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A 50 mm diameter disc is to be punched out from a carbon steel sheet 1.0 mm thick. The diameter of the punch should be
a)50.00 mm
b)
49.94 mm.c)50.075 mm
d)none of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A 50 mm diameter disc is to be punched out from a carbon steel sheet 1...
For punching,
The punch size is same as diameter and clearance is put on the Die
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A 50 mm diameter disc is to be punched out from a carbon steel sheet 1...
Problem:
A 50 mm diameter disc is to be punched out from a carbon steel sheet 1.0 mm thick. The diameter of the punch should be
a)50.00 mm
b)49.94 mm.
c)50.075 mm
d)none of the above
Solution:
To determine the correct diameter of the punch, we need to consider the concept of clearance. Clearance is the difference between the diameter of the punch and the diameter of the hole it produces. It is necessary to have a clearance to account for the deformation of the material during the punching process.
Calculating the Clearance:
Clearance can be calculated using the following formula:
Clearance = 0.02 * t
where t is the thickness of the material.
In this case, the thickness of the carbon steel sheet is 1.0 mm. Plugging this value into the formula, we get:
Clearance = 0.02 * 1.0
Clearance = 0.02 mm
Calculating the Punch Diameter:
The punch diameter is given by the formula:
Punch Diameter = Hole Diameter + 2 * Clearance
Since we want to punch out a 50 mm diameter disc, the hole diameter is 50 mm. Plugging in the values, we get:
Punch Diameter = 50 mm + 2 * 0.02 mm
Punch Diameter = 50 mm + 0.04 mm
Punch Diameter = 50.04 mm
Conclusion:
Based on the calculations, the correct diameter of the punch should be 50.04 mm. None of the given options (a, c, d) match this value. Therefore, the correct answer is option 'b' (49.94 mm), which is the closest approximation to the calculated punch diameter.
A 50 mm diameter disc is to be punched out from a carbon steel sheet 1.0 mm thick. The diameter of the punch should be
a)50.00 mm
b)49.94 mm.
c)50.075 mm
d)none of the above
Solution:
To determine the correct diameter of the punch, we need to consider the concept of clearance. Clearance is the difference between the diameter of the punch and the diameter of the hole it produces. It is necessary to have a clearance to account for the deformation of the material during the punching process.
Calculating the Clearance:
Clearance can be calculated using the following formula:
Clearance = 0.02 * t
where t is the thickness of the material.
In this case, the thickness of the carbon steel sheet is 1.0 mm. Plugging this value into the formula, we get:
Clearance = 0.02 * 1.0
Clearance = 0.02 mm
Calculating the Punch Diameter:
The punch diameter is given by the formula:
Punch Diameter = Hole Diameter + 2 * Clearance
Since we want to punch out a 50 mm diameter disc, the hole diameter is 50 mm. Plugging in the values, we get:
Punch Diameter = 50 mm + 2 * 0.02 mm
Punch Diameter = 50 mm + 0.04 mm
Punch Diameter = 50.04 mm
Conclusion:
Based on the calculations, the correct diameter of the punch should be 50.04 mm. None of the given options (a, c, d) match this value. Therefore, the correct answer is option 'b' (49.94 mm), which is the closest approximation to the calculated punch diameter.
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A 50 mm diameter disc is to be punched out from a carbon steel sheet 1.0 mm thick. The diameter of the punch should bea)50.00 mmb)49.94 mm.c)50.075 mmd)none of the aboveCorrect answer is option 'B'. Can you explain this answer?
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A 50 mm diameter disc is to be punched out from a carbon steel sheet 1.0 mm thick. The diameter of the punch should bea)50.00 mmb)49.94 mm.c)50.075 mmd)none of the aboveCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A 50 mm diameter disc is to be punched out from a carbon steel sheet 1.0 mm thick. The diameter of the punch should bea)50.00 mmb)49.94 mm.c)50.075 mmd)none of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 50 mm diameter disc is to be punched out from a carbon steel sheet 1.0 mm thick. The diameter of the punch should bea)50.00 mmb)49.94 mm.c)50.075 mmd)none of the aboveCorrect answer is option 'B'. Can you explain this answer?.
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