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
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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)
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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