A reciprocating pump, of mass 68.6 kg, is mounted at the middle of a steel plate of thickness 0.8 cm, width 50.4 cm, and length 279 cm, clamped along two edges as shown in the accompanying figure. During operation of the pump, the plate is subjected to a harmonic force F(t)=301 cos(84.60t) N. Find the amplitude of vibration of the plate. Given that the equivalent stiffness of the plate can be calculated as k=192EI / l^3and the young modulus is E=200 GPa.
A reciprocating pump, of mass 68.6 kg, is mounted at the middle of a steel plate of thickness 0.8 cm, width 50.4 cm, and length 279 cm, clamped along two edges as shown in the accompanying figure. During operation of the pump, the plate is subjected to a harmonic force F(t)=301 cos(84.60t) N. Find the amplitude of vibration of the plate. Given that the equivalent stiffness of the plate can be calculated as k=192EI / l^3and the young modulus is E=200 GPa.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A reciprocating pump, of mass 68.6 kg, is mounted at the middle of a steel plate of thickness 0.8 cm, width 50.4 cm, and length 279 cm, clamped along two edges as shown in the accompanying figure. During operation of the pump, the plate is subjected to a harmonic force F(t)=301 cos(84.60t) N. Find the amplitude of vibration of the plate.
Given that the equivalent stiffness of the plate can be calculated as k=192EI / l^3and the young modulus is E=200 GPa.
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F(t), x(t)
1
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