Oues 1 A machine of mass ? = 500 ?? is mounted on a simply supported steel beam of length ? = 2 ? having a rectangular cross section (height = 0.1 ? and breadth = 1.2 ?) and Young’s modulus ? = 2.06 × 1011 ?/?2 . To reduce the vertical deflection of the beam, a spring of stiffness ? is attached at mid-span, as shown in the figure Determine the value of ? needed to reduce the deflection of the beam by: 25 per cent of its original value. 50 per cent of its original value. 75 per cent of its original value.  Assume that the mass of the beam is negligible. Given that the stiffness of the beam and the moment of inertia, respectively, can be calculated as ?beam = 48?? /?3 and ? =1 /12 ?ℎ3

Refrigeration and Air Conditioning Technology (MindTap Course List)
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ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter1: Heat, Temperature, And Pressure
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Oues 1 A machine of mass ? = 500 ?? is mounted on a simply supported steel beam of length ? = 2 ? having a rectangular cross section (height = 0.1 ? and breadth = 1.2 ?) and Young’s modulus ? = 2.06 × 1011 ?/?2 . To reduce the vertical deflection of the beam, a spring of stiffness ? is attached at mid-span, as shown in the figure Determine the value of ? needed to reduce the deflection of the beam by:

  1. 25 per cent of its original value.
  2. 50 per cent of its original value.
  3. 75 per cent of its original value.

 Assume that the mass of the beam is negligible. Given that the stiffness of the beam and the moment of inertia, respectively, can be calculated as ?beam = 48?? /?3 and ? =1 /12 ?ℎ3

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