In an orthogonal cutting test with a bar of 75 mm diameter is reduced to 73 mm by using a HSS tool with a rake angle  = 10o , following observations were made: length of the chip, lc = 69.44 mm, cutting ratio r = 0.3, the horizontal component of the cutting force, FH = 1450 N, and the vertical component of the cutting force, FV = 850 N. The various parameters recorded in this cutting operation are: depth of cut, d = 2 mm; feed rate, f = 0.3 mm/rev, cutting speed, V = 60 m/min. Using Merchant’s theory calculate the following: 1) Friction force along rake face 2) Normal force acting on rake face 3) Shear force along the shear plane 4) Normal force acting on shear plane 5) The percentage error in shear angle predicted by Merchant’s theory 6) Shear velocity 7) Chip velocity 8) Total work done 9) The shear work proportion out of the total work done 10) The friction work proportion out of the total work done

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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In an orthogonal cutting test with a bar of 75 mm diameter is reduced to 73 mm by using a HSS tool with a
rake angle  = 10o
, following observations were made: length of the chip, lc = 69.44 mm, cutting ratio r =
0.3, the horizontal component of the cutting force, FH = 1450 N, and the vertical component of the cutting
force, FV = 850 N. The various parameters recorded in this cutting operation are: depth of cut, d = 2 mm;
feed rate, f = 0.3 mm/rev, cutting speed, V = 60 m/min. Using Merchant’s theory calculate the following:
1) Friction force along rake face
2) Normal force acting on rake face
3) Shear force along the shear plane
4) Normal force acting on shear plane
5) The percentage error in shear angle predicted by Merchant’s theory
6) Shear velocity
7) Chip velocity
8) Total work done
9) The shear work proportion out of the total work done
10) The friction work proportion out of the total work done

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