------------------------------ | ------------------------------------------- | --------------------------------------------- | --------------------------------------- | -------------------------------- | | Flexure phi | 0.90 | 0.90 | gamma_M1 = 1.00 | 0.90 | | Shear phi | 1.00 (most rolled) | 0.90 | gamma_M0 = 1.00 | 0.90 | | LTB approach | Lp/Lr transition, Cb modifier | alpha_m moment modifier, Le effective length | chi_LT reduction factor, LTB curves a-d | omega_2 equivalent moment factor | | Section classification | Compact / Non-compact / Slender | Compact / Non-compact / Slender (Table 5.2) | Class 1 / 2 / 3 / 4 | Class 1 / 2 / 3 / 4 | | Moment capacity (compact, braced) | phi Mn = phi Fy Zx | phi Mn = phi fy Zx | Mc,Rd = Wpl fy / gamma_M0 | Mr = phi Fy Zx | | Deflection limit (floor, live) | L/360 (AISC DG3) | L/250 (AS 1170.0 App C) | L/250 total, L/300 variable (EN 1990) | L/360 (NBC) | | Cb / alpha_m factor | Cb = 12.5Mmax / (2.5Mmax + 3MA + 4MB + 3MC) | alpha_m from Table 5.6.1 or rational analysis | C1 from Table B.3 (EN 1993) | omega_2 from Cl. 13.6 |

Stage 1 — Define the loading

Stage 2 — Analyse for actions

Stage 3 — Select a trial section

Stage 4 — Check strength limit states

Stage 5 — Check serviceability

Documentation

Frequently Asked Questions

What is the most common beam design mistake? Mixing factored and unfactored loads. If you enter factored loads into a calculator that then applies its own load factors, the beam is checked against demands that are too high (overly conservative) or the calculator may not apply factors at all (unconservative if you entered service loads expecting factors to be applied).

Should I check deflection even if strength governs? Yes. Deflection limits are serviceability requirements and must be satisfied independently of strength. A beam can pass all strength checks and still violate a deflection limit.

How do I handle lateral-torsional buckling? The unbraced length (distance between lateral restraint points) is the key input. If the beam is continuously braced (e.g., by a concrete slab), LTB does not govern. If discrete bracing exists, you must determine the unbraced length for each segment.

Does the calculator handle continuous beams? The beam analysis tools handle simply-supported and basic configurations. Multi-span continuous beams require a separate analysis to determine the moment and shear diagrams, which can then be used as inputs to the capacity checker.

Is this guide engineering advice? No. It is an educational workflow description to help organize beam design calculations. Project criteria and compliance decisions are defined by the governing standard and the engineer of record.

What unbraced length triggers lateral-torsional buckling for a W18x35 beam per AISC 360? Per AISC 360-22 Table 1-1 for W18x35: Lp (plastic moment limit) ≈ 4.31 ft and Lr (elastic LTB limit) ≈ 14.0 ft. Below Lp, the full plastic moment Mp governs. Between Lp and Lr, moment capacity reduces linearly. Above Lr, elastic LTB governs and capacity falls rapidly. For a simply supported beam with the top flange continuously braced by a concrete slab, Lb = 0 and LTB does not apply. For an unbraced steel roof beam with Lb = 20 ft, elastic LTB would reduce the available moment significantly below Mp.

What L/360 limit means numerically for a 30-foot floor beam, and what section is typically needed? L/360 = 30 × 12 / 360 = 1.0 inch maximum live-load deflection. For a simply supported beam under a uniform live load of 50 psf on a 10-foot tributary width (500 lb/ft = 0.5 k/ft), the required moment of inertia is I_req = 5wL^4 / (384EΔ) = 5 × 0.5 × 30^4 × 1728 / (384 × 29,000,000 × 1.0) ≈ 467 in⁴. From AISC tables, a W18x35 (Ix = 510 in⁴) or W16x40 (Ix = 518 in⁴) would satisfy this limit. Strength (moment) must be checked separately.

Run This Calculation

→ Beam Capacity Calculator — moment, shear, and deflection per AISC 360, AS 4100, EN 1993 with full derivation output.

→ Beam Span Tool — shortlist W-shapes for span and load, with deflection limit screening.

→ Composite Beam Calculator — composite W-shape with concrete deck per AISC 360 Chapter I.

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Disclaimer (educational use only)

This page is provided for general technical information and educational use only. It does not constitute professional engineering advice, a design service, or a substitute for an independent review by a qualified structural engineer. Any calculations, outputs, examples, and workflows discussed here are simplified descriptions intended to support understanding and preliminary estimation.

All real-world structural design depends on project-specific factors (loads, combinations, stability, detailing, fabrication, erection, tolerances, site conditions, and the governing standard and project specification). You are responsible for verifying inputs, validating results with an independent method, checking constructability and code compliance, and obtaining professional sign-off where required.

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