Question

A single point cutting tool with 12⁰ rake angle is used for orthogonal machining of a ductile material. find 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 answer is A) 51.

How can you find the shear plane angle for the theoretically minimum possible shear strain?

For orthogonal machining with a positive rake angle, the shear plane angle for minimum shear strain can be calculated using the formula:

φ = 90° + α/2

where:

φ is the shear plane angle

α is the tool rake angle

In this case, the rake angle is 12°, so:

φ = 90° + 12° / 2 = 90° + 6° = 51°

Therefore, the shear plane angle for minimum shear strain is 51°.