An overhead crane can be modelled as the beam system shown in Figure Q3. The beam of length L = 2.6 m is made of steel with Young's modulus, E = 202.4 x 10⁹ N/m². The secon moment of area of the beam 1 = 3.7 x 10-4 m². The stiffness of the spring, k₁ = 6.2 x 10³ N/m. The mass due to the load being lifted, m₁ = 3.4 x 10² kg. The beam mass is negligible compared with the load. You are required to find the equivalent stiffness of the beam, and then as your answer, to find the natural frequency of the system in Hz. Fill this answer in the box below. (Express your answer to 2dp) Flg. Q3 Answer: m₁ k₁

An overhead crane can be modelled as the beam system shown in Figure Q3. The beam of length L = 2.6 m is made of steel with Young's modulus, E = 202.4 x 10⁹ N/m². The secon moment of area of the beam 1 = 3.7 x 10-4 m². The stiffness of the spring, k₁ = 6.2 x 10³ N/m. The mass due to the load being lifted, m₁ = 3.4 x 10² kg. The beam mass is negligible compared with the load. You are required to find the equivalent stiffness of the beam, and then as your answer, to find the natural frequency of the system in Hz. Fill this answer in the box below. (Express your answer to 2dp) Flg. Q3 Answer: m₁ k₁

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.4.16P: A round bar ABC of length 2L (see figure) rotates about an axis through the midpoint C with constant...

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