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Reference · Structural · AISC 360 · AISC 341 · ASCE 7

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.

SIX BRACING SYSTEMS · LATERAL-LOAD PATH X-BRACING CBF · most common K-BRACING seismic-prohibited V / CHEVRON SCBF common ECCENTRIC (EBF) link beam yields LATERAL DIAG. tension-only OK KNEE BRACING truss-like / corners lateral load (wind / seismic) yielding "link" segment (EBF)
Figure 1 — Six common bracing systems with the lateral-load path indicated. AISC 341 governs seismic SCBF / EBF / BRBF.

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

Eq. 01 — Brace axial force from story shear (X-brace) SI
Pbrace=VstoryncosθP_{brace} = \frac{V_{story}}{n \cdot \cos \theta}
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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)
Eq. 02 — Slenderness limit (compression brace) SI
KLr200 (general)or4EFy (SCBF)\frac{K \, L}{r} \leq 200 \text{ (general)} \quad \text{or} \quad \leq 4 \sqrt{\frac{E}{F_y}} \text{ (SCBF)}
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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
Eq. 03 — Required brace stiffness (AISC App 6) SI
βbr=1ϕ4MrLbhoCd\beta_{br} = \frac{1}{\phi} \cdot \frac{4 \, M_r}{L_b \, h_o \, C_d}
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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
Eq. 04 — Required brace strength (AISC App 6) SI
Pbr=0.02MrCd/hoP_{br} = 0.02 \, M_r \, C_d \, / \, h_o
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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

DocumentScope
ASCE 7-22Wind (Chapters 26–30) and seismic (Chapters 11–13) loads — sets the lateral demand bracing must resist
AISC 360-22 — Appendix 6Stability bracing — stiffness and strength requirements for both relative and nodal bracing
AISC 341-22Seismic Provisions — SCBF (special concentrically braced frame), OCBF, EBF, BRBF, SMF design
AISC 360 §F2.2Lateral-torsional buckling of doubly-symmetric beams — Lp / Lr / Mn equations
ANSI/AWC NDS-2018Wood-frame bracing — let-in 1× braces, metal T-braces, diagonal lumber
IBC 2021 §2308Conventional light-frame wood construction bracing requirements (braced wall lines)
AWC SDPWS-2021Special Design Provisions for Wind and Seismic — wood diaphragms and shear walls

Reference: bracing system selection by application

Bracing typeBest forStiffnessDuctilityArchitectural impact
X-bracing (cross)Wind frames; low-seismicHighLow (tension-only)Blocks both directions of bay
K-bracingWind only — prohibited for seismic SCBFHighVery low (column hinge)Allows door at mid-bay
V / inverted-V (chevron)Seismic SCBFHighMediumAllows door under chevron point
Eccentrically braced (EBF)High-seismic, ductileMedium-highVery high (link beam yields)Open at link, framed elsewhere
Buckling-restrained (BRBF)High-seismic, performance-basedHighHighest (symmetric T/C yield)Same as X but with mortar sleeve
Lateral bracing (beam)Compression-flange restraintn/a (member-level)n/aConcealed in slab/deck
Truss bracingTop-chord compressionHigh (in-plane)LowConcealed in roof framing
  1. 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.
  2. 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).
  3. 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.
  4. 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.
  5. 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.