Question
A straight-teeth horizontal slab milling cutter is shown in the figure. It has 4 teeth and diameter (D) of 200 mm. The rotational speed of the cutter is 100 rpm and the linear feed given to the workpiece is 1000 mm/minute. The width of the workpiece (w) is 100 mm, and the entire width is milled in a single pass of the cutter. The cutting force/tooth is given by F = Ktcw, where specific cutting force K = 10 N/mm2, w is the width of cut, and tc is the uncut chip thickness. The depth of cut (d) is D/2, and hence the assumption of is invalid. The maximum cutting force required is ______ KN (round off to one decimal place).
Answer :
Correct answer is : 2.5
Number of teeth z = 4
cutting force/teeth F = Ktcw
specific cutting force K = 10 N/mm2
Depth of cut, d = D/2 hence is invalid
width of cut, w =100 mm
rotational speed N = 100 rpm
diameter of cutter, D = 200 mm
Linear feed to workpiece f = 1000 mm/minute
Maximum uncut chip thickness is
tc, max = f sin θ =
tc, max =
tc, max = = 2.5 mm
Fmax = Kt c, maxw = 10 × 2.5 × 100 = 2500 N = 2.5 kN
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