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 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. Jpipe = 1.09 Jrod = 8.20 v x108 mm4 v x107 mm4 2. The internal torques in pipe KDQ and rod DQC at section DQ in terms of the unknown applied torque T: TpQ.pipe 1.05 TDQ,rod =0.455 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 =4.23 kNm 4. The corresponding maximum shear stress experienced by pipe KDQ and rod DQC considering the maximum allowable value of I (express your answers in M Pa): Тріре, таz 6.11 MPa Trod,max 4.38 v MPa

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 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. Jpipe = 1.09 Jrod = 8.20 v x108 mm4 v x107 mm4 2. The internal torques in pipe KDQ and rod DQC at section DQ in terms of the unknown applied torque T: TpQ.pipe 1.05 TDQ,rod =0.455 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 =4.23 kNm 4. The corresponding maximum shear stress experienced by pipe KDQ and rod DQC considering the maximum allowable value of I (express your answers in M Pa): Тріре, таz 6.11 MPa Trod,max 4.38 v MPa

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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