euler beam in matlab

Here is an example of how to solve an Euler-Bernoulli beam bending problem using MATLAB. We will solve for the deflection of a beam loaded with a point load at the middle.

main.m
L = 1; % length of beam
E = 200E9; % Young's modulus of beam material
I = 8.33E-6; % area moment of inertia
w = 100; % point load in N
x = linspace(0,L,100); % coordinates along beam
D = zeros(1,100); % array to store deflection
for i = 1:length(x)
    if x(i) < L/2
        D(i) = (w*x(i)^2*(L-2*x(i)^2))/(24*E*I*L);
    else
        D(i) = (w*(L-x(i))^2*(2*x(i)^2-L))/(24*E*I*L);
    end
end
plot(x,D)
xlabel('Length of beam (m)')
ylabel('Beam deflection (m)')
title('Beam bending under point load')
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This code defines the length, Young's modulus, and area moment of inertia of the beam, as well as the location and magnitude of the point load. It then solves for the deflection at each point along the beam using the Euler-Bernoulli beam bending equations, and plots the result. You can modify the code to solve for different loading conditions or beam properties.