A shaft having length equal to 10 m and diameter equal to (50+ 01) mm is simplysupported at both ends. The shaft carries four masses (150 + 01) kg. (200 + 01) kg. (250+ 01) kg and (300 + 01) kg. These masses are located at a distance of 1.5 m, 2.5 m, 5.5m and 7.5 m from the left hand side support, respectively. The modulus of elasticity, E, forthe material of the shaft is 200 GN/m2 and mass density for the shaft material is 7500kg/m³. Determine critical speed of the shaft in revolutions per minute for the following twocases:1. Effect of the mass of the shaft is neglected.2. Effect of the mass of the shaft is considered.What is the usefulness of the answers determined in this problem?

The deflection of a simply supported beam, on which a load W is acting at a distance a from one end…

A shaft having length equal to 10 m and diameter equal to (50+ 01) mm is simply supported at both ends. The shaft carries four masses (150 + 01) kg, (200 + 01) kg, (250 + 01) kg and (300 + 01) 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: 1. Effect of the mass of the shaft is neglected. 2. 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+ 01) mm is simply supported at both ends. The shaft carries four masses (150 + 01) kg, (200 + 01) kg, (250 + 01) kg and (300 + 01) 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: 1. Effect of the mass of the shaft is neglected. 2. Effect of the mass of the shaft is considered. What is the usefulness of the answers determined in this problem?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

A shaft having length equal to 10 m and diameter equal to (50+ 01) mm is simply
supported at both ends. The shaft carries four masses (150 + 01) kg. (200 + 01) kg. (250
+ 01) kg and (300 + 01) 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:
1. Effect of the mass of the shaft is neglected.
2. Effect of the mass of the shaft is considered.
What is the usefulness of the answers determined in this problem?

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