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Penetration of Punch as Fraction Formula

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Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation. Check FAQs

p = \frac{F s \cdot t sh}{L ct \cdot {t stk}^{2}}

p - Punch Penetration?F_s - Maximum Shear Force?t_sh - Shear on Punch?L_ct - Cutting Perimeter?t_stk - Thickness of Stock?

Penetration of Punch as Fraction Example

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Here is how the Penetration of Punch as Fraction equation looks like with Values.

Here is how the Penetration of Punch as Fraction equation looks like with Units.

Here is how the Penetration of Punch as Fraction equation looks like.

0.4996 = \frac{0.0156 \cdot 1.6}{615.66 \cdot 9^{2}}

0.4996mm = \frac{0.0156N \cdot 1.6mm}{615.66m \cdot {9mm}^{2}}

0.4996 = \frac{0.0156 \cdot 1.6}{615.66 \cdot 9^{2}}

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Penetration of Punch as Fraction Solution

Follow our step by step solution on how to calculate Penetration of Punch as Fraction?

FIRST Step Consider the formula

p = \frac{F s \cdot t sh}{L ct \cdot {t stk}^{2}}

Next Step Substitute values of Variables

∴

p = \frac{0.0156N \cdot 1.6mm}{615.66m \cdot {9mm}^{2}}

Next Step Convert Units

∴

p = \frac{0.0156N \cdot 0.0016m}{615.66m \cdot {0.009m}^{2}}

Next Step Prepare to Evaluate

∴

p = \frac{0.0156 \cdot 0.0016}{615.66 \cdot {0.009}^{2}}

Next Step Evaluate

∴

p = 0.000499581315805622m

Next Step Convert to Output's Unit

∴

p = 0.499581315805622mm

LAST Step Rounding Answer

∴

p = 0.4996mm

Penetration of Punch as Fraction Formula Elements

Variables

Punch Penetration

Punch Penetration is the depth to which a punch penetrates into a material during a punching or piercing operation.

Symbol: p

Measurement: LengthUnit: mm

Note: Value should be between 0 to 1.

Formulas to find Punch Penetration

Maximum Shear Force

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.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Maximum Shear Force

Shear on Punch

Shear on Punch is the force or stress acting parallel to the cross-sectional area of the punch, typically encountered during a punching operation.

Symbol: t_sh

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shear on Punch

Cutting Perimeter

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.

Symbol: L_ct

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cutting Perimeter

Thickness of Stock

Thickness of Stock generally refers to the initial thickness of raw material or stock material before any machining or processing takes place.

Symbol: t_stk

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Stock

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 Punching Force for Holes Smaller than Sheet Thickness

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

Go Punch Load

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

How to Evaluate Penetration of Punch as Fraction?

Penetration of Punch as Fraction evaluator uses Punch Penetration = (Maximum Shear Force*Shear on Punch)/(Cutting Perimeter*Thickness of Stock^2) to evaluate the Punch Penetration, The Penetration of Punch as Fraction formula is defined as the penetration of the punch relative to the stock thickness. Punch Penetration is denoted by p symbol.

How to evaluate Penetration of Punch as Fraction using this online evaluator? To use this online evaluator for Penetration of Punch as Fraction, enter Maximum Shear Force (F_s), Shear on Punch (t_sh), Cutting Perimeter (L_ct) & Thickness of Stock (t_stk) and hit the calculate button.

FAQs on Penetration of Punch as Fraction

What is the formula to find Penetration of Punch as Fraction?

The formula of Penetration of Punch as Fraction is expressed as Punch Penetration = (Maximum Shear Force*Shear on Punch)/(Cutting Perimeter*Thickness of Stock^2). Here is an example- 49958.13 = (0.015571*0.001599984)/(615.66*0.009^2).

How to calculate Penetration of Punch as Fraction?

With Maximum Shear Force (F_s), Shear on Punch (t_sh), Cutting Perimeter (L_ct) & Thickness of Stock (t_stk) we can find Penetration of Punch as Fraction using the formula - Punch Penetration = (Maximum Shear Force*Shear on Punch)/(Cutting Perimeter*Thickness of Stock^2).

Can the Penetration of Punch as Fraction be negative?

Yes, the Penetration of Punch as Fraction, measured in Length can be negative.

Which unit is used to measure Penetration of Punch as Fraction?

Penetration of Punch as Fraction is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Penetration of Punch as Fraction can be measured.

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Penetration of Punch as Fraction Formula

Penetration of Punch as Fraction Example

Penetration of Punch as Fraction Solution

Penetration of Punch as Fraction Formula Elements

Other formulas in Punch Operation category

How to Evaluate Penetration of Punch as Fraction?

FAQs on Penetration of Punch as Fraction

Variable Name