Mean Ceramic Wall Thickness

Summarize ceramic wall measurements weighted by represented profile length, retaining sampled minimum/maximum rather than assuming uniform thickness.

Description

Ceramic wall thickness can vary along a vessel profile.

Ceramic wall thickness can vary along a vessel profile. Weighting measurements by represented profile length summarizes this variation without assigning equal influence to unequally sampled segments.^[1]

Summarize ceramic wall measurements weighted by represented profile length, retaining sampled minimum/maximum rather than assuming uniform thickness.

When to use Mean Ceramic Wall Thickness

Use this tool to summarize ceramic wall measurements weighted by represented profile length, retaining sampled minimum/maximum rather than assuming uniform thickness.

Prepare the artifact, site or survey measurements and any independently established calibration or model choices. Keep paired observations aligned and confirm units and coordinate conventions.

How to use Mean Ceramic Wall Thickness and understand its results

Prepare the artifact, site or survey measurements and any independently established calibration or model choices. Keep paired observations aligned and confirm units and coordinate conventions.
Enter ceramicWallThicknessesMm, representedProfileLengthsMm using the field table and calculation rules, then run the tool.
Read profileWeightedWallThicknessMm, minimumMeasuredWallThicknessMm, maximumMeasuredWallThicknessMm. The explanation below defines the units, signs, ordering and any flags or placeholder values.
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 field	Meaning	Value type; see rules below	Requirement
ceramicWallThicknessesMm	Ceramic wall thicknesses mm	list of number	Required
representedProfileLengthsMm	Represented profile lengths mm	list of number	Required

Pair nonempty positive wall thicknesses and represented profile lengths in mm. Return the length-weighted mean and the minimum and maximum measured thicknesses. The extrema describe supplied samples rather than interpolated full-vessel thickness.

Paired lists must be nonempty and have equal lengths.

weighted thickness = Σ(thickness_i length_i)/Σlength_i

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

Output field	Meaning	Value type
profileWeightedWallThicknessMm	Profile weighted wall thickness mm	number
minimumMeasuredWallThicknessMm	Minimum measured wall thickness mm	number
maximumMeasuredWallThicknessMm	Maximum measured wall thickness mm	number

json

{
  "input": {
    "ceramicWallThicknessesMm": [
      2,
      4,
      6
    ],
    "representedProfileLengthsMm": [
      1,
      2,
      1
    ]
  },
  "output": {
    "profileWeightedWallThicknessMm": 4,
    "minimumMeasuredWallThicknessMm": 2,
    "maximumMeasuredWallThicknessMm": 6
  }
}

Limitations and assumptions

Sampling locations and represented lengths are caller observations. The tool does not reconstruct the wall profile or infer manufacturing technique, vessel strength or chronological type.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Vessel Volume From Rim Diameter: Reconstruct piecewise conical-frustum interior volume from a supplied normalized vessel profile scaled by measured interior rim diameter; no universal rim-only vessel shape assumed. For a complementary task, use Orifice Index Vessel: Compute area-equivalent elliptical vessel mouth and per-vessel orifice/body index, not a fixed circular diameter ratio or functional classification.

References

Mean Ceramic Wall Thickness — tool.io

Similar or alternative tools

Vessel Volume From Rim Diameter
Reconstruct piecewise conical-frustum interior volume from a supplied normalized vessel profile scaled by measured interior rim diameter; no universal rim-only vessel shape assumed.
Orifice Index Vessel
Compute area-equivalent elliptical vessel mouth and per-vessel orifice/body index, not a fixed circular diameter ratio or functional classification.