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)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Q 3/
As shown in Figure (C), a machine of mass (m-500kg) is
mounted on a simply supported steel beam of length (L=2m)
having a rectangular cross-section with area moment of inertia
=" m') and Young's modulus (E=2.06* 10" N/m). 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.
Assume that the mass of the beam is negligible.
Fig (C)
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