A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 35 m/s as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 0.3 m as shown on the graph. Determine the maximum compression x of the outer springs. 35 m/s Deceleration m/s² 5550 3700 1850 0 0.3 0.6 x, m

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 35 m/s as it
contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases
the deceleration rate when the compression exceeds 0.3 m as shown on the graph. Determine the maximum compression x of the
outer springs.
35 m/s
Answer: x =
Deceleration
m/s²
5550
3700
1850
0
0.3
0.6
m
x, m
Transcribed Image Text:A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 35 m/s as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 0.3 m as shown on the graph. Determine the maximum compression x of the outer springs. 35 m/s Answer: x = Deceleration m/s² 5550 3700 1850 0 0.3 0.6 m x, m
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