Shafts and pulleys are usually fastened together by means of a key, as shown in Fig. 2-8(a). Consider a pulley subject to a turning moment T of 1000 N-m keyed by a 1 x 1 x 8 cm key to the shaft. The shaft is 5 cm in dianieter. Determine the shear stress on a horizontal plane through the key.

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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Shafts and pulleys are usually fastened together by means of a key, as shown in Fig. 2-8(a). Consider a
pulley subject to a turning moment T of 1000 N m keyed by a 1 x1 x8 cm key to the shaft. The shaft
is 5 cm in dianieter. Determine the shear stress on a horizontal plane through the key.
1000 N - m
cm
I cm
Key-
I cm
T
5cm
(a)
(b)
Fig. 2-8
Transcribed Image Text:Shafts and pulleys are usually fastened together by means of a key, as shown in Fig. 2-8(a). Consider a pulley subject to a turning moment T of 1000 N m keyed by a 1 x1 x8 cm key to the shaft. The shaft is 5 cm in dianieter. Determine the shear stress on a horizontal plane through the key. 1000 N - m cm I cm Key- I cm T 5cm (a) (b) Fig. 2-8
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