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GATE 2021 AG – Question 38

Farm Machinery · Machine Design · 2 marks · Multiple choice

A 6 mm diameter bushy-crop stem is cut by impact50 mm above soil. Young modulus1500 N/mm²,ultimate tensile strength35 N/mm². Based on the entire cross-section, find bending-failure force in N. Use π=3.14.

  1. 14.84
  2. 23.52
  3. 29.69
  4. 44.53

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Correct answer: (A) 14.84

Explanation

For a circular section,$Z=\pi d^3/32=3.14(6)^3/32=21.195$ mm³. Failure moment=35Z=741.825 N mm. With50 mm lever arm, F=741.825/50=14.8365 N, so **14.84,A**. Young modulus governs deflection but does not enter this prescribed-strength criterion.

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