Penetration of Punch as Fraction Calculator

✖Maximum Shear Force is the highest magnitude of force acting perpendicular to the cross-section of a material, causing shear stress and potentially leading to deformation or failure.ⓘ Maximum Shear Force [F_s]			+10% -10%
✖Shear on Punch is the force or stress acting parallel to the cross-sectional area of the punch, typically encountered during a punching operation.ⓘ Shear on Punch [t_sh]			+10% -10%
✖Cut Perimeter is the process of cutting the outer edges of a sheet of metal to shape it according to a specific design or pattern.ⓘ Cut Perimeter [L_ct]			+10% -10%
✖Thickness of Stock generally refers to the initial thickness of raw material or stock material before any machining or processing takes place.ⓘ Thickness of Stock [t_stk]			+10% -10%

✖Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation.ⓘ Penetration of Punch as Fraction [p]

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Formula

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Penetration of Punch as Fraction

Formula

`"p" = ("F"_{"s"}*"t"_{"sh"})/("L"_{"ct"}*"t"_{"stk"}^2)`

Example

`"0.499987"=("0.015571N"*"1.599984mm")/("615.6667mm"*("8.9963mm")^2)`

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Penetration of Punch as Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Punch Penetration = (Maximum Shear Force*Shear on Punch)/(Cut Perimeter*Thickness of Stock^2)
p = (F_s*t_sh)/(L_ct*t_stk^2)
This formula uses 5 Variables

Variables Used

Punch Penetration - Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation.
Maximum Shear Force - (Measured in Newton) - Maximum Shear Force is the highest magnitude of force acting perpendicular to the cross-section of a material, causing shear stress and potentially leading to deformation or failure.
Shear on Punch - (Measured in Meter) - Shear on Punch is the force or stress acting parallel to the cross-sectional area of the punch, typically encountered during a punching operation.
Cut Perimeter - (Measured in Meter) - Cut Perimeter is the process of cutting the outer edges of a sheet of metal to shape it according to a specific design or pattern.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Force: 0.015571 Newton --> 0.015571 Newton No Conversion Required
Shear on Punch: 1.599984 Millimeter --> 0.001599984 Meter (Check conversion here)
Cut Perimeter: 615.6667 Millimeter --> 0.6156667 Meter (Check conversion here)
Thickness of Stock: 8.9963 Millimeter --> 0.0089963 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = (F_s*t_sh)/(L_ct*t_stk^2) --> (0.015571*0.001599984)/(0.6156667*0.0089963^2)

Evaluating ... ...

p = 0.499986894938041

STEP 3: Convert Result to Output's Unit

0.499986894938041 --> No Conversion Required

FINAL ANSWER

0.499986894938041 ≈ 0.499987 <-- Punch Penetration

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Sheet Metal Operations » Punch Operation » Penetration of Punch as Fraction

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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*Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/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)/Shear on Punch

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)

Shear on Punch or Die

Go Shear on Punch = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration)/Maximum Shear Force

Stock Thickness when Shear used on Punch

Go Thickness of Stock = sqrt((Maximum Shear Force*Shear on Punch)/(Cut Perimeter*Punch Penetration))

Perimeter of Cut when Shear is Applied

Go Cut Perimeter = (Maximum Shear Force*Shear on Punch)/(Punch Penetration*Thickness of Stock^2)

Penetration of Punch as Fraction

Go Punch Penetration = (Maximum Shear Force*Shear on Punch)/(Cut Perimeter*Thickness of Stock^2)

Punch Load

Go Punch Load = Cut Perimeter*Bar Thickness*Strength Coefficient

Penetration of Punch as Fraction Formula

Punch Penetration = (Maximum Shear Force*Shear on Punch)/(Cut Perimeter*Thickness of Stock^2)
p = (F_s*t_sh)/(L_ct*t_stk^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 = (Maximum Shear Force*Shear on Punch)/(Cut Perimeter*Thickness of Stock^2) to calculate the Punch Penetration, The Penetration of punch as fraction formula is defined as the penetration of the punch relative to the stock thickness. Punch Penetration 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 (F_s), Shear on Punch (t_sh), Cut Perimeter (L_ct) & Thickness of Stock (t_stk) and hit the calculate button. Here is how the Penetration of Punch as Fraction calculation can be explained with given input values -> 0.499987 = (0.015571*0.001599984)/(0.6156667*0.0089963^2).

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 = (F_s*t_sh)/(L_ct*t_stk^2) or Punch Penetration = (Maximum Shear Force*Shear on Punch)/(Cut Perimeter*Thickness of Stock^2). Maximum Shear Force is the highest magnitude of force acting perpendicular to the cross-section of a material, causing shear stress and potentially leading to deformation or failure, Shear on Punch is the force or stress acting parallel to the cross-sectional area of the punch, typically encountered during a punching operation, Cut Perimeter is the process of cutting the outer edges of a sheet of metal to shape it according to a specific design or pattern & Thickness of Stock 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 = (Maximum Shear Force*Shear on Punch)/(Cut Perimeter*Thickness of Stock^2). To calculate Penetration of Punch as Fraction, you need Maximum Shear Force (F_s), Shear on Punch (t_sh), Cut Perimeter (L_ct) & Thickness of Stock (t_stk). With our tool, you need to enter the respective value for Maximum Shear Force, Shear on Punch, Cut Perimeter & Thickness of Stock 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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