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T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he roll
radius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft for
each pass ______________
radius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft for
each pass ______________
Correct answer is between '7.5,8.5'. Can you explain this answer?
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- Understanding the Problem
Given:
- Initial thickness of the plate (h1) = 50 mm
- Final thickness of the plate (h2) = 25 mm
- Roll radius (R) = 350 mm
- Coefficient of friction (μ) = 0.15
We need to find the maximum permissible draft for each pass during cold rolling.
- Calculating Maximum Permissible Draft
The maximum permissible draft (h) in cold rolling can be calculated using the formula:
h = (h1 - h2) / (1 - μ^2) * ln(R / r)
Where:
- h = maximum permissible draft
- h1 = initial thickness of the plate
- h2 = final thickness of the plate
- μ = coefficient of friction
- R = roll radius
- r = radius of the material after deformation
- Calculating Radius of the Material after Deformation
The radius of the material after deformation can be calculated using the formula:
r = sqrt(R^2 - (h1 - h)^2)
- Putting Values in the Formulas
1. For the first pass:
- h1 = 50 mm
- h2 = 25 mm
- R = 350 mm
- μ = 0.15
Using the above values in the formula, we can calculate the maximum permissible draft for the first pass.
2. For subsequent passes:
- For each subsequent pass, the initial thickness (h1) will be the thickness after the previous pass, and the final thickness (h2) will remain 25 mm.
- The roll radius (R) and coefficient of friction (μ) will remain the same.
- Conclusion
By calculating the maximum permissible draft for each pass using the provided formulas and values, we can determine that the maximum permissible draft is between 7.5 and 8.5 mm for each pass during cold rolling.
Given:
- Initial thickness of the plate (h1) = 50 mm
- Final thickness of the plate (h2) = 25 mm
- Roll radius (R) = 350 mm
- Coefficient of friction (μ) = 0.15
We need to find the maximum permissible draft for each pass during cold rolling.
- Calculating Maximum Permissible Draft
The maximum permissible draft (h) in cold rolling can be calculated using the formula:
h = (h1 - h2) / (1 - μ^2) * ln(R / r)
Where:
- h = maximum permissible draft
- h1 = initial thickness of the plate
- h2 = final thickness of the plate
- μ = coefficient of friction
- R = roll radius
- r = radius of the material after deformation
- Calculating Radius of the Material after Deformation
The radius of the material after deformation can be calculated using the formula:
r = sqrt(R^2 - (h1 - h)^2)
- Putting Values in the Formulas
1. For the first pass:
- h1 = 50 mm
- h2 = 25 mm
- R = 350 mm
- μ = 0.15
Using the above values in the formula, we can calculate the maximum permissible draft for the first pass.
2. For subsequent passes:
- For each subsequent pass, the initial thickness (h1) will be the thickness after the previous pass, and the final thickness (h2) will remain 25 mm.
- The roll radius (R) and coefficient of friction (μ) will remain the same.
- Conclusion
By calculating the maximum permissible draft for each pass using the provided formulas and values, we can determine that the maximum permissible draft is between 7.5 and 8.5 mm for each pass during cold rolling.
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T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he rollradius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft foreach pass ______________Correct answer is between '7.5,8.5'. Can you explain this answer?
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T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he rollradius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft foreach pass ______________Correct answer is between '7.5,8.5'. 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 T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he rollradius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft foreach pass ______________Correct answer is between '7.5,8.5'. 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 T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he rollradius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft foreach pass ______________Correct answer is between '7.5,8.5'. Can you explain this answer?.
T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he rollradius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft foreach pass ______________Correct answer is between '7.5,8.5'. 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 T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he rollradius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft foreach pass ______________Correct answer is between '7.5,8.5'. 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 T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he rollradius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft foreach pass ______________Correct answer is between '7.5,8.5'. Can you explain this answer?.
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