Plumbing Sewer Slope Calculator

Audit actual station/invert sewer profile with signed downstream slopes and caller criterion; not generic two-point slope, self-cleansing guarantee, datum transformation or geodesy.

Description

Downstream sewer slope is the fall in invert elevation divided by station distance.

Downstream sewer slope is the fall in invert elevation divided by station distance. A rise produces a negative slope.1

The returned values include Signed observed sewer slopes, Segments below caller slope. The How section below explains the calculation, input rules and interpretation.

When to use Plumbing Sewer Slope Calculator

Use Plumbing Sewer Slope Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No datum transformation, self-cleansing guarantee or profile surveying is supplied.

Prepare measured flows, pressures, temperatures or inventories with consistent units. For catalog tools, use independently verified capacities at the stated operating conditions and supply the explicit design demand.

How to use Plumbing Sewer Slope Calculator and understand its results

  1. Prepare measured flows, pressures, temperatures or inventories with consistent units. For catalog tools, use independently verified capacities at the stated operating conditions and supply the explicit design demand.
  2. Enter observedSewerStationDistancesM, observedInvertElevationsM, callerMinimumDownstreamSlope using the field table and calculation rules, then run the tool.
  3. Read signedObservedSewerSlopes, segmentsBelowCallerSlope. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
observedSewerStationDistancesMObserved sewer station distances mlist of numberRequired
observedInvertElevationsMObserved invert elevations mlist of numberRequired
callerMinimumDownstreamSlopeCaller minimum downstream slopenumberRequired

Enter aligned finite station and invert lists with at least two strictly increasing stations, plus a nonnegative minimum slope. Return signed slopes and zero-based segment indexes strictly below the minimum.

slope_i=(invert_i−invert_next)/(station_next−station_i)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
signedObservedSewerSlopesSigned observed sewer slopeslist of number
segmentsBelowCallerSlopeSegments below caller slopelist of number
json
{
  "input": {
    "observedSewerStationDistancesM": [
      0,
      10,
      30
    ],
    "observedInvertElevationsM": [
      5,
      4.9,
      4.5
    ],
    "callerMinimumDownstreamSlope": 0.015
  },
  "output": {
    "signedObservedSewerSlopes": [
      0.009999999999999964,
      0.020000000000000018
    ],
    "segmentsBelowCallerSlope": [
      0
    ]
  }
}

Limitations and assumptions

No datum transformation, self-cleansing guarantee or profile surveying is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Plumbing Sewer Velocity At Full Flow Calculator: The SI Manning equation estimates gravity-driven full circular-pipe velocity using hydraulic radius D/4. This assumption differs from pressurized flow. For a complementary task, use Plumbing Trap Arm Length Calculator: A trap-arm catalog can provide separate limits for developed length and fall. Checking both dimensions preserves the limiting margin.

References

  1. Plumbing Sewer Slope Calculator — tool.io

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