As shown in Figure (C), a machine of mass (m=500kg) 1s mounted on a simply supported steel beam of length (2-2m) having a rectangular cross-section with area moment of inertia (-1" m') and Young's modulus (E=2.06* 10" N/m²). To reduce the vertical deflection of the beam, a spring of stiffness (K) is attached at the mid-span. Determine the value of (K) needed to reduce the deflection of the beam to (one-third) of its original value. 1. Assume that the mass of the beam is negligible. Fig (C)

As shown in Figure (C), a machine of mass (m=500kg) 1s mounted on a simply supported steel beam of length (2-2m) having a rectangular cross-section with area moment of inertia (-1" m') and Young's modulus (E=2.06* 10" N/m²). To reduce the vertical deflection of the beam, a spring of stiffness (K) is attached at the mid-span. Determine the value of (K) needed to reduce the deflection of the beam to (one-third) of its original value. 1. Assume that the mass of the beam is negligible. Fig (C)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.40P: A thin steel beam AB used in conjunction with an electromagnet in a high-energy physics experiment...

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