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Atterberg limits and plasticity index in plain words

Liquid limit, plastic limit and shrinkage limit, what the plasticity index tells you, and how the A-line classifies fine soils.

A fine-grained soil changes state as its water content changes: from liquid, to plastic, to semi-solid, to solid. The water contents at the boundaries are the Atterberg limits.

The three limits

  • Liquid limit (LL): the water content at which soil starts to flow. In the Casagrande test it is the water content at which a standard groove closes over 12.7 mm in 25 blows.
  • Plastic limit (PL): the water content at which a soil thread just crumbles when rolled to 3 mm diameter.
  • Shrinkage limit (SL): below this water content, losing more water does not reduce the volume.

Indices

Plasticity index: Ip = LL − PL

Liquidity index: IL = w − PLIp Consistency index: Ic = LL − wIp

Ic + IL = 1. A soil with IL above 1 is at a water content beyond its liquid limit and behaves like a thick liquid when disturbed.

Activity

A = Ip% finer than 2 μm

Activity above 1.25 points to active clays such as montmorillonite (black cotton soil), which swell and shrink a lot.

The plasticity chart and A-line

IS 1498 classifies fine soils on a chart of Ip against LL. The A-line is

Ip = 0.73 (LL − 20)

Soils plotting above it are clays (C), below it silts (M) or organic soils (O). Compressibility depends on LL: low (L) below 35, intermediate (I) 35 to 50, high (H) above 50.

Example: LL = 45, PL = 25, so Ip = 20. On the A-line, Ip = 0.73 × 25 = 18.25. The soil plots above it with LL between 35 and 50, so it is CI, clay of intermediate compressibility.

Quick check

A soil has LL = 45% and PL = 25%. Its plasticity index is:

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