i. A motor driving a solid circular steel shaft transmits 30 kW to a gear at B - Figure 1(b). The allowable shear stress in the steel is 41 MPa. ii. What is the required diameter d of the shaft if it is operated at 8 hertz? What is the required diameter d if it is operated at 50 hertz?

i. A motor driving a solid circular steel shaft transmits 30 kW to a gear at B - Figure 1(b). The allowable shear stress in the steel is 41 MPa. ii. What is the required diameter d of the shaft if it is operated at 8 hertz? What is the required diameter d if it is operated at 50 hertz?

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

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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

(b)
i.
A motor driving a solid circular steel shaft transmits 30 kW to a gear at B - Figure
1(b). The allowable shear stress in the steel is 41 MPa.
ii.
What is the required diameter d of the shaft if it is operated at 8 hertz?
What is the required diameter d if it is operated at 50 hertz?
Motor
GIC
Figure 1(b)
B

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