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Consider the following statements pertaining to the basic Lewis equation for the strength design of spur gear teeth
1. single pair of teeth participates in power transmission at any instant
2. the tooth is considered as a cantilever beam of uniform strength
3. loading on the teeth is static in nature
4. lewis equation takes into account the inaccuracies of the tooth profile
5. meshing teeth come in contact suddenly
Which of the statements given above are correct?
  • a)
    1, 3, 4 and 5
  • b)
    1, 2, 3 and 4
  • c)
    1, 2 and 3
  • d)
    2, 4 and 5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider the following statements pertaining to the basic Lewis equat...
Lewis Equation for Spur Gear Teeth

The Lewis equation is a basic equation used for the strength design of spur gear teeth. It is important to understand the basic principles of the equation to design gears that can transmit power efficiently and effectively. The following statements pertain to the basic Lewis equation for spur gear teeth:

1. Single pair of teeth participates in power transmission at any instant
2. The tooth is considered as a cantilever beam of uniform strength
3. Loading on the teeth is static in nature

Correct Statements

Out of the five statements given above, the correct statements are:

1. Single pair of teeth participates in power transmission at any instant
2. The tooth is considered as a cantilever beam of uniform strength
3. Loading on the teeth is static in nature

Explanation

The Lewis equation is based on the assumption that only one pair of teeth is in contact and transmitting power at any instant, which is why statement 1 is correct. The tooth is also considered to be a cantilever beam of uniform strength, as it is subjected to bending stresses due to the load applied at the tip of the tooth. Hence, statement 2 is also correct.

The loading on the teeth is static in nature, as the gears are designed to transmit power at a constant speed and torque. This means that the forces acting on the teeth are constant, and statement 3 is also correct.

Statements 4 and 5 are incorrect, as the Lewis equation does not take into account the inaccuracies of the tooth profile and the meshing teeth do not come into contact suddenly.

Conclusion

In conclusion, the Lewis equation is an important equation used for the strength design of spur gear teeth. It is based on the principles of a single pair of teeth participating in power transmission, the tooth being considered as a cantilever beam of uniform strength, and the loading on the teeth being static in nature.
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Consider the following statements pertaining to the basic Lewis equation for the strength design of spur gear teeth1. single pair of teeth participates in power transmission at any instant2. the tooth is considered as a cantilever beam of uniform strength3. loading on the teeth is static in nature4. lewis equation takes into account the inaccuracies of the tooth profile5. meshing teeth come in contact suddenlyWhich of the statements given above are correct?a) 1, 3, 4 and 5b) 1, 2, 3 and 4c) 1, 2 and 3d) 2, 4 and 5Correct answer is option 'C'. Can you explain this answer?
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Consider the following statements pertaining to the basic Lewis equation for the strength design of spur gear teeth1. single pair of teeth participates in power transmission at any instant2. the tooth is considered as a cantilever beam of uniform strength3. loading on the teeth is static in nature4. lewis equation takes into account the inaccuracies of the tooth profile5. meshing teeth come in contact suddenlyWhich of the statements given above are correct?a) 1, 3, 4 and 5b) 1, 2, 3 and 4c) 1, 2 and 3d) 2, 4 and 5Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following statements pertaining to the basic Lewis equation for the strength design of spur gear teeth1. single pair of teeth participates in power transmission at any instant2. the tooth is considered as a cantilever beam of uniform strength3. loading on the teeth is static in nature4. lewis equation takes into account the inaccuracies of the tooth profile5. meshing teeth come in contact suddenlyWhich of the statements given above are correct?a) 1, 3, 4 and 5b) 1, 2, 3 and 4c) 1, 2 and 3d) 2, 4 and 5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements pertaining to the basic Lewis equation for the strength design of spur gear teeth1. single pair of teeth participates in power transmission at any instant2. the tooth is considered as a cantilever beam of uniform strength3. loading on the teeth is static in nature4. lewis equation takes into account the inaccuracies of the tooth profile5. meshing teeth come in contact suddenlyWhich of the statements given above are correct?a) 1, 3, 4 and 5b) 1, 2, 3 and 4c) 1, 2 and 3d) 2, 4 and 5Correct answer is option 'C'. Can you explain this answer?.
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