Explanation Given information: The diameter of the solid shaft is 25 mm. The power delivered by the motor is 12 kW with turning of 50 rev sec . Gears A , B , and C removes power of 3 kW, 4 kW, and 5 kW. Calculation: The expression for the power transmitted ( P ) by the shaft is shown below: P = T ω (1) Here, the applied torque is T and the angular velocity of the shaft is ω . Rearrange Equation (1) to find the torque at F . T F = P F ω (2) Here, the power at motor F is P F . The expression for angular velocity of the shaft ( ω ) is shown below: ω = 2 π f (3) Here, the frequency of shaft’s rotation is f . Substitute 50 rev sec for f in Equation (3). ω = 2 π ( 50 rev sec ) = 314.1593 rad sec Substitute 12 kW for P F and 314.1593 rad sec for ω in Equation (2). T F = 12 kW 314.1593 rad sec = 12 kW ( 10 3 W 1 kW ) 314.1593 rad sec = 38.20 N ⋅ m Find the torque at A . T A = P A ω (4) Here, the power at gear A is P A . Substitute 3 kW for P A and 314.1593 rad sec for ω in Equation (4). T A = 3 kW 314.1593 rad sec = 3 kW ( 10 3 W 1 kW ) 314.1593 rad sec = 9.549 N ⋅ m Find the torque at B . T B = P B ω (5) Here, the power at gear B is P B . Substitute 4 kW for P B and 314.1593 rad sec for ω in Equation (5)

10th Edition

ISBN: 9780134319650

Author: Russell C. Hibbeler

Publisher: PEARSON

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Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft …

Question

Chapter 5.3, Problem 5.40P

To determine

The absolute maximum shear stress in the shaft.

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Chapter 5.3, Problem 5.39P

Chapter 5.3, Problem 5.41P

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Chapter 5 Solutions

Mechanics of Materials (10th Edition)

Ch. 5.3 - Determine the internal torque at each section and...Ch. 5.3 - Determine the. internal torque at each section and...Ch. 5.3 - The solid and hollow shafts are each subjected to...Ch. 5.3 - The motor delivers 10 hp to the shaft. If it...Ch. 5.3 - The solid circular shaft is subjected to an...Ch. 5.3 - The hollow circular shaft is subjected to an...Ch. 5.3 - The shaft is hollow from A to B and solid from B...Ch. 5.3 - Determine the maximum shear stress in the...Ch. 5.3 - Determine the maximum shear stress in the shaft at...Ch. 5.3 - Determine the shear stress a: point A on the...

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The absolute maximum shear stress in the shaft.

Solution Summary: The author calculates the absolute maximum shear stress in the shaft, based on the diameter of the solid shaft.

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The absolute maximum shear stress in the shaft.

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Chapter 5 Solutions