Beam bending (flexural) stress API

Computes flexural stress σ=M·c/I=M/S from a bending moment plus either I & c or the section modulus, with optional factor of safety, moment capacity, and pass/fail against an allowable stress. Answers 'What is the bending stress in a beam?', 'Is my beam within the allowable stress?'.

Price$0.04per request

MethodPOST

Route/v1/engineering/bending-stress

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

engineeringmechanicsbending-stressflexural-stressbeamsection-modulusstructuralstress

API URLhttps://x402.hexl.dev/v1/engineering/bending-stress

Integration docs

Example request

{
  "momentNm": 5000,
  "momentOfInertiaM4": 0.0000085,
  "distanceToFiberM": 0.1,
  "allowableStressPa": 250000000
}

Example response

{
  "momentNm": 5000,
  "sectionModulusM3": 0.000085,
  "bendingStressPa": 58823529.411765,
  "bendingStressMPa": 58.823529,
  "basis": "I/c",
  "formula": "σ = M*c/I = M/S",
  "allowableStressPa": 250000000,
  "factorOfSafety": 4.25,
  "momentCapacityNm": 21250,
  "withinAllowable": true
}

Input schema

{
  "type": "object",
  "required": [
    "momentNm"
  ],
  "properties": {
    "momentNm": {
      "type": "number",
      "description": "bending moment (N·m)",
      "examples": [
        5000
      ]
    },
    "momentOfInertiaM4": {
      "type": "number",
      "description": "second moment of area (m^4)"
    },
    "distanceToFiberM": {
      "type": "number",
      "description": "distance from neutral axis to extreme fiber c (m)"
    },
    "sectionModulusM3": {
      "type": "number",
      "description": "section modulus S (m^3); supply instead of I & c"
    },
    "allowableStressPa": {
      "type": "number",
      "description": "optional allowable stress (Pa) for FoS check"
    }
  }
}

Output schema

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