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Answer:
The punch size is 74.70 mm
The die size is 75 mm
Explanation:
From the table of allowance, the allowance for cold rolled steel ([tex]A_c[/tex]) is given as 0.075.
Given that: thickness = 2.00 mm, blank diameter ([tex]D_b[/tex])= 75.0 mm
The clearance (c) is the product of allowance and the thickness of the cold rolled steel. It is given by:
[tex]c=thickness*A_c=2\ mm(0.075)=0.15\ mm[/tex]
The die diameter is equal to the blank diameter and the punch diameter is smaller than the blank diameter by twice the clearance
Punch diameter = [tex]D_b-2c=75\ mm-2(0.15)=75\ mm-0.3\ mm = 74.70\ mm[/tex]
Die diameter = [tex]D_b=75\ mm[/tex]
the appropriate punch diameter is 74.70 mm and die size is 75 mm
The appropriate punch and die sizes for the given operation are;
Punch diameter = 74.7 mm
Die diameter size = 75 mm
We are given;
The allowance for the cold rolled steel is not given but we will adopt a general value of;
a = 0.075.
Thus;
Clearance is;
c = 2a
c = 2 × 0.075
c = 0.15
We are given;
Diameter of part; d_b = 75 mm
Formula for punch diameter is;
d_h = d_b - c
d_h = 75 - 0.15
d_h = 74.85 mm
Meanwhile, the die diameter is 75 mm.
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