Math & Numbers

Young's Modulus Calculator

Solve Young's modulus (modulus of elasticity) in the linear-elastic region using E = σ/ε (Hooke's law). Three directions: modulus E = σ/ε, stress σ = E·ε, strain ε = σ/E. Pick the unknown, supply the other two positive values. Result in MPa with a GPa reading (e.g. steel ≈ 200 000 MPa).

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/youngs-modulus-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"solveFor":"modulus","E":0,"stress":200,"strain":0.001,"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/youngs-modulus-calculator

Parameters

Name	Type	Required	Description
solveFor	select	No	—
E	number	No	Young's modulus in MPa. Required when solving for stress or strain. Typical: steel ≈ 200000–210000, aluminum ≈ 70000.
stress	number	No	Normal stress in MPa. Required when solving for modulus or strain.
strain	number	No	Dimensionless strain (ΔL/L₀). Required when solving for modulus or stress. Typically very small (1e-4 – 1e-3).
decimalPlaces	number

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-youngs-modulus-calculator": {
      "name": "youngs-modulus-calculator",
      "description": "Solve Young's modulus (modulus of elasticity) in the linear-elastic region using E = σ/ε (Hooke's law). Three directions: modulus E = σ/ε, stress σ = E·ε, strain ε = σ/E. Pick the unknown, supply the other two positive values. Result in MPa with a GPa reading (e.g. steel ≈ 200 000 MPa).",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=youngs-modulus-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": "youngs-modulus-calculator",
    "arguments": {
  "solveFor": "modulus",
  "E": 0,
  "stress": 200,
  "strain": 0.001,
  "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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