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Perimeter of Cut when Shear is Applied Formula

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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. Check FAQs

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

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

Perimeter of Cut when Shear is Applied Example

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Here is how the Perimeter of Cut when Shear is Applied equation looks like with Values.

Here is how the Perimeter of Cut when Shear is Applied equation looks like with Units.

Here is how the Perimeter of Cut when Shear is Applied equation looks like.

615.1629 = \frac{0.0156 \cdot 1.6}{0.5 \cdot 9^{2}}

615.1629m = \frac{0.0156N \cdot 1.6mm}{0.5mm \cdot {9mm}^{2}}

615.1629 = \frac{0.0156 \cdot 1.6}{0.5 \cdot 9^{2}}

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Perimeter of Cut when Shear is Applied Solution

Follow our step by step solution on how to calculate Perimeter of Cut when Shear is Applied?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L ct = \frac{0.0156N \cdot 1.6mm}{0.5mm \cdot {9mm}^{2}}

Next Step Convert Units

∴

L ct = \frac{0.0156N \cdot 0.0016m}{0.0005m \cdot {0.009m}^{2}}

Next Step Prepare to Evaluate

∴

L ct = \frac{0.0156 \cdot 0.0016}{0.0005 \cdot {0.009}^{2}}

Next Step Evaluate

∴

L ct = 615.162920665398m

LAST Step Rounding Answer

∴

L ct = 615.1629m

Perimeter of Cut when Shear is Applied Formula Elements

Variables

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

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

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

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 Perimeter of Cut when Shear is Applied?

Perimeter of Cut when Shear is Applied evaluator uses Cutting Perimeter = (Maximum Shear Force*Shear on Punch)/(Punch Penetration*Thickness of Stock^2) to evaluate the Cutting Perimeter, Perimeter of Cut when Shear is Applied formula calculates the perimeter of the shape to be punched out of sheet metal and determine the length of the cut edge when shear is applied to the punch in sheet metal operations. Cutting Perimeter is denoted by L_ct symbol.

How to evaluate Perimeter of Cut when Shear is Applied using this online evaluator? To use this online evaluator for Perimeter of Cut when Shear is Applied, enter Maximum Shear Force (F_s), Shear on Punch (t_sh), Punch Penetration (p) & Thickness of Stock (t_stk) and hit the calculate button.

FAQs on Perimeter of Cut when Shear is Applied

What is the formula to find Perimeter of Cut when Shear is Applied?

The formula of Perimeter of Cut when Shear is Applied is expressed as Cutting Perimeter = (Maximum Shear Force*Shear on Punch)/(Punch Penetration*Thickness of Stock^2). Here is an example- 615.1629 = (0.015571*0.001599984)/(0.000499985*0.009^2).

How to calculate Perimeter of Cut when Shear is Applied?

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

Can the Perimeter of Cut when Shear is Applied be negative?

No, the Perimeter of Cut when Shear is Applied, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Cut when Shear is Applied?

Perimeter of Cut when Shear is Applied is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Cut when Shear is Applied can be measured.

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Perimeter of Cut when Shear is Applied Formula

Perimeter of Cut when Shear is Applied Example

Perimeter of Cut when Shear is Applied Solution

Perimeter of Cut when Shear is Applied Formula Elements

Other formulas in Punch Operation category

How to Evaluate Perimeter of Cut when Shear is Applied?

FAQs on Perimeter of Cut when Shear is Applied

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