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 K 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 тm4 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 3. The maximum allowable value of T considering the given maximum permissible angle of twist for the entire shaft (express your answer in kNm): T= kNm 4. The corresponding maximum shear stress experienced by pipe KDQ and rod DQC considering the maximum allowable value of T (express your answers in MPa): Тріре,таz MPa Trod,max MPа

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 K 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 тm4 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 3. The maximum allowable value of T considering the given maximum permissible angle of twist for the entire shaft (express your answer in kNm): T= kNm 4. The corresponding maximum shear stress experienced by pipe KDQ and rod DQC considering the maximum allowable value of T (express your answers in MPa): Тріре,таz MPa Trod,max MPа

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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