Math & Numbers

Wedge Angle Force Calculator

Calculate the force-amplification ratio and self-locking condition of a wedge mechanism. Ideal M = 1/tan(α), with friction M = 1/tan(α+ρ) where ρ = arctan(μ). Self-locking when α ≤ ρ (i.e. tan(α) ≤ μ).

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/wedge-angle-force-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"wedgeAngle":10,"frictionCoeff":0.1,"mode":"ideal","inputForce":0,"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/wedge-angle-force-calculator

Parameters

Name	Type	Required	Description
wedgeAngle	number	Yes	—
frictionCoeff	number	Yes	—
mode	select	No	—
inputForce	number	No	Optional. If provided, the output force F_out = F_in × force ratio.
decimalPlaces	number	No	—

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-wedge-angle-force-calculator": {
      "name": "wedge-angle-force-calculator",
      "description": "Calculate the force-amplification ratio and self-locking condition of a wedge mechanism. Ideal M = 1/tan(α), with friction M = 1/tan(α+ρ) where ρ = arctan(μ). Self-locking when α ≤ ρ (i.e. tan(α) ≤ μ).",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=wedge-angle-force-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": "wedge-angle-force-calculator",
    "arguments": {
  "wedgeAngle": 10,
  "frictionCoeff": 0.1,
  "mode": "ideal",
  "inputForce": 0,
  "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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