Multiple choice

Orthogonal turning is performed on a cylindrical work piece with shear strength of 250 MPa. The following conditions are used cutting velocity is 180 m/min, feed is 0.20 mm/rev, depth of cut is 3 mm, chip thickness ratio = 0.5. The orthogonal rake angle is 70. Apply merchant's theory for analysis.

The cutting and frictional forces, respectively, are

  1. 568; 342 N

  2. 565; 381 N

  3. 440; 342 N

  4. 480; 356 N
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B Correct answer
Explanation

$\text{Now we have to find cutting force $(F_c)$ and frictional force $(f_t)$from merchant's theory,}\\ \hspace{1cm}2\phi+\beta-\alpha=90^0 \\ \hspace{3cm}\beta=90^0+\alpha-2\phi \\ \hspace{3cm}=90^0+7-2\times28=41^0$

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