Penetration of Punch as Fraction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Punch Penetration as Fraction = (Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*Stock Thickness^2)
p = (Fs*tshear)/(Lcut*t^2)
This formula uses 5 Variables
Variables Used
Punch Penetration as Fraction - Punch Penetration as Fraction is the relative amount of punch which penetrates the work.
Maximum Shear Force - (Measured in Newton) - Maximum Shear Force is the max. force due to shearing between two planes.
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.
Perimeter of Cut - (Measured in Meter) - Perimeter of Cut is the perimeter of the punched product.
Stock Thickness - (Measured in Meter) - Stock Thickness generally refers to the initial thickness of raw material or stock material before any machining or processing takes place.
STEP 1: Convert Input(s) to Base Unit
Maximum Shear Force: 0.015571 Newton --> 0.015571 Newton No Conversion Required
Shear on the Punch: 1.599984 Millimeter --> 0.001599984 Meter (Check conversion here)
Perimeter of Cut: 616.6667 Millimeter --> 0.6166667 Meter (Check conversion here)
Stock Thickness: 8.99 Millimeter --> 0.00899 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = (Fs*tshear)/(Lcut*t^2) --> (0.015571*0.001599984)/(0.6166667*0.00899^2)
Evaluating ... ...
p = 0.499875974470743
STEP 3: Convert Result to Output's Unit
0.499875974470743 --> No Conversion Required
FINAL ANSWER
0.499875974470743 0.499876 <-- Punch Penetration as Fraction
(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 = Perimeter of Cut*Stock Thickness*(Stock Thickness*Punch Penetration as Fraction)/Shear on the Punch
Shear on Punch or Die
Go Shear on the Punch = Perimeter of Cut*Stock Thickness*(Stock Thickness*Punch Penetration as Fraction)/Maximum Shear Force
Stock Thickness when Shear used on Punch
Go Stock Thickness = sqrt((Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*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 Perimeter of Cut = (Maximum Shear Force*Shear on the Punch)/(Punch Penetration as Fraction*Stock Thickness^2)
Penetration of Punch as Fraction
Go Punch Penetration as Fraction = (Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*Stock Thickness^2)
Punch Load
Go Punch Load = Perimeter of Cut*Bar Thickness*Strength Coefficient

Penetration of Punch as Fraction Formula

Punch Penetration as Fraction = (Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*Stock Thickness^2)
p = (Fs*tshear)/(Lcut*t^2)

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 Penetration of Punch as Fraction?

Penetration of Punch as Fraction calculator uses Punch Penetration as Fraction = (Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*Stock Thickness^2) to calculate the Punch Penetration as Fraction, The Penetration of punch as fraction formula is defined as the penetration of the punch relative to the stock thickness. Punch Penetration as Fraction is denoted by p symbol.

How to calculate Penetration of Punch as Fraction using this online calculator? To use this online calculator for Penetration of Punch as Fraction, enter Maximum Shear Force (Fs), Shear on the Punch (tshear), Perimeter of Cut (Lcut) & Stock Thickness (t) and hit the calculate button. Here is how the Penetration of Punch as Fraction calculation can be explained with given input values -> 0.498766 = (0.015571*0.001599984)/(0.6166667*0.00899^2).

FAQ

What is Penetration of Punch as Fraction?
The Penetration of punch as fraction formula is defined as the penetration of the punch relative to the stock thickness and is represented as p = (Fs*tshear)/(Lcut*t^2) or Punch Penetration as Fraction = (Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*Stock Thickness^2). Maximum Shear Force is the max. force due to shearing between two planes, Shear on the punch is applied during punching process on punch or die, to reduce the required shearing force, Perimeter of Cut is the perimeter of the punched product & Stock Thickness generally refers to the initial thickness of raw material or stock material before any machining or processing takes place.
How to calculate Penetration of Punch as Fraction?
The Penetration of punch as fraction formula is defined as the penetration of the punch relative to the stock thickness is calculated using Punch Penetration as Fraction = (Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*Stock Thickness^2). To calculate Penetration of Punch as Fraction, you need Maximum Shear Force (Fs), Shear on the Punch (tshear), Perimeter of Cut (Lcut) & Stock Thickness (t). With our tool, you need to enter the respective value for Maximum Shear Force, Shear on the Punch, Perimeter of Cut & Stock Thickness 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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