Spherical vessel stress API

Computes the equal membrane stress of a thin-walled sphere (half a cylinder's hoop for the same D,t) and the required wall thickness for an allowable stress. Answers 'What is the wall stress in my spherical tank?', 'How thin can a sphere be vs a cylinder?'.

Price$0.04per request

MethodPOST

Route/v1/engineering/sphere-vessel

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

pressure-vesselspheremembrane-stressthin-wallwall-thicknesstanksphericalmachine-design

API URLhttps://x402.hexl.dev/v1/engineering/sphere-vessel

Integration docs

Example request

{
  "internalPressureMpa": 2,
  "innerDiameterM": 1,
  "wallThicknessM": 0.01,
  "allowableStressMpa": 150
}

Example response

{
  "membraneStressMpa": 50,
  "diameterToThicknessRatio": 100,
  "thinWallValid": true,
  "formula": "σ = p·D/(4t)",
  "interpretation": "A sphere carries half the membrane stress of a cylinder of the same diameter — minimum wall for a given pressure.",
  "requiredWallThicknessM": 0.00333333,
  "factorOfSafety": 3
}

Input schema

{
  "type": "object",
  "required": [
    "internalPressureMpa",
    "innerDiameterM",
    "wallThicknessM"
  ],
  "properties": {
    "internalPressureMpa": {
      "type": "number",
      "examples": [
        2
      ]
    },
    "innerDiameterM": {
      "type": "number",
      "examples": [
        1
      ]
    },
    "wallThicknessM": {
      "type": "number",
      "examples": [
        0.01
      ]
    },
    "allowableStressMpa": {
      "type": "number",
      "examples": [
        150
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}