Stock Thickness when Shear used on Punch Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Stock = sqrt((Maximum Shear Force*Shear on Punch)/(Cutting Perimeter*Punch Penetration))
tstk = sqrt((Fs*tsh)/(Lct*p))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
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.
Punch Penetration - (Measured in Meter) - Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation.
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)
Cutting Perimeter: 615.66 Meter --> 615.66 Meter No Conversion Required
Punch Penetration: 0.499985 Millimeter --> 0.000499985 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tstk = sqrt((Fs*tsh)/(Lct*p)) --> sqrt((0.015571*0.001599984)/(615.66*0.000499985))
Evaluating ... ...
tstk = 0.0089963659995882
STEP 3: Convert Result to Output's Unit
0.0089963659995882 Meter -->8.9963659995882 Millimeter (Check conversion ​here)
FINAL ANSWER
8.9963659995882 8.996366 Millimeter <-- Thickness of Stock
(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*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

Stock Thickness when Shear used on Punch Formula

Thickness of Stock = sqrt((Maximum Shear Force*Shear on Punch)/(Cutting Perimeter*Punch Penetration))
tstk = sqrt((Fs*tsh)/(Lct*p))

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 Stock Thickness when Shear used on Punch?

Stock Thickness when Shear used on Punch calculator uses Thickness of Stock = sqrt((Maximum Shear Force*Shear on Punch)/(Cutting Perimeter*Punch Penetration)) to calculate the Thickness of Stock, Stock Thickness when Shear used on Punch is used can be defined as that thickness which can be used while providing certain force and shear on punch. Thickness of Stock is denoted by tstk symbol.

How to calculate Stock Thickness when Shear used on Punch using this online calculator? To use this online calculator for Stock Thickness when Shear used on Punch, enter Maximum Shear Force (Fs), Shear on Punch (tsh), Cutting Perimeter (Lct) & Punch Penetration (p) and hit the calculate button. Here is how the Stock Thickness when Shear used on Punch calculation can be explained with given input values -> 89963.66 = sqrt((0.015571*0.001599984)/(615.66*0.000499985)).

FAQ

What is Stock Thickness when Shear used on Punch?
Stock Thickness when Shear used on Punch is used can be defined as that thickness which can be used while providing certain force and shear on punch and is represented as tstk = sqrt((Fs*tsh)/(Lct*p)) or Thickness of Stock = sqrt((Maximum Shear Force*Shear on Punch)/(Cutting Perimeter*Punch Penetration)). 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, 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 & Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation.
How to calculate Stock Thickness when Shear used on Punch?
Stock Thickness when Shear used on Punch is used can be defined as that thickness which can be used while providing certain force and shear on punch is calculated using Thickness of Stock = sqrt((Maximum Shear Force*Shear on Punch)/(Cutting Perimeter*Punch Penetration)). To calculate Stock Thickness when Shear used on Punch, you need Maximum Shear Force (Fs), Shear on Punch (tsh), Cutting Perimeter (Lct) & Punch Penetration (p). With our tool, you need to enter the respective value for Maximum Shear Force, Shear on Punch, Cutting Perimeter & Punch Penetration 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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