Ramp Gradient

Calculate signed ramp grade, angle and slope distance; descending grades are preserved and no road acceptance criterion is embedded.

Description

Ramp gradient uses vertical rise divided by horizontal run.

Ramp gradient uses vertical rise divided by horizontal run. Slope distance and inclination follow from the same right-triangle geometry.

The tool returns signedGradientPercent (signed gradient percent); signedInclinationDegrees (signed inclination degrees); slopeDistanceM (slope distance m). Input measurements and model parameters are supplied by the caller; the tool computes the stated summary rather than acquiring those measurements.

When to use Ramp Gradient

Use Ramp Gradient when you already have riseM, horizontalRunM and want signedGradientPercent, signedInclinationDegrees, slopeDistanceM. This is useful for checking a supplied calculation, documenting a measurement convention, or comparing observations prepared on the same basis.

How to use Ramp Gradient and understand its results

Enter riseM, horizontalRunM using the field table below. Match the units, ordering and data boundaries described in the calculation.
Run the tool after checking the stated bounds and matching paired observations or categories. A malformed request gives a tool error rather than a usable measurement.
Read signedGradientPercent, signedInclinationDegrees, slopeDistanceM. Use the calculation and interpretation below to distinguish amounts, ratios, signs and decision flags where applicable.
Review the supplied parameters and assumptions before using the result in a report or comparing it with another observation.

Input field	Meaning	Value type and bounds	Requirement
riseM	Rise m	number	Required
horizontalRunM	Horizontal run m	number	Required

Require positive horizontal run and allow signed rise. Convert the angle to degrees and retain signs for gradient and angle.

gradient% = 100×rise/run; angle = atan2(rise,run); length = hypot(rise,run)

The symbols refer to the supplied quantities or generated values described above; unit conversions and comparison boundaries follow the stated implementation.

json

{
  "input": {
    "riseM": -10,
    "horizontalRunM": 100
  },
  "output": {
    "signedGradientPercent": -10,
    "signedInclinationDegrees": -5.710593137499643,
    "slopeDistanceM": 100.4987562112089
  }
}

Limitations and assumptions

This is geometric, without vehicle gradeability, braking, surface condition or haul-road design validation.

Numerical inputs must be finite. The tool checks its declared input shape and calculation constraints; those checks do not verify the quality, calibration or representativeness of the supplied observations.

Alternative or Complementary methods

Ramp Width: Sum caller vehicle/lane/clearance/drain/barrier allocations; does not replace site-specific passing-sight and road design. Pit Slope Angle: Calculate geometric overall pit slope across faces and interior berms; no rock-mass stability or geotechnical acceptance is inferred.

Methodological background: Design of Surface Mine Haulage Roads: A Manual.^[1]

References

Design of Surface Mine Haulage Roads: A Manual — U.S. Bureau of Mines, Information Circular 8758

Similar or alternative tools

Ramp Width
Sum caller vehicle/lane/clearance/drain/barrier allocations; does not replace site-specific passing-sight and road design.
Pit Slope Angle
Calculate geometric overall pit slope across faces and interior berms; no rock-mass stability or geotechnical acceptance is inferred.