Page 34 - Finite Element Modeling and Simulations with ANSYS Workbench

Introduction 19

c. Reaction forces at nodes 1 and 2
d. Forces in springs 1 and 2
1.7 A spring system is shown below
k 2
k
1 1 3
F 3 4 k 5 5
k
k 3
2 4
x

Given: k = k = k = k = k = k, F = P, and nodes 1, 2, and 5 are fixed;
3
5
2
1
4
3
Find:
a. Global stiffness matrix
b. Displacements of nodes 3 and 4
c. Reaction forces at nodes 1, 2, and 5
d. Forces in springs 2, 4, and 5