Math & Numbers
Fatigue Limit Calculator (Goodman / Gerber / Soderberg)
Mean-stress fatigue correction under cyclic loading. Given stress amplitude σ_a, mean stress σ_m, and material σ_uts / σ_-1 (endurance limit) / σ_y, compute safety factors from three classical criteria: Modified Goodman (linear, conservative), Gerber (parabolic, better for ductile metals), and Soderberg (uses σ_y, most conservative). Reports the governing (smallest) value and whether the operating point lies inside the Goodman line.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/fatigue-limit-calculator' \
-H 'Content-Type: application/json' \
-d '{"stressAmplitude":100,"meanStress":200,"uts":800,"enduranceLimit":300,"yield":500,"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/fatigue-limit-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| stressAmplitude | number | Yes | Alternating stress amplitude σ_a = (σ_max − σ_min)/2 in MPa. Must be > 0 (zero amplitude means no cycling). |
| meanStress | number | No | Mean stress σ_m = (σ_max + σ_min)/2 in MPa. Tensile (>0) reduces fatigue life; compressive (<0) is beneficial but unusual in textbook problems. |
| uts | number | No | Ultimate tensile strength of the material in MPa. Required by Goodman and Gerber. |
| enduranceLimit | number | No | Fully reversed fatigue (endurance) limit σ_-1 in MPa, typically for 10⁶ cycles or more. Must not exceed σ_uts. |
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-fatigue-limit-calculator": {
"name": "fatigue-limit-calculator",
"description": "Mean-stress fatigue correction under cyclic loading. Given stress amplitude σ_a, mean stress σ_m, and material σ_uts / σ_-1 (endurance limit) / σ_y, compute safety factors from three classical criteria: Modified Goodman (linear, conservative), Gerber (parabolic, better for ductile metals), and Soderberg (uses σ_y, most conservative). Reports the governing (smallest) value and whether the operating point lies inside the Goodman line.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=fatigue-limit-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": "fatigue-limit-calculator",
"arguments": {
"stressAmplitude": 100,
"meanStress": 200,
"uts": 800,
"enduranceLimit": 300,
"yield": 500,
"decimalPlaces": 4
}
}
}