A machine of mass 2000 kg originally is placed at midspan of a simply supporte- beam of length 1.2 m having a rectangular cross - section (depth = 0.1 m and width = 1.2 m) and Young's modulus of elasticity 206 GPa. To reduce the vertical deflection of the beam, two springs with the same stiffness will be attached at midspan, see figure below. Determine the value of the stiffness of the spring to reduce the deflection of the beam by 10%.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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What is the stiffness of the spring?

A machine of mass 2000 kg originally is placed at midspan of a simply supported
beam of length 1.2 m having a rectangular cross - section (depth = 0.1 m and
width = 1.2 m) and Young's modulus of elasticity 206 GPa. To reduce the vertical
deflection of the beam, two springs with the same stiffness will be attached at
midspan, see figure below. Determine the value of the stiffness of the spring to
reduce the deflection of the beam by 10%.
- e
Transcribed Image Text:A machine of mass 2000 kg originally is placed at midspan of a simply supported beam of length 1.2 m having a rectangular cross - section (depth = 0.1 m and width = 1.2 m) and Young's modulus of elasticity 206 GPa. To reduce the vertical deflection of the beam, two springs with the same stiffness will be attached at midspan, see figure below. Determine the value of the stiffness of the spring to reduce the deflection of the beam by 10%. - e
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