problem #1: MATLAB program implementation & verification for truss system
a) Considering a general truss member with orientation (i.e. different local and global coordinate
system) write four functions in MATLAB to perform the following tasks:
1. Compute element length (L) and direction cosines (l & m). (10 points)
2. Form element stiffness matrix. (10 points)
3. Assemble the global stiffness matrix. (25 points)
4. Calculate element outputs: strains, stresses and nodal forces. (20 points)
Note: Write the functions as general as possible.
b) Verify the implementation by solving the example problem discussed in the class. (15 points)
Submit the print outs of the functions and the verification file with outputs.
Problem
#2: Problem solving using hand calculation & MATLAB program
Solve the truss problem given in Figure 2 with H = 5 kN and P = 10 kN, A = 3.0 x 10-4
m
2 and E
= 70 GPa. Calculate the a) displacements of the nodes, b) reaction forces and, c) stresses in the
elements. Compare your MATLAB results (30 points) with those from hand calculations (40
points).
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