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Question 4: A machine of 540 kg is bolted at the middle of two parallel simply supported steel beams. The clear span of the beam is 2.4 m. The moment of inertia of the cross-section of each beam is I = 4.2×10¯6 m². The Young's modulus of the steel is E = 200 GPa. When the machine is operating, it will generate a vertical force P(t)=Posinot. When the machine runs at 300 rpm, Po= 1500 N. Neglect the weight of the beams and assume 2% viscous damping in the system. Determine the amplitude of steady-state deflection of the beams at their midpoint when the machine runs at 300 rpm. machine 1.2 m 1.2 m Steel beams

Question 4: A machine of 540 kg is bolted at the middle of two parallel simply supported steel beams. The clear span of the beam is 2.4 m. The moment of inertia of the cross-section of each beam is I = 4.2×10¯6 m². The Young's modulus of the steel is E = 200 GPa. When the machine is operating, it will generate a vertical force P(t)=Posinot. When the machine runs at 300 rpm, Po= 1500 N. Neglect the weight of the beams and assume 2% viscous damping in the system. Determine the amplitude of steady-state deflection of the beams at their midpoint when the machine runs at 300 rpm. machine 1.2 m 1.2 m Steel beams

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question 4: A machine of 540 kg is bolted at the middle of two parallel simply supported steel beams. The clear span of the beam is 2.4 m. The moment of inertia of the cross-section of each beam is I = 4.2×10¯6 mª. The Young's modulus of the steel is E 200 GPa. When the machine is operating, it will generate a vertical force P(t)=Posinot. When the machine runs at 300 rpm, Po= 1500 N. Neglect the weight of the beams and assume 2% viscous damping in the system. Determine the amplitude of steady-state deflection of the beams at their midpoint when the machine runs at 300 rpm. machine 1.2 m = 1.2 m Steel beams
Transcribed Image Text:Question 4: A machine of 540 kg is bolted at the middle of two parallel simply supported steel beams. The clear span of the beam is 2.4 m. The moment of inertia of the cross-section of each beam is I = 4.2×10¯6 mª. The Young's modulus of the steel is E 200 GPa. When the machine is operating, it will generate a vertical force P(t)=Posinot. When the machine runs at 300 rpm, Po= 1500 N. Neglect the weight of the beams and assume 2% viscous damping in the system. Determine the amplitude of steady-state deflection of the beams at their midpoint when the machine runs at 300 rpm. machine 1.2 m = 1.2 m Steel beams
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The given data is shown below:

Mass of machine=540 kgSpan=2.4mI=4.2×10-6 m4E=200 GPaPo=1500 N

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