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In the theory of orthogonal machining, assuming that the shear plane will take up an angle that minimizes energy, the shear angle can be shown to be

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

where \( \phi \) is the shear angle, \( \alpha \) the rake angle, and \( \beta \) the friction angle.

Which ONE or MORE among the following is/are TRUE?
  • GATE PI - 2026
  • GATE PI
  • Metal Cutting and Machining
  • Mechanics of Orthogonal Cutting, Merchant's Theory