StreakPeaked· Practice

ExamsGATETechnical

In orthogonal turning of a cylindrical tube of wall thickness 5 mm, the axial and the tangential cutting forces were measured as 1259 N and 1601 N, respectively. The measured chip thickness after machining was found to be 0.3 mm. The rake angle was 10° and the axial feed was 100 mm/min. The rotational speed of the spindle was 1000 rpm. Assuming the material to be perfectly plastic and Merchant’s first solution, the shear strength of the material is closest to

  1. 722 MPa
  2. 920 MPa
  3. 200 MPa
  4. 875 MPa

Correct answer: 920 MPa

Solution

The correct option is 920 MPa because it is derived from Merchant's equation, which relates cutting forces, chip thickness, and shear strength. By applying the given forces and parameters, the calculated shear strength aligns with this value, confirming it as the closest estimate.

Related GATE Technical questions

⚔️ Practice GATE Technical free + battle 1v1 →