Answered: A solid shaft 2 m. long is…

A solid shaft 2 m. long is stressed 60 MPa when transmitted a power of 50 kW at 2 rev / sec. If G = 83 GN / m2, determine the diameter of the shaft (mm.), and the angle of twist in the shaft.

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 3.7.12P

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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 solid shaft 2 m. long is stressed 60 MPa when transmitted a power of 50 kW at 2 rev / sec. If G = 83 GN / m², determine

the diameter of the shaft (mm.), and
the angle of twist in the shaft.

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