The truss structure is composed of five members and is subjected to two loads as shown below. The displacements of the two unsupported nodes are given by the equation system in the figure. Determine the nodal displacements (i = 1, 2... 4) using the Gauss-Jordan method. Note: Use non-dimensional variables for the equation system.
Original Equation: [K]{u} = {F}
Non-dimensional Equation: [K]{} = {F}
Non-dimensional variables: [K] = [K]/E, {u} = {}, {F} = {F}/EA
Where A = 1 in^2, L = 20 in, E = 30 * 10^6 psi.
fP = 0
P = 500 lb
P = 1000 lb
Figure 3.20: Five-member truss.
and 3, and in^2 for members 4 and 5. Young's modulus of the material is
the following equilibrium equations:
5
1
0
-
11 12 13
500
1
5 0 4
0.375 * 10^6 0
0
5 1
0
0
4 -1
14
1000
