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Muscle Physiological Cross Section Force Term Tool

PCSA=volume/fiber length; apply pennation only once when projecting fiber force along the tendon.

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Description

Return muscle PCSA and ideal pennation-projected force.

Mechanical inertia, torque and muscle-force projections require compatible axes, origins and geometric assumptions. A parallel-axis contribution, planar moment or ideal pennation factor is one local model term rather than a full anatomical load or muscle-activation calculation.

Return muscle PCSA and ideal pennation-projected force.

When to use this tool

Use Muscle Physiological Cross Section Force Term when evaluating the stated segment, moment, inertia or ideal muscle-geometry term.

How to use the tool and how it works

  1. Enter volume, fiberLength, specificTension, pennationRadians. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read pcsa, fiberForce, tendonForce. Use the output convention below.

Return muscle PCSA and ideal pennation-projected force. Require volume/specificTension >= 0, fiberLength > 0 and pennation in [0,pi/2]; pcsa = volume/fiberLength, fiberForce = pcsa*tension, tendonForce = fiberForce*cos(angle).1

Input fieldMeaning and unitsAccepted input
volumeVolumeRequired. Finite number; minimum 0.
fiberLengthFiber LengthRequired. Finite number; strictly above 0.
specificTensionForce per PCSA area on compatible units.Required. Finite number; minimum 0.
pennationRadiansPennation Radians Unit: rad.Required. Finite number; minimum 0.
Output fieldInterpretationReturned shape
pcsaVolume/fiberLength under this convention, before pennation projection.Required. Finite number.
fiberForceFiber ForceRequired. Finite number.
tendonForceTendon ForceRequired. Finite number.
json
{
  "input": {
    "volume": 100,
    "fiberLength": 10,
    "specificTension": 3,
    "pennationRadians": 0
  },
  "output": {
    "pcsa": 10,
    "fiberForce": 30,
    "tendonForce": 30
  }
}

Limitations and assumptions

  • PCSA here excludes the projection factor; properties and uniform-fiber assumptions are supplied, without predicting actual activation or safe force.
  • 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 verified anatomy and calibration, a consistent coordinate frame and a complete appropriate mechanical model for actual loading or clinical interpretation.

References

  1. Calculation and input contract: biomechanics/muscle-physiological-cross-section-force-term — tool.io

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