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Stress-strain diagram for mild steel

Short answer

The diagram shows a linear elastic region (Hooke’s law) up to proportional limit, a distinct yield plateau with upper and lower yield points around 250 N/mm², strain hardening to ultimate stress, then necking and fracture at the breaking point.

Neatly sketch stress-strain diagram for mild-steel showing salient points.

The diagram is obtained from a tension test on a mild steel specimen (nominal stress =P/A0= P/A_0 against strain =ΔL/L0= \Delta L/L_0).

 stress
   |            D (ultimate)
   |           ,-'''-.
   |       B C/       '.  E (fracture)
   |      ,-'''           x
   |     /  yield
   |    /  plateau
   |   /
   |  /  elastic
   | /A  (Hooke's law)
   |/__________________________ strain
   O
 A=proportional limit, B=upper yield, C=lower yield
 D=ultimate stress, E=breaking point

Salient points

  1. O to A, proportional limit: stress is proportional to strain (Hooke's law); the slope is EE.
  2. Elastic limit: just beyond A; material returns to its original length on unloading.
  3. Upper yield point (B) and lower yield point (C): the stress drops slightly and the specimen elongates considerably at nearly constant stress (yield plateau). Mild steel has σy≈250 N/mm2\sigma_y \approx 250\ \text{N/mm}^2.
  4. Strain hardening (C to D): the material regains strength and the curve rises to the maximum.
  5. Ultimate stress (D): the maximum nominal stress; after this, necking starts.
  6. Breaking (fracture) point (E): the nominal stress falls as the section necks, and the specimen breaks. The true stress, based on the reduced area, actually keeps rising to fracture.

✓ Answer checked by Claude Opus 5.5 (high effort)

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