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Question 3 The tubular drive shaft for the propeller of a hovercraft is 6 m long. At full speed and power, the torque developed in the shaft is 160 kN·m. The shear modulus (G) of the shaft material is 75 GPa, and the maximum allowable shear stress is 90 MPa. (a) Determine the required inner diameter, given that the outer diameter is 250 mm. (b) What is the shear stress developed at a point in the cross-section of the shaft that is 15 mm radially inward from the outer surface? (c) What is the angle of twist of the shaft when it is operating at full speed and power? (d) If a solid shaft was used instead, what would be the required shaft diameter? (e) Given that the density of the shaft material is 7.86 g/cm³, determine the percentage weight saving achieved by using a tubular shaft as compared to a solid one.

Question 3 The tubular drive shaft for the propeller of a hovercraft is 6 m long. At full speed and power, the torque developed in the shaft is 160 kN·m. The shear modulus (G) of the shaft material is 75 GPa, and the maximum allowable shear stress is 90 MPa. (a) Determine the required inner diameter, given that the outer diameter is 250 mm. (b) What is the shear stress developed at a point in the cross-section of the shaft that is 15 mm radially inward from the outer surface? (c) What is the angle of twist of the shaft when it is operating at full speed and power? (d) If a solid shaft was used instead, what would be the required shaft diameter? (e) Given that the density of the shaft material is 7.86 g/cm³, determine the percentage weight saving achieved by using a tubular shaft as compared to a solid one.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question 3 The tubular drive shaft for the propeller of a hovercraft is 6 m long. At full speed and power, the torque developed in the shaft is 160 kN·m. The shear modulus (G) of the shaft material is 75 GPa, and the maximum allowable shear stress is 90 MPa. (a) Determine the required inner diameter, given that the outer diameter is 250 mm. (b) What is the shear stress developed at a point in the cross-section of the shaft that is 15 mm radially inward from the outer surface? (c) What is the angle of twist of the shaft when it is operating at full speed and power? (d) If a solid shaft was used instead, what would be the required shaft diameter? (e) Given that the density of the shaft material is 7.86 g/cm³, determine the percentage weight saving achieved by using a tubular shaft as compared to a solid one.
Transcribed Image Text:Question 3 The tubular drive shaft for the propeller of a hovercraft is 6 m long. At full speed and power, the torque developed in the shaft is 160 kN·m. The shear modulus (G) of the shaft material is 75 GPa, and the maximum allowable shear stress is 90 MPa. (a) Determine the required inner diameter, given that the outer diameter is 250 mm. (b) What is the shear stress developed at a point in the cross-section of the shaft that is 15 mm radially inward from the outer surface? (c) What is the angle of twist of the shaft when it is operating at full speed and power? (d) If a solid shaft was used instead, what would be the required shaft diameter? (e) Given that the density of the shaft material is 7.86 g/cm³, determine the percentage weight saving achieved by using a tubular shaft as compared to a solid one.
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