Braced Frame Configurations

Configuration Brace Arrangement EN 1998-1 Advantages Disadvantages
Cross-bracing (X) Diagonal pairs DCM, DCH High stiffness, ductile Blocks openings
Chevron (V) Braces meet at beam DCM only Open bay below Beam carries unbalanced force
Inverted-V Braces below beam DCM only Open bay above Beam unbalanced load
K-bracing Braces at column mid-height NOT permitted Column buckling risk
Tension-only (X) Slender rods Not recommended Simple, economical Low stiffness

K-bracing is not permitted in seismic design (EN 1998-1 Cl. 6.7.1) because brace buckling induces large moments at column mid-height, risking column failure.


Behaviour Factors q for CBF (EN 1998-1 Table 6.2)

Ductility Class q Factor Brace Section Slenderness
DCM (medium) 4.0 Class 1, 2, or 3 bar_lambda <= 2.0
DCH (high) 4.0 Class 1 only 1.3 <= bar_lambda <= 2.0
Low ductility 1.5 Any class Any

For DCH, braces must have bar_lambda >= 1.3 to ensure ductile behaviour (yield in tension before buckling).


Capacity Design (EN 1998-1 Cl. 6.7.4)

Connections and adjacent members must resist the overstrength brace force:

N_ov,Rd = 1.1 x gamma_ov x N_pl,Rd,brace

Where gamma_ov = 1.25 (material overstrength), 1.1 = strain-hardening factor.


Worked Example — 3-Storey CBF with HEA 200 Braces

3 storeys at 4.0 m, 3 bays at 6.0 m. X-bracing both directions. S355, HEA 200. DCM, q = 4.0.

Storey N_Ed (kN) HEA 200 N_pl,Rd (kN) bar_lambda Governing
Roof 180 2128 1.8 Tension
3rd 420 2128 1.8 Tension
2nd 650 2128 1.8 Tension

Overstrength connection design: N_ov,Rd = 1.1 x 1.25 x 2128 = 2926 kN

Storey Drift (mm) Ratio Limit (H/200)
Roof 18 1/222 OK
3rd 22 1/182 FAIL
2nd 24 1/167 FAIL

Drift failure means increased brace size or additional braced bay required.


Brace Section Selection Guide

Brace Force (kN) Recommended Section Typical bar_lambda
< 300 CHS 88.9x5 1.5-2.0
300-600 CHS 139.7x8 1.3-1.8
600-1000 HEA 240 / CHS 168.3x10 1.3-1.6
1000-1500 HEB 260 / CHS 219.1x12 1.0-1.4
> 1500 HEB 300+ / built-up 0.8-1.3

Design Applications

Common Design Scenarios

This reference covers structural design scenarios commonly encountered in structural steel design practice:

Related Design Considerations

Worked Example

Problem: Verify a typical steel member for the following conditions:

Typical span: 6.0 m | Load: service loads per applicable code | Section: common section in this category

Design Check:

  1. Determine governing load combination (ULS or SLS per EN 1990)
  2. Calculate maximum internal forces (moment, shear, axial)
  3. Compute nominal capacity per code provisions
  4. Apply resistance/safety factors
  5. Verify interaction if combined forces exist

Result: Use the results from the Steel Calculator tool to verify design adequacy.

Design Applications

Common Design Scenarios

This reference covers structural design scenarios commonly encountered in structural steel design practice:

Related Design Considerations

Worked Example

Problem: Verify a typical steel member for the following conditions:

Typical span: 6.0 m | Load: service loads per applicable code | Section: common section in this category

Design Check:

  1. Determine governing load combination (ULS or SLS per EN 1990)
  2. Calculate maximum internal forces (moment, shear, axial)
  3. Compute nominal capacity per code provisions
  4. Apply resistance/safety factors
  5. Verify interaction if combined forces exist

Result: Use the results from the Steel Calculator tool to verify design adequacy.

Frequently Asked Questions

What European Standard governs structural steel design?

EN 1993 (Eurocode 3: Design of Steel Structures) is the primary standard for structural steel design in Europe. EN 1993-1-1 covers general rules for buildings, EN 1993-1-8 addresses connection design, and EN 1993-1-2 covers fire design. The standard uses limit state design with partial safety factors (γM). National Annexes adapt parameters to each member state. Companion standards include EN 10025 for hot-rolled products, EN 1090 for execution, and EN 1994 for composite design.

What are the common steel grades used in European construction?

The most common steel grades for European construction are S235, S275, S355, S420, and S460 per EN 10025-2. S355 (minimum yield 355 MPa for t ≤ 16 mm) is the most widely used for structural applications. S275 is used for secondary members. S420 and S460 are quenched and tempered high-strength steels for weight-critical applications. Weathering steel (S355J2W) and fine-grain structural steels (EN 10025-3 and -4) are also available.

How does EN 1993 compare to other international steel design codes?

EN 1993, AISC 360 (US), AS 4100 (Australia), and CSA S16 (Canada) all use limit states design principles but differ in key details. EN 1993 uses partial safety factors (γM0 = 1.00, γM1 = 1.00, γM2 = 1.25) rather than resistance factors (φ). Buckling curves in EN 1993 follow the European Column Curve system (a0 to d) with 5 distinct curves, compared to AISC's single curve. EN 1993-1-8 has comprehensive connection design provisions including the component method for moment connections.

Frequently Asked Questions

Key differences between DCM and DCH for CBF?

DCM: braces Class 1-3, bar_lambda <= 2.0, pinned beam-to-column joints acceptable. DCH: braces must be Class 1, bar_lambda 1.3-2.0, beam-to-column joints must be rigid or specifically detailed. Both use q = 4.0.

Why is K-bracing prohibited in seismic design?

K-bracing (per EN 1998-1 Cl. 6.7.1) induces unbalanced horizontal force at column mid-height when one brace buckles, causing large bending moments and potential column plastic hinging. Only X, V, and inverted-V bracing permitted.


Related Pages


Educational reference only. CBF design per EN 1993-1-1:2005 and EN 1998-1:2004. Verify National Annex. Results are PRELIMINARY - NOT FOR CONSTRUCTION without independent verification.

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