GATE ME 2020 Set 2 — Question 53
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Manufacturing Processes → Machining & Machine Tools → Merchant's Circle & Forces
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Question
A cylindrical bar with mm diameter is being turned with a tool having geometry inch (Coordinate system, ASA) resulting in a cutting force . If the tool geometry is changed to inch (Coordinate system, ASA) and all other parameters remain unchanged, the cutting force changes to . Specific cutting energy (in J/mm) is , where is the specific energy coefficient, and is the uncut thickness in mm. The value of percentage change in cutting force , i.e. , is ________ (round off to one decimal place).
Correct answer
-5.8
Solution
In the ASA tool geometry system, the angles are: back rake, side rake, end relief, side relief, end cutting edge angle (ECEA), side cutting edge angle (SCEA), and nose radius.
Taking the ratio of the two cutting forces:
The percentage change is:
.
1.For the first tool, SCEA () = .
2.For the second tool, SCEA () = .
The uncut chip thickness is given by , where is the feed.The cutting force is related to specific cutting energy and the chip area as:Taking the ratio of the two cutting forces:
The percentage change is:
.
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