Steel Web Local Yielding and Crippling (AISC 360 J10)
Where a column bears on a beam or a beam lands on a plate, the web itself can fail before the member does: J10.2 web local yielding Rn = Fy tw (5k + lb) interior or (2.5k + lb) at an end, and J10.3 web crippling with its sqrt(E Fy tf/tw) term. Because their safety factors differ (1.50 vs 2.00), the governing limit can flip - a W18x50 on a 4 in interior bearing is crippling-governed at 102.1 kip ASD, but move the same bearing to the end and yielding takes over at 84.3 kip. The check that decides a bearing stiffener. A design aid, not the engineer of record's stamped design.
Formula and source
WLY Rn = Fy tw (5k + lb) interior, Fy tw (2.5k + lb) end (Omega 1.50 / phi 1.00); WC Rn = 0.80 tw^2 [1 + 3(lb/d)(tw/tf)^1.5] sqrt(E Fy tf/tw) (Omega 2.00 / phi 0.75); governing = min of the factored pair. (E = 29,000 ksi)
The AISC 360-22 J10.2 web local yielding and J10.3 web crippling limit states under a concentrated transverse force, with the interior/end coefficients and their differing resistance/safety factors, by name.
Audience
This tile is built for trades and the adjacent professions in the Carpentry and Construction group. The interactive calculator runs entirely in your browser. No account, no fee, no advertising, no tracking.
Related tools
Posture
Rough Logic answers the math question the working professional asks on the job. The site is a calm, fast, ad-free, account-free, ever-free reference. It does not interpret code. It does not replace the licensed professional. It does not store your inputs. The Authority Having Jurisdiction governs all installations and inspections.