Page 236 - Shigley's Mechanical Engineering Design

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Deflection and Stiffness 211
4–114 Part a of the figure shows a weight W mounted between two springs. If the free end of spring
k 1 is suddenly displaced through the distance x = a, as shown in part b, determine the maximum
displacement y of the weight. Let W = 5 lbf, k 1 = 10 lbf/in, k 2 = 20 lbf/in, and a = 0.25 in.
Ignore the mass of each spring and solve using energy conservation.

x
y
k k
1 2
W
Problem 4–114 a
t
x
(a) (b)