Strength of MaterialsMechanical Engineering

Stress and Strain

Stress and Strain

Stress

It is the resistance offered by a body to deformation.

  • Nominal stress (Engineering stress) = Load/ Original area
  • Actual/True stress = Load/ Changed(Actual) area

Strain

  • Deformation per unit length in the direction of deformation is known as strain. It is dimensionless.
  • Strain = Change in dimension/ Original dimension

Engineering stress strain curve for mild steel for tension under static-loading.

  • OA — Straight line (proportional region, Hookes law is valid)
  • OB — Elastic region
  • BC′ — Elasto plastic region
  • CD — Perfectly plastic region
  • DE — Strain hardening
  • EF — Necking region
  • A — Limit of proportionality, stress strain curve ceases to be a straight line.
  • B — Elastic limit
  • D — Strain hardening starts

Strain

  • Slope of OA=Modulus of elasticity (Young’s Modulus): It is constant of proportionality which is defined as the intensity of stress that causes unit strain.
  • Plastic strain is 10 to 15 times elastic strain.
  • Fracture strain (∈f) depends on percentage carbon in steel.
  • When carbon percentage increases then fracture strain decreases and yield stress increases.

 Type of Tension

 

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