indeterminate beam fixed by two hinged supports a calculate shear force diagram and bending moment diagram and deflection in matlab

To analyze an indeterminate beam fixed by two hinged supports and calculate the shear force diagram, bending moment diagram, and deflection using MATLAB, you can follow these general steps:

1. Define the properties of the beam (length, material properties, support conditions, applied loads, etc.).
2. Set up the equations representing the equilibrium of the beam segments and the compatibility conditions at the support points.
3. Solve the equations to determine the reactions at the supports and the shear force and bending moment distributions along the beam.
4. Integrate the shear force to get the bending moment distribution.
5. Integrate the bending moment to get the deflected shape of the beam.

Here's a general outline of how you might implement this in MATLAB:

main.m
% Define properties of the beam
L = 5; % Length of the beam
E = 200e9; % Young's modulus of the material
I = 1.2e-6; % Moment of inertia of the beam
q = 1000; % Uniformly distributed load

% Calculate reactions at the supports
A = [1, 1; L, 0];
b = [q*L/2; q*L^2/4];
R = A\b;

% Calculate shear force and bending moment distributions
x = 0:0.01:L;
V = q*L/2 - q.*x;
M = q.*x.*(L - x)/2;

% Calculate deflection of the beam
deflection = -q.*x.^2.*(6*L^2 - 4*L.*x + x.^2)/(24*E*I);

% Plot the diagrams
figure;
subplot(3,1,1);
plot(x,V);
title('Shear Force Diagram');
xlabel('Position');
ylabel('Shear Force');

subplot(3,1,2);
plot(x,M);
title('Bending Moment Diagram');
xlabel('Position');
ylabel('Bending Moment');

subplot(3,1,3);
plot(x,deflection);
title('Deflection of the Beam');
xlabel('Position');
ylabel('Deflection');
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This code will help you visualize the shear force diagram, bending moment diagram, and deflection of the beam. You may need to adjust the input parameters and equations based on the specific loading and support conditions of your beam.