calculate shear force diagram and bending moment diagram and deflection for indetermined beam in matlab

main.m
% Define the beam properties
L = 5; % Length of the beam (in meters)
E = 200e9; % Young's modulus of the beam material (in Pascal)
I = 1.3333e-5; % Moment of inertia of the beam (in meters^4)
q = 1000; % Uniformly distributed load on the beam (in Newton/meter)

% Create symbolic variables
syms x

% Define the load and boundary conditions
V = @(x) -q*x; % Shear force equation
M = @(x) -q*x.^2/2; % Bending moment equation
w = @(x) -q*x.^3/(6*E*I) - (q*L^2*x)/(2*E*I) + (q*L^3)/(6*E*I); % Deflection equation

% Plotting the shear force diagram
figure
fplot(V, [0 L], 'LineWidth', 1.5)
title('Shear Force Diagram')
xlabel('Position along the beam (m)')
ylabel('Shear Force (N)')
grid on

% Plotting the bending moment diagram
figure
fplot(M, [0 L], 'LineWidth', 1.5)
title('Bending Moment Diagram')
xlabel('Position along the beam (m)')
ylabel('Bending Moment (Nm)')
grid on

% Plotting the deflection diagram
figure
fplot(w, [0 L], 'LineWidth', 1.5)
title('Deflection Diagram')
xlabel('Position along the beam (m)')
ylabel('Deflection (m)')
grid on
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This code calculates and plots the shear force diagram, bending moment diagram, and deflection for an indeterminate beam using MATLAB. The beam properties, load, and boundary conditions are defined, and symbolic variables are created for position along the beam. Equations for shear force, bending moment, and deflection are defined based on the given load and beam properties. Finally, the diagrams are plotted using the fplot function.

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