Math & Numbers

Bearing Capacity Calculator (Terzaghi)

Calculate the Terzaghi ultimate bearing capacity of a shallow foundation: q_ult = c·Nc·sc + q·Nq·sq + 0.5·γ·B·Nγ·sγ. Computes Nc/Nq/Nγ and shape factors automatically; supports strip, square, and circular footings. Result in kPa.

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/bearing-capacity-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"shape":"strip","c":0,"phi":30,"gamma":18,"B":2,"Df":1,"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/bearing-capacity-calculator

Parameters

Name	Type	Required	Description
shape	select	No	—
c	number	Yes	Soil cohesion (undrained or effective). Use 0 for cohesionless soil.
phi	number	Yes	0 ≤ φ < 90. Use 0 for undrained clay (φ=0 analysis).
gamma	number	Yes	—
B	number	Yes	Foundation width (or diameter for circular).

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-bearing-capacity-calculator": {
      "name": "bearing-capacity-calculator",
      "description": "Calculate the Terzaghi ultimate bearing capacity of a shallow foundation: q_ult = c·Nc·sc + q·Nq·sq + 0.5·γ·B·Nγ·sγ. Computes Nc/Nq/Nγ and shape factors automatically; supports strip, square, and circular footings. Result in kPa.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=bearing-capacity-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": "bearing-capacity-calculator",
    "arguments": {
  "shape": "strip",
  "c": 0,
  "phi": 30,
  "gamma": 18,
  "B": 2,
  "Df": 1,
  "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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