Share
Explore BrainMass

Stiffness matrices and displacements in spring systems

For the spring system shown in the attached diagram, find:
a) The stiffness matrix for each element
b) The unconstrained global stiffness matrix
c) The constrained (reduced) stiffness matrix
d) The displacements of node 2 and node 3
e) The reaction forces at node 1 and node 4

For the given spring system in the second attachment, find:
a) The stiffness matrix for each element (symbolically)
b) The unconstrained global stiffness matrix (symbolically)
c) The constrained (reduced) stiffness matrix (symbolically)

Take k1 = 100N/mm, k2 = 200N/mm, k3 = 300N/mm, k4 = 400 N/mm, P1 = 1000N, P3 = 3000N
d) The displacements of nodes 1, 2, 3 (numerically)
e) The reaction forces at node 4 and node 5 (numerically)

Attachments

Solution Summary

The solution calculates stiffness matrices for different elements of springs systems as well as displacements and reaction forces.

$2.19