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I need Matlab Code of this Question

I need Matlab Code of this Question

The force formulation of the symmetric truss shown results in the joint equilibrium equation:s where ccos (0) and ssin (0). Solve the system as a function of theta and determine the value of theta for which P2 P. One method of solution is to solve the linear systems for a range of theta values, create interpolation polynomials f (0) and g(0) for P2 and P4, respectively, and then find the common point by finding the roots of the equation f (e) g(e) 0

Explanation / Answer

Matlab code:

%Start of matlab code
clc
clear variables

%Define variables
syms theta W
c = cos(theta);
s = sin(theta);

%Define matrices
A = [c 1 0 0 0;0 s 0 0 1;0 0 2*s 0 0;0 -c c 1 0;0 s s 0 0];
B = [0; 0; W; 0; 0];

%Solve for P
P = A^-1*B;

%Set the condition P2 = P4
eqn = P(2) == P(4);

%Solve equation
sol = solve(eqn);
sol = eval(sol);

soldeg = sol*180/pi; %Convert radians to degrees
%End of matlab code

The above matlab code gives the solutions in variables sol (in radians) and soldeg (in degrees). It give two solutions 60° and -60°. Which are theoretically possible solutions. However, taking into account the truss structure, -60° can be eliminated. Therefore, the solution is 60°.

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