GATE ME 2019 Set 1 — Question 45
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Manufacturing Processes → Machining & Machine Tools → Merchant's Circle & Forces
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Question
In orthogonal turning of a cylindrical tube of wall thickness , the axial and the tangential cutting forces were measured as and , respectively. The measured chip thickness after machining was found to be . The rake angle was and the axial feed was . The rotational speed of the spindle was . Assuming the material to be perfectly plastic and Merchant's first solution, the shear strength of the material is closest to
Correct answer
(A) 722 MPa
Solution
1.Calculate feed per revolution (): . For orthogonal turning of a tube, uncut chip thickness .
2.Calculate chip thickness ratio (): .
3.Calculate shear angle (): .
4.Use Merchant's first solution to find friction angle (): .
5.Calculate shear force (): Given tangential force and axial (thrust) force . .
6.Calculate shear area (): , where (wall thickness). .
7.Calculate shear strength (): .
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