Rocscience Software

Rocscience CPillar

Support Estimation Using Ground Reaction Curves

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.

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.

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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