Perimeter of Cut when Shear is Applied Calculator

✖Maximum Shear Force is the max. force due to shearing between two planes.ⓘ Maximum Shear Force [F_s]			+10% -10%
✖Shear on the punch is applied during punching process on punch or die, to reduce the required shearing force.ⓘ Shear on the Punch [t_shear]			+10% -10%
✖Punch Penetration as Fraction is the relative amount of punch which penetrates the work.ⓘ Punch Penetration as Fraction [p]			+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%

✖Cut Perimeter is the perimeter of the punched product.ⓘ Perimeter of Cut when Shear is Applied [L_ct]

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Formula

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Perimeter of Cut when Shear is Applied

Formula

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

Example

`"615.669mm"=("0.015571N"*"1.599984mm")/("0.499985"*("8.9963mm")^2)`

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Perimeter of Cut when Shear is Applied Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Cut Perimeter - (Measured in Meter) - Cut Perimeter is the perimeter of the punched product.
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.
Punch Penetration as Fraction - Punch Penetration as Fraction is the relative amount of punch which penetrates the work.
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 the Punch: 1.599984 Millimeter --> 0.001599984 Meter (Check conversion here)
Punch Penetration as Fraction: 0.499985 --> No Conversion Required
Thickness of Stock: 8.9963 Millimeter --> 0.0089963 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_ct = (F_s*t_shear)/(p*t_stk^2) --> (0.015571*0.001599984)/(0.499985*0.0089963^2)

Evaluating ... ...

L_ct = 0.615669033370501

STEP 3: Convert Result to Output's Unit

0.615669033370501 Meter -->615.669033370501 Millimeter (Check conversion here)

FINAL ANSWER

615.669033370501 ≈ 615.669 Millimeter <-- Cut Perimeter

(Calculation completed in 00.004 seconds)

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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*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

Perimeter of Cut when Shear is Applied Formula

Cut Perimeter = (Maximum Shear Force*Shear on the Punch)/(Punch Penetration as Fraction*Thickness of Stock^2)
L_ct = (F_s*t_shear)/(p*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 Perimeter of Cut when Shear is Applied?

Perimeter of Cut when Shear is Applied calculator uses Cut Perimeter = (Maximum Shear Force*Shear on the Punch)/(Punch Penetration as Fraction*Thickness of Stock^2) to calculate the Cut Perimeter, The Perimeter of cut when shear is applied formula is defined as the perimeter of the shape to be punched out of sheet metal. Cut Perimeter is denoted by L_ct symbol.

How to calculate Perimeter of Cut when Shear is Applied using this online calculator? To use this online calculator for Perimeter of Cut when Shear is Applied, enter Maximum Shear Force (F_s), Shear on the Punch (t_shear), Punch Penetration as Fraction (p) & Thickness of Stock (t_stk) and hit the calculate button. Here is how the Perimeter of Cut when Shear is Applied calculation can be explained with given input values -> 616532.2 = (0.015571*0.001599984)/(0.499985*0.0089963^2).

FAQ

What is Perimeter of Cut when Shear is Applied?

The Perimeter of cut when shear is applied formula is defined as the perimeter of the shape to be punched out of sheet metal and is represented as L_ct = (F_s*t_shear)/(p*t_stk^2) or Cut Perimeter = (Maximum Shear Force*Shear on the Punch)/(Punch Penetration as Fraction*Thickness of Stock^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, Punch Penetration as Fraction is the relative amount of punch which penetrates the work & 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 Perimeter of Cut when Shear is Applied?

The Perimeter of cut when shear is applied formula is defined as the perimeter of the shape to be punched out of sheet metal is calculated using Cut Perimeter = (Maximum Shear Force*Shear on the Punch)/(Punch Penetration as Fraction*Thickness of Stock^2). To calculate Perimeter of Cut when Shear is Applied, you need Maximum Shear Force (F_s), Shear on the Punch (t_shear), Punch Penetration as Fraction (p) & Thickness of Stock (t_stk). With our tool, you need to enter the respective value for Maximum Shear Force, Shear on the Punch, Punch Penetration as Fraction & 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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