Math & Numbers
Cantilever Beam Calculator
Calculate the maximum bending moment M_max, maximum shear force V_max and free-end deflection δ_max of a cantilever beam under a free-end point load P or a uniformly distributed load q. Point load: δ = PL³/(3EI); UDL: δ = qL⁴/(8EI).
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/cantilever-beam-calculator' \
-H 'Content-Type: application/json' \
-d '{"loadType":"pointEnd","P":2000,"q":0,"L":2000,"E":210000,"I":15000000,"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/cantilever-beam-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| loadType | select | No | — |
| P | number | No | Used in 'Point Load at Free End' mode. |
| q | number | No | Used in 'Uniformly Distributed Load' mode. |
| 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-cantilever-beam-calculator": {
"name": "cantilever-beam-calculator",
"description": "Calculate the maximum bending moment M_max, maximum shear force V_max and free-end deflection δ_max of a cantilever beam under a free-end point load P or a uniformly distributed load q. Point load: δ = PL³/(3EI); UDL: δ = qL⁴/(8EI).",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=cantilever-beam-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": "cantilever-beam-calculator",
"arguments": {
"loadType": "pointEnd",
"P": 2000,
"q": 0,
"L": 2000,
"E": 210000,
"I": 15000000,
"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]