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Engineering and Tech / Engineering Mechanics: Statics 14 / Chapter 8 / Problem 8-75

Engineering Mechanics: Statics | 14th Edition | ISBN: 9780133918922 | Authors: Russell C. Hibbeler

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Solved: The shaft has a square-threaded screw with a lead

Chapter 8, Problem 8-75

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QUESTION:

The shaft has a square-threaded screw with a lead of 8 mm and a mean radius of 15 mm. If it is in contact with a plate gear having a mean radius of 30 mm, determine the resisting torque M on the plate gear which can be overcome if a torque of 7 N \(\cdot\) m is applied to the shaft. The coefficient of static friction at the screw is \(\mu_{\mathrm{B}}\) = 0.2. Neglect friction of the bearings located at A and B.

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QUESTION:

The shaft has a square-threaded screw with a lead of 8 mm and a mean radius of 15 mm. If it is in contact with a plate gear having a mean radius of 30 mm, determine the resisting torque M on the plate gear which can be overcome if a torque of 7 N \(\cdot\) m is applied to the shaft. The coefficient of static friction at the screw is \(\mu_{\mathrm{B}}\) = 0.2. Neglect friction of the bearings located at A and B.

ANSWER:

Step 1 of 6

Since we want to tighter the screw, the moment equilibrium equation is

From here we can express as:

…(1)

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