A machine of mass m 500 kg is mounted on a simply supported steel beam of I 2 m having rectangular cross section (depth = 0.1 m, width = 1.2 m) and Young's modulus E = 2.06 x 101 N/m2. To reduce the vertical deflection of the beam, a spring of stiffness k is attached at the mid- %3D span, as shown in Figure. Determine the value of k needed to reduce the deflection of the beah to one-third of its original value. Assume that the mass of the beam is negligible."

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
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Vibration- Fourth Class/University of Tikrit
Mechanical Engineering
kea
kg
2kcke
kea
2ke
Н.W3
kg+2kc
A machine of mass m = 500 kg is mounted on a simply supported steel beam of l= 2 m having
rectangular cross section (depth = 0.1 m, width = 1.2 m) and Young's modulus E = 2.06 x 1011
N/m2. To reduce the vertical deflection of the beam, a spring of stiffness k is attached at the mid-
span, as shown in Figure. Determine the value of k needed to reduce the deflection of
one-third of its original value. Assume that the mass of the beam is negligible."
cam to
aha
cer
Transcribed Image Text:Vibration- Fourth Class/University of Tikrit Mechanical Engineering kea kg 2kcke kea 2ke Н.W3 kg+2kc A machine of mass m = 500 kg is mounted on a simply supported steel beam of l= 2 m having rectangular cross section (depth = 0.1 m, width = 1.2 m) and Young's modulus E = 2.06 x 1011 N/m2. To reduce the vertical deflection of the beam, a spring of stiffness k is attached at the mid- span, as shown in Figure. Determine the value of k needed to reduce the deflection of one-third of its original value. Assume that the mass of the beam is negligible." cam to aha cer
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