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Question

The cutting length of the broach for the key way cutting in a 150mm long cast iron gear hub. given the width of the key way is 9mm depth of key way is 4.5mm of finishing teeth =4 and no.of semi finishing teeth =8

Rise per tooth Pitch
Roughing teeth 0.1mm 22mm
Semi finishing teeth 0.0125mm 20mm
Finishing teeth 0 20mm

A
968mm
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B
160mm
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C
1208mm
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D
None of these
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Solution

The correct option is C 1208mm
d4.5mm
dfinishing=0
ds=0.0125×8=0.1
dr=dtotal(df+ds)
4.501=4.4
ηr=drhr=4.40.1=44 teeth
Cutting length = effective length
=Lr+Ls+Lr
=44×22+8×20+4×20
=1208mm

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