Volex Labs / Calculations / Yield-line analysis of reinforced concrete slabs.

Yield-line analysis of reinforced concrete slabs.

Enter the slab dimensions, support conditions and load, and Volex Anvil finds the required moment of resistance m from the governing yield-line collapse mechanism, for one-way, two-way and irregular slabs — the upper-bound plastic method that often gives thinner slabs than elastic design.

The mechanisms follow Johansen's yield-line theory as set out in Kennedy & Goodchild, 'Practical Yield Line Design', so the required m matches the standard reference results.

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What Volex Anvil checks

Validated against the published example

Yield-line required moment — Johansen theory Johansen yield-line theory; Kennedy & Goodchild §3
QuantityPublishedVolex AnvilError
Required moment m (case 1)22.5 kNm/m22.5 kNm/m0.00%
Required moment m (case 2)14.14 kNm/m14.14 kNm/m0.02%
This case is one of 359 published checks the platform passes — the full table, with every source and every error, is public at volexlabs.com/verification.

Frequently asked

Is yield-line safe (upper bound)?
Yield-line is an upper-bound method, so the critical mechanism must be found; the standard mechanisms for common slab shapes are checked and the governing one used.
Which slabs are supported?
One-way and two-way rectangular slabs, plus triangular and irregular panels, with simply-supported, fixed and free edges.
Is it validated?
The required moments are checked against Kennedy & Goodchild worked examples — within 0.02%.
Free tier?
Yes — 10 calculations a month free; Pro (£29/month) adds unlimited runs and PDF calc sheets.

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