Problem 7:A weight W=2400lb is supported by a spring (or springs) as shown in figure below. A certain naturalfrequency of vibration of the weight is desired, and the spring rate necessary is found to be 1500lb/in. Ajunkyard has a group of identical steel springs available with the following specifications:Mean diameter = 3 inSpring index = 6Number of active coils = 8Modulus of elasticity in shear = 12x10 psiModulus of elasticity in tension = 30x10 psi(a) How many springs should be used and how should the springs be arranged to have the springrate as close to the desired value as possible?(b) Assuming that each spring may be modified by cutting off as many turns as necessary andrefinishing the end of each spring, how many active coils must be removed from each spring togive the desired spring rate of 1500lb/in?(c) What is the maximum stress in each spring for (a) and (b) above?TSpring orSprings

W=2400lbK=1500 lb/inMean-diameter=3inSpring index=6Number of active coils=8Modulus of elasticity is…

Answered: f identical steel springs available…

Engineering

Mechanical Engineering

f identical steel springs available with the following specifications: liameter = 3 in index = 6

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Problem 7:
A weight W=2400lb is supported by a spring (or springs) as shown in figure below. A certain natural
frequency of vibration of the weight is desired, and the spring rate necessary is found to be 1500lb/in. A
junkyard has a group of identical steel springs available with the following specifications:
Mean diameter = 3 in
Spring index = 6
Number of active coils = 8
Modulus of elasticity in shear = 12x10 psi
Modulus of elasticity in tension = 30x10 psi
(a) How many springs should be used and how should the springs be arranged to have the spring
rate as close to the desired value as possible?
(b) Assuming that each spring may be modified by cutting off as many turns as necessary and
refinishing the end of each spring, how many active coils must be removed from each spring to
give the desired spring rate of 1500lb/in?
(c) What is the maximum stress in each spring for (a) and (b) above?
T
Spring or
Springs

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