Beam deflection calculator API

Compute maximum beam deflection for a cantilever with end load (δ = F·L³/3EI) or simply-supported beam with center load (δ = F·L³/48EI). Answers 'deflection of a cantilever under 1kN','how much does this beam sag','max deflection for these section properties'.

Price$0.01per request

MethodPOST

Route/v1/calc/eng-beam-deflection

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calcengineeringstructuralbeamdeflectioncantilevercivilstiffness

API URLhttps://x402.hexl.dev/v1/calc/eng-beam-deflection

Integration docs

Example request

{
  "type": "cantilever-end-load",
  "forceN": 1000,
  "lengthM": 2,
  "elasticModulusPa": 200000000000,
  "momentInertiaM4": 0.000008
}

Example response

{
  "type": "cantilever-end-load",
  "forceN": 1000,
  "lengthM": 2,
  "elasticModulusPa": 200000000000,
  "momentInertiaM4": 0.000008,
  "deflectionM": 0.000001667,
  "deflectionMm": 1.666667,
  "formula": "δ = F*L^3 / (3*E*I)"
}

Input schema

{
  "type": "object",
  "required": [
    "forceN",
    "lengthM",
    "elasticModulusPa",
    "momentInertiaM4"
  ],
  "properties": {
    "type": {
      "type": "string",
      "enum": [
        "cantilever-end-load",
        "simply-supported-center-load"
      ],
      "default": "cantilever-end-load"
    },
    "forceN": {
      "type": "number",
      "description": "load (N)",
      "examples": [
        1000
      ]
    },
    "lengthM": {
      "type": "number",
      "description": "span/length (m)",
      "examples": [
        2
      ]
    },
    "elasticModulusPa": {
      "type": "number",
      "description": "Young's modulus E (Pa)",
      "examples": [
        200000000000
      ]
    },
    "momentInertiaM4": {
      "type": "number",
      "description": "second moment of area I (m⁴)",
      "examples": [
        0.000008
      ]
    }
  }
}

Output schema

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