GATE ME 2026 Set 1 — Question 63
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Manufacturing Processes → Machining & Machine Tools → Merchant's Circle & Forces
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Question
During orthogonal turning by using a single point cutting tool, feed rate is 0.24 mm/rev. The uncut chip thickness is 0.23 mm. The shear angle, tangential force component, and radial force component are 20°, 800 N, and 150 N, respectively. The value of shear force is ________ N (rounded off to 2 decimal places).
Correct answer
571 to 574
Solution
Given data:
Feed rate () = 0.24 mm/rev
Uncut chip thickness () = 0.23 mm
Shear angle () = 20°
Tangential force () = 800 N
Radial force () = 150 NIn turning, the relationship between uncut chip thickness and feed is , where is the side cutting edge angle.The thrust force () in the orthogonal plane is related to the radial force by :The shear force () is given by the formula:Rounding to 2 decimal places, the shear force is 572.13 N.
Feed rate () = 0.24 mm/rev
Uncut chip thickness () = 0.23 mm
Shear angle () = 20°
Tangential force () = 800 N
Radial force () = 150 NIn turning, the relationship between uncut chip thickness and feed is , where is the side cutting edge angle.The thrust force () in the orthogonal plane is related to the radial force by :The shear force () is given by the formula:Rounding to 2 decimal places, the shear force is 572.13 N.
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