rocscience Software

Rocscience CPillar

Support Estimation Using Ground Reaction Curves

Logo Rocscience CPillar

Crown Pillar Stability Analysis

Get quick and easy stability analysis of surface or underground crown pillars and laminated roof beds using three different limit equilibrium analysis methods: rigid plate, elastic plate, and Voussoir (no tension) plate analysis.

Rocscience CPillar Logo
Rocscience CPillar Logo

Sensitivity & Probabilistic Analysis

Perform probabilistic analysis to determine the probability of failure. Model variability in geometry, point of force application, joint and bedding strength, water pressure, external loads and more by assigning statistical distributions to variables. Perform sensitivity analysis using a range of values to evaluate the effects of changing model parameters on factor of safety.

Empirical Design Method

Originally developed for steeply dipping ore body geometries, by estimating crown geometry and assessing the stope geometry as steep or shallow, you can apply the most appropriate empirical relationships to your model.

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Features in CPillar

Technical Specifications

Analysis Methods

  • Analysis Methods
  • Rigid plate analysis
  • Elastic plate analysis
  • Voussoir (no tension) plate analysis
  • Deterministic or probabilistic analysis type
  • Sensitivity analysis

Failure Modes

  • Shear (vertical slippage at abutments)
  • Elastic buckling
  • Arch snap-thru (buckling due to gravity)
  • Localized crushing failure

File Output

  • Save processed file
  • Export to Excel
  • Export image
  • Copy to clipboard

Geometry Definition

  • Pillar length
  • Pillar width
  • Pillar height
  • Rock unit weight
  • Overburden unit weight
  • Water unit weight
  • Permeable or impermeable pillar
  • Face dip (Voussoir)

Interface

  • Info Viewer provides a comprehensive summary of model
  • Input data and analysis results, in a formatted text listing
  • Display Options allows for customized colours, fonts, significant digits, view controls
  • Three-dimensional pillar display
  • Auto-compute results checkbox

Lateral Stress Definition

  • Stress type: Constant or Gravity
  • Water height
  • Overburden thickness
  • Horizontal sigma x; horizontal sigma y (constant stress)
  • Horizontal/vertical Kx; horizontal vertical Ky (gravity stress)
  • Support pressure (Voussoir)

Probabilistic Analysis

  • Probability of failure
  • Monte Carlo or Latin Hypercube sampling method
  • Histogram plot
  • Cumulative plot
  • Scatter plot
  • Highlight failed cases with a factor of safety below a certain value
  • Plot regression line

Shear Strength Criterion

  • Mohr-Coulomb
  • Generalized Hoek-Brown (GSI, mi, D)
  • Generalized Hoek-Brown (mb, s, a)
  • Hoek-Brown

Statistical Distributions

  • Normal
  • Uniform
  • Triangular
  • Beta
  • Exponential
  • Lognormal
  • Gamma

CPillar across Applications

Assess the risk of crown pillar failures using probabilistic analysis, as part of underground mine closure planning and decommissioning.

Analyze the stability of surface crown pillars under gravitational loading, while taking into account shear strength, lateral stress, and water pressure effects acting at the abutments.

Determine the maximum roof span using Rigid, Voussoir, Elastic, or Empirical methods.

Explore the latest features in CPillar

Conduct Rigid Analysis (plug failure) on custom polygonal-shaped pillars of uniform thickness with optional non-vertical pillar abutments.

Define locked-in stress, and principle lateral stresses to model in-situ stress conditions. Locked in stress option is available when using Gravity lateral stress type to set the lateral stress at the pillar surface to a non-zero value.

Analyze two-way plate bending of rectangular plates with clamped-edge boundary conditions, following the method from Theory of Plates and Shells (Timoshenko, 1969). Considers Elastic Buckling failure mode due to bending, and factored shear failure along the abutments.

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