Bending Stress from the Flexure Formula

Mediumbending stressflexure
A beam carries bending moment M = 10 kN·m. At a distance c = 0.10 m from the neutral axis, with second moment of area I = 8 × 10-6 m4, what is the elastic bending stress magnitude?
  1. A62.5 MPa
  2. B100 MPa
  3. C125 MPa
  4. D250 MPa
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Answer: C. 125 MPa

Apply the flexure formula: σ = Mc/I = (10,000 N·m)(0.10 m)/(8 × 10⁻⁶ m⁴) = 125 × 10⁶ Pa = 125 MPa.
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