A shaft having length equal to 10 m and diameter equal to (50 + 21) mm is simply supported at both ends. The shaft carries four masses (150 + 21) kg, (200 + 22) kg, (250 + 21) kg and (300 + 21) kg. These masses are located at a distance of 1.5 m, 2.5 m, 5.5 m and 7.5 m from the left hand side support, respectively. The modulus of elasticity, E, for the material of the shaft is 200 GN/m2 and mass density for the shaft material is 7500 kg/m3. Determine critical speed of the shaft in revolutions per minute for the following two cases: i. Effect of the mass of the shaft is neglected. ii. Effect of the mass of the shaft is considered. What is the usefulness of the answers determined in this problem?
A shaft having length equal to 10 m and diameter equal to (50 + 21) mm is simply supported at both ends. The shaft carries four masses (150 + 21) kg, (200 + 22) kg, (250 + 21) kg and (300 + 21) kg. These masses are located at a distance of 1.5 m, 2.5 m, 5.5 m and 7.5 m from the left hand side support, respectively. The modulus of elasticity, E, for the material of the shaft is 200 GN/m2 and mass density for the shaft material is 7500 kg/m3. Determine critical speed of the shaft in revolutions per minute for the following two cases: i. Effect of the mass of the shaft is neglected. ii. Effect of the mass of the shaft is considered. What is the usefulness of the answers determined in this problem?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 41PQ: In Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy...
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A shaft having length equal to 10 m and diameter equal to (50 + 21) mm is simply supported at both ends. The shaft carries four masses (150 + 21) kg, (200 + 22) kg, (250 + 21) kg and (300 + 21) kg. These masses are located at a distance of 1.5 m, 2.5 m, 5.5 m and 7.5 m from the left hand side support, respectively. The modulus of elasticity, E, for the material of the shaft is 200 GN/m2 and mass density for the shaft material is 7500 kg/m3. Determine critical speed of the shaft in revolutions per minute for the following two cases:
i. Effect of the mass of the shaft is neglected.
ii. Effect of the mass of the shaft is considered.
What is the usefulness of the answers determined in this problem?
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