code to determine nodal displacements for truss in matlab

main.m
% Input data
E = 200e9; % Young's modulus in Pa
A = 0.01; % Cross-sectional area in m^2
L = [5, 5, 5, 5, 5]; % Lengths of truss members in meters
F = [0, -10e3, 0, 0, -5e3]; % External forces in Newtons

% Stiffness matrix
K = zeros(6); % Initialize 6x6 global stiffness matrix
for i = 1:5
    k_local = (E*A/L(i)) * [1, -1; -1, 1]; % Local element stiffness matrix
    T = [2*i-1, 2*i, 2*i+1, 2*i+2]; % Index numbering for this element
    K(T, T) = K(T, T) + k_local; % Add local stiffness matrix to global stiffness matrix
end

% Applying boundary conditions
K_red = K([3:6], [3:6]); % Reduced stiffness matrix after applying boundary conditions
F_red = F([3:6]); % Reduced external forces

% Solving for displacements
U = K_red \ F_red;

% Adding back displacements of restrained nodes
U_disp = [0; 0; U];

disp('Nodal displacements:')
disp(U_disp)
853 chars
27 lines