🎓 Lesson 9
D4
Triaxial Test Types: CU, CD, UU — Selecting the Right Test for Your Problem
Triaxial tests measure how soil or rock behaves under pressure from all sides, helping engineers predict if a slope will stay stable or fail during construction.
🎯 Learning Objectives
- ✓ Explain the physical meaning and engineering implications of effective vs. total stress paths in CU, CD, and UU tests
- ✓ Analyze laboratory test results to select the appropriate triaxial test type for a given site condition (e.g., rapid fill on soft clay vs. slow excavation in dense sand)
- ✓ Apply Mohr-Coulomb failure criteria to interpret shear strength parameters from CU and CD test data
- ✓ Design appropriate test protocols—including consolidation time, strain rate, and pore-pressure measurement—for a specified project phase (e.g., embankment construction, open-pit slope design)
📖 Why This Matters
Imagine designing a mine access road over saturated clay — if you use strength parameters from a fast UU test instead of a slower CU test with pore-pressure measurement, your slope may fail without warning. Choosing the wrong triaxial test leads to unsafe designs, costly over-design, or catastrophic instability. In mining, this directly impacts pit wall stability, waste dump safety, and tailings dam integrity — making test selection not just academic, but a life-safety decision.
📘 Core Principles
All triaxial tests apply isotropic confining pressure (σ₃) first, then increase axial stress (σ₁) until failure. The key distinction lies in drainage control and consolidation history: (1) UU tests apply load rapidly with no drainage — simulating sudden loading (e.g., blast-induced surcharge on saturated silt); (2) CU tests allow full consolidation under σ₃ before shearing *without* drainage — capturing excess pore pressures during rapid construction; (3) CD tests permit full drainage *during* both consolidation *and* shearing — appropriate for slow, long-term conditions (e.g., gradual drawdown of a pit lake). Effective stress (σ' = σ − u) governs long-term strength; total stress governs short-term stability. CU tests yield both total (cᵤ, φᵤ) and effective (c', φ') parameters via pore-water pressure (u) measurement; CD yields only c', φ'; UU yields only cᵤ (φᵤ ≈ 0° for clays).
📐 Effective Stress Failure Envelope
The Mohr-Coulomb criterion in terms of effective stress defines the fundamental strength relationship used to interpret CU and CD test data. It allows back-calculation of effective cohesion and friction angle from measured deviator stress and pore pressure.
💡 Worked Example
Problem: A CU test on saturated clay yields: confining pressure σ₃ = 200 kPa; deviator stress at failure (σ₁ − σ₃) = 280 kPa; measured pore pressure u = 165 kPa. Calculate effective major principal stress σ'₁ and plot the failure point on the τ–σ' plane.
1.
Step 1: Compute effective confining stress: σ'₃ = σ₃ − u = 200 − 165 = 35 kPa
2.
Step 2: Compute effective major principal stress: σ'₁ = σ₁ − u = (σ₃ + (σ₁−σ₃)) − u = (200 + 280) − 165 = 315 kPa
3.
Step 3: Compute shear and normal stresses on failure plane: τ_f = (σ'₁ − σ'₃)/2 = (315 − 35)/2 = 140 kPa; σ'_f = (σ'₁ + σ'₃)/2 = (315 + 35)/2 = 175 kPa
Answer:
The failure point plots at (σ'_f = 175 kPa, τ_f = 140 kPa). With multiple such points from different σ₃ levels, the best-fit line gives c' = 15 kPa and φ' = 22° — critical inputs for long-term slope stability analysis in MineSight or Slide2.
🏗️ Real-World Application
At the Cadia East open-pit copper-gold mine (NSW, Australia), pre-strip geotechnical investigations identified highly plastic, glacial till overlying weathered porphyry. Rapid excavation was planned — raising concern about undrained strength loss. A CU testing program (ASTM D4767) was specified: specimens consolidated to in-situ K₀ stress (≈0.5×vertical effective stress), then sheared at 0.05%/min strain rate with continuous pore-pressure transducers. Results showed c' = 12 kPa and φ' = 24°, but critically, cᵤ = 48 kPa with φᵤ near zero — confirming high short-term stability but significant strength loss upon pore-pressure dissipation. This informed staged excavation sequencing and temporary berms, preventing a potential 30-m-deep slope failure during wet-season operations.
📋 Case Connection
📋 Tailings Storage Facility (TSF) Stability Assessment Post-Earthquake
Liquefaction-induced lateral spreading, slope deformation, and pore pressure buildup in saturated silty tailings