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Machine Design
Design Against Static Load
GATE 2009
Medium

For the same spur pinion (module 4mm, 21 teeth, face width 25mm, tangential force 3552 N), given that the tooth geometry (Lewis form) factor is 0.32 and the combined effect of dynamic load and allied factors intensifying the stress is 1.5, the minimum allowable stress (in MPa) for the gear material is

  • A242.0
  • 166.5
  • C121.0
  • D74.0

Explanation

Lewis equation: σ=(Ft×Cs)/(b·m·y)=(3552×1.5)/(25×4×0.32)=5328/32≈166.5 MPa.

Source: GATE ME 2009 (2009)

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