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Shear Strength of Soil

Mohr–Coulomb failure criterion in total and effective stresses, Mohr circle relations and failure plane, laboratory tests — direct shear, triaxial (UU, CU, CD), unconfined compression, vane shear; drainage conditions and their use, Skempton's pore pressure parameters, behaviour of sands (dilatancy, critical void ratio, liquefaction) and clays (NC and OC), sensitivity — with solved numericals.

📑 Contents (8 sections)

Last reviewed 16 Sept 2026 · 6 min read

Shear strength

Shear strength is the maximum resistance a soil offers to shearing stress on a plane. Bearing capacity, slope stability, earth pressure on walls and pile capacity all depend on it. Soil fails in shear, not by crushing of grains.

Shear resistance comes from:

  • Friction between particles (sliding and interlocking), which grows with effective normal stress, and
  • Cohesion — bonding/attraction between particles in clays (and apparent cohesion from suction or cementation).

Mohr–Coulomb failure criterion

FormulaMohr–Coulomb

Total stress:

Effective stress (Terzaghi):

, = cohesion intercept; , = angle of shearing resistance (internal friction). Shear strength is fundamentally governed by effective stress.

Typical parameters:

Soil
Loose sand 0 28°–32°
Dense sand 0 35°–45°
Normally consolidated clay ≈ 0 20°–30°
Over-consolidated clay small positive 20°–30°
Saturated clay, undrained (φ = 0 analysis) 0

Mohr circle and failure plane

At failure the Mohr circle of stress touches the strength envelope. The failure plane makes an angle with the major principal plane:

FormulaPrincipal stresses at failure

For :

Laboratory tests

Direct shear (box) test

Soil in a split box is sheared along a forced horizontal plane under a normal load. Plot shear stress at failure against normal stress → and .

  • Advantages: simple, quick, good for sands; residual strength by reversals.
  • Limitations: failure plane predetermined; non-uniform stress distribution; drainage cannot be controlled and pore pressure cannot be measured; area changes during shear; principal stresses unknown.

Triaxial compression test

A cylindrical specimen (commonly 38 mm diameter, 76 mm high) in a rubber membrane is subjected to cell pressure , then an axial deviator stress until failure. Drainage and pore pressure are controlled and measured.

Test Consolidation stage Shearing stage Parameters Field use
UU (Unconsolidated Undrained, "quick") Undrained Undrained , ≈ 0 for saturated clay End-of-construction stability of clays; quick loading
CU (Consolidated Undrained) Drained Undrained (pore pressure measured) , and , Rapid drawdown; staged construction
CD (Consolidated Drained, "slow") Drained Drained (slow) , Long-term stability; sands

Advantages over direct shear: failure on the weakest plane, drainage control, pore pressure measurement, known principal stresses, full stress–strain behaviour.

Unconfined compression test (UCS)

A special triaxial test with , for saturated clays:

= unconfined compressive strength. Quick; used for consistency of clays (very soft < 25 kPa ; soft 25–50; medium 50–100; stiff 100–200; very stiff 200–400; hard > 400). Also gives sensitivity when repeated on remoulded soil.

Vane shear test

A four-bladed vane pushed into soft clay (in the laboratory or field) and rotated; the torque at failure gives undrained strength. For a vane of diameter and height with both ends shearing:

Ideal for soft, sensitive clays that are difficult to sample.

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