EP WEBASSIGN FOR MOAVENI'S ENGINEERING
EP WEBASSIGN FOR MOAVENI'S ENGINEERING
6th Edition
ISBN: 9780357126592
Author: MOAVENI
Publisher: CENGAGE CO
Question
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Chapter 18, Problem 1P
To determine

Find the stiffness of each spring and the stiffest spring.

Expert Solution & Answer
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Answer to Problem 1P

The stiffness of each spring is kA=2.5Nmm, kB=4Nmm, and kC=1Nmm, the stiffest spring is Spring B.

Explanation of Solution

Formula used:

Formula used to calculate the spring force is,

F=kx (1)

Here,

k is the stiffness factor or spring constant,

x is the deflection.

Calculation:

Refer to figure Problem 18.1 in textbook, the graph with force-deflection relationships for three springs A, B and C are given.

Rearrange equation (1) to find k.

k=Fx (2)

Refer to Figure Problem 18.1 in textbook,

For spring A,

At xA=4mm, FA=10N

For spring B,

At xB=10mm, FB=40N

For spring C,

At xC=10mm, FC=10N

Substitute kA for k, 10N for F, and 4mm for x in equation (2),

kA=10N4mm=2.5Nmm (3)

Substitute kB for k, 40N for F, and 10mm for x in equation (2),

kB=40N10mm=4Nmm (4)

Substitute kC for k, 10N for F, and 10mm for x in equation (2),

kC=10N10mm=1Nmm (5)

Comparing the values in equation (3), (4) and (5), the spring B is the stiffest spring.

Therefore, the stiffness of each spring is kA=2.5Nmm, kB=4Nmm, and kC=1Nmm, the stiffest spring is spring B.

Conclusion:

Thus, the stiffness of each spring is kA=2.5Nmm, kB=4Nmm, and kC=1Nmm, the stiffest spring is spring B.

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Chapter 18 Solutions

EP WEBASSIGN FOR MOAVENI'S ENGINEERING

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