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API · /catenary-api

Catenary Cable API

healthy 4,761 Subscribers

Catenary (hanging-cable) maths as an API, computed locally and deterministically. The sag endpoint solves the exact catenary for a cable hung between two level supports: from the span, the weight per unit length and either the horizontal tension or the sag, it returns the catenary parameter a = H/w, the sag a·(cosh(L/2a) − 1), the cable length 2a·sinh(L/2a), the minimum tension (the horizontal tension at the lowest point) and the maximum tension at the supports (H·cosh(L/2a)), plus the slack over the straight span. The parabolic endpoint gives the shallow-sag parabolic approximation — sag = w·L²/(8·H) — that is standard for overhead utility lines, and converts between sag and tension either way. The length endpoint returns the cable length for a given span and sag, with the parabolic value alongside for comparison. Forces and lengths are unit-agnostic but must be consistent (for example newtons, newtons per metre and metres). Everything is computed locally and deterministically, so it is instant and private. Ideal for power-line and transmission tools, zip-line and rigging apps, suspension and surveying calculators, and physics and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is hanging-cable catenary maths; for rigging working load limits use a rigging API and for beam deflection use a beam API.

#catenary #cable #sag #tension #engineering #developer-tools
api.oanor.com/catenary-api
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Machine-readable spec so AI agents can integrate this API.

/api/catenary-api/openapi.json
/api/catenary-api/llms.txt

Discovery: GET /api/index.json lists every API.

Catenary Cable API — live data on the oanor API marketplace

API health

healthy
Uptime
100.00%
Server probes · 24h
Avg latency
79 ms
Server probes · 24h
Subscribers
4,761
active
Total calls
76
last 7 days
status Full status page → · 12 probes/24h

Pricing

Pick a tier — billed monthly, cancel anytime.

Free

Free

  • 2,000 calls / month
  • 2 requests / second
  • Hard cap (429 above quota, no overage)
  • Exact catenary sag between level supports
  • Horizontal & support tension output
  • 2 requests/sec, JSON responses
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Starter

€9.00 /month

  • 20,000 calls / month
  • 6 requests / second
  • Hard cap (429 above quota, no overage)
  • Sag, tension and arc-length endpoints
  • Distributed-load (self-weight + ice) support
  • Deterministic results, no rate spikes
  • Email support
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Pro

€24.00 /month

  • 120,000 calls / month
  • 20 requests / second
  • Hard cap (429 above quota, no overage)
  • Unleveled-support and multi-span solving
  • Batch cable runs in one call
  • SI + imperial unit handling
  • Priority support & 99.9% uptime
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Mega

€74.00 /month

  • 639,000 calls / month
  • 60 requests / second
  • Hard cap (429 above quota, no overage)
  • High-volume CAD/structural pipeline use
  • Full tension envelope & safety-factor output
  • Highest concurrency (60 rps)
  • Dedicated support & SLA
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Railway Tractive Effort API

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Worm Gear API

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api.oanor.com/wormgear-api

Frequently asked questions

Quick answers about pricing, quotas, and integration.

How do I get an API key for Catenary Cable API?
Sign up for free at oanor.com, generate an API key from the developer dashboard, and call Catenary Cable API with the x-oanor-key header. No credit card needed for the free tier.
What's the rate limit for Catenary Cable API?
Free tier allows 1 request per second. Paid plans scale up to 50 requests per second on the Mega tier. Hard limits return HTTP 429 above the quota — no surprise overage charges.
How much does Catenary Cable API cost?
Catenary Cable API has a free tier with 100 calls / month. Paid plans start at €9.00 / month with higher quotas and faster rate limits.
Can I cancel my subscription anytime?
Yes. Plans are billed monthly and you can cancel anytime from your billing dashboard. No long-term contracts and no cancellation fee.
Is Catenary Cable API GDPR-compliant?
All requests to Catenary Cable API go through our EU-based gateway. Your upstream API key never leaves our server and no personal data is shared with the upstream provider beyond the request you send.

Pick an endpoint from the list on the left to see its details and try it.

Code snippets

Sign up to get an API key, then call any path under your slug.

curl https://api.oanor.com/catenary-api/SOME_PATH \
  -H "x-oanor-key: oanor_test_..."
const res = await fetch("https://api.oanor.com/catenary-api/SOME_PATH", {
  headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();
$ch = curl_init("https://api.oanor.com/catenary-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);
import requests
r = requests.get(
    "https://api.oanor.com/catenary-api/SOME_PATH",
    headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())

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