how to calculate deflection of a beam in matlab

To calculate the deflection of a beam, we can use the following MATLAB code:

main.m
% Define beam parameters
L = 1;              % Length of the beam
E = 2e11;           % Young's modulus of the beam material
I = 8e-6;           % Second moment of area of the beam
w = 1000;           % Distributed load on the beam

% Define discretization of the beam
N = 100;            % Number of elements
x = linspace(0,L,N); % Position vector along the beam

% Calculate the deflection of the beam
d = zeros(1,N);
for i = 1:N
    d(i) = (w*x(i)^2)/(6*E*I)*(3*L-x(i));
end

% Plot the deflection of the beam
plot(x,d);
xlabel('Position along beam');
ylabel('Deflection');
title('Deflection of the beam');
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In this code, we define the parameters of the beam, such as its length, Young's modulus, and second moment of area. We also define the distributed load on the beam, and discretize it using a set number of elements. Finally, we calculate the deflection of the beam at each element using the basic beam equation, and plot the result.

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