Using MATLAB:

Statics problems often result in a set of linear equations that need to be solved in order to get the tensions and compressions in the bodies in the problem. In this problem, we will be exploring how to use MatLab to optimize the solution to such a problem. Consider a simply supported truss in the following diagram AB AC 300 BC W From the free body diagram on the right-hand side, we can derive a system of equations by enforcing static equilibrium. Thus, at each joint we require that the sum of forces in both the r and y direction are zero - COS Fe = 0 : F, = 0 : Fe=0 : -sin()TAB-sin(30)TBC = 0 cos(0)TAB-cos(30)TBC = W sin(30)TBC+Cr-0 COS Statics problems often result in a set of linear equations that need to be solved in order to get the tensions and compressions in the bodies in the problem. In this problem, we will be exploring how to use MatLab to optimize the solution to such a problem. Consider a simply supported truss in the following diagram AB AC 300 BC W From the free body diagram on the right-hand side, we can derive a system of equations by enforcing static equilibrium. Thus, at each joint we require that the sum of forces in both the r and y direction are zero - COS Fe = 0 : F, = 0 : Fe=0 : -sin()TAB-sin(30)TBC = 0 cos(0)TAB-cos(30)TBC = W sin(30)TBC+Cr-0 COS