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Engineering and Tech / Mechanical Engineering Design 10 / Chapter 14 / Problem 14-12

Mechanical Engineering Design | 10th Edition | ISBN: 9780073398204 | Authors: Richard Budynas

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Solved: A gear drive consists of a 16-tooth 20 steel spur

Chapter 14, Problem 14-12

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QUESTION:

A gear drive consists of a 16-tooth \(20^{\circ}\) steel spur pinion and a 48-tooth cast-iron gear having a pitch of 12 teeth/in. For a power input of 1.5 hp at a pinion speed of 700 rev/min, select a face width based on an allowable contact stress of 100 kpsi.

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QUESTION:

A gear drive consists of a 16-tooth \(20^{\circ}\) steel spur pinion and a 48-tooth cast-iron gear having a pitch of 12 teeth/in. For a power input of 1.5 hp at a pinion speed of 700 rev/min, select a face width based on an allowable contact stress of 100 kpsi.

ANSWER:

Problem 14-12

A gear drive consists of a 16-tooth steel spur pinion and a 48-tooth cast-iron gear having a pitch of. For a power input of at a pinion speed of, select a face width based on an allowable contact stress of.

Step by Step Solution

Step 1 of 3

The number of teeth in pinion is .

The number of teeth in gear is .

The pitch is .

The power input is .

The revolution per minute is .

The contact stress is .

The angle is .

The diameter of pinion can be calculated as:

For and .

Therefore,

The diameter of gear can be calculated as:

For and .

Therefore,

The velocity of pinion is calculated as:

For, , and .

Therefore,

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