Free calculator · AISC 360-22 · LRFD

Steel Beam Design Calculator

Flexure and deflection checks for W-shapes — simply supported, uniform load. Get an answer in five seconds, then see every step of the calculation below.

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Quick answer

Inputs
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Result
Required strength, Mu110.0 kip·ft
Design strength, ϕMn139.5 kip·ft
Live-load deflection, ΔL0.609 in (limit 0.667)
Governing ratio
0.91
PASS
Governs: deflection · flexure 0.79 / deflection 0.91

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How this calculator works

The calculator checks a simply supported steel W-shape under uniform dead and live load using LRFD per AISC 360-22. The factored load is wᵤ = 1.2w_D + 1.6w_L (ASCE 7-22 load combination 2), producing a required flexural strength of Mᵤ = wᵤL²/8 at midspan. Design strength is ϕMₙ = ϕ_b F_y Z_x with ϕ_b = 0.90, which applies to compact sections with the compression flange continuously braced. Live-load deflection is computed as Δ = 5wL⁴/384EI and compared against the IBC L/360 limit for live load.

Assumptions and limitations

Simply supported single span, uniform load only, compact AISC W-shapes, continuous lateral bracing (L_b = 0), and E = 29,000 ksi. Lateral-torsional buckling, shear, web checks, and point or pattern loading are covered in the full editor templates. This calculator is a design aid — engineering judgment and final responsibility rest with the licensed engineer of record.

Frequently asked questions

Is the calculation verified?

Yes. Every equation in the worksheet is matched against CalcPackage's AISC 360-22 equation registry and dimension-checked on every recomputation. The chain-of-custody rail on the right of the editor records the verification history.

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What if my beam has point loads or isn't braced?

The full editor handles point loads, moments, unbraced lengths, and shear checks — describe the problem to the AI scaffolder or start from a template.