Quick Answer
Calculate Donnell–Mushtari Cylindrical Shell Axial Buckling Stress (Elastic, Simply Supported)
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Find Engineering Solutions →Result Interpretation
Donnell–Mushtari Cylindrical Shell Axial Buckling Stress (Elastic, Simply Supported) calculator computes Elastic critical buckling stress in Pa using the defined engineering formula and the input values provided. Elastic critical buckling stress is expressed in Pa. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Young's modulus = 70000000000
- Wall thickness = 0.002
- Mean radius = 1.5
- Poisson's ratio = 0.33
Expected Result:
- Elastic critical buckling stress = 2184229.6478438
Engineering Interpretation:
Under the given input conditions, the calculated result is: Elastic critical buckling stress = 2184229.6478438 Pa.
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
elastic critical buckling stress = (0.605 * young's modulus * pow(wall thickness / mean radius, 1.5)) / sqrt(1 - pow(poisson's ratio, 2))Formula family: formula_aerospace_buckling_stress_calculator_curved_panel_axial_compression
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| E | Young's modulus | INPUT | Young's modulus |
| t | Wall thickness | INPUT | Wall thickness |
| R | Mean radius | INPUT | Mean radius |
| nu | Poisson's ratio | INPUT | Poisson's ratio |
| result | Elastic critical buckling stress | OUTPUT | Elastic critical buckling stress |
Calculation Steps
- Enter the young's modulus in Pa.
- Enter the wall thickness in m.
- Enter the mean radius in m.
- Enter the poisson's ratio in 1.
- Step 1: Compute elastic critical buckling stress.
- Read the elastic critical buckling stress (Pa) from the results.
Engineering Summary
Calculate Donnell–Mushtari Cylindrical Shell Axial Buckling Stress (Elastic, Simply Supported)
Frequently Asked Questions
What does this calculator calculate?
The Donnell–Mushtari Cylindrical Shell Axial Buckling Stress (Elastic, Simply Supported) calculator estimates Elastic critical buckling stress based on the input parameters you provide
Why is young's modulus important in this calculation?
young's modulus is directly proportional to elastic critical buckling stress. When you enter young's modulus in Pa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result elastic critical buckling stress?
The calculator outputs elastic critical buckling stress in Pa. For higher pressures, divide by 1000 to express in kPa, or by 101325 for atmospheres. 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: Young's modulus (Pa), Wall thickness (m), Mean radius (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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