Math & Numbers
Heating Load Calculator (Envelope Transmission + Infiltration)
Estimate the heating (heat-loss) load of a room by the simplified steady-state method. Envelope transmission loss Q_trans = Σ(A_i·U_i·ΔT) over surfaces entered one per line as 'area,U' (U in W/(m²·K)). Cold-air infiltration loss Q_inf = 0.018·ACH·V·ΔT (W), where 0.018 W·h/(m³·K) ≈ ρ·c_p/3600. Total load = Q_trans + Q_inf, optionally multiplied by a safety factor (default 1.0). ΔT = indoor - outdoor (heating, >0). Temperature in °C/K/°F (only differences matter), area in m²/ft².
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/heating-load-calculator' \
-H 'Content-Type: application/json' \
-d '{"surfaces":"50, 0.5\n10, 1.8","areaUnit":"m2","indoorTemp":20,"outdoorTemp":-5,"tempUnit":"°C","volume":120,"ach":0.5,"safetyFactor":1.1,"decimalPlaces":2}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
POST https://api.elysiatools.com/en/api/tools/heating-load-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| surfaces | textarea | Yes | One envelope surface per line as 'area,U-value'. U in W/(m²·K). Area in the selected Area Unit. Example line: 50, 0.5 |
| areaUnit | select | No | — |
| indoorTemp | number | Yes | Indoor design (comfort) temperature, in the selected Temperature Unit. |
| outdoorTemp | number | Yes | Outdoor design (winter) temperature, in the selected Temperature Unit. |
| tempUnit | select |
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:
{
"mcpServers": {
"elysiatools-heating-load-calculator": {
"name": "heating-load-calculator",
"description": "Estimate the heating (heat-loss) load of a room by the simplified steady-state method. Envelope transmission loss Q_trans = Σ(A_i·U_i·ΔT) over surfaces entered one per line as 'area,U' (U in W/(m²·K)). Cold-air infiltration loss Q_inf = 0.018·ACH·V·ΔT (W), where 0.018 W·h/(m³·K) ≈ ρ·c_p/3600. Total load = Q_trans + Q_inf, optionally multiplied by a safety factor (default 1.0). ΔT = indoor - outdoor (heating, >0). Temperature in °C/K/°F (only differences matter), area in m²/ft².",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=heating-load-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "heating-load-calculator",
"arguments": {
"surfaces": "50, 0.5\n10, 1.8",
"areaUnit": "m2",
"indoorTemp": 20,
"outdoorTemp": -5,
"tempUnit": "°C",
"volume": 120,
"ach": 0.5,
"safetyFactor": 1.1,
"decimalPlaces": 2
}
}
}