Types of Bracing — Cross, K, V, Lateral & Truss Bracing
Bracing is the structural shorthand for any diagonal or stiffener that carries lateral loads (wind, seismic, vibration) and prevents buckling of compression members. This page covers the five common bracing systems used in modern steel and timber framing — cross, K, V/chevron, eccentric (EBF), and buckling-restrained — plus lateral bracing of beams, truss bracing, and the AISC stiffness and strength rules that size them. Reviewed by a licensed PE.
Bracing tools and recommendations
For bracing-system layout decisions, the truss solver (method of joints) computes the axial forces in every brace and chord member of any 2-D braced frame or truss; the AISC HSS section table inside the moment-of-inertia tools gives the radii of gyration needed for KL/r checks. For lateral-torsional buckling of beams, AISC F2 / F3 governs and the embedded steel-section data lets you check Lp / Lr without leaving the page.
→ Truss solver (method of joints) · → Moment of inertia & radius of gyration · → HSS steel material reference
Bracing design formulas
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- V_story = total lateral force at the level
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- n = number of braces resisting V (one per direction in tension-only X)
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- θ = angle of the brace from horizontal (45–60° typical)
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- K = effective length factor (1.0 for pinned-pinned brace)
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- L = unbraced length of the brace
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- r = least radius of gyration
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- For A992 steel SCBF: KL/r ≤ 4·√(29 000/50) = 96
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- M_r = required flexural strength at the braced point
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- L_b = unbraced length
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- h_o = distance between flange centroids
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- C_d = 1.0 for single curvature, 2.0 for reverse curvature
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- 2 % rule — minimum bracing strength for nodal lateral bracing of beams
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- Independent of bracing-element strength check (KL/r, etc.)
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- For columns: P_br = 0.01 P_r
Standards governing bracing design
| Document | Scope |
|---|---|
| ASCE 7-22 | Wind (Chapters 26–30) and seismic (Chapters 11–13) loads — sets the lateral demand bracing must resist |
| AISC 360-22 — Appendix 6 | Stability bracing — stiffness and strength requirements for both relative and nodal bracing |
| AISC 341-22 | Seismic Provisions — SCBF (special concentrically braced frame), OCBF, EBF, BRBF, SMF design |
| AISC 360 §F2.2 | Lateral-torsional buckling of doubly-symmetric beams — Lp / Lr / Mn equations |
| ANSI/AWC NDS-2018 | Wood-frame bracing — let-in 1× braces, metal T-braces, diagonal lumber |
| IBC 2021 §2308 | Conventional light-frame wood construction bracing requirements (braced wall lines) |
| AWC SDPWS-2021 | Special Design Provisions for Wind and Seismic — wood diaphragms and shear walls |
Reference: bracing system selection by application
| Bracing type | Best for | Stiffness | Ductility | Architectural impact |
|---|---|---|---|---|
| X-bracing (cross) | Wind frames; low-seismic | High | Low (tension-only) | Blocks both directions of bay |
| K-bracing | Wind only — prohibited for seismic SCBF | High | Very low (column hinge) | Allows door at mid-bay |
| V / inverted-V (chevron) | Seismic SCBF | High | Medium | Allows door under chevron point |
| Eccentrically braced (EBF) | High-seismic, ductile | Medium-high | Very high (link beam yields) | Open at link, framed elsewhere |
| Buckling-restrained (BRBF) | High-seismic, performance-based | High | Highest (symmetric T/C yield) | Same as X but with mortar sleeve |
| Lateral bracing (beam) | Compression-flange restraint | n/a (member-level) | n/a | Concealed in slab/deck |
| Truss bracing | Top-chord compression | High (in-plane) | Low | Concealed in roof framing |
- Identify the lateral loads Quantify wind (ASCE 7 Chapter 26–30) and seismic (ASCE 7 Chapter 11–13) base shears. Bracing is sized for the larger of the two factored cases. Note location, occupancy category, and site class — they cascade through to bracing demand.
- Pick a bracing system X-braced (most common, two diagonals form a cross), K-braced (mid-height connection — prohibited for SCBF in seismic), V or inverted-V (chevron, common in seismic SCBF), eccentrically braced (EBF — diagonals connect at a "link" beam segment that yields in shear), or buckling-restrained (BRBF — sleeved braces that yield in tension and compression).
- Compute brace axial force For an X-brace at angle θ to horizontal: P_brace = V_story / (n · cos θ), where V is the story shear and n is the number of braces resisting it. A 60° brace is more efficient than a 45° (smaller force) but takes a longer member.
- Size the brace member KL/r ≤ 200 for tension-only or 4·√(E/Fy) for SCBF compression members (AISC 341 §F2.5b — about KL/r ≤ 100 for A992 steel). HSS round or square tubes give the best radius of gyration per pound; use AISC Manual Part 4 to pick.
- Detail the connections Gusset plates per AISC Manual Part 13: weld or bolt the brace ends with capacity ≥ 1.1·R_y·F_y·A_g for SCBF (capacity-design rule). For tension-only X-braces in wind frames, a simpler bolted gusset designed for the factored brace force suffices.