EBK 3N3-EBK: INDUSTRIAL MOTOR CONTROL
EBK 3N3-EBK: INDUSTRIAL MOTOR CONTROL
7th Edition
ISBN: 9780176919962
Author: Herman
Publisher: VST
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Chapter 14, Problem 1RQ

Should a metal bar be heated or cooled to make it expand?

Expert Solution & Answer
Check Mark
To determine

Whether the heating of a metal bar results in expansion of it, or cooling results in expansion of it.

Explanation of Solution

In general, all the metals expand on heating and contract on cooling but the rate of expansion and contraction differs for every metals. The rate of expansion depends on the following two factors:

  1. 1. The type of metal used.
  2. 2. The magnitude of temperature.

Thus, the expansion of metal bar results due to heating and not cooling.

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motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine: a) the minimum permissible diameter for aluminum shafts (1) and (2) b) the minimum permissible diameter for steel shaft (3). c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).
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