Euler critical buckling load
API · /buckling-api
Column Buckling API
healthy
4,035 Subscribers
Euler column buckling as an API, computed locally and deterministically. The critical-load endpoint computes the Euler critical (buckling) load of a slender column, Pcr = π²·E·I / (K·L)², from the Young's modulus, the second moment of area, the length and the end conditions — pinned-pinned (K=1), fixed-fixed (K=0.5), fixed-pinned (K≈0.7) or fixed-free / cantilever (K=2), or a custom effective-length factor — and, given the cross-section area, also the radius of gyration, slenderness ratio and critical buckling stress. The section endpoint returns the area, the second moment of area about both axes and the radius of gyration for a solid circle, a hollow circle or tube, or a rectangle, and highlights the weak-axis value that governs buckling. The slenderness endpoint computes the slenderness ratio λ = K·L/r and, given the modulus and yield strength, the transition slenderness λ1 = π·√(2E/σy) that separates long Euler columns from short and intermediate ones, classifies the column and returns both the Euler and the J.B. Johnson critical stresses. Everything is computed locally and deterministically, so it is instant and private. Ideal for structural, mechanical and aerospace engineering tools, strut and frame design, machine-design and stability-analysis apps, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is column buckling and stability; for beam bending, shear and deflection use a beam-statics API.
api.oanor.com/buckling-api
API health
healthy- Uptime
- 100.00%
- Server probes · 24h
- Avg latency
- 92 ms
- Server probes · 24h
- Subscribers
- 4,035
- active
- Total calls
- 36
- last 7 days
Pricing
Pick a tier — billed monthly, cancel anytime.
Free
Free
- 2,000 calls / month
- 2 requests / second
- Hard cap (429 above quota, no overage)
- Euler critical-load endpoint
- All standard end-condition factors (pinned, fixed, free)
- Deterministic local compute, no rate spikes
- Community support
Starter
€9.00 /month
- 18,000 calls / month
- 5 requests / second
- Hard cap (429 above quota, no overage)
- Critical load + slenderness ratio output
- Metric and imperial unit handling
- JSON responses with intermediate terms
- Email support
Pro
€24.00 /month
- 120,000 calls / month
- 15 requests / second
- Hard cap (429 above quota, no overage)
- Batch column evaluation
- Effective-length factor (K) presets
- Safety-factor and allowable-load fields
- Priority support
Mega
€74.00 /month
- 750,000 calls / month
- 40 requests / second
- Hard cap (429 above quota, no overage)
- High-throughput design-sweep workloads
- Full buckling result set (Pcr, slenderness, stress)
- 99.9% uptime SLA
- Dedicated support channel
Built by
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api.oanor.com/rebar-api
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api.oanor.com/windload-api
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api.oanor.com/mohr-api
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Weld design maths as an API, computed locally and deterministically. The fillet endpoint sizes an equal-leg fillet weld: from the leg size, the weld length and an allowable shear stress it returns the effective throat (leg ÷ √2), the effective area, the load capacity and the strength per millimetre of weld; give a design force instead of a leg and it returns the required throat and leg size, and if you also pass a provided leg it reports the utilization and whether the weld is adequate. The butt endpoint handles a full-penetration butt (groove) weld, where the effective throat equals the plate thickness, returning the area and capacity. The throat endpoint converts between leg and throat — equal-leg (throat = leg ÷ √2), unequal legs (throat = a·b ÷ √(a²+b²)) and throat back to leg. Lengths are in millimetres, stress in megapascals and force in newtons. Everything is computed locally and deterministically, so it is instant and private. An estimating aid, not a code-stamped design — use the allowable stress and electrode from your governing code (AISC, Eurocode). Ideal for structural and fabrication tools, weld-design and estimating apps, maker and metalwork projects, and engineering calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is weld strength sizing; for bolt tightening torque use a torque API and for the weight of the steel use a metal-weight API.
api.oanor.com/weld-api
Frequently asked questions
Quick answers about pricing, quotas, and integration.
How do I get an API key for Column Buckling API?
Sign up for free at oanor.com, generate an API key from the developer dashboard, and call Column Buckling API with the x-oanor-key header. No credit card needed for the free tier.
What's the rate limit for Column Buckling 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 Column Buckling API cost?
Column Buckling 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 Column Buckling API GDPR-compliant?
All requests to Column Buckling 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/buckling-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."const res = await fetch("https://api.oanor.com/buckling-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();$ch = curl_init("https://api.oanor.com/buckling-api/SOME_PATH");
curl_setopt($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/buckling-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())Ratings
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