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Mechanical Engineering

Shear Angle in metal cutting Calculator

Mechanical Engineering

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Shear Angle in metal cutting

Equation and meaning

\[\phi = \frac{\pi}{2} + \frac{\alpha}{2} - \frac{\beta}{2}\]

Use this equation when the shown variables describe your problem. Keep all inputs in compatible units; the calculator converts them to SI internally before solving.

Variables in this formula

alpha — Alpha
Enter this value unless it is the selected unknown.
beta — Beta
Enter this value unless it is the selected unknown.
phi — Angle
Angle SI unit: rad

How to use this calculator

  1. Leave one value emptyThe empty field is automatically treated as the unknown.
  2. Enter known values and unitsChoose N, kgf, dyn, SI or another compatible unit when available.
  3. Review the automatic answerThe result appears immediately and is substituted back into the formula to check the residual.
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