12 A line shaft ABCD, 9 metres long, has four pulleys A, B, C and D at equal distance apart. Power of 45 kW is being supplied to the shaft through the pulley C while the power is being taken off equally from the pulleys A, B and D. The shaft runs at 630 r.p.m. Calculate the most economical diameters for the various portions of the shaft so that the shear stress does not exceed 55 MPa. If the shear modulus is 85 GPa, determine the twist of the pulley D with respect to the pulley A. [Ans. 28 mm, 36 mm, 28 mm; 0.0985°]

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 3.12.4P: The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft...
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100 mmj
12 A line shaft ABCD, 9 metres long, has four pulleys A, B, C and D at equal distance apart. Power of 45
kW is being supplied to the shaft through the pulley C while the power is being taken off equally from
the pulleys A, B and D. The shaft runs at 630 r.p.m.
Calculate the most economical diameters for the various portions of the shaft so that the shear stress
does not exceed 55 MPa. If the shear modulus is 85 GPa, determine the twist of the pulley D with
respect to the pulley A.
[Ans. 28 mm, 36 mm, 28 mm ; 0.0985°]
Transcribed Image Text:100 mmj 12 A line shaft ABCD, 9 metres long, has four pulleys A, B, C and D at equal distance apart. Power of 45 kW is being supplied to the shaft through the pulley C while the power is being taken off equally from the pulleys A, B and D. The shaft runs at 630 r.p.m. Calculate the most economical diameters for the various portions of the shaft so that the shear stress does not exceed 55 MPa. If the shear modulus is 85 GPa, determine the twist of the pulley D with respect to the pulley A. [Ans. 28 mm, 36 mm, 28 mm ; 0.0985°]
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