Description
Concentric hollow rectangular bench section area and centroidal second moments, without a bone or implant geometry fit.
Orthopedic bench and imaging records combine force, displacement, geometric dimensions, coordinate frames, weights, and reference measurements. An ideal material term or dimensional margin depends on its model and units. It does not by itself establish implant compatibility, tissue behavior, or safe clinical loading.
Concentric hollow rectangular bench section area and centroidal second moments, without a bone or implant geometry fit.
When to use this tool
Use Orthopedic Sample Cross Section Inertia Term when you need this bench, geometry, reference, score-denominator, or measurement term from supplied data.
How to use the tool and how it works
- Enter outerWidth, outerHeight, innerWidth, innerHeight. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read area, inertiaX, inertiaY. Use the output convention below.
Require nonnegative outer and inner rectangle dimensions with innerWidth<=outerWidth and innerHeight<=outerHeight. Return area=outerWidth*outerHeight-innerWidth*innerHeight and centroidal inertiaX and inertiaY by subtracting the corresponding rectangle terms b*h^3/12.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| outerWidth | Outer Width | Required. Finite number; minimum 0. |
| outerHeight | Outer Height | Required. Finite number; minimum 0. |
| innerWidth | Inner Width | Required. Finite number; minimum 0. |
| innerHeight | Inner Height | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| area | Area in compatible squared-length units. | Required. Finite number. |
| inertiaX | Centroidal second area moment about the width-parallel axis; length^4. | Required. Finite number. |
| inertiaY | Inertia Y | Required. Finite number. |
{
"input": {
"outerWidth": 4,
"outerHeight": 6,
"innerWidth": 2,
"innerHeight": 4
},
"output": {
"area": 16,
"inertiaX": 61.333333333333336,
"inertiaY": 29.333333333333332
}
}Limitations and assumptions
- All dimensions need one length unit; area uses length squared and second moments length to the fourth. The inner void is assumed concentric and axis-aligned, without material stiffness, strength, loading, or implant validation.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Use a complete material, imaging, or assessment model for the intended question. Verify measurement units, calibration, load conditions, geometry, missingness, and reference assumptions before combining terms.
References
Similar or alternative tools
- Bone Phantom Bending Stress Term
Ideal central three-point bending of a rectangular phantom beam, not a bone strength or implant safety assessment.
- Bone Model Porosity Density Factor
Dry two-phase model porosity and partial pore-fluid fill, without inferring clinical bone quality.