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Math & Numbers

Stress & Strain Calculator

Calculate engineering stress σ = F/A and engineering strain ε = ΔL/L₀ under uniaxial load. Choose what to solve: for stress, enter force F (N) and cross-section area A (mm²) → result in MPa; for strain, enter original length L₀ and elongation ΔL (negative for compression) → dimensionless ratio. Units are self-consistent (N, mm) so stress comes out directly in MPa.

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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/stress-strain-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"solveFor":"stress","F":10000,"A":50,"L":0,"dL":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/stress-strain-calculator

Parameters

NameTypeRequiredDescription
solveForselectNo—
FnumberNoAxial force in newtons. Required when solving for stress. Positive = tension.
AnumberNoCross-section area perpendicular to the load, in mm². Required when solving for stress.
LnumberNoOriginal (unstressed) gauge length in mm. Required when solving for strain.
dLnumberNo

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-stress-strain-calculator": {
      "name": "stress-strain-calculator",
      "description": "Calculate engineering stress σ = F/A and engineering strain ε = ΔL/L₀ under uniaxial load. Choose what to solve: for stress, enter force F (N) and cross-section area A (mm²) → result in MPa; for strain, enter original length L₀ and elongation ΔL (negative for compression) → dimensionless ratio. Units are self-consistent (N, mm) so stress comes out directly in MPa.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=stress-strain-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": "stress-strain-calculator",
    "arguments": {
  "solveFor": "stress",
  "F": 10000,
  "A": 50,
  "L": 0,
  "dL": 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).
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Change in length in mm. Required when solving for strain. Positive = elongation, negative = compression.
decimalPlacesnumberNo—

Response format

JSON result

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

Questions or issues? Contact [email protected]