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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.

API health

healthy
Uptime
100.00%
Server probes · 24h
Avg latency
89 ms
Server probes · 24h
Subscribers
4,761
active
Total calls
36
last 7 days
status Full status page → · 20 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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Wire Gauge API

AWG (American Wire Gauge) maths as an API, computed locally and deterministically. The awg endpoint returns the physical properties of a gauge — the diameter, 0.127·92^((36−n)/39) mm, the cross-section area, the DC resistance per kilometre and per 1000 ft for copper or aluminium, and the Preece fusing current (the point at which the wire melts, far above any safe operating ampacity). The fromdiameter endpoint goes the other way, giving the nearest AWG for a measured diameter or cross-section area, n = 36 − 39·log₉₂(d/0.127). The resistance endpoint gives the resistance of a wire run from its gauge, length and material, R = ρ·L/A. Gauges 0/0 (1/0), 00 (2/0) and 000 (3/0) are entered as −1, −2 and −3. Everything is computed locally and deterministically, so it is instant and private. Ideal for electronics, electrical and maker app developers, wiring and cable-selection tools, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is wire-gauge geometry and resistance; for cable voltage drop over a circuit use a voltage-drop API.

api.oanor.com/wiregauge-api

Knitting Gauge API

Knitting and crochet gauge maths as an API, computed locally and deterministically. The stitches endpoint turns a gauge — the standard stitches and rows per 10 cm measured from a tension swatch — into the number of stitches to cast on for a target width and the number of rows for a target length; at 22 stitches and 30 rows per 10 cm, a 50 cm wide by 60 cm long piece needs 110 stitches and 180 rows. The gauge endpoint works backwards from a measured swatch, converting a count over a measured distance into stitches (or rows) per 10 cm, per centimetre and per inch — 33 stitches over 15 cm is a gauge of 22 per 10 cm. The convert-pattern endpoint re-scales a pattern written for one gauge to your own gauge so the finished garment keeps its intended size: your count = pattern count · (your gauge / pattern gauge), so a 100-stitch cast-on at a 20-per-10 cm pattern becomes 110 at your 22-per-10 cm tension. Dimensions are in centimetres. Everything is computed locally and deterministically, so it is instant and private. Ideal for knitting, crochet, pattern-design, craft-marketplace and maker app developers, gauge and tension calculators, and yarn-shop tools. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is gauge and stitch maths; works for crochet too by using your stitch gauge.

api.oanor.com/knitting-api

Moment of Inertia API

Rigid-body rotational-inertia mechanics as an API, computed locally and deterministically. The shape endpoint returns the mass moment of inertia and the radius of gyration k = √(I/m) for a named standard body about its characteristic axis — a solid sphere (I = 2/5·m·r²), thin spherical shell (2/3·m·r²), solid cylinder or disk (1/2·m·r²), annular/hollow cylinder (1/2·m·(r1²+r2²)), thin ring (m·r²), thin rod about its centre (1/12·m·l²) or about one end (1/3·m·l²), rectangular plate or cuboid (1/12·m·(a²+b²)), solid cone (3/10·m·r²) and point mass (m·r²) — so a 2 kg solid sphere of radius 0.5 m has I = 0.2 kg·m². The parallel-axis endpoint applies the Steiner theorem I = I_cm + m·d² to shift a moment of inertia from the centre-of-mass axis to any parallel axis a distance d away. The shapes endpoint lists the whole catalog with its formulas. All quantities are SI (kg, m → kg·m²). Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical-engineering, robotics, CAD/CAE, rotating-machinery, structural-dynamics and physics-education app developers, flywheel-and-shaft design tools, and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is rotational inertia; for stored rotational energy and flywheel sizing use a flywheel API and for torque and angular acceleration a torque API.

api.oanor.com/momentofinertia-api

Taper Calculator API

Taper and cone geometry as an API, computed locally and deterministically. The taper endpoint relates the large and small diameters, the length and the taper of a conical part: give the two diameters and the length and it returns the taper ratio, the taper per foot and per inch (for inch parts), the included angle 2·atan((D−d)/(2L)) and the half (taper) angle from the axis — or leave one of the diameters or the length out and provide the taper per foot, and it solves for the missing dimension. The diameter-at endpoint gives the diameter (and radius) at any distance along the taper, measured from either the large or the small end, by linear interpolation d(x) = D − (D−d)·x/L. The morse endpoint is a reference of the standard Morse taper series MT0 to MT7, with each taper's taper per foot, gauge-line large and small diameter, length and included angle. Lengths and diameters use consistent units (inches by default, or millimetres for the angle and ratio outputs). Everything is computed locally and deterministically, so it is instant and private. Ideal for machining and lathe tools, CAD and toolmaking apps, maker and metalworking projects, and mechanical-engineering calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is taper geometry; for screw-thread pitch and tap drill use a thread API and for spur-gear geometry use a gear API.

api.oanor.com/taper-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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