Shell Membrane Stress Calculator
Ideal thin SPHERICAL shell membrane stresspr/(2t), independent t/r≤.1, not cylindrical hoop or a shell rating. Actual independently established compatible SI units/model context; conditional arithmetic, not code compliance, engineering design or safe operation approval.
Description
A thin spherical shell has a membrane-stress relation distinct from cylindrical hoop stress.
A thin spherical shell has a membrane-stress relation distinct from cylindrical hoop stress.1
This tool evaluates the spherical pressure-radius-thickness model within its stated thickness ratio.
When to use Shell Membrane Stress Calculator
Use this tool to evaluate the spherical pressure-radius-thickness model within its stated thickness ratio.
How to use Shell Membrane Stress Calculator and how it works
- Prepare actualInternalPressurePascals, actualSphereRadiusMeters, actualWallThicknessMeters, with the units, conventions and assumptions below.
- Enter the required fields and run Shell Membrane Stress Calculator.
- Read result.value using the output definitions below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualInternalPressurePascals | Actual Internal Pressure Pascals. Use the units and matching context stated in the calculation below. | number | Required; nonnegative; finite; other constraints below |
| actualSphereRadiusMeters | Actual Sphere Radius Meters. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| actualWallThicknessMeters | Actual Wall Thickness Meters. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
Supply nonnegative internal pressure and positive shell radius and thickness in consistent units. Require thickness/radius<=0.1 and return pressure*radius/(2*thickness). The 1/2 factor represents the thin spherical-shell membrane expression, not cylindrical hoop stress; units follow the pressure input.
membraneStress=pressure*radius/(2*thickness) Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Conditional thin-spherical-shell membrane stress in pascals. | number |
{
"input": {
"actualInternalPressurePascals": 1,
"actualSphereRadiusMeters": 1,
"actualWallThicknessMeters": 0.1
},
"output": {
"result": {
"value": 5
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Shell Buckling Critical Calculator for a complementary operation: Shell buckling depends on geometry, imperfections, load mode and boundary conditions.
Use Aluminum Column Allowable Calculator for a complementary operation: Aluminum column allowables depend on alloy, temper, slenderness and governing stress rules.
References
-
Shell Membrane Stress Calculator — tool.io
Similar or alternative tools
- Shell Buckling Critical Calculator
Shell buckling depends on geometry, imperfections, load mode and boundary conditions.
- Aluminum Column Allowable Calculator
Aluminum column allowables depend on alloy, temper, slenderness and governing stress rules.