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A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.
Correct answer is '1.26'. Can you explain this answer?
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Verified Answer
A sheet metal with a stock hardness of 250 HRC has to be sheared using...
Tensile strength ∝ Hardness number
∴ Shear strength = 0.5 tensile strength (Tresca theory)
= 0.577 tensile strength (Von mises theory)
Shear strength ∝ Hardness number
and clearance, C = 0.0032t√τ
Or
∴ Shear strength = 0.5 tensile strength (Tresca theory)
= 0.577 tensile strength (Von mises theory)
Shear strength ∝ Hardness number
and clearance, C = 0.0032t√τ
Or
Most Upvoted Answer
A sheet metal with a stock hardness of 250 HRC has to be sheared using...
Calculation of Clearance
To determine the clearance required between the punch and the die, we need to consider the change in hardness of the sheet metal. The hardness of a material affects its ability to deform and flow during the shearing process.
Understanding Hardness
Hardness is a measure of a material's resistance to indentation or scratching. In the case of sheet metal, a higher hardness value indicates a greater resistance to deformation.
Initial Clearance
Given that the initial stock hardness is 250 HRC and the clearance is 1 mm, we can calculate the initial clearance required using empirical formulas or reference tables. For example, a commonly used formula is:
Clearance (in mm) = 0.02 * Thickness (in mm) + 0.07
Assuming the thickness of the sheet metal is constant, let's say 5 mm, the initial clearance would be:
Clearance = 0.02 * 5 + 0.07 = 0.17 mm
Effect of Increased Hardness
When the hardness of the sheet metal increases to 400 HRC, the material becomes more resistant to deformation. As a result, the initial clearance of 0.17 mm may not be sufficient to ensure successful shearing.
Adjusting Clearance
To determine the new clearance required, we can use a hardness correction factor. This factor takes into account the change in hardness and adjusts the original clearance accordingly.
Using the Hardness Correction Factor Formula
Clearance (new) = Clearance (initial) * (Hardness (new) / Hardness (initial)) ^ 0.57
Substituting the values, we can calculate the new clearance:
Clearance (new) = 0.17 * (400 / 250) ^ 0.57 ≈ 1.26 mm
Therefore, when the stock hardness increases from 250 HRC to 400 HRC, the clearance between the punch and the die should be approximately 1.26 mm. This adjustment ensures that the increased hardness does not hinder the shearing process and allows for successful cutting of the sheet metal.
To determine the clearance required between the punch and the die, we need to consider the change in hardness of the sheet metal. The hardness of a material affects its ability to deform and flow during the shearing process.
Understanding Hardness
Hardness is a measure of a material's resistance to indentation or scratching. In the case of sheet metal, a higher hardness value indicates a greater resistance to deformation.
Initial Clearance
Given that the initial stock hardness is 250 HRC and the clearance is 1 mm, we can calculate the initial clearance required using empirical formulas or reference tables. For example, a commonly used formula is:
Clearance (in mm) = 0.02 * Thickness (in mm) + 0.07
Assuming the thickness of the sheet metal is constant, let's say 5 mm, the initial clearance would be:
Clearance = 0.02 * 5 + 0.07 = 0.17 mm
Effect of Increased Hardness
When the hardness of the sheet metal increases to 400 HRC, the material becomes more resistant to deformation. As a result, the initial clearance of 0.17 mm may not be sufficient to ensure successful shearing.
Adjusting Clearance
To determine the new clearance required, we can use a hardness correction factor. This factor takes into account the change in hardness and adjusts the original clearance accordingly.
Using the Hardness Correction Factor Formula
Clearance (new) = Clearance (initial) * (Hardness (new) / Hardness (initial)) ^ 0.57
Substituting the values, we can calculate the new clearance:
Clearance (new) = 0.17 * (400 / 250) ^ 0.57 ≈ 1.26 mm
Therefore, when the stock hardness increases from 250 HRC to 400 HRC, the clearance between the punch and the die should be approximately 1.26 mm. This adjustment ensures that the increased hardness does not hinder the shearing process and allows for successful cutting of the sheet metal.
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A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer?
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A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer?.
A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer?.
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A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer?, a detailed solution for A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer? has been provided alongside types of A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be_________ mm.Correct answer is '1.26'. Can you explain this answer? theory, EduRev gives you an
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