A 28-mm-diameter uniform steel shaft is 650 mm long between bearings. Demonstrate how rapidly Rayleigh's method converges for the uniform-diameter solid shaft by partitioning the shaft into first one, then two, and finally three elements. Take the value of acceleration due to gravity g to be 9.81 m/s², the value of y to be 7.65 × 10ª N/m³, and the value of E to be 207 × 10⁹ N/m². What is the critical speed of the shaft in rad/s for one element? What is the critical speed of the shaft in rad/s for two elements? What is the critical speed of the shaft in rad/s for three elements?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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What is the critical speed of the shaft in rad/s for one, two, and three elements?

A 28-mm-diameter uniform steel shaft is 650 mm long between bearings. Demonstrate how rapidly Rayleigh's method
converges for the uniform-diameter solid shaft by partitioning the shaft into first one, then two, and finally three elements.
Take the value of acceleration due to gravity g to be 9.81 m/s², the value of y to be 7.65 × 10ª N/m³, and the value of
E to be 207 × 10⁹ N/m².
What is the critical speed of the shaft in rad/s for one element?
What is the critical speed of the shaft in rad/s for two elements?
What is the critical speed of the shaft in rad/s for three elements?
Transcribed Image Text:A 28-mm-diameter uniform steel shaft is 650 mm long between bearings. Demonstrate how rapidly Rayleigh's method converges for the uniform-diameter solid shaft by partitioning the shaft into first one, then two, and finally three elements. Take the value of acceleration due to gravity g to be 9.81 m/s², the value of y to be 7.65 × 10ª N/m³, and the value of E to be 207 × 10⁹ N/m². What is the critical speed of the shaft in rad/s for one element? What is the critical speed of the shaft in rad/s for two elements? What is the critical speed of the shaft in rad/s for three elements?
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