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-calculatorParameters
| 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]