The GATE Grind

GATE 2026 PI – Question 39

Manufacturing Processes I · Metal Forming · 2 marks · Multiple choice

Sheet-metal drawing is feasible if reduction ratio < 0.5 and thickness/diameter ratio > 1%. A 2 mm sheet is drawn with a 100 mm punch using various blank diameters D_b. Which D_b (mm) is feasible?

  1. 150
  2. 250
  3. 350
  4. 450

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Correct answer: (A) 150

Explanation

The reduction ratio is $(D_b-100)/D_b<0.5$, requiring $D_b<200$ mm. The thickness condition $2/D_b>0.01$ also requires $D_b<200$ mm. Only **150 mm, A**, satisfies both.

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