Math & Numbers

Spring Rate Calculator

Calculate the stiffness (spring rate) of a cylindrical helical compression/extension spring. k = G·d⁴ / (8·D³·n) in N/mm. Includes shear-modulus presets for common spring materials.

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/spring-rate-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"material":"music_wire","G":79000,"wireDiameter":2,"meanDiameter":16,"activeCoils":8,"decimalPlaces":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST https://api.elysiatools.com/en/api/tools/spring-rate-calculator

Parameters

Name	Type	Required	Description
material	select	No	—
G	number	Yes	Shear modulus of the spring material. Auto-filled by the material preset; override freely when set to Custom.
wireDiameter	number	Yes	—
meanDiameter	number	Yes	—
activeCoils	number	Yes	—

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-spring-rate-calculator": {
      "name": "spring-rate-calculator",
      "description": "Calculate the stiffness (spring rate) of a cylindrical helical compression/extension spring. k = G·d⁴ / (8·D³·n) in N/mm. Includes shear-modulus presets for common spring materials.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=spring-rate-calculator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "spring-rate-calculator",
    "arguments": {
  "material": "music_wire",
  "G": 79000,
  "wireDiameter": 2,
  "meanDiameter": 16,
  "activeCoils": 8,
  "decimalPlaces": 4
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

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