6. The motor delivers 40 hp to the 304 stainless steel shaft while it rotates at 20 Hz. The shaft is supported on smooth bearings at A and B, which allow free rotation of the shaft. The gears C and D fixed to the shaft remove 25 hp and 15 hp, respectively. Determine the diameter of the shaft to the nearest 1/8 in. if the allowable stress is Tallow = 8ksi and the allowable angle of twist of C with respect to D is 0.20°. %3D 10 in. B 8 in. 6 in.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.11.11P: The three beams shown have approximately the same cross-sectional area. Beam 1 is a W 14 X 82 with...
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Answer only question number 6
4. Draw the shear and moment diagrams for the beam and determine the shear and moment
throughout the beam as functions of x.
10 kip
8 kip
2 kip/ft
40 kip-ft
6 ft
4 ft
5. The solid steel shaft DF has a diameter of 25 mm and supported by smooth bearings at D
and E. It is coupled to a motor at F, which delivers 12kW of power to the shaft while it is
turning at 50rev/s. If gears A, B, and C remove 3 kW, 4kW, and 5 kW respectively,
determine the maximum shear stress developed in the shaft within regions CF and BC .
The shaft is free to turn in its support bearings D and E.
12 kW
5 kW
25 mm
3 kW 4 kW
"A
B
D
E F
6. The motor delivers 40 hp to the 304 stainless steel shaft while it rotates at 20 Hz. The
shaft is supported on smooth bearings at A and B, which allow free rotation of the shaft.
The gears C and D fixed to the shaft remove 25 hp and 15 hp, respectively. Determine the
diameter of the shaft to the nearest 1/8 in. if the allowable stress is Tallow = 8ksi and the
allowable angle of twist of C with respect to D is 0.20°.
10 in.
B
8 in.
Transcribed Image Text:4. Draw the shear and moment diagrams for the beam and determine the shear and moment throughout the beam as functions of x. 10 kip 8 kip 2 kip/ft 40 kip-ft 6 ft 4 ft 5. The solid steel shaft DF has a diameter of 25 mm and supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 12kW of power to the shaft while it is turning at 50rev/s. If gears A, B, and C remove 3 kW, 4kW, and 5 kW respectively, determine the maximum shear stress developed in the shaft within regions CF and BC . The shaft is free to turn in its support bearings D and E. 12 kW 5 kW 25 mm 3 kW 4 kW "A B D E F 6. The motor delivers 40 hp to the 304 stainless steel shaft while it rotates at 20 Hz. The shaft is supported on smooth bearings at A and B, which allow free rotation of the shaft. The gears C and D fixed to the shaft remove 25 hp and 15 hp, respectively. Determine the diameter of the shaft to the nearest 1/8 in. if the allowable stress is Tallow = 8ksi and the allowable angle of twist of C with respect to D is 0.20°. 10 in. B 8 in.
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