Structural Mechanics
Pressure Vessel Simulator
Examine tension profiles in thin-walled cylindrical vessels. Manipulate internal pressures, radius dimensions, and shell thickness presets to ensure hoop stresses remain within safety parameters.
Design model
Thin-walled Cyl
Analytical formulation
Stress ratio
2.00
Hoop / Long
Output Mode
CSV
Export ready
Parameters
Shell Material
Animated pressure sweep
Structural Analytics Model
Hoop (σh)
σh = (p * r) / t
Longitudinal (σl)
σl = (p * r) / (2 * t)
Factor of Safety
FoS = S_yield / σh
Thin-walled criteria (t/r <= 0.1): VALID (t/r = 0.025)
Maximum tensile stress is Hoop Stress (σh = 480.0 MPa).
Under pressure, the material yields when σh exceeds yield strength S_yield (250 MPa for Steel).
Vessel Stress Cross-Section
Hoop Stress (σh)
480.0MPa
Longitudinal Stress (σl)
240.0MPa
Safety Factor
0.52
t / r Ratio
0.025
Stress Profile over Pressures
Stress Data Matrix
| Pressure (MPa) | Hoop (MPa) | Longitudinal (MPa) | Factor of Safety |
|---|---|---|---|
| 5.0 | 200.0 | 100.0 | 1.25 |
| 10.0 | 400.0 | 200.0 | 0.63 |
| 15.0 | 600.0 | 300.0 | 0.42 |
| 20.0 | 800.0 | 400.0 | 0.31 |
| 25.0 | 1000.0 | 500.0 | 0.25 |
| 30.0 | 1200.0 | 600.0 | 0.21 |
| 35.0 | 1400.0 | 700.0 | 0.18 |
| 40.0 | 1600.0 | 800.0 | 0.16 |
| 45.0 | 1800.0 | 900.0 | 0.14 |
| 50.0 | 2000.0 | 1000.0 | 0.13 |
| 55.0 | 2200.0 | 1100.0 | 0.11 |
| 60.0 | 2400.0 | 1200.0 | 0.10 |
| 65.0 | 2600.0 | 1300.0 | 0.10 |
| 70.0 | 2800.0 | 1400.0 | 0.09 |
| 75.0 | 3000.0 | 1500.0 | 0.08 |
| 80.0 | 3200.0 | 1600.0 | 0.08 |
| 85.0 | 3400.0 | 1700.0 | 0.07 |
| 90.0 | 3600.0 | 1800.0 | 0.07 |
| 95.0 | 3800.0 | 1900.0 | 0.07 |
| 100.0 | 4000.0 | 2000.0 | 0.06 |