Question

A single point cutting tool with ${12}^o$ rake angle is used for orthogonal machining of a ductile material. The shear plane angle for the theoretically minimum possible shear strain to occur

• A. $51$
• B. $45$
• C. $30$
• D. None of these

Answer 1

The correct option is A $51$

For theoretically minimum possible shear strain to occur
$2\varphi -\alpha ={90}^o$ [Friction angle $=0$
$\varphi =\frac{{90}^o+\alpha }{2}=\frac{{90}^o+{12}^o}{2}={51}^o$