Rock Support Pressure Calculator

Audit actual support contact load/area versus independent pressure-demand evidence, not prescribed ground-reaction pressure or support adequacy. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

Contact force divided by contact area describes observed support pressure.

Contact force divided by contact area describes observed support pressure.1

A signed margin compares it with an independently established demand.

When to use Rock Support Pressure 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 Rock Support Pressure 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 observedSupportContactForcesKn, observedSupportContactAreasM2, callerIndependentRequiredPressuresKpa, using the field meanings and rules below, then run the tool.
  3. Read observedSupportPressuresKpa, signedPressureMarginsKpa. 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
observedSupportContactForcesKnObserved support contact forces knlist of numberRequired
observedSupportContactAreasM2Observed support contact areas m2list of numberRequired
callerIndependentRequiredPressuresKpaCaller independent required pressures kpalist of numberRequired

Use aligned contact forces≥0 kN, areas>0 m² and demand≥0 kPa. Compute force/area in kPa and observed pressure minus demand. Negative margins remain visible.

pressure_i=forceKn_i/areaM2_i; margin_i=pressure_i−demand_i

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

Output fieldMeaningValue type
observedSupportPressuresKpaObserved support pressures kpalist of number
signedPressureMarginsKpaSigned pressure margins kpa; preserve the subtraction order and sign defined in the mechanicslist of number
json
{
  "input": {
    "observedSupportContactForcesKn": [
      10,
      20
    ],
    "observedSupportContactAreasM2": [
      1,
      2
    ],
    "callerIndependentRequiredPressuresKpa": [
      8,
      12
    ]
  },
  "output": {
    "observedSupportPressuresKpa": [
      10,
      10
    ],
    "signedPressureMarginsKpa": [
      2,
      -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 Steel Set Support Capacity Calculator: Installed steel-set loads and matched certified capacities describe a particular support inventory. For a complementary comparison, use Pillar Safety Factor Calculator: A strength-to-stress ratio compares independently established pillar strength with measured stress.

References

  1. Rock Support Pressure Calculator — tool.io

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