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Math & Numbers

Safety Factor Calculator

Calculate the static safety factor n = σ_limit / σ_applied against yielding (σ_y) or ultimate tensile strength (σ_uts). Built-in typical strengths for carbon/alloy steel, aluminum, copper, austenitic stainless and titanium, plus a custom σ_limit option. Assessment: n<1 failure, 1≤n<1.5 marginal, n≥1.5 safe.

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/safety-factor-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"material":"carbonSteel","limitType":"yield","customLimit":0,"appliedStress":150,"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/safety-factor-calculator

Parameters

NameTypeRequiredDescription
materialselectNoMaterial preset supplies typical σ_y / σ_uts. Choose 'Custom' to enter σ_limit yourself.
limitTypeselectNoUse yield strength σ_y (ductile design, recommended) or ultimate tensile strength σ_uts.
customLimitnumberNoMaterial limit σ (MPa). Required only when Material is 'Custom'; otherwise derived from the preset.
appliedStressnumberYesActual working stress in the part, in MPa.
decimalPlacesnumber

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-safety-factor-calculator": {
      "name": "safety-factor-calculator",
      "description": "Calculate the static safety factor n = σ_limit / σ_applied against yielding (σ_y) or ultimate tensile strength (σ_uts). Built-in typical strengths for carbon/alloy steel, aluminum, copper, austenitic stainless and titanium, plus a custom σ_limit option. Assessment: n<1 failure, 1≤n<1.5 marginal, n≥1.5 safe.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=safety-factor-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": "safety-factor-calculator",
    "arguments": {
  "material": "carbonSteel",
  "limitType": "yield",
  "customLimit": 0,
  "appliedStress": 150,
  "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).
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Response format

JSON result

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

Questions or issues? Contact [email protected]