Find the stiffness of each spring and the stiffest spring.
Answer to Problem 1P
The stiffness of each spring is
Explanation of Solution
Formula used:
Formula used to calculate the spring force is,
Here,
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
Refer to Figure Problem 18.1 in textbook,
For spring A,
At
For spring B,
At
For spring C,
At
Substitute
Substitute
Substitute
Comparing the values in equation (3), (4) and (5), the spring B is the stiffest spring.
Therefore, the stiffness of each spring is
Conclusion:
Thus, the stiffness of each spring is
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Chapter 18 Solutions
ENGINEERING FUNDAMENTALS
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- Engineering Fundamentals: An Introduction to Engi...Civil EngineeringISBN:9781305084766Author:Saeed MoaveniPublisher:Cengage Learning