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Materials Science and Manufacturing Engineering Miscellaneous

Materials Science and Manufacturing Engineering

  1. A single-point cutting tool with 12° rake angle is used to machine a steel work-piece. The depth of cut, i.e. uncut thickness is 0.81 mm. The chip thickness under orthogonal machining condition is 1.8 mm. The shear angle is approximately
    1. 22°
    2. 26°
    3. 56°
    4. 76°
Correct Option: B

Relation between shear angle (φ), chip thickness ratio (r) and rake angle (α) is given by

tan φ =
rcosα
1 − rsinα

where,   r =
0.81
= 0.45
1.8

tan φ =
0.45cos12
1 − 0.45sin12

⇒  φ = 26°



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