Problem 14 The backstop shown schematically in the figure is used to prevent backward rotation of the shaft. A sector is pivoted at 0,and one end of the band is attached to it and operates at a radius r2 =57 mm. The other end of the bend is attached at point a so that Oa =r125 mm. The diameter of the wheel is 210 mm, the angle of Wrap is 270°,and the width of the band is 54 mm. The torque on the wheel is 400 N.m. Assuming a coefficient of friction between the band and wheel equal to 0.2, determine the following: (a) the maximum band tension; (6) the maximum pressure between the band and wheel; and (c) whether the backstop is self-locking. Locking

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
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Problem 14
The backstop shown schematically in the figure is
used to prevent backward rotation of the shaft. A
sector is pivoted at 0,and one end of the band is
attached to it and operates at a radius r2 =57 mm.
The other end of the bend is attached at point a so
that Oa =r1= 25 mm. The diameter of the wheel is
210 mm, the angle of Wrap is 270°, and the width of
the band is 54 mm. The torque on the wheel is 400
N.m. Assuming a coefficient of friction between the
band and wheel equal to 0.2, determine the
following:
(a) the maximum band tension; (6) the maximum
pressure between the band and wheel; and (c)
whether the backstop is self-locking.
Locking
O
Transcribed Image Text:Problem 14 The backstop shown schematically in the figure is used to prevent backward rotation of the shaft. A sector is pivoted at 0,and one end of the band is attached to it and operates at a radius r2 =57 mm. The other end of the bend is attached at point a so that Oa =r1= 25 mm. The diameter of the wheel is 210 mm, the angle of Wrap is 270°, and the width of the band is 54 mm. The torque on the wheel is 400 N.m. Assuming a coefficient of friction between the band and wheel equal to 0.2, determine the following: (a) the maximum band tension; (6) the maximum pressure between the band and wheel; and (c) whether the backstop is self-locking. Locking O
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