Quick Answer
Calculate Naval Propulsion Shafting Torsional Natural Frequency (First Mode)
Calculator
Result Interpretation
Naval Propulsion Shafting Torsional Natural Frequency (First Mode) Calculator computes Torsional natural frequency in Hz using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Shear modulus of shaft material = 79300000000
- Effective torsional length of shaft = 15.8
- Total polar mass moment of inertia of rotating masses = 1250
- Polar moment of inertia of equivalent shaft = 0.0001256637
Expected Result:
- Torsional natural frequency = 3.5750168798621
Engineering Interpretation:
Under the given input conditions, the calculated result is: Torsional natural frequency = 3.5750168798621 Hz.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
torsional natural frequency = (1 / (2 * 3.14159265358979)) * sqrt((shear modulus of shaft material * polar moment of inertia of equivalent shaft) / (total polar mass moment of inertia of rotating masses * effective torsional length of shaft))Formula family: formula_naval_propulsion_shafting_torsional_vibration_natural_frequency_checker
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| G | Shear modulus of shaft material | INPUT | Shear modulus of shaft material |
| J_total | Polar moment of inertia of equivalent shaft | INPUT | Polar moment of inertia of equivalent shaft |
| I_total | Total polar mass moment of inertia of rotating masses | INPUT | Total polar mass moment of inertia of rotating masses |
| L_eff | Effective torsional length of shaft | INPUT | Effective torsional length of shaft |
| result | Torsional natural frequency | OUTPUT | Torsional natural frequency |
Calculation Steps
- Enter the shear modulus of shaft material in Pa.
- Enter the polar moment of inertia of equivalent shaft in m^4.
- Enter the total polar mass moment of inertia of rotating masses in kg*m^2.
- Enter the effective torsional length of shaft in m.
- Step 1: Compute torsional natural frequency.
- Read the torsional natural frequency (Hz) from the results.
Engineering Summary
Calculate Naval Propulsion Shafting Torsional Natural Frequency (First Mode)
Frequently Asked Questions
What does this calculator calculate?
The Naval Propulsion Shafting Torsional Natural Frequency (First Mode) Calculator estimates Torsional natural frequency based on the input parameters you provide
Why is shear modulus of shaft material important in this calculation?
shear modulus of shaft material is directly proportional to torsional natural frequency. When you enter shear modulus of shaft material in Pa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result torsional natural frequency?
The calculator outputs torsional natural frequency in Hz. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Shear modulus of shaft material (Pa), Polar moment of inertia of equivalent shaft (m^4), Total polar mass moment of inertia of rotating masses (kg*m^2), Effective torsional length of shaft (m). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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