Perimeter of Cut when Shear is Applied 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%
✖Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation.ⓘ Punch Penetration [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%

✖Cutting Perimeter is the process of cutting the outer edges of a sheet of metal to shape it according to a specific design or pattern.ⓘ 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"_{"sh"})/("p"*"t"_{"stk"}^2)`

Example

`"615.1629m"=("0.015571N"*"1.599984mm")/("0.499985mm"*("9mm")^2)`

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Perimeter of Cut when Shear is Applied Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Cutting Perimeter - (Measured in Meter) - Cutting Perimeter is the process of cutting the outer edges of a sheet of metal to shape it according to a specific design or pattern.
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.
Punch Penetration - (Measured in Meter) - Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation.
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)
Punch Penetration: 0.499985 Millimeter --> 0.000499985 Meter (Check conversion here)
Thickness of Stock: 9 Millimeter --> 0.009 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_ct = (F_s*t_sh)/(p*t_stk^2) --> (0.015571*0.001599984)/(0.000499985*0.009^2)

Evaluating ... ...

L_ct = 615.162920665398

STEP 3: Convert Result to Output's Unit

615.162920665398 Meter --> No Conversion Required

FINAL ANSWER

615.162920665398 ≈ 615.1629 Meter <-- Cutting Perimeter

(Calculation completed in 00.004 seconds)

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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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)

Blank Size when there is Corner Radius on Punch

Go Blank Diameter = sqrt(Outer Diameter of Shell^2+4*Outer Diameter of Shell*Shell Height-0.5*Corner Radius on Punch)

Maximum Shear Force given Shear Applied to Punch or Die

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

Shear on Punch or Die

Go Shear on Punch = Cutting 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)/(Cutting Perimeter*Punch Penetration))

Perimeter of Cut when Shear is Applied

Go Cutting 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)/(Cutting Perimeter*Thickness of Stock^2)

Punch Load

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

Perimeter of Cut when Shear is Applied Formula

Cutting Perimeter = (Maximum Shear Force*Shear on Punch)/(Punch Penetration*Thickness of Stock^2)
L_ct = (F_s*t_sh)/(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 Cutting Perimeter = (Maximum Shear Force*Shear on Punch)/(Punch Penetration*Thickness of Stock^2) to calculate the Cutting Perimeter, Perimeter of Cut when Shear is Applied formula calculates the perimeter of the shape to be punched out of sheet metal and determine the length of the cut edge when shear is applied to the punch in sheet metal operations. Cutting 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 Punch (t_sh), Punch Penetration (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 -> 615.1629 = (0.015571*0.001599984)/(0.000499985*0.009^2).

FAQ

What is Perimeter of Cut when Shear is Applied?

Perimeter of Cut when Shear is Applied formula calculates the perimeter of the shape to be punched out of sheet metal and determine the length of the cut edge when shear is applied to the punch in sheet metal operations and is represented as L_ct = (F_s*t_sh)/(p*t_stk^2) or Cutting Perimeter = (Maximum Shear Force*Shear on Punch)/(Punch Penetration*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, Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation & 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?

Perimeter of Cut when Shear is Applied formula calculates the perimeter of the shape to be punched out of sheet metal and determine the length of the cut edge when shear is applied to the punch in sheet metal operations is calculated using Cutting Perimeter = (Maximum Shear Force*Shear on Punch)/(Punch Penetration*Thickness of Stock^2). To calculate Perimeter of Cut when Shear is Applied, you need Maximum Shear Force (F_s), Shear on Punch (t_sh), Punch Penetration (p) & Thickness of Stock (t_stk). With our tool, you need to enter the respective value for Maximum Shear Force, Shear on Punch, Punch Penetration & 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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