Quick Answer
Calculate Drill String Torsional Vibration Critical Speed Calculator
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Find Engineering Solutions →Result Interpretation
Drill String Torsional Vibration Critical Speed Calculator computes Critical Torsional Speed in rad/s using the defined engineering formula and the input values provided. Critical Torsional Speed is expressed in rad/s. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Shear Modulus of Steel = 79300000000
- Total Polar Moment of Inertia = 1.256637E-5
- Total Mass Moment of Inertia = 125
- Effective Length = 150
Expected Result:
- Critical Torsional Speed = 1.1602752027645
Engineering Interpretation:
Under the given input conditions, the calculated result is: Critical Torsional Speed = 1.1602752027645 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
critical torsional speed = (1.0 / (2.0 * 3.14159265358979)) * sqrt((shear modulus of steel * total polar moment of inertia) / (total mass moment of inertia * effective length))Formula family: formula_drilling_drill_string_torsional_vibration_critical_speed_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| G_steel | Shear Modulus of Steel | INPUT | Shear Modulus of Steel |
| J_total | Total Polar Moment of Inertia | INPUT | Total Polar Moment of Inertia |
| I_total | Total Mass Moment of Inertia | INPUT | Total Mass Moment of Inertia |
| L_eff | Effective Length | INPUT | Effective Length |
| result | Critical Torsional Speed | OUTPUT | Critical Torsional Speed |
Calculation Steps
- Enter the shear modulus of steel in Pa.
- Enter the total polar moment of inertia in m^4.
- Enter the total mass moment of inertia in kg*m^2.
- Enter the effective length in m.
- Step 1: Compute critical torsional speed.
- Read the critical torsional speed (rad/s) from the results.
Engineering Summary
Calculate Drill String Torsional Vibration Critical Speed Calculator
Frequently Asked Questions
What does this calculator calculate?
The Drill String Torsional Vibration Critical Speed Calculator estimates Critical Torsional Speed based on the input parameters you provide
Why is shear modulus of steel important in this calculation?
shear modulus of steel is used directly in the calculation of critical torsional speed. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter shear modulus of steel in Pa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result critical torsional speed?
The calculator outputs critical torsional speed 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 of Steel (Pa), Total Polar Moment of Inertia (m^4), Total Mass Moment of Inertia (kg*m^2), Effective Length (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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