A steel shaft 3 m long is transmitting 1 MW at 240 rev/min. The working conditions to be satisfied by the shaft are: (a) the shaft must not twist more than 0.02 radian on a length of 10 diameters. (b) the working stress must not exceed 60 MN/m2. If the modulus of rigidity of steel is 80 GN/m2. what is: (i) the diameter of the shaft required. (ii)the actual working stress. (iii) the angle of twist of the 3 m length.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.7.8P: A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The...
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A steel shaft 3 m long is transmitting 1 MW at 240 rev/min. The working conditions to be satisfied
by the shaft are: (a) the shaft must not twist more than 0.02 radian on a length of 10 diameters.
(b) the working stress must not exceed 60 MN/m2. If the modulus of rigidity of steel is 80 GN/m2.

what is: (i) the diameter of the shaft required.
(ii)the actual working stress. (iii) the angle of twist of the 3 m length.
[Ans: 150 mm; 60 MN/m2 ; 0.030 rad]

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