EXAMPLE 5.4 A solid steel shaft AB, shown in Fig. 5-11, is to be used to transmit 5 hp from the motor M to which it is attached. If the shaft rotates at w- 175 rpm and the steel has an allowable shear stress of 7allow - 100 MPa determine the required diameter of the shaft to the nearest mm. M Fig. 5-11

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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EXAMPLE 5.4
A solid steel shaft AB,shown in Fig. 5-11, is to be used to transmit 5 hp from
the motor M to which it is attached. If the shaft rotates at e = 175 rpm and
the steel has an allowable shear stress of 7,llow = 100 MPa determine the
required diameter of the shaft to the nearest mm.
M
Fig. 5-11
SOLUTION
The torque on the shaft is determined from Eq. 5-10, that is, P = To.
Expressing Pin watts and o in rad/s, we have
(746 W
P = (5 hp)(he) = 3730 W
2m rad
1 rev
175 rev
I min
60 s
= 18.33 rad/s
min
Thus,
P = Tw:
3730 W/s = T18.33 rad/s)
8,00 x 9,25 in
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Transcribed Image Text:41,9 15% O 4G 10:21 KB/dtk Zoom v Leave Is in SI Units-Pearson (2017).pdf - Adobe Reader 213 (216 of 899) 100% EXAMPLE 5.4 A solid steel shaft AB,shown in Fig. 5-11, is to be used to transmit 5 hp from the motor M to which it is attached. If the shaft rotates at e = 175 rpm and the steel has an allowable shear stress of 7,llow = 100 MPa determine the required diameter of the shaft to the nearest mm. M Fig. 5-11 SOLUTION The torque on the shaft is determined from Eq. 5-10, that is, P = To. Expressing Pin watts and o in rad/s, we have (746 W P = (5 hp)(he) = 3730 W 2m rad 1 rev 175 rev I min 60 s = 18.33 rad/s min Thus, P = Tw: 3730 W/s = T18.33 rad/s) 8,00 x 9,25 in •.. Unmute Start Video Share Participants More
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