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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

NameTypeRequiredDescription
wedgeAnglenumberYes—
frictionCoeffnumberYes—
modeselectNo—
inputForcenumberNoOptional. If provided, the output force F_out = F_in × force ratio.
decimalPlacesnumberNo—

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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Response format

JSON result

JSON
{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}