Consider the compound shaft KDQC which is composed of a 300 mm long solid rod DQC (G = 35 GPa) fitted snuggly (up to a length of 200 mm) into a 600 mm (G = 63 GPa) long pipe KDQ. The rod has a diameter of 170 mm and the pipe has an outer diameter of 210 mm with a wall thickness of 20 mm. Two concentrated torques are applied at Q and C with magnitudes and directions as shown. Note that the end K of the pipe is fixed to a wall. ø210mm 20mm C 2.5T T 400mm 200 100 mm mm If the maximum allowable twist at any section of the entire compound shaft is 0.0005 rad, determine the following: 1. The polar moment of inertia of pipe KDQ and of the of rod DQC. x108 mm4 x107 mm4 Jpipe Jrod 2. The internal torques in pipe KDQ and rod DQC at section DQ in terms of the unknown applied torque T: TpQ.pipe TpQ,rod T
Consider the compound shaft KDQC which is composed of a 300 mm long solid rod DQC (G = 35 GPa) fitted snuggly (up to a length of 200 mm) into a 600 mm (G = 63 GPa) long pipe KDQ. The rod has a diameter of 170 mm and the pipe has an outer diameter of 210 mm with a wall thickness of 20 mm. Two concentrated torques are applied at Q and C with magnitudes and directions as shown. Note that the end K of the pipe is fixed to a wall. ø210mm 20mm C 2.5T T 400mm 200 100 mm mm If the maximum allowable twist at any section of the entire compound shaft is 0.0005 rad, determine the following: 1. The polar moment of inertia of pipe KDQ and of the of rod DQC. x108 mm4 x107 mm4 Jpipe Jrod 2. The internal torques in pipe KDQ and rod DQC at section DQ in terms of the unknown applied torque T: TpQ.pipe TpQ,rod T
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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