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: 9780134321158

Author: HIBBELER

Publisher: PEARSON

See similar textbooks

Concept explainers

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.3, Problem 5.39P

Chapter 5.3, Problem 5.41P

Students have asked these similar questions

A 3-in.-radius drum is rigidly attached to a 5-in.-radius drum as shown. One of the drums rolls without sliding on the surface shown, and a cord is wound around the other drum. Knowing that at the instant shown. point A has a velocity of 4.875 in./sin./s and an acceleration of 15.50 in./s2in./s2 , both directed to the right, determine the accelerations of points A, B, and C of the drums. The cord is wound around the 3 inch radius drum. Point B is at the bottom of the 5 inch radius drum. Point A is at the bottom of the 3 inch radius drum. Point C is on the right edge of the 5 inch radius drum. The accelerations of point B is______ in./s2 . The accelerations of point A is ______ in./s2 ______ ⦨ °. at what angle/direction The accelerations of point C is______ in./s2 ______ ⦪ °. at what angle/direction?

A total volume of mud is 1,000 bbls that has a mud weight of 9.1 ppg. Calculate the volumefractions of water, Bentonite, and the weight of Bentonite used. Density of powder Bentonite is 156 lbm/ft3

A 3-in.-radius drum is rigidly attached to a 5-in.-radius drum as shown. One of the drums rolls without sliding on the surface shown, and a cord is wound around the other drum. Knowing that at the instant shown. point A has a velocity of 4.875 in./sin./s and an acceleration of 15.50 in./s2in./s2 , both directed to the right, determine the accelerations of points A, B, and C of the drums. The cord is wound around the 3 inch radius drum. Point B is at the bottom of the 5 inch radius drum. Point A is at the bottom of the 3 inch radius drum. Point C is on the right edge of the 5 inch radius drum. The accelerations of point B is ______ in./s2 The accelerations of point A is ______ in./s2 _____⦨ °. The accelerations of point C is _______ in./s2 ____ ⦪ °.

Chapter 5 Solutions

Mechanics of Materials

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...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

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.

Concept explainers

The absolute maximum shear stress in the shaft.

Want to see the full answer?

Chapter 5 Solutions