Description
Neutral axis at the center of round wire, neglecting deformation shifts.
Studio measurements translate a design into lengths, areas, volumes, angles, proportions, and material quantities. Consistent units and an explicit geometric model make the calculation interpretable. Real materials, fabrication allowances, visual judgments, and installation conditions require information beyond a geometric term.
Neutral axis at the center of round wire, neglecting deformation shifts.
When to use this tool
Use Sculpture Armature Wire Bend Allowance when you need a geometric or material-budget term for a supplied studio design before checking real material and installation conditions.
How to use the tool and how it works
- Enter innerRadius, wireDiameter, bendRadians. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read neutralRadius, bendLength. Use the output convention below.
Calculate neutralRadius=innerRadius+wireDiameter/2 and bendLength=neutralRadius*bendRadians. Require all three inputs nonnegative.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| innerRadius | Inner Radius | Required. Finite number; minimum 0. |
| wireDiameter | Wire Diameter | Required. Finite number; minimum 0. |
| bendRadians | Nonnegative bend angle in radians. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| neutralRadius | Neutral Radius | Required. Finite number. |
| bendLength | Bend Length | Required. Finite number. |
{
"input": {
"innerRadius": 2,
"wireDiameter": 1,
"bendRadians": 3.141592653589793
},
"output": {
"neutralRadius": 2.5,
"bendLength": 7.853981633974483
}
}Limitations and assumptions
- BendRadians is in radians and bend length uses the common radius/diameter unit. The neutral line is assumed at half the wire diameter; springback, strain, strength, and safe forming conditions are not determined.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use measured material allowances and a complete drawing or fabrication model when physical behavior matters. The supplied geometric term can be one input to that separate process.
References
Similar or alternative tools
- Sculpture Hollow Cast Wall Volume
Closed rectangular shell with uniform inward wall thickness.
- Sculpture Plinth Center Height Gap
Calculate centerHeight=plinthHeight+sculptureHeight*centerFraction and eyeGap=centerHeight-referenceEyeHeight.