Geology Engineering

Stereonet Projection Uncertainty–Constrained Structural Confidence Cone Radius Calculator

calculate angular radius of 3D confidence cone around pole-to-plane or lineation orientation derived from measurement error propagation in stereographic projection.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Stereonet Projection Uncertainty–Constrained Structural Confidence Cone Radius

Calculator

Confidence Cone Angular Radius (degree)
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Result Interpretation

Stereonet Projection Uncertainty–Constrained Structural Confidence Cone Radius Calculator computes Confidence Cone Angular Radius in degree using the defined engineering formula and the input values provided. Confidence Cone Angular Radius is expressed in degree. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Orientation Uncertainty Factor = 2
  • Fisher Concentration Parameter = 10

Expected Result:

  • Confidence Cone Angular Radius = 0.15585377689114

Engineering Interpretation:

Under the given input conditions, the calculated result is: Confidence Cone Angular Radius = 0.15585377689114 degree.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

confidence cone angular radius = acos(1 - (1 - cos(orientation uncertainty factor * 3.14159265358979 / 180)) * (1 - exp(-fisher concentration parameter * (1 - cos(orientation uncertainty factor * 3.14159265358979 / 180))))) * 180 / 3.14159265358979

Formula family: formula_geology_stereonet_projection_uncertainty_constrained_structural_confidence_cone_radius_calculator

Variables

SymbolLabelRoleDescription
uncertainty_factor Orientation Uncertainty Factor INPUT Orientation Uncertainty Factor
fisher_kappa Fisher Concentration Parameter INPUT Fisher Concentration Parameter
angular_radius Confidence Cone Angular Radius OUTPUT Confidence Cone Angular Radius

Calculation Steps

  1. Enter the orientation uncertainty factor in degree.
  2. Enter the fisher concentration parameter in dimensionless.
  3. Step 1: Compute confidence cone angular radius.
  4. Read the confidence cone angular radius (degree) from the results.

Engineering Summary

Calculate Stereonet Projection Uncertainty–Constrained Structural Confidence Cone Radius

Frequently Asked Questions

What does this calculator calculate?

The Stereonet Projection Uncertainty–Constrained Structural Confidence Cone Radius Calculator estimates Confidence Cone Angular Radius based on the input parameters you provide

Why is orientation uncertainty factor important in this calculation?

orientation uncertainty factor is used directly in the calculation of confidence cone angular radius. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter orientation uncertainty factor in degree, the calculator uses it in the engineering formula to compute the output

How should I interpret the result confidence cone angular radius?

The calculator outputs confidence cone angular radius in degree. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Orientation Uncertainty Factor (degree), Fisher Concentration Parameter (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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