A two-segment shaft is used to transmit power at constant speed through the pulleys shown in the figure. Power is input to the shaft at B through a torque of TB = 250 Nm. A torque of T₁ = 75 N-m is removed from the shaft at A, and a torque of Tc = 175 N-mis removed from the shaft at C. The external torques act in the directions indicated in the figure. Both shaft segments are made of phosphor bronze [G = 42 GPa] and both segments are solid shafts. Segment (1) has a diameter of d₁ = 24 mm and a length of L₁ = 305 mm. Segment (2) has a diameter of d₂ = 35 mm and a length of L₂ = 855 mm. Determine the rotation angle of pulley C relative to pulley A. ΤΑ T₁ = (1) T₂ = L i TB Mi B Determine the internal torques, T₁ and T₂, in segments (1) and (2), respectively. Use the internal torque sign convention in Section 6.6. L2 N•m Tc N.m X

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...
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A two-segment shaft is used to transmit power at constant speed through the pulleys shown in the figure. Power is input to the shaft
at B through a torque of TB 250 N-m. A torque of T₁ = 75 N·m is removed from the shaft at A, and a torque of Tc = 175 N-mis
removed from the shaft at C. The external torques act in the directions indicated in the figure. Both shaft segments are made of
phosphor bronze [G = 42 GPa] and both segments are solid shafts. Segment (1) has a diameter of d₁ = 24 mm and a length of
L₁ = 305 mm. Segment (2) has a diameter of d₂ = 35 mm and a length of L₂ = 855 mm. Determine the rotation angle of pulley C
relative to pulley A.
(1)
T₁ =
L₁
i
TB
T₂ = i
B
(2)
12
Determine the internal torques, T₁ and T₂, in segments (1) and (2), respectively. Use the internal torque sign convention in
Section 6.6.
N-m
Tc
N.m
с
Transcribed Image Text:A two-segment shaft is used to transmit power at constant speed through the pulleys shown in the figure. Power is input to the shaft at B through a torque of TB 250 N-m. A torque of T₁ = 75 N·m is removed from the shaft at A, and a torque of Tc = 175 N-mis removed from the shaft at C. The external torques act in the directions indicated in the figure. Both shaft segments are made of phosphor bronze [G = 42 GPa] and both segments are solid shafts. Segment (1) has a diameter of d₁ = 24 mm and a length of L₁ = 305 mm. Segment (2) has a diameter of d₂ = 35 mm and a length of L₂ = 855 mm. Determine the rotation angle of pulley C relative to pulley A. (1) T₁ = L₁ i TB T₂ = i B (2) 12 Determine the internal torques, T₁ and T₂, in segments (1) and (2), respectively. Use the internal torque sign convention in Section 6.6. N-m Tc N.m с
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