Modulus of Resilience of Steel
Hardstrain energyresilience
A steel with yield strength 250 MPa and elastic modulus 200 GPa is loaded to the edge of yielding. Its modulus of resilience, the strain energy stored per unit volume, is most nearly:
- A78 kJ/m³
- B156 kJ/m³
- C312 kJ/m³
- D625 kJ/m³
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Answer: B. 156 kJ/m³
The modulus of resilience is the triangular area under the stress-strain curve up to yield: u = σy²/(2E) = 250²/(2 × 200,000) = 0.156 MPa = 156 kJ/m³. Omitting the factor of two computes the area of a rectangle instead of a triangle and doubles the result.
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