Description
Add neutralFraction × thickness to innerRadius and multiply by angleRadians for length.
A simple strain, compression, or neutral-axis formula models only part of a material's behavior. Geometry, loading, elasticity, and fatigue assumptions govern how the result can be used.
Add neutralFraction × thickness to innerRadius and multiply by angleRadians for length.
When to use this tool
Use Living Hinge Neutral Axis Length when you need one explicit deformation-model component.
How to use the tool and how it works
- Enter innerRadius, thickness, neutralFraction, angleRadians. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read length. Use the output convention below.
Add neutralFraction × thickness to innerRadius and multiply by angleRadians for length.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| innerRadius | Inner Radius | Required. Finite number; minimum 0. |
| thickness | Thickness | Required. Finite number; minimum 0. |
| neutralFraction | Neutral Fraction | Required. Finite number; minimum 0; maximum 1. |
| angleRadians | Angle Radians | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| length | Length, count, or code length under the stated domain and unit convention. | Required. Finite number. |
{
"input": {
"innerRadius": 2,
"thickness": 1,
"neutralFraction": 0.5,
"angleRadians": 3.141592653589793
},
"output": {
"length": 7.853981633974483
}
}Limitations and assumptions
- Neutral fraction is in [0, 1] and angle is radians; the supplied neutral-axis model does not predict strain, fatigue, or hinge service life.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- 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. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use validated material data and an appropriate mechanical analysis and test for safe design decisions.
References
Similar or alternative tools
- Industrial Design: Snap Fit Deflection Strain Explicit Geometry
Return 1.5 × cantileverThickness × tipDeflection / length² as maximumSurfaceStrain.
- Lid Hinge Sweep Tip Coordinate
Add radius × cosine and sine of angleRadians to hingeX and hingeY for the tip coordinate.