Math & Numbers

Slope Stability Calculator (Infinite Slope)

Calculate the infinite-slope factor of safety: FS = c'/(γ·z·cosβ·sinβ) + tanφ'/tanβ. Supports dry slopes and seepage parallel to the slope. Returns FS and a stable/marginal/unstable classification.

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/slope-stability-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"mode":"dry","c":10,"phi":25,"beta":30,"z":3,"gamma":18,"gammaSat":0,"gammaW":9.81,"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/slope-stability-calculator

Parameters

Name	Type	Required	Description
mode	select	No	—
c	number	Yes	Effective cohesion c'. Use 0 for clean cohesionless soil.
phi	number	Yes	0 ≤ φ' < 90.
beta	number	Yes	0 < β < 90. Slope angle from horizontal.
z	number	Yes	Vertical depth of the slip surface below the slope face.

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-slope-stability-calculator": {
      "name": "slope-stability-calculator",
      "description": "Calculate the infinite-slope factor of safety: FS = c'/(γ·z·cosβ·sinβ) + tanφ'/tanβ. Supports dry slopes and seepage parallel to the slope. Returns FS and a stable/marginal/unstable classification.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=slope-stability-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": "slope-stability-calculator",
    "arguments": {
  "mode": "dry",
  "c": 10,
  "phi": 25,
  "beta": 30,
  "z": 3,
  "gamma": 18,
  "gammaSat": 0,
  "gammaW": 9.81,
  "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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