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1.) A hollow shaft 4m long transmitted a torque of 25 kN-m. The total angle of twist in this length is 3 degrees and the corresponding maximum shear stress is 80 MPa. Determine the external and internal diameter of the shaft if G = 85 GPa.

1.) A hollow shaft 4m long transmitted a torque of 25 kN-m. The total angle of twist in this length is 3 degrees and the corresponding maximum shear stress is 80 MPa. Determine the external and internal diameter of the shaft if G = 85 GPa.

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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1.) A hollow shaft 4m long transmitted a torque of 25 kN-m. The total angle of twist in this length is 3 degrees and the corresponding maximum shear stress is 80 MPa. Determine the external and internal diameter of the shaft if G = 85 GPa. 2.) A shaft is required to transmit 245kW power at 240 rpm. the maximum torque is 50% more than the mean torque. the shear stress in the shaft is not to exceed 40N/ mm^2 and the twist is 1 degree per meter length. Taking G=80kN/mm^2, determine the diameter required if, a. the shaft is solid b. the shaft is hollow with external diameter twice the internal diameter 3.) What are the maximum diameter and shear stress induced in the solid shaft which will not twist more than 2 degrees in a length of 4.5m when subjected to a torque of 15 kN-m? G = 82 GPa 4.) A solid circular shaft has to transmit 155kW of power at 250 rpm. If the allowable shear stress is 85 MPa and the permissible twist is 1 degree in a length of 4 m, find the diameter of the shaft. G = 82 GPa 5.) A solid steel shaft in a rolling mill transmits 25 kW of power at 3 Hz. Determine the smallest safe diameter of the shaft if the shear stress is not to exceed 40 MPa and the angle of twist 0 is limited to 6°in a length of 4.5 m. Use G = 83 GPa 2023-05-21
Transcribed Image Text:1.) A hollow shaft 4m long transmitted a torque of 25 kN-m. The total angle of twist in this length is 3 degrees and the corresponding maximum shear stress is 80 MPa. Determine the external and internal diameter of the shaft if G = 85 GPa. 2.) A shaft is required to transmit 245kW power at 240 rpm. the maximum torque is 50% more than the mean torque. the shear stress in the shaft is not to exceed 40N/ mm^2 and the twist is 1 degree per meter length. Taking G=80kN/mm^2, determine the diameter required if, a. the shaft is solid b. the shaft is hollow with external diameter twice the internal diameter 3.) What are the maximum diameter and shear stress induced in the solid shaft which will not twist more than 2 degrees in a length of 4.5m when subjected to a torque of 15 kN-m? G = 82 GPa 4.) A solid circular shaft has to transmit 155kW of power at 250 rpm. If the allowable shear stress is 85 MPa and the permissible twist is 1 degree in a length of 4 m, find the diameter of the shaft. G = 82 GPa 5.) A solid steel shaft in a rolling mill transmits 25 kW of power at 3 Hz. Determine the smallest safe diameter of the shaft if the shear stress is not to exceed 40 MPa and the angle of twist 0 is limited to 6°in a length of 4.5 m. Use G = 83 GPa 2023-05-21
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