Quick Answer
Calculate Torsional Natural Frequency of Uniform Shaft with Two Rigid Disks
Calculator
Need Equipment or a Supplier for This Project?
Use your calculation result to continue with equipment selection, supplier discovery, engineering support, or project evaluation.
Find Engineering Solutions →Result Interpretation
Torsional Natural Frequency of Uniform Shaft with Two Rigid Disks calculator computes Torsional natural frequency in rad/s using the defined engineering formula and the input values provided. Torsional natural frequency is expressed in rad/s. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Shear modulus = 79300000000
- Polar moment of inertia of shaft cross-section = 1.5708E-8
- Length of shaft = 0.5
- Mass moment of inertia of each rigid disk about shaft axis = 0.002
Expected Result:
- Torsional natural frequency = 789.19085144216
Engineering Interpretation:
Under the given input conditions, the calculated result is: Torsional natural frequency = 789.19085144216 rad/s.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
torsional natural frequency = sqrt((shear modulus * polar moment of inertia of shaft cross-section / length of shaft) * (1 / (mass moment of inertia of each rigid disk about shaft axis * (1 + mass moment of inertia of each rigid disk about shaft axis / mass moment of inertia of each rigid disk about shaft axis))))Formula family: formula_vibration_torsional_natural_frequency_estimator_for_uniform_shaft_with_two_rigid_disks_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| G | Shear modulus | INPUT | Shear modulus |
| J | Polar moment of inertia of shaft cross-section | INPUT | Polar moment of inertia of shaft cross-section |
| L | Length of shaft | INPUT | Length of shaft |
| I_disk | Mass moment of inertia of each rigid disk about shaft axis | INPUT | Mass moment of inertia of each rigid disk about shaft axis |
| result | Torsional natural frequency | OUTPUT | Torsional natural frequency |
Calculation Steps
- Enter the shear modulus in Pa.
- Enter the polar moment of inertia of shaft cross-section in m^4.
- Enter the length of shaft in m.
- Enter the mass moment of inertia of each rigid disk about shaft axis in kg*m^2.
- Step 1: Compute torsional natural frequency.
- Read the torsional natural frequency (rad/s) from the results.
Engineering Summary
Calculate Torsional Natural Frequency of Uniform Shaft with Two Rigid Disks
Frequently Asked Questions
What does this calculator calculate?
The Torsional Natural Frequency of Uniform Shaft with Two Rigid Disks calculator estimates Torsional natural frequency based on the input parameters you provide
Why is shear modulus important in this calculation?
shear modulus is used directly in the calculation of torsional natural frequency. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter shear modulus 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 rad/s. 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 (Pa), Polar moment of inertia of shaft cross-section (m^4), Length of shaft (m), Mass moment of inertia of each rigid disk about shaft axis (kg*m^2). 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
Related Tools
SDOF Undamped Natural Frequency from Stiffness and Mass calculator
Torsional Natural Frequency and Critical Speed Estimator for Uniform Shaft with Two Rigid Disks Calculator
SDOF Isolation System Natural Frequency calculator
Torsional Critical Speed Separation Margin for Coupled Rotor-Bearing Systems calculator
Torsional Critical Speed Margin Ratio for Coupled Rotor-Bearing Systems Calculator
Vibration Resonant Mode Isolation Threshold Calculator
Browse More Tools
Explore the full index of engineering calculators on this vertical site.