Springs in series/parallel API

Computes the equivalent stiffness of multiple springs combined in series (1/k=Σ1/kᵢ) or parallel (k=Σkᵢ). Answers 'What is the equivalent spring constant in series?', 'What is the combined stiffness of parallel springs?'.

Price$0.04per request

MethodPOST

Route/v1/engineering/spring-combination

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

engineeringmechanicsphysicsspringseriesparallelstiffnessequivalent-constant

API URLhttps://x402.hexl.dev/v1/engineering/spring-combination

Integration docs

Example request

{
  "springConstantsNm": [
    100,
    200,
    300
  ],
  "arrangement": "series"
}

Example response

{
  "arrangement": "series",
  "springConstantsNm": [
    100,
    200,
    300
  ],
  "count": 3,
  "equivalentConstantNm": 54.545455,
  "formula": "1/k_eq = Σ 1/k_i",
  "interpretation": "Series springs are softer than the softest spring."
}

Input schema

{
  "type": "object",
  "required": [
    "springConstantsNm"
  ],
  "properties": {
    "springConstantsNm": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "description": "list of spring constants (N/m), at least 2",
      "examples": [
        [
          100,
          200,
          300
        ]
      ]
    },
    "arrangement": {
      "type": "string",
      "enum": [
        "series",
        "parallel"
      ],
      "examples": [
        "series"
      ]
    }
  }
}

Output schema

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