Math & Numbers
Poisson's Ratio Calculator
Calculate Poisson's ratio ν = −ε_transverse / ε_longitudinal and solve any of the three unknowns: ratio, lateral strain, or longitudinal strain. Tensile ε_long > 0 produces lateral contraction ε_lat < 0. Typical values: steel ≈ 0.30, aluminum ≈ 0.33, rubber ≈ 0.49, cork ≈ 0. Theoretical isotropic range 0 ≤ ν ≤ 0.5.
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/poisson-ratio-calculator' \
-H 'Content-Type: application/json' \
-d '{"solveFor":"ratio","nu":0,"epsLateral":-0.0009,"epsLong":0.003,"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/poisson-ratio-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| solveFor | select | No | — |
| nu | number | No | Poisson's ratio. Required when solving for lateral or longitudinal strain. Isotropic range 0–0.5. Steel ≈ 0.30, aluminum ≈ 0.33, rubber ≈ 0.49. |
| epsLateral | number | No | Transverse (lateral) strain, dimensionless. Negative when the longitudinal strain is tensile. Required when solving for ratio or longitudinal strain. |
| epsLong | number | No | Axial (longitudinal) strain, dimensionless. Required when solving for ratio or lateral strain. Must be non-zero when solving for ratio. |
| 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:
mcp.json
{
"mcpServers": {
"elysiatools-poisson-ratio-calculator": {
"name": "poisson-ratio-calculator",
"description": "Calculate Poisson's ratio ν = −ε_transverse / ε_longitudinal and solve any of the three unknowns: ratio, lateral strain, or longitudinal strain. Tensile ε_long > 0 produces lateral contraction ε_lat < 0. Typical values: steel ≈ 0.30, aluminum ≈ 0.33, rubber ≈ 0.49, cork ≈ 0. Theoretical isotropic range 0 ≤ ν ≤ 0.5.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=poisson-ratio-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": "poisson-ratio-calculator",
"arguments": {
"solveFor": "ratio",
"nu": 0,
"epsLateral": -0.0009,
"epsLong": 0.003,
"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).