keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54 mm OD. The key thickness is 1.578 cm and the width is 1.11 cm. Compute the length of the same key. The permissible stress value of 60 MPa for shear and 90 MPa for tension. (Ans: 4.33 cm)

keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54 mm OD. The key thickness is 1.578 cm and the width is 1.11 cm. Compute the length of the same key. The permissible stress value of 60 MPa for shear and 90 MPa for tension. (Ans: 4.33 cm)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.10P: What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm,...

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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 is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

A keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54 mm OD. The key thickness is 1.578 cm and the width is 1.11 cm. Compute the length of the same key. The permissible stress value of 60 MPa for shear and 90 MPa for tension. (Ans: 4.33 cm)

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