Math & Numbers

Tensile & Yield Strength Calculator

Compute engineering tensile strength σ_uts = F_max/A₀, yield strength σ_y = F_y/A₀ (optional), and the yield ratio σ_y/σ_uts from a uniaxial tension test. Forces in kN, area in mm² → stress in MPa. A₀ is the original cross-section. Yield ratio <0.55 high ductility, 0.55–0.85 moderate, >0.85 low ductility.

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/tensile-strength-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"area":50,"maxForce":40,"yieldForce":30,"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/tensile-strength-calculator

Parameters

Name	Type	Required	Description
area	number	Yes	Original (unstressed) cross-section area of the gauge section, in mm². Engineering convention uses A₀, not the necked area.
maxForce	number	Yes	Maximum force reached during the test (at onset of necking), in kN.
yieldForce	number	No	Force at the yield point, in kN. Optional — when omitted, only σ_uts is reported (yield ratio needs F_y).
decimalPlaces	number	No	—

Response format

JSON result

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-tensile-strength-calculator": {
      "name": "tensile-strength-calculator",
      "description": "Compute engineering tensile strength σ_uts = F_max/A₀, yield strength σ_y = F_y/A₀ (optional), and the yield ratio σ_y/σ_uts from a uniaxial tension test. Forces in kN, area in mm² → stress in MPa. A₀ is the original cross-section. Yield ratio <0.55 high ductility, 0.55–0.85 moderate, >0.85 low ductility.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=tensile-strength-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": "tensile-strength-calculator",
    "arguments": {
  "area": 50,
  "maxForce": 40,
  "yieldForce": 30,
  "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).

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Tensile & Yield Strength Calculator

json· JSON resultOpen tool

Name

Type

Required

Description

area

number

Yes

Original (unstressed) cross-section area of the gauge section, in mm². Engineering convention uses A₀, not the necked area.

maxForce

number

Yes

Maximum force reached during the test (at onset of necking), in kN.

yieldForce

number

Force at the yield point, in kN. Optional — when omitted, only σ_uts is reported (yield ratio needs F_y).

decimalPlaces

number

—

{ "mcpServers": { "elysiatools-tensile-strength-calculator": { "name": "tensile-strength-calculator", "description": "Compute engineering tensile strength σ_uts = F_max/A₀, yield strength σ_y = F_y/A₀ (optional), and the yield ratio σ_y/σ_uts from a uniaxial tension test. Forces in kN, area in mm² → stress in MPa. A₀ is the original cross-section. Yield ratio <0.55 high ductility, 0.55–0.85 moderate, >0.85 low ductility.", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=tensile-strength-calculator", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "tensile-strength-calculator", "arguments": { "area": 50, "maxForce": 40, "yieldForce": 30, "decimalPlaces": 4 } } }