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🏡 Cantilever Villa Architect

A dramatic cantilevered living room floats out over the hillside. Behind the support, a back-span anchors it down. Too short a back-span and the whole floor tips forward like a seesaw with nobody on the other end. Find the shortest back-span that still holds.

Cantilever

Cantilever length Lc = 3.0 m

Load (dead+live) wc = 12 kN/m

Back-span load wb = 12 kN/m (same construction)

Your Back-Span

Back-span length Lb 2.00 m

Live Result

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Overturning FS

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Resisting Moment (kNm)

🎯 Goal: find the shortest back-span that keeps overturning FS ≥ 1.5.

This game runs the exact moment-equilibrium formula (engine/cantilever-stability.js) verified before publishing: at the closed-form minimum back-span (3.674 m), FS comes out to exactly 1.500 — a round-trip check, not just a one-way calculation.

Method

Moment equilibriumFS = Mr/Mo = [wb·Lb·(Lb/2)] / [wc·Lc·(Lc/2)] — the same seesaw balance principle behind every overturning check on this site.

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