Pillar Width to Height Ratio Calculator

Audit actual minimum pillar width/height morphology with caller review floors, not empirical strength or support safety factor. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

A pillar’s width-to-height ratio summarizes observed morphology.

A pillar’s width-to-height ratio summarizes observed morphology.1

Comparing it with a supplied floor is a review screen rather than a strength estimate.

When to use Pillar Width to Height Ratio 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 Width to Height Ratio Calculator and understand its results

  1. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.
  2. Enter observedPillarMinimumWidthsM, observedPillarHeightsM, callerVerifiedRatioReviewFloors, using the field meanings and rules below, then run the tool.
  3. Read observedPillarWidthHeightRatios, pillarRatioReviewIndices. Inspect nested result fields where present, and review unknown records separately from known matches.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedPillarMinimumWidthsMObserved pillar minimum widths mlist of numberRequired
observedPillarHeightsMObserved pillar heights mlist of numberRequired
callerVerifiedRatioReviewFloorsCaller verified ratio review floorslist of numberRequired

Use aligned minimum widths>0, heights>0 and review floors≥0. Return width/height and zero-based indices strictly below the matched floor; equality is not flagged.

ratio_i=width_i/height_i; review={i:ratio_i<floor_i}

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

Output fieldMeaningValue type
observedPillarWidthHeightRatiosObserved pillar width height ratioslist of number
pillarRatioReviewIndicesPillar ratio review indices; zero-based positions in the relevant supplied record or adjacent-pair listlist of number
json
{
  "input": {
    "observedPillarMinimumWidthsM": [
      2,
      4
    ],
    "observedPillarHeightsM": [
      4,
      2
    ],
    "callerVerifiedRatioReviewFloors": [
      1,
      1
    ]
  },
  "output": {
    "observedPillarWidthHeightRatios": [
      0.5,
      2
    ],
    "pillarRatioReviewIndices": [
      0
    ]
  }
}

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 Room and Pillar Width Calculator: A repeating-cell pitch minus room width gives an equivalent residual pillar width. For a complementary comparison, use Pillar Safety Factor Calculator: A strength-to-stress ratio compares independently established pillar strength with measured stress.

References

  1. Pillar Width to Height Ratio Calculator — tool.io

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