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Punching Force for Holes Smaller than Sheet Thickness Formula

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Punching Force or Load is the force required by the punch to shear of the blank to form final product of sheet metal. Check FAQs

P = \frac{d rm \cdot t b \cdot ε}{{(\frac{d rm}{t b})}^{\frac{1}{3}}}

P - Punching Force or Load?d_rm - Punch or Ram Diameter?t_b - Sheet Thickness?ε - Tensile Strength?

Punching Force for Holes Smaller than Sheet Thickness Example

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Here is how the Punching Force for Holes Smaller than Sheet Thickness equation looks like with Values.

Here is how the Punching Force for Holes Smaller than Sheet Thickness equation looks like with Units.

Here is how the Punching Force for Holes Smaller than Sheet Thickness equation looks like.

178.3896 = \frac{13.3 \cdot 1.13 \cdot 27}{{(\frac{13.3}{1.13})}^{\frac{1}{3}}}

178.3896N = \frac{13.3mm \cdot 1.13mm \cdot 27N/mm²}{{(\frac{13.3mm}{1.13mm})}^{\frac{1}{3}}}

178.3896 = \frac{13.3 \cdot 1.13 \cdot 27}{{(\frac{13.3}{1.13})}^{\frac{1}{3}}}

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Punching Force for Holes Smaller than Sheet Thickness Solution

Follow our step by step solution on how to calculate Punching Force for Holes Smaller than Sheet Thickness?

FIRST Step Consider the formula

P = \frac{d rm \cdot t b \cdot ε}{{(\frac{d rm}{t b})}^{\frac{1}{3}}}

Next Step Substitute values of Variables

∴

P = \frac{13.3mm \cdot 1.13mm \cdot 27N/mm²}{{(\frac{13.3mm}{1.13mm})}^{\frac{1}{3}}}

Next Step Convert Units

∴

P = \frac{0.0133m \cdot 0.0011m \cdot 2.7E+7Pa}{{(\frac{0.0133m}{0.0011m})}^{\frac{1}{3}}}

Next Step Prepare to Evaluate

∴

P = \frac{0.0133 \cdot 0.0011 \cdot 2.7E+7}{{(\frac{0.0133}{0.0011})}^{\frac{1}{3}}}

Next Step Evaluate

∴

P = 178.389566220022N

LAST Step Rounding Answer

∴

P = 178.3896N

Punching Force for Holes Smaller than Sheet Thickness Formula Elements

Variables

Punching Force or Load

Punching Force or Load is the force required by the punch to shear of the blank to form final product of sheet metal.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Punching Force or Load

Punch or Ram Diameter

Punch or Ram Diameter is the diameter of the tool used to shape the metal workpiece. This tool applies force to the workpiece, causing it to deform and take on the desired shape.

Symbol: d_rm

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Punch or Ram Diameter

Sheet Thickness

Sheet Thickness or blank thickness is the distance between the two parallel surfaces of a sheet of material, such as metal or plastic.

Symbol: t_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Sheet Thickness

Tensile Strength

Tensile Strength is the maximum stress that a material can withstand while being stretched or pulled before it breaks or permanently deforms.

Symbol: ε

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Strength

Other formulas in Punch Operation category

Go Shear on Punch or Die

t sh = L ct \cdot t stk \cdot \frac{t stk \cdot p}{F s}

Go Stock Thickness when Shear used on Punch

t stk = \sqrt{\frac{F s \cdot t sh}{L ct \cdot p}}

Go Punch Load

L p = L ct \cdot t bar \cdot S c

Go Blank Size when there is Corner Radius on Punch

d bl = \sqrt{{d s}^{2} + 4 \cdot d s \cdot h shl - 0.5 \cdot r cn}

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

Punching Force for Holes Smaller than Sheet Thickness evaluator uses Punching Force or Load = (Punch or Ram Diameter*Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Sheet Thickness)^(1/3) to evaluate 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 evaluate Punching Force for Holes Smaller than Sheet Thickness using this online evaluator? To use this online evaluator for Punching Force for Holes Smaller than Sheet Thickness, enter Punch or Ram Diameter (d_rm), Sheet Thickness (t_b) & Tensile Strength (ε) and hit the calculate button.

FAQs on Punching Force for Holes Smaller than Sheet Thickness

What is the formula to find Punching Force for Holes Smaller than Sheet Thickness?

The formula of Punching Force for Holes Smaller than Sheet Thickness is expressed as Punching Force or Load = (Punch or Ram Diameter*Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Sheet Thickness)^(1/3). Here is an example- 176.2878 = (0.0133*0.00113*27000000)/(0.0133/0.00113)^(1/3).

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

With Punch or Ram Diameter (d_rm), Sheet Thickness (t_b) & Tensile Strength (ε) we can find Punching Force for Holes Smaller than Sheet Thickness using the formula - Punching Force or Load = (Punch or Ram Diameter*Sheet Thickness*Tensile Strength)/(Punch or Ram Diameter/Sheet Thickness)^(1/3).

Can the Punching Force for Holes Smaller than Sheet Thickness be negative?

No, the Punching Force for Holes Smaller than Sheet Thickness, measured in Force cannot be negative.

Which unit is used to measure Punching Force for Holes Smaller than Sheet Thickness?

Punching Force for Holes Smaller than Sheet Thickness is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Punching Force for Holes Smaller than Sheet Thickness can be measured.

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Punching Force for Holes Smaller than Sheet Thickness Formula

Punching Force for Holes Smaller than Sheet Thickness Example

Punching Force for Holes Smaller than Sheet Thickness Solution

Punching Force for Holes Smaller than Sheet Thickness Formula Elements

Other formulas in Punch Operation category

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

FAQs on Punching Force for Holes Smaller than Sheet Thickness

Variable Name