Math & Numbers

Simply Supported Beam Calculator

Calculate the maximum bending moment M_max, maximum shear force V_max and support reactions for a simply supported beam under a uniformly distributed load, a mid-span point load, or a point load at an arbitrary position. UDL: M_max = qL²/8; mid-span: M_max = PL/4; offset: M_max = P·a·b/L.

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/simply-supported-beam-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"loadType":"udl","q":10,"P":0,"L":4000,"a":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/simply-supported-beam-calculator

Parameters

Name	Type	Required	Description
loadType	select	No	—
q	number	No	Used in 'Uniformly Distributed Load' mode.
P	number	No	Used in 'Mid-span Point Load' and 'Point Load at a' modes.
L	number	Yes	—
a	number	No	Used only in 'Point Load at a' mode. Must satisfy 0 < a < L.

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-simply-supported-beam-calculator": {
      "name": "simply-supported-beam-calculator",
      "description": "Calculate the maximum bending moment M_max, maximum shear force V_max and support reactions for a simply supported beam under a uniformly distributed load, a mid-span point load, or a point load at an arbitrary position. UDL: M_max = qL²/8; mid-span: M_max = PL/4; offset: M_max = P·a·b/L.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=simply-supported-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": "simply-supported-beam-calculator",
    "arguments": {
  "loadType": "udl",
  "q": 10,
  "P": 0,
  "L": 4000,
  "a": 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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