Math & Numbers
Thermal Stress Calculator (σ = E·α·ΔT)
Thermal stress in a fully constrained member under a uniform temperature change: σ_th = E·α·ΔT. Built-in typical Young's modulus E and expansion coefficient α for carbon/alloy steel, aluminum, copper, austenitic stainless and titanium, plus custom values. ΔT in K or °C (same magnitude), result in MPa. Heating (ΔT>0) → compressive stress in the member.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/thermal-stress-calculator' \
-H 'Content-Type: application/json' \
-d '{"material":"carbonSteel","customE":0,"customAlpha":0,"deltaT":100,"decimalPlaces":4}'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/thermal-stress-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| material | select | No | Material preset supplies typical E and α. Choose 'Custom' to enter both yourself. |
| customE | number | No | Young's modulus E in MPa. Required only when Material is 'Custom'. |
| customAlpha | number | No | Coefficient of linear thermal expansion α in 1/K. Required only when Material is 'Custom'. Typical: steel ≈ 12e-6, aluminum ≈ 23e-6. |
| deltaT | number | Yes | Temperature change ΔT in K or °C (same magnitude). Positive = heating (→ compressive thermal stress), negative = cooling (→ tensile). |
| decimalPlaces |
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-thermal-stress-calculator": {
"name": "thermal-stress-calculator",
"description": "Thermal stress in a fully constrained member under a uniform temperature change: σ_th = E·α·ΔT. Built-in typical Young's modulus E and expansion coefficient α for carbon/alloy steel, aluminum, copper, austenitic stainless and titanium, plus custom values. ΔT in K or °C (same magnitude), result in MPa. Heating (ΔT>0) → compressive stress in the member.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=thermal-stress-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": "thermal-stress-calculator",
"arguments": {
"material": "carbonSteel",
"customE": 0,
"customAlpha": 0,
"deltaT": 100,
"decimalPlaces": 4
}
}
}