Description
Supplied bench extension and normalized force, without a band resistance lookup.
Movement research distinguishes elapsed time, active time, cycle phase, measured force, and assessment-score conventions. Normalizing or remapping these quantities can help compare records when their units and definitions agree. A local arithmetic term does not by itself validate a functional assessment or an exercise program.
Supplied bench extension and normalized force, without a band resistance lookup.
When to use this tool
Use Physio Bench Elastic Band Stretch Ratio when you need this motion, timing, force, annotation, or score-mapping component for supplied research records.
How to use the tool and how it works
- Enter restLength, loadedLength, referenceLength, force. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read stretchRatio, engineeringStrain, forcePerReferenceLength. Use the output convention below.
Require positive restLength and referenceLength and nonnegative loadedLength. Return stretchRatio=loadedLength/restLength, engineeringStrain=(loadedLength-restLength)/restLength, and forcePerReferenceLength=force/referenceLength.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| restLength | Rest Length | Required. Finite number; strictly above 0. |
| loadedLength | Loaded Length | Required. Finite number; minimum 0. |
| referenceLength | Reference Length | Required. Finite number; strictly above 0. |
| force | Force in the chosen signed direction and unit. | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| stretchRatio | Stretch Ratio | Required. Finite number. |
| engineeringStrain | Engineering Strain | Required. Finite number. |
| forcePerReferenceLength | Force Per Reference Length | Required. Finite number. |
{
"input": {
"restLength": 50,
"loadedLength": 75,
"referenceLength": 10,
"force": 20
},
"output": {
"stretchRatio": 1.5,
"engineeringStrain": 0.5,
"forcePerReferenceLength": 2
}
}Limitations and assumptions
- Lengths need one unit, and force may be signed. No band force-extension curve, material limit, or safe exercise load is inferred from these normalized terms.
- 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 the intended assessment or motion-analysis protocol with verified timing, units, and event annotations. A complete interpretation needs the relevant measurement properties and task context beyond this local calculation.
References
Similar or alternative tools
- Physio Bench Preload Force Gap
Signed bench preload correction and supplied reference comparison.
- Task Rest Time Ratio
For nonnegative taskTime and positive restTime return ratio=taskTime/restTime.