Quick Answer
The calculate first critical speed of a simply supported rotating shaft computes n_crit from the input values you provide.
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Explore ToolFusionResult Interpretation
Calculate first critical speed of a simply supported rotating shaft computes n_crit in Hz using the defined engineering formula and the input values provided. n_crit is expressed in Hz. No universal acceptance threshold is defined by this calculator.
Worked Example
default_test
Given:
- a_sec = 10
- e_mod = 200
- i_sec = 50
- l_shaft = 1.5
- rho_mat = 7850
Expected Result:
- n_crit = 0.24917388900705
Engineering Interpretation:
Under the given input conditions, the calculated result is: n_crit = 0.24917388900705 Hz.
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
n_crit = 3.14159265358979 / (2 * pow(l_shaft, 2)) * sqrt(e_mod * i_sec / (rho_mat * a_sec))n_crit.
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| e_mod | e_mod | INPUT | e_mod |
| i_sec | i_sec | INPUT | i_sec |
| rho_mat | rho_mat | INPUT | rho_mat |
| a_sec | a_sec | INPUT | a_sec |
| l_shaft | l_shaft | INPUT | l_shaft |
| n_crit | n_crit | OUTPUT | n_crit |
Calculation Steps
- Enter the e_mod in GPa.
- Enter the i_sec in cm^4.
- Enter the rho_mat in kg/m^3.
- Enter the a_sec in cm^2.
- Enter the l_shaft in m.
- Read the n_crit (Hz) from the results.
Frequently Asked Questions
What does this calculator calculate?
The Calculate first critical speed of a simply supported rotating shaft estimates n_crit based on the input parameters you provide
Why is e_mod important in this calculation?
e_mod is used directly in the calculation of n_crit. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter e_mod in GPa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result n_crit?
The calculator outputs n_crit 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: e_mod (GPa), i_sec (cm^4), rho_mat (kg/m^3), a_sec (cm^2), l_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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