Maximum Shear Force given Shear Applied to Punch or Die Calculator

✖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 as Fraction is the depth to which a punch penetrates into a material during a punching or piercing operation.ⓘ Punch Penetration [p]			+10% -10%
✖Shear on the punch is the force or stress acting parallel to the cross-sectional area of the punch, typically encountered during a punching operation.ⓘ Shear on the Punch [t_sh]			+10% -10%

✖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 given Shear Applied to Punch or Die [F_s]

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Formula

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Maximum Shear Force given Shear Applied to Punch or Die

Formula

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

Example

`"0.015571N"="615.6667mm"*"8.9963mm"*("8.9963mm"*"0.499985")/"1.599984mm"`

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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)/Shear on the Punch
F_s = L_ct*t_stk*(t_stk*p)/t_sh
This formula uses 5 Variables

Variables Used

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.
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.
Punch Penetration - Punch Penetration as Fraction is the depth to which a punch penetrates into a material during a punching or piercing operation.
Shear on the Punch - (Measured in Meter) - Shear on the punch is the force or stress acting parallel to the cross-sectional area of the punch, typically encountered during a punching operation.

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: 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

F_s = L_ct*t_stk*(t_stk*p)/t_sh --> 0.6156667*0.0089963*(0.0089963*0.499985)/0.001599984

Evaluating ... ...

F_s = 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)

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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)

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 the Punch

Shear on Punch or Die

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

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)

Stock Thickness when Shear used on Punch

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

Perimeter of Cut when Shear is Applied

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

Penetration of Punch as Fraction

Go Punch Penetration = (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)/Shear on the Punch
F_s = L_ct*t_stk*(t_stk*p)/t_sh

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)/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 F_s 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 (L_ct), Thickness of Stock (t_stk), Punch Penetration (p) & Shear on the Punch (t_sh) 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 -> 0.015571 = 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 F_s = L_ct*t_stk*(t_stk*p)/t_sh or Maximum Shear Force = Cut Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration)/Shear on the Punch. 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, Punch Penetration as Fraction is the depth to which a punch penetrates into a material during a punching or piercing operation & Shear on the punch is the force or stress acting parallel to the cross-sectional area of the punch, typically encountered during a punching operation.

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)/Shear on the Punch. To calculate Maximum Shear Force given Shear Applied to Punch or Die, you need Cut Perimeter (L_ct), Thickness of Stock (t_stk), Punch Penetration (p) & Shear on the Punch (t_sh). With our tool, you need to enter the respective value for Cut Perimeter, Thickness of Stock, Punch Penetration & 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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