Concept explainers
A section of a spur gear is shown in Figure 12−3. Given the circular pitches for various gear sizes, determine the working depths, clearances, and tooth thicknesses. Round the answers to 4 decimal places.
(a)
The working depth, clearances and tooth thickness of the spur gear.
Answer to Problem 10A
Explanation of Solution
Given:
Circular pitch
Calculation:
The working depth is calculated by the formula
Clearance is calculated by the formula
And, tooth thickness is calculated by the formula
Conclusion:
The working depth, clearance and tooth thickness of gear is
(b)
The working depth, clearances and tooth thickness of the spur gear.
Answer to Problem 10A
Explanation of Solution
Given:
Circular pitch
Calculation:
The working depth is calculated by the formula
Clearance is calculated by the formula
And, tooth thickness is calculated by the formula
Conclusion:
The working depth, clearance and tooth thickness of gear is
(c)
The working depth, clearances and tooth thickness of the spur gear.
Answer to Problem 10A
Explanation of Solution
Given:
Circular pitch
Calculation:
The working depth is calculated by the formula
Clearance is calculated by the formula
And, tooth thickness is calculated by the formula
Conclusion:
The working depth, clearance and tooth thickness of gear is
(d)
The working depth, clearances and tooth thickness of the spur gear.
Answer to Problem 10A
Explanation of Solution
Given:
Circular pitch
Calculation:
The working depth is calculated by the formula
Clearance is calculated by the formula
And, tooth thickness is calculated by the formula
Conclusion:
The working depth, clearance and tooth thickness of gear is
(e)
The working depth, clearances and tooth thickness of the spur gear.
Answer to Problem 10A
Explanation of Solution
Given:
Circular pitch
Calculation:
The working depth is calculated by the formula
Clearance is calculated by the formula
And, tooth thickness is calculated by the formula
Conclusion:
The working depth, clearance and tooth thickness of gear is
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Chapter 12 Solutions
Mathematics For Machine Technology
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