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Math & Numbers

Bending Stress Calculator

Calculate the maximum bending (flexural) stress σ_max = M·c/I = M/Z at the outermost fiber of a beam section. Supports solid circle, rectangle, hollow tube, and I-beam; computes I, section modulus Z, and distance c automatically. Stress 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/bending-stress-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"shape":"rectangle","M":5000000,"D":0,"b":50,"h":100,"Do":0,"Di":0,"B":0,"H":0,"tw":0,"tf":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/bending-stress-calculator

Parameters

NameTypeRequiredDescription
shapeselectNo—
MnumberYes—
DnumberNoRequired for Solid Circle.
bnumberNoSection width (horizontal). Required for Rectangle.
hnumberNoSection height (vertical). Required for Rectangle.
Do

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-bending-stress-calculator": {
      "name": "bending-stress-calculator",
      "description": "Calculate the maximum bending (flexural) stress σ_max = M·c/I = M/Z at the outermost fiber of a beam section. Supports solid circle, rectangle, hollow tube, and I-beam; computes I, section modulus Z, and distance c automatically. Stress in MPa.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=bending-stress-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": "bending-stress-calculator",
    "arguments": {
  "shape": "rectangle",
  "M": 5000000,
  "D": 0,
  "b": 50,
  "h": 100,
  "Do": 0,
  "Di": 0,
  "B": 0,
  "H": 0,
  "tw": 0,
  "tf": 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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© 2026 Elysia Tools. Developer documentation.

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number
No
Required for Hollow Circle.
DinumberNoRequired for Hollow Circle. Must be less than Do.
BnumberNoRequired for I-Beam.
HnumberNoRequired for I-Beam.
twnumberNoRequired for I-Beam.
tfnumberNoRequired for I-Beam.
decimalPlacesnumberNo—

Response format

JSON result

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

Questions or issues? Contact [email protected]