Explanation Given information: Deflection of the beam δ A = P l 3 48 E I Length L = 15 f t Modulus of elasticity E = 30 × 10 6 p s i And, Moment of inertia I = 2 × 10 − 3 f t 4 From figure: k = P δ s t k = P P L 3 / 48 E I < To determine (b) The frequency of vibration of the block attached to the center of the beam.

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ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

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Chapter 19.1, Problem 19.27P

To determine

(a)

The equivalent spring constant of the beam.

To determine

(b)

The frequency of vibration of the block attached to the center of the beam.

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Chapter 19.1, Problem 19.26P

Chapter 19.1, Problem 19.28P

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(a) The equivalent spring constant of the beam.

Solution Summary: The author explains the equivalent spring constant of the beam, which is k=853.33psi.