Explanation Given information: The spring constants are is k 1 , k 2 , and k 3 . The applied force is F . Calculation: Calculate the net applied force acting on the springs in parallel as shown below. F net = k e x Here, k e is the equivalent spring constant and x is the stretched distance. Calculate the spring force acting on each spring as shown below. For spring 1: F 1 = k 1 x For spring 2: F 2 = k 2 x For spring 3: F 3 = k 3 x Calculate the net applied force acting on the three springs as shown below. F net = F 1 + F 2 + F 3 Substitute k e x for F<

Engineering Fundamentals: An Introduction to Engineering

6th Edition

ISBN: 9780357391273

Author: Saeed Moaveni

Publisher: Cengage Learning US

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Chapter 10, Problem 49P

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Prove that the equivalent spring constant ke=k1+k2+k3 in parallel.

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Chapter 10, Problem 48P

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Engineering Fundamentals: An Introduction to Engineering

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Prove that the equivalent spring constant k e = k 1 + k 2 + k 3 in parallel.

Solution Summary: The author explains how to prove the equivalent spring constant k_e and the net applied force acting on the three springs.

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Prove that the equivalent spring constant ke=k1+k2+k3 in parallel.

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Chapter 10 Solutions