Project ForgeManufacturing Engineering
Machining Processes
GATE 2015
Hard
An orthogonal turning operation is carried out under the following conditions: rake angle=5°; spindle rotational speed=400 rpm; axial feed=0.4 m/min and radial depth of cut=5 mm. The chip thickness, tc, is found to be 3 mm. The shear angle (in degrees) in this turning process is __________.
18.75 °(± 0.3 accepted)
Explanation
Feed per revolution (uncut chip thickness) t1 = axial feed/rpm = 0.4/400 = 0.001 m/rev = 1 mm/rev. Chip-thickness ratio r=t1/t2=1/3=0.3333. tanφ = r·cosα/(1−r·sinα) = 0.3333×cos5°/(1−0.3333×sin5°) = 0.3321/0.9709 ≈ 0.342, giving φ ≈ 18.87°.
Source: GATE ME 2015 (Session 1) (2015)
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