calculate shear force diagram and bending moment diagram and deflection for beam fixed by two supports and load concerte in matlab

To calculate the shear force diagram, bending moment diagram, and deflection for a beam fixed by two supports with a concentrated load in Matlab, you can use the following steps:

1. Define the beam properties such as length, material properties, support conditions, and loadings.
2. Set up the differential equations that govern the beam behavior based on beam theory (Euler-Bernoulli beam theory for example).
3. Solve the differential equations to get the equations for shear force, bending moment, and deflection as functions of the position along the beam.
4. Use Matlab's symbolic math toolbox or numerical integration techniques to solve these equations.
5. Plot the shear force diagram, bending moment diagram, and deflection curve using Matlab's plotting capabilities.

Here is a basic example code snippet to illustrate these steps:

main.m
% Define beam properties
L = 5; % Length of the beam
E = 200e9; % Young's modulus of the material
I = 1e-4; % Moment of inertia of the beam
P = 1000; % Concentrated load value
a = 2; % Position of the concentrated load

syms x V M D % Define symbolic variables

% Shear force equation
V = P*(L-a)*(L-x)/(L-a);

% Bending moment equation
M = P*(L-a)*(L-x)^2/(2*L);

% Deflection equation
D = P*(L-x)^3*(6*L-3*x)/(6*E*I*L);

% Plot the shear force diagram
figure;
fplot(V, [0 L]);
title('Shear Force Diagram');
xlabel('Position along the beam');
ylabel('Shear Force');

% Plot the bending moment diagram
figure;
fplot(M, [0 L]);
title('Bending Moment Diagram');
xlabel('Position along the beam');
ylabel('Bending Moment');

% Plot the deflection curve
figure;
fplot(D, [0 L]);
title('Deflection Curve');
xlabel('Position along the beam');
ylabel('Deflection');
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You can modify the code according to your specific beam properties and loading conditions.