Haul Road Grade Calculator

Audit full actual road level profile/grade segments under independent review criterion, signed down grades retained; not scalar ramp angle/run or safe travel assessment. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

Road grade is the signed elevation change divided by station distance.

Road grade is the signed elevation change divided by station distance.1

A profile can include ascending and descending segments with different review status.

When to use Haul Road Grade 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 Haul Road Grade 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 observedRoadStationM, observedRoadLevelsM, callerMaximumAbsoluteGradeFraction, using the field meanings and rules below, then run the tool.
  3. Read signedObservedRoadGrades, roadGradeReviewSegments. 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
observedRoadStationMObserved road station mlist of numberRequired
observedRoadLevelsMObserved road levels mlist of numberRequired
callerMaximumAbsoluteGradeFractionCaller maximum absolute grade fractionnumberRequired

Use at least two aligned finite stations and levels, stations strictly increasing, and a nonnegative absolute-grade criterion. Return adjacent secant grades and segment indices strictly exceeding the criterion in magnitude. Equality is not flagged.

grade_i=Δlevel_i/Δstation_i; review={i:|grade_i|>criterion}

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

Output fieldMeaningValue type
signedObservedRoadGradesSigned observed road grades; preserve the subtraction order and sign defined in the mechanicslist of number
roadGradeReviewSegmentsRoad grade review segments; zero-based positions in the relevant supplied record or adjacent-pair listlist of number
json
{
  "input": {
    "observedRoadStationM": [
      0,
      10,
      30
    ],
    "observedRoadLevelsM": [
      0,
      1,
      0
    ],
    "callerMaximumAbsoluteGradeFraction": 0.08
  },
  "output": {
    "signedObservedRoadGrades": [
      0.1,
      -0.05
    ],
    "roadGradeReviewSegments": [
      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 Haul Road Rolling Resistance Calculator: A steady towing force includes grade and drag contributions alongside rolling resistance. For a complementary comparison, use Ore Body Dip Calculator: A down-dip section can be summarized by a fitted signed contact slope.

References

  1. Haul Road Grade Calculator — tool.io

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