For Finite Element Analysis M Files | Matlab Codes

% 1D Truss Finite Element Analysis clear; clc; close all; % --- Pre-processing --- % Material properties E = 210e9; % Young's modulus (Pa) A = 0.01; % Cross-sectional area (m^2)

% --- Apply Boundary Conditions (Penalty Method) --- penalty = 1e12 * max(max(K)); for i = 1:length(fixed_global) dof = fixed_global(i); K(dof, dof) = K(dof, dof) + penalty; F(dof) = penalty * 0; end matlab codes for finite element analysis m files

% B matrix for CST B = zeros(3, 6); for i = 1:3 j = mod(i,3)+1; k = mod(i+1,3)+1; B(1, 2*i-1) = (y(j)-y(k)) / (2*area); B(2, 2*i) = (x(k)-x(j)) / (2*area); B(3, 2*i-1) = (x(k)-x(j)) / (2*area); B(3, 2*i) = (y(j)-y(k)) / (2*area); end % 1D Truss Finite Element Analysis clear; clc;

% Element stiffness matrix (2x2) ke = (E * A / L) * [1, -1; -1, 1]; dof) = K(dof

% Number of nodes and DOFs (1 DOF per node for axial) n_nodes = length(nodes); n_dof = n_nodes;

% --- Assembly --- n_dof = size(nodes,1)*2; K = zeros(n_dof); F = F_applied;

% --- Post-processing --- % Reshape displacements: each row = [ux, uy] for node U_nodes = reshape(U, 2, [])';