Maximum Shear Force given Shear Applied to Punch or Die Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Shear Force = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration as Fraction)/Shear on the Punch
Fs = Lct*tstk*(tstk*p)/tshear
This formula uses 5 Variables
Variables Used
Maximum Shear Force - (Measured in Newton) - Maximum Shear Force is the max. force due to shearing between two planes.
Cut Perimeter - (Measured in Meter) - Cut Perimeter is the perimeter of the punched product.
Thickness of Stock - (Measured in Meter) - Thickness of Stock generally refers to the initial thickness of raw material or stock material before any machining or processing takes place.
Punch Penetration as Fraction - Punch Penetration as Fraction is the relative amount of punch which penetrates the work.
Shear on the Punch - (Measured in Meter) - Shear on the punch is applied during punching process on punch or die, to reduce the required shearing force.
STEP 1: Convert Input(s) to Base Unit
Cut Perimeter: 615.6667 Millimeter --> 0.6156667 Meter (Check conversion here)
Thickness of Stock: 8.9963 Millimeter --> 0.0089963 Meter (Check conversion here)
Punch Penetration as Fraction: 0.499985 --> No Conversion Required
Shear on the Punch: 1.599984 Millimeter --> 0.001599984 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fs = Lct*tstk*(tstk*p)/tshear --> 0.6156667*0.0089963*(0.0089963*0.499985)/0.001599984
Evaluating ... ...
Fs = 0.0155709409862928
STEP 3: Convert Result to Output's Unit
0.0155709409862928 Newton --> No Conversion Required
FINAL ANSWER
0.0155709409862928 0.015571 Newton <-- Maximum Shear Force
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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8 Punch Operation Calculators

Punching Force for Holes Smaller than Sheet Thickness
Go Punching Force or Load = (Punch or Ram Diameter*Blank or Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Blank or Sheet Thickness)^(1/3)
Maximum Shear Force given Shear Applied to Punch or Die
Go Maximum Shear Force = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration as Fraction)/Shear on the Punch
Shear on Punch or Die
Go Shear on the Punch = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration as Fraction)/Maximum Shear Force
Stock Thickness when Shear used on Punch
Go Thickness of Stock = sqrt((Maximum Shear Force*Shear on the Punch)/(Cut Perimeter*Punch Penetration as Fraction))
Blank Size when there is Corner Radius on Punch
Go Blank Diameter = sqrt(Outer Shell Diameter^2+4*Outer Shell Diameter*Shell Height-0.5*Corner Radius on Punch)
Perimeter of Cut when Shear is Applied
Go Cut Perimeter = (Maximum Shear Force*Shear on the Punch)/(Punch Penetration as Fraction*Thickness of Stock^2)
Penetration of Punch as Fraction
Go Punch Penetration as Fraction = (Maximum Shear Force*Shear on the Punch)/(Cut Perimeter*Thickness of Stock^2)
Punch Load
Go Punch Load = Cut Perimeter*Bar Thickness*Strength Coefficient

Maximum Shear Force given Shear Applied to Punch or Die Formula

Maximum Shear Force = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration as Fraction)/Shear on the Punch
Fs = Lct*tstk*(tstk*p)/tshear

Why Shear is provided on punch?

To reduce the required shearing force on the punch, for example to accommodate a large component on a smaller capacity punch press, shear is ground on the face of the die or punch. The effect of providing shear is to distribute the cutting action over a period of time depending on the amount of shear provided. Thus the shear is relieved of the punch or die face so that it contacts the stock over a period of time rather than instantaneously. It may be noted that providing the shear only reduces the maximum force to be applied but not the total work done in shearing the component.

How to Calculate Maximum Shear Force given Shear Applied to Punch or Die?

Maximum Shear Force given Shear Applied to Punch or Die calculator uses Maximum Shear Force = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration as Fraction)/Shear on the Punch to calculate the Maximum Shear Force, The Maximum Shear Force given Shear applied to Punch or Die is that force which is required to cut the given part out of blank when shear is applied on punch. Maximum Shear Force is denoted by Fs symbol.

How to calculate Maximum Shear Force given Shear Applied to Punch or Die using this online calculator? To use this online calculator for Maximum Shear Force given Shear Applied to Punch or Die, enter Cut Perimeter (Lct), Thickness of Stock (tstk), Punch Penetration as Fraction (p) & Shear on the Punch (tshear) and hit the calculate button. Here is how the Maximum Shear Force given Shear Applied to Punch or Die calculation can be explained with given input values -> 0.015549 = 0.6156667*0.0089963*(0.0089963*0.499985)/0.001599984.

FAQ

What is Maximum Shear Force given Shear Applied to Punch or Die?
The Maximum Shear Force given Shear applied to Punch or Die is that force which is required to cut the given part out of blank when shear is applied on punch and is represented as Fs = Lct*tstk*(tstk*p)/tshear or Maximum Shear Force = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration as Fraction)/Shear on the Punch. Cut Perimeter is the perimeter of the punched product, Thickness of Stock generally refers to the initial thickness of raw material or stock material before any machining or processing takes place, Punch Penetration as Fraction is the relative amount of punch which penetrates the work & Shear on the punch is applied during punching process on punch or die, to reduce the required shearing force.
How to calculate Maximum Shear Force given Shear Applied to Punch or Die?
The Maximum Shear Force given Shear applied to Punch or Die is that force which is required to cut the given part out of blank when shear is applied on punch is calculated using Maximum Shear Force = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration as Fraction)/Shear on the Punch. To calculate Maximum Shear Force given Shear Applied to Punch or Die, you need Cut Perimeter (Lct), Thickness of Stock (tstk), Punch Penetration as Fraction (p) & Shear on the Punch (tshear). With our tool, you need to enter the respective value for Cut Perimeter, Thickness of Stock, Punch Penetration as Fraction & Shear on the Punch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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