i) the torque acting on the shaft; ii) the required external and internal diameters for the shaft; the torsional shear stress set-up in the shaft material at the inside surface of the hollow shaft, and sketch the stress distribution through the shaft wall; iii) iv) the angle of twist (in degrees) due to the torque.

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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Q.2 (a)
A hollow steel shaft of length 1.75 m transmits 2000 kW of power at a speed of
150 rev/min. The inside diameter is to be 0.75 times the outside diameter. The
maximum allowable torsional shear stress for the steel is 130 MN/m and the
modulus of rigidity (G) for the steel is 83 GN/m?. Given that a factor of safety of
2 is required for the shaft, determine:
i)
the torque acting on the shaft;
ii)
the required external and internal diameters for the shaft;
ii)
the torsional shear stress set-up in the shaft material at the inside surface
of the hollow shaft, and sketch the stress distribution through the shaft
wall;
iv) the angle of twist (in degrees) due to the torque.
Transcribed Image Text:Q.2 (a) A hollow steel shaft of length 1.75 m transmits 2000 kW of power at a speed of 150 rev/min. The inside diameter is to be 0.75 times the outside diameter. The maximum allowable torsional shear stress for the steel is 130 MN/m and the modulus of rigidity (G) for the steel is 83 GN/m?. Given that a factor of safety of 2 is required for the shaft, determine: i) the torque acting on the shaft; ii) the required external and internal diameters for the shaft; ii) the torsional shear stress set-up in the shaft material at the inside surface of the hollow shaft, and sketch the stress distribution through the shaft wall; iv) the angle of twist (in degrees) due to the torque.
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