Maximum Shear Force given Shear Applied to Punch or Die Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Shear Force = Cutting Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration)/Shear on Punch
Fs = Lct*tstk*(tstk*p)/tsh
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.
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.
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 - (Measured in Meter) - Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation.
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.
STEP 1: Convert Input(s) to Base Unit
Cutting Perimeter: 615.66 Meter --> 615.66 Meter No Conversion Required
Thickness of Stock: 9 Millimeter --> 0.009 Meter (Check conversion ​here)
Punch Penetration: 0.499985 Millimeter --> 0.000499985 Meter (Check conversion ​here)
Shear on Punch: 1.599984 Millimeter --> 0.001599984 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fs = Lct*tstk*(tstk*p)/tsh --> 615.66*0.009*(0.009*0.000499985)/0.001599984
Evaluating ... ...
Fs = 0.0155835820690082
STEP 3: Convert Result to Output's Unit
0.0155835820690082 Newton --> No Conversion Required
FINAL ANSWER
0.0155835820690082 0.015584 Newton <-- Maximum Shear Force
(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

Maximum Shear Force given Shear Applied to Punch or Die Formula

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

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 = Cutting Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration)/Shear on 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 Fs 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 Cutting Perimeter (Lct), Thickness of Stock (tstk), Punch Penetration (p) & Shear on Punch (tsh) 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 -> 0.000156 = 615.66*0.009*(0.009*0.000499985)/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 Fs = Lct*tstk*(tstk*p)/tsh or Maximum Shear Force = Cutting Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration)/Shear on Punch. 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, Thickness of Stock generally refers to the initial thickness of raw material or stock material before any machining or processing takes place, Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation & Shear on 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 = Cutting Perimeter*Thickness of Stock*(Thickness of Stock*Punch Penetration)/Shear on Punch. To calculate Maximum Shear Force given Shear Applied to Punch or Die, you need Cutting Perimeter (Lct), Thickness of Stock (tstk), Punch Penetration (p) & Shear on Punch (tsh). With our tool, you need to enter the respective value for Cutting Perimeter, Thickness of Stock, Punch Penetration & Shear on 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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