For the five-spring assemblage shown in the figure above, assume the rigid vertical bars at nodes 2 and 3 connecting the springs remain vertical at all times but are free to slide or displace left or right. There is an applied force at node 3 of F = 3,000 N to the right. Let (¹) = 500 N/mm, k(2) = k(3)= 300 N/mm, and k(4) = k(5) = 400 N/mm, Determine the displacements at nodes 2 and 3. (Enter your answers to three significant figures.) U₂ = mm Uz = Determine the reaction force at node 1. (Enter your answer to three significant figures.) F1z = N Determine the reaction force at node 4. (Enter your answer to three significant figures.) F4z = N mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.8.10P: A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see...
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For the five-spring assemblage shown in the figure above, assume the rigid vertical bars at nodes 2 and 3 connecting the springs remain vertical at all times but are free to slide or displace left or
right. There is an applied force at node 3 of F = 3,000 N to the right. Let k(1) 500 N/mm,
k(2)
= 300 N/mm, and k(4)
k (5)
Determine the displacements at nodes 2 and 3.
(Enter your answers to three significant figures.)
U2
Uz =
Determine the reaction force at node 1.
(Enter your answer to three significant figures.)
Fix
N
=
mm
=
F
mm
Determine the reaction force at node 4.
(Enter your answer to three significant figures.)
N
FAC
=
= k (³)
=
=
= 400 N/mm.
Transcribed Image Text:For the five-spring assemblage shown in the figure above, assume the rigid vertical bars at nodes 2 and 3 connecting the springs remain vertical at all times but are free to slide or displace left or right. There is an applied force at node 3 of F = 3,000 N to the right. Let k(1) 500 N/mm, k(2) = 300 N/mm, and k(4) k (5) Determine the displacements at nodes 2 and 3. (Enter your answers to three significant figures.) U2 Uz = Determine the reaction force at node 1. (Enter your answer to three significant figures.) Fix N = mm = F mm Determine the reaction force at node 4. (Enter your answer to three significant figures.) N FAC = = k (³) = = = 400 N/mm.
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