Pillar Safety Factor Calculator

Audit independently verified pillar strength and measured stress margins, not empirical geometry-based pillar strength or an actual safety-factor certification. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

A strength-to-stress ratio compares independently established pillar strength with measured stress.

A strength-to-stress ratio compares independently established pillar strength with measured stress.^[1]

A signed margin uses an independently chosen required ratio.

When to use Pillar Safety Factor Calculator

Use this tool to calculate or review the supplied observations under the stated rules. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.

How to use Pillar Safety Factor Calculator and understand its results

Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.
Enter callerIndependentlyVerifiedPillarStrengthMpa, observedMatchedPillarStressesMpa, callerRequiredStrengthStressRatios, using the field meanings and rules below, then run the tool.
Read observedStrengthStressRatios, signedCallerRatioMargins. Inspect nested result fields where present, and review unknown records separately from known matches.
Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.

Input field	Meaning	Value type	Requirement
callerIndependentlyVerifiedPillarStrengthMpa	Caller independently verified pillar strength mpa	list of number	Required
observedMatchedPillarStressesMpa	Observed matched pillar stresses mpa	list of number	Required
callerRequiredStrengthStressRatios	Caller required strength stress ratios	list of number	Required

Use aligned strengths>0, stresses>0 and required ratios>0. Divide strength by stress and subtract the required ratio. Negative margins remain signed; the calculation does not independently establish strength or certify support adequacy.

ratio_i=strength_i/stress_i; margin_i=ratio_i−required_i

Use the matching field units and the exact boundary, ordering and reference rules above.

Output field	Meaning	Value type
observedStrengthStressRatios	Observed strength stress ratios	list of number
signedCallerRatioMargins	Signed caller ratio margins; preserve the subtraction order and sign defined in the mechanics	list of number

json

{
  "input": {
    "callerIndependentlyVerifiedPillarStrengthMpa": [
      10,
      20
    ],
    "observedMatchedPillarStressesMpa": [
      5,
      25
    ],
    "callerRequiredStrengthStressRatios": [
      2,
      2
    ]
  },
  "output": {
    "observedStrengthStressRatios": [
      2,
      0.8
    ],
    "signedCallerRatioMargins": [
      0,
      -1.2
    ]
  }
}

Limitations and assumptions

Units, ledger boundaries, survey interpretation and model applicability must be independently established. These summaries do not assign reserve/resource classifications or establish support adequacy, ventilation safety or an operating setting.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.

Alternative or Complementary methods

For a related step, use Pillar Width to Height Ratio Calculator: A pillar’s width-to-height ratio summarizes observed morphology. For a complementary comparison, use Rock Support Pressure Calculator: Contact force divided by contact area describes observed support pressure.

References

Pillar Safety Factor Calculator — tool.io

Similar or alternative tools

Pillar Width to Height Ratio Calculator
A pillar’s width-to-height ratio summarizes observed morphology.
Rock Support Pressure Calculator
Contact force divided by contact area describes observed support pressure.