Punching Force for Holes Smaller than Sheet Thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Punching Force or Load = (Punch or Ram Diameter*Blank or Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Blank or Sheet Thickness)^(1/3)
P = (dram*tb*ε)/(dram/tb)^(1/3)
This formula uses 4 Variables
Variables Used
Punching Force or Load - (Measured in Newton) - Punching force or load is the force required by the punch to shear of the blank to form final product of sheet metal.
Punch or Ram Diameter - (Measured in Meter) - Punch or Ram Diameter is the length of largest chord on circular cross section passing through its centre,Can also be said as maximum girth around the cylinder.
Blank or Sheet Thickness - (Measured in Meter) - Blank or Sheet Thickness is the given thickness of the stock material or blanks.
Tensile Strength - (Measured in Pascal) - Tensile strength is the stress at the maximum on the engineering stress-strain curve.
STEP 1: Convert Input(s) to Base Unit
Punch or Ram Diameter: 13.3 Millimeter --> 0.0133 Meter (Check conversion here)
Blank or Sheet Thickness: 1.12 Millimeter --> 0.00112 Meter (Check conversion here)
Tensile Strength: 27 Newton per Square Millimeter --> 27000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (dram*tb*ε)/(dram/tb)^(1/3) --> (0.0133*0.00112*27000000)/(0.0133/0.00112)^(1/3)
Evaluating ... ...
P = 176.287785271093
STEP 3: Convert Result to Output's Unit
176.287785271093 Newton --> No Conversion Required
FINAL ANSWER
176.287785271093 176.2878 Newton <-- Punching Force or Load
(Calculation completed in 00.004 seconds)

Credits

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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*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 = Perimeter of Cut*Stock Thickness*(Stock Thickness*Punch Penetration as Fraction)/Shear on the Punch
Shear on Punch or Die
Go Shear on the Punch = Perimeter of Cut*Stock Thickness*(Stock Thickness*Punch Penetration as Fraction)/Maximum Shear Force
Stock Thickness when Shear used on Punch
Go Stock Thickness = sqrt((Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*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 Perimeter of Cut = (Maximum Shear Force*Shear on the Punch)/(Punch Penetration as Fraction*Stock Thickness^2)
Penetration of Punch as Fraction
Go Punch Penetration as Fraction = (Maximum Shear Force*Shear on the Punch)/(Perimeter of Cut*Stock Thickness^2)
Punch Load
Go Punch Load = Perimeter of Cut*Bar Thickness*Strength Coefficient

Punching Force for Holes Smaller than Sheet Thickness Formula

Punching Force or Load = (Punch or Ram Diameter*Blank or Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Blank or Sheet Thickness)^(1/3)
P = (dram*tb*ε)/(dram/tb)^(1/3)

What is the punching force required to punch holes smaller than sheet thickness?

Punching force required to pierce holes smaller than sheet thickness can be estimated from the actual shear area and the shear strength of the material. This is the theoretical minimum load which must be supplied to the punch to obtain holes of smaller diameter than blank thickness.

How to Calculate Punching Force for Holes Smaller than Sheet Thickness?

Punching Force for Holes Smaller than Sheet Thickness calculator uses Punching Force or Load = (Punch or Ram Diameter*Blank or Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Blank or Sheet Thickness)^(1/3) to calculate the Punching Force or Load, The Punching Force for Holes Smaller than Sheet Thickness is the force required to be exerted by the punch in order to shear out the blank from the stock. It can be estimated from the actual shear area and the shear strength of the material. Punching Force or Load is denoted by P symbol.

How to calculate Punching Force for Holes Smaller than Sheet Thickness using this online calculator? To use this online calculator for Punching Force for Holes Smaller than Sheet Thickness, enter Punch or Ram Diameter (dram), Blank or Sheet Thickness (tb) & Tensile Strength (ε) and hit the calculate button. Here is how the Punching Force for Holes Smaller than Sheet Thickness calculation can be explained with given input values -> 176.2878 = (0.0133*0.00112*27000000)/(0.0133/0.00112)^(1/3).

FAQ

What is Punching Force for Holes Smaller than Sheet Thickness?
The Punching Force for Holes Smaller than Sheet Thickness is the force required to be exerted by the punch in order to shear out the blank from the stock. It can be estimated from the actual shear area and the shear strength of the material and is represented as P = (dram*tb*ε)/(dram/tb)^(1/3) or Punching Force or Load = (Punch or Ram Diameter*Blank or Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Blank or Sheet Thickness)^(1/3). Punch or Ram Diameter is the length of largest chord on circular cross section passing through its centre,Can also be said as maximum girth around the cylinder, Blank or Sheet Thickness is the given thickness of the stock material or blanks & Tensile strength is the stress at the maximum on the engineering stress-strain curve.
How to calculate Punching Force for Holes Smaller than Sheet Thickness?
The Punching Force for Holes Smaller than Sheet Thickness is the force required to be exerted by the punch in order to shear out the blank from the stock. It can be estimated from the actual shear area and the shear strength of the material is calculated using Punching Force or Load = (Punch or Ram Diameter*Blank or Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Blank or Sheet Thickness)^(1/3). To calculate Punching Force for Holes Smaller than Sheet Thickness, you need Punch or Ram Diameter (dram), Blank or Sheet Thickness (tb) & Tensile Strength (ε). With our tool, you need to enter the respective value for Punch or Ram Diameter, Blank or Sheet Thickness & Tensile Strength 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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