Perimeter of Cut when Shear is Applied Calculator

Formula Used:

\[ Cutting\ Perimeter = \frac{Maximum\ Shear\ Force \times Shear\ on\ Punch}{Punch\ Penetration \times Thickness\ of\ Stock^2} \] \[ Lct = \frac{Fs \times tsh}{p \times tstk^2} \]

Maximum Shear Force (Fs):

Newton

Shear on Punch (tsh):

Meter

Punch Penetration (p):

Meter

Thickness of Stock (tstk):

Meter

Cutting Perimeter (Lct):

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1. What is the Perimeter of Cut when Shear is Applied?

The Perimeter of Cut when Shear is Applied refers to the total length of the cutting edge required in a punching or shearing operation. It represents the boundary along which material separation occurs under shear forces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Cutting\ Perimeter = \frac{Maximum\ Shear\ Force \times Shear\ on\ Punch}{Punch\ Penetration \times Thickness\ of\ Stock^2} \]

Where:

\( Maximum\ Shear\ Force \) — Highest magnitude of force acting perpendicular to the cross-section (Newton)
\( Shear\ on\ Punch \) — Force or stress acting parallel to the cross-sectional area of the punch (Meter)
\( Punch\ Penetration \) — Depth to which a punch penetrates into a material (Meter)
\( Thickness\ of\ Stock \) — Initial thickness of raw material before processing (Meter)

Explanation: This formula calculates the cutting perimeter by considering the relationship between shear forces, punch characteristics, and material thickness.

3. Importance of Cutting Perimeter Calculation

Details: Accurate calculation of cutting perimeter is crucial for determining the required force in punching operations, optimizing tool design, and ensuring proper material separation in metalworking processes.

4. Using the Calculator

Tips: Enter all values in meters and newtons. Ensure all values are positive and greater than zero for accurate calculations.

5. Frequently Asked Questions (FAQ)

Q1: Why is cutting perimeter important in metalworking?
A: Cutting perimeter determines the required force and energy for punching operations, affects tool life, and influences the quality of the cut edge.

Q2: How does material thickness affect cutting perimeter?
A: Thicker materials require longer cutting perimeters and higher forces to achieve clean separation, as thickness is squared in the denominator of the formula.

Q3: What factors influence shear force in punching operations?
A: Material properties, punch geometry, cutting clearance, and lubrication all affect the maximum shear force required.

Q4: How does punch penetration affect the calculation?
A: Deeper punch penetration increases the contact area and reduces the required cutting perimeter for a given force.

Q5: Can this formula be used for different materials?
A: Yes, but material-specific shear strength properties should be considered for accurate calculations across different materials.