D_11 & D_12 & D_16 \ D_12 & D_22 & D_26 \ D_16 & D_26 & D_66 \endbmatrix \beginbmatrix \kappa_x \ \kappa_y \ \kappa_xy \endbmatrix$$

For a plate of thickness ( h ), the displacements are: [ u(x,y,z) = z \theta_x(x,y), \quad v = z \theta_y(x,y), \quad w = w(x,y) ]