Math & Numbers
Thermal Expansion Calculator (Linear / Volumetric)
Linear and volumetric thermal expansion of an isotropic material. Linear: ΔL = α·L₀·ΔT, L₁ = L₀·(1+α·ΔT). Volumetric: ΔV = 3α·V₀·ΔT (β = 3α for isotropic solids). Built-in typical α for carbon/alloy steel, aluminum, copper, austenitic stainless, titanium and glass, plus custom. ΔT in K or °C, length in mm, volume in mm³.
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/thermal-expansion-calculator' \
-H 'Content-Type: application/json' \
-d '{"mode":"linear","material":"carbonSteel","customAlpha":0,"length":1000,"volume":0,"deltaT":100,"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/thermal-expansion-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| mode | select | No | — |
| material | select | No | Material preset supplies typical linear expansion coefficient α. Choose 'Custom' to enter α. |
| customAlpha | number | No | Linear thermal expansion coefficient α in 1/K. Required only when Material is 'Custom'. Typical: steel ≈ 12e-6, aluminum ≈ 23e-6. |
| length | number | No | Original (unstressed) length in mm. Required in 'linear' mode. |
| volume | number |
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-thermal-expansion-calculator": {
"name": "thermal-expansion-calculator",
"description": "Linear and volumetric thermal expansion of an isotropic material. Linear: ΔL = α·L₀·ΔT, L₁ = L₀·(1+α·ΔT). Volumetric: ΔV = 3α·V₀·ΔT (β = 3α for isotropic solids). Built-in typical α for carbon/alloy steel, aluminum, copper, austenitic stainless, titanium and glass, plus custom. ΔT in K or °C, length in mm, volume in mm³.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=thermal-expansion-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": "thermal-expansion-calculator",
"arguments": {
"mode": "linear",
"material": "carbonSteel",
"customAlpha": 0,
"length": 1000,
"volume": 0,
"deltaT": 100,
"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).