Mechanics of Materials
Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 11.2, Problem 10P

The beam has an allowable normal stress of σallow =150 MPa and an allowable shear stress of τallow = 80 MPa. Assume there is a pin at A and a roller support at B.

Chapter 11.2, Problem 10P, The beam has an allowable normal stress of allow =150 MPa and an allowable shear stress of allow =

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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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Mechanics of Materials

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