Math & Numbers

Beam Deflection Calculator

Look up and compute the maximum deflection for four classic beam cases: cantilever with end point load (δ=PL³/3EI), cantilever with UDL (δ=qL⁴/8EI), simply supported with mid-span point load (δ=PL³/48EI), and simply supported with UDL (δ=5qL⁴/384EI).

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/deflection-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"supportCase":"simplySupportedUDL","P":0,"q":10,"L":4000,"E":210000,"I":83600000,"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/deflection-calculator

Parameters

Name	Type	Required	Description
supportCase	select	No	—
P	number	No	Required for point-load cases.
q	number	No	Required for UDL cases.
L	number	Yes	—
E	number	Yes	Modulus of elasticity in MPa (= N/mm²). Steel ≈ 210000, aluminum ≈ 70000.

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-deflection-calculator": {
      "name": "deflection-calculator",
      "description": "Look up and compute the maximum deflection for four classic beam cases: cantilever with end point load (δ=PL³/3EI), cantilever with UDL (δ=qL⁴/8EI), simply supported with mid-span point load (δ=PL³/48EI), and simply supported with UDL (δ=5qL⁴/384EI).",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=deflection-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": "deflection-calculator",
    "arguments": {
  "supportCase": "simplySupportedUDL",
  "P": 0,
  "q": 10,
  "L": 4000,
  "E": 210000,
  "I": 83600000,
  "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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