Clamped Bar Fundamental Calculator
RestrictedEuler–BernoulliuniformFIXED-FREEcantileverfundamental,β1≈1.8751040687,not both-endclamped/torsion/shortthickbar. Actual matched calibration,units,edition,geometry/measurement and model applicability independently established;not hearing/structural safety,compliance or universal perceptual prediction.
Description
A cantilever bar has one fixed end and one free end, unlike a bar clamped at both ends.
A cantilever bar has one fixed end and one free end, unlike a bar clamped at both ends.1
This calculator’s clamped-bar title refers to the fixed-free Euler–Bernoulli fundamental for a uniform slender bar.
When to use Clamped Bar Fundamental Calculator
Use this tool to apply the stated clamped bar fundamental calculator operation with an explicit input and unit basis.
How to use Clamped Bar Fundamental Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualUniformBarLengthMeters, callerFlexuralRigidity, actualMassPerUnitLength and run the tool.
- Read result.value using the output meanings below.
- If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualUniformBarLengthMeters | Uniform Bar Length Meters. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| callerFlexuralRigidity | Flexural Rigidity. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualMassPerUnitLength | Mass Per Unit Length. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require positive length in meters, flexural rigidity and mass per unit length in coherent SI units. Use β1=1.875104068711961 in β1²/(2πL²) sqrt(EI/m′); shear deformation, torsion and short thick bars are outside this branch.
f1 = 1.875104068711961²/(2πL²) × sqrt(flexuralRigidity/massPerLength) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Ideal frequency in Hz when all inputs use coherent SI units. | number |
{
"input": {
"actualUniformBarLengthMeters": 1,
"callerFlexuralRigidity": 1,
"actualMassPerUnitLength": 1
},
"output": {
"result": {
"value": 0.5595912099683765
}
}
}Limitations and assumptions
The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.
Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.
Alternative or Complementary methods
For a related operation, use Wall Coincidence Frequency Calculator. A thin plate’s critical coincidence frequency marks where bending-wave behavior interacts with sound radiation under an ideal model.
For a related operation, use Circular Membrane Fundamental Calculator. A tensioned circular membrane’s fundamental axisymmetric mode depends on radius, tension and areal mass.
References
-
Clamped Bar Fundamental Calculator — tool.io
Similar or alternative tools
- Wall Coincidence Frequency Calculator
A thin plate’s critical coincidence frequency marks where bending-wave behavior interacts with sound radiation under an ideal model.
- Circular Membrane Fundamental Calculator
A tensioned circular membrane’s fundamental axisymmetric mode depends on radius, tension and areal mass.