Question

Three rigid bodies (Nodes 2, 3, and 4) are connected by five springs as shown below. Assume that the
bodies can only undergo translation in the horizontal direction. Horizontal force P2=1000 N and
P4=1500 N is applied to Elements 2 and 4, respectively. The spring constants in (N/mm) are given as:
k1=400, k2=500, k3=600, k4=100, and k5=300. Nodes 1 and 5 are fixed. Determine the nodal
displacements and reaction forces at the walls.

Problem 1. (3 points) Three rigid bodies (Nodes 2, 3, and 4) are connected by five springs as shown below. Assume that the bodies can only undergo translation in the horizontal direction. Horizontal force P2-1000 N and P4-1500 N is applied to Elements 2 and 4, respectively. The spring constants in (N/mm) are given as: ki-400, k2-500, k3-600, k 100, and ks-300. Nodes 1 and 5 are fixed. Determine the nodal displacements and reaction forces at the walls Show all the work by deriving each equation and moving equations in matrix form and then applying BC's and solving. Do not rename the nodes or elements!

Answer 1

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