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 = 205 N-m. A torque of T₁ = 65 N·m is removed from the shaft at A, and a torque of Tc = 140 N·m is 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 = 22 mm and a length of L₁ = 300 mm. Segment (2) has a diameter of d₂ = 33 mm and a length of L₂ = 905 mm. Determine the rotation angle of pulley C relative to pulley A. ΤΑ A Part 1 T₁ = (1) T₂: = L₁ i TB i B Determine the internal torques, T₁ and T2, in segments (1) and (2), respectively. Use the internal torque sign convention in Section 6.6. 12 N.m Tc N.m C X

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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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 = 205 N.m. A torque of T₁ = 65 N·m is removed from the shaft at A,
and a torque of Tc = 140 N·m is 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 = 22 mm and a length of L₁ 300 mm. Segment (2) has a diameter of d₂ = 33 mm
and a length of L2 = 905 mm. Determine the rotation angle of pulley C relative to pulley A.
=
=
ΤΑ
A
Part 1
T₁ =
(1)
T₂ = =
L₁
TB
i
B
L2₂
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
-x
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 = 205 N.m. A torque of T₁ = 65 N·m is removed from the shaft at A, and a torque of Tc = 140 N·m is 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 = 22 mm and a length of L₁ 300 mm. Segment (2) has a diameter of d₂ = 33 mm and a length of L2 = 905 mm. Determine the rotation angle of pulley C relative to pulley A. = = ΤΑ A Part 1 T₁ = (1) T₂ = = L₁ TB i B L2₂ 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 -x
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