fixed beam by two supports and load concrete calculate shear force diagram and bending moment diagram and deflction in matlab

main.m
% Define properties of the beam
L = 10; % Length of beam in meters
E = 30e6; % Young's modulus in N/m^2
I = 1000; % Moment of inertia in m^4

% Define the distributed load on the beam
w = 20; % Distributed load in N/m

% Calculate the reactions at the supports
R1 = w*L/2;
R2 = w*L/2;

% Define the x positions along the beam
x = linspace(0, L, 1000);

% Calculate the shear force and bending moment at each position
V = R1 - w*x; % Shear force equation
M = R1*x - 0.5*w*x.^2; % Bending moment equation

% Calculate the deflection of the beam
delta = w/(24*E*I)*x.*(x.^3-2*L*x.^2+L^3);

% Plot the shear force diagram
figure;
plot(x, V, 'b', 'LineWidth', 2);
xlabel('Position along beam (m)');
ylabel('Shear force (N)');
title('Shear Force Diagram');

% Plot the bending moment diagram
figure;
plot(x, M, 'r', 'LineWidth', 2);
xlabel('Position along beam (m)');
ylabel('Bending moment (Nm)');
title('Bending Moment Diagram');

% Plot the deflection of the beam
figure;
plot(x, delta, 'g', 'LineWidth', 2);
xlabel('Position along beam (m)');
ylabel('Deflection (m)');
title('Deflection of the beam');
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