Cold-Formed Effective Width Calculator

Named Winter effective-width reductionρ=1 forλ≤.673 else(1−.22/λ)/λ, independently verified uniform-compression plate branch; not all cold-formed code rules. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

Effective plate width reduces a slender plate's modeled contribution.

Effective plate width reduces a slender plate's modeled contribution.1

The supplied nondimensional slenderness must match the adopted Winter-type relation. Use Cold-Formed Effective Width Calculator to evaluate the supplied inputs under the specific model below.

When to use Cold-Formed Effective Width Calculator

Use Cold-Formed Effective Width Calculator to evaluate the supplied inputs under the specific model below. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.

How to use Cold-Formed Effective Width Calculator and understand its results

  1. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
  2. Enter Caller plate nondimensional slenderness, Gross plate widths m using the field table and validation rules below, then run the tool.
  3. Read Winter effective plate widths m and interpret units, signs, ordering and placeholders as explained below.
  4. If the tool reports an input error, correct that field and rerun. A successful false result, empty match list or unknown-evidence placeholder has the specific meaning described here; check the limitations before applying the result.
Input fieldMeaningValue typeRequirement
callerPlateNondimensionalSlendernessCaller plate nondimensional slendernessarray of numberRequired; constraints below
grossPlateWidthsMGross plate widths marray of numberRequired; constraints below

Enter aligned nonempty positive nondimensional slendernesses λ and gross widths in m. Width is unchanged at λ≤0.673; above that boundary apply (1−0.22/λ)/λ. The output preserves plate order and relies on the caller's definition of slenderness and applicable effective-width model.

effectiveWidth = grossWidth×[1 if λ≤0.673, otherwise (1−0.22/λ)/λ]

Field order, units and branch conditions follow the implementation explanation above.

Output fieldMeaningValue type
winterEffectivePlateWidthsMWinter effective plate widths marray of number
json
{
  "input": {
    "callerPlateNondimensionalSlenderness": [
      0.5,
      1,
      2
    ],
    "grossPlateWidthsM": [
      1,
      1,
      1
    ]
  },
  "output": {
    "winterEffectivePlateWidthsM": [
      1,
      0.78,
      0.445
    ]
  }
}

Limitations and assumptions

The supplied nondimensional slenderness must match the adopted Winter-type relation. Apply the exact scope and assumptions described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are stated above; extremely large inputs or outputs can also be rejected. These errors differ from successful results such as false, no matches or unknown evidence.

Alternative or Complementary methods

Use RC Crack Width Calculator for a related task: A crack-width model multiplies crack spacing by a relative strain measure.

Use Composite Beam Neutral Axis Calculator for a related task: A composite neutral axis weights layer positions by axial stiffness.

References

  1. Cold-Formed Effective Width Calculator — tool.io

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