Topic: Machine Design
The specific metal cutting energy is expressed as (where α is rake angle, β is friction angle, φ is shear angle and τ is shear stress)
- A. τ cos(β-α) / [sinφ cos(φ+β-α)]
- B. τ sin(β-α) / [sinφ cos(φ-β+α)]
- C. τ cos(α-β) / [sinφ cos(φ-β+α)]
- D. τ sin(α-β) / [sinφ cos(φ+β-α)]
Answer: A. τ cos(β-α) / [sinφ cos(φ+β-α)]
Explanation: Specific cutting energy (Uc) is the cutting force (Fc) per unit material removal rate (MRR). The expression for Fc derived from Merchant's circle analysis leads to this formula for Uc.