Joint Configurations — EN 1993-1-8 Chapter 7
Hollow section joints are classified by the load path geometry. The brace members transfer axial forces (tension or compression) to the chord, which distributes the load through chord wall mechanisms.
| Joint Type | Geometry | Primary Failure Modes | Typical Application |
|---|---|---|---|
| T-joint | One brace perpendicular to chord | Chord face plastification, side wall buckling | Truss ends, secondary members |
| Y-joint | One brace at an angle to chord (30ÃÂðâÃÂÃÂ60ÃÂð) | Chord face plastification, punching shear | Warren truss ends |
| K-joint (gap) | Two braces, gap between them on chord face | Chord face plastification, chord shear | Warren truss interior joints |
| N-joint (gap) | Like K-joint, braces at different angles | Chord face plastification, chord shear | Pratt truss interior joints |
| K-joint (overlap) | Two braces overlapping on chord face | Brace effective width criterion | Dense truss joints |
| X-joint | Two braces opposite each other through chord | Chord side wall buckling, chord face | Cross bracing, vierendeel frames |
| KT-joint | Three braces meeting at same chord face | Combined modes | Multiple-member truss intersections |
Key Geometric Parameters
Per EN 1993-1-8 Table 7.1, the joint capacity depends on dimensionless geometric ratios:
| Parameter | Definition | CHS Range | RHS Range |
|---|---|---|---|
| ÃÂò | d_1/d_0 or b_1/b_0 (brace-to-chord width ratio) | 0.2 âÃÂä ÃÂò âÃÂä 1.0 | 0.35 âÃÂä ÃÂò âÃÂä 1.0 |
| ÃÂó | d_0/(2t_0) or b_0/(2t_0) (chord slenderness) | âÃÂä 50 | 10 âÃÂä ÃÂó âÃÂä 35 |
| 2ÃÂó = d_0/t_0 or b_0/t_0 | Chord diameter/width to thickness | âÃÂä 50 | 10 âÃÂä 2ÃÂó âÃÂä 35 |
| ÃÂà| t_1/t_0 (brace-to-chord thickness ratio) | 0.2 âÃÂä ÃÂàâÃÂä 1.0 | 0.25 âÃÂä ÃÂàâÃÂä 1.0 |
| ÃÂø | Angle between brace and chord | 30ÃÂð âÃÂä ÃÂø âÃÂä 90ÃÂð | 30ÃÂð âÃÂä ÃÂø âÃÂä 90ÃÂð |
| g | Gap between brace toes on chord face | g âÃÂÃÂ¥ t_1 + t_2 | g âÃÂÃÂ¥ t_1 + t_2 |
Joints outside these validity ranges require special justification or are outside the scope of EN 1993-1-8 Chapter 7.
Failure Modes for RHS Joints
Mode A — Chord Face Plastification (Clause 7.4.1)
The most common failure mode for RHS joints with moderate ÃÂò ratios (0.35âÃÂÃÂ0.85). The chord face deforms plastically under the brace axial force.
For T and Y joints: N_1,Rd = (k_n ÃÂàf_y0 ÃÂàt_0ÃÂò / sinÃÂø_1) ÃÂà(2ÃÂò / (1 âÃÂàÃÂò) + 4 / âÃÂÃÂ(1 âÃÂàÃÂò)) / ÃÂó_M5
Where k_n = 1.0 for chord face in tension, or k_n = 1.3 âÃÂà0.4n/ÃÂò (âÃÂä 1.0) for compression chord with stress ratio n = ÃÂÃÂ_0,Ed / f_y0.
For K and N gap joints: N_1,Rd = (k_n ÃÂàf_y0 ÃÂàt_0ÃÂò / sinÃÂø_1) ÃÂà(14ÃÂòÃÂó^0.5) / ÃÂó_M5
Mode B — Chord Side Wall Buckling (Clause 7.4.2)
Governs for RHS joints with ÃÂò close to 1.0, where the brace is nearly as wide as the chord and loads the chord side walls directly.
For T, Y, and X joints: N_1,Rd = (f_b ÃÂàt_0 / sinÃÂø_1) ÃÂà(2t_1 + 10t_0) / ÃÂó_M5
Where f_b = ÃÂàÃÂàf_y0 with ÃÂàfrom buckling curve a (EN 1993-1-1 Clause 6.3.1.1 for the chord side wall as a strut). Effective length = 3.46 ÃÂà(h_0/sinÃÂø_1 âÃÂà2t_0).
Mode C — Brace Punching Shear (Clause 7.4.3)
Critical for joints with thin chord faces and small brace angles. The brace perimeter punches through the chord face.
N_1,Rd = (f_y0 / âÃÂÃÂ3) ÃÂàt_0 ÃÂà(2h_1/sinÃÂø_1 + 2b_e,p) / (sinÃÂø_1 ÃÂàÃÂó_M5)
Where b_e,p is the effective punching shear perimeter width per Clause 7.4.3(2).
Mode D — Chord Shear Failure (Clause 7.4.4)
Governs in K-gap joints with high brace forces and small gap. The chord cross-section shears between the brace toes.
N_0,Rd = 0.9 ÃÂàf_y0 ÃÂàA_v,0 / (âÃÂÃÂ3 ÃÂàÃÂó_M5)
For RHS chords: A_v,0 = (2h_0 + ÃÂñ ÃÂàb_0) ÃÂàt_0 with ÃÂñ = 1 / (1 + 4gÃÂò/(3t_0ÃÂò)).
CHS Joint Design — CIDECT Design Guide No. 8
CHS T- and Y-Joints
Chord face plastification controls for most CHS joints: N_1,Rd = (f_y0 ÃÂàt_0ÃÂò / sinÃÂø_1) ÃÂà(2.8ÃÂò + 14.2ÃÂòÃÂò) ÃÂàk_p ÃÂàk_a / ÃÂó_M5
Where k_p accounts for chord prestress and k_a accounts for the gap between chord and brace welds.
CHS K-Gap Joints
The standard truss joint configuration: N_1,Rd = (f_y0 ÃÂàt_0ÃÂò / sinÃÂø_1) ÃÂà(1.8 + 10.2 ÃÂàd_1/d_0) ÃÂàk_g ÃÂàk_p / ÃÂó_M5
Where k_g = ÃÂó^0.2 ÃÂà(1 + 0.024ÃÂó^1.2 / (1 + e^(0.5g/t_0 âÃÂà1.33))), accounting for the gap effect on chord plastification.
Worked Example — RHS K-Gap Joint
| Parameter | Symbol | Chord | Brace 1 | Brace 2 | Unit |
|---|---|---|---|---|---|
| Section | — | RHS 200ÃÂÃÂ100ÃÂÃÂ8 | RHS 120ÃÂÃÂ80ÃÂÃÂ6.3 | RHS 100ÃÂÃÂ60ÃÂÃÂ5 | — |
| Steel grade | — | S355J2H | S355J2H | S355J2H | — |
| Angle to chord | ÃÂø | — | 50ÃÂð | 45ÃÂð | deg |
| Gap | g | — | — | 35 | mm |
| Axial force | N_Ed | âÃÂÃÂ240 (comp) | 180 (tens) | 150 (comp) | kN |
Step 1 — Validity Check
| Parameter | Value | Limit | Status |
|---|---|---|---|
| ÃÂò = b_1/b_0 | 120/200 = 0.60 | 0.35âÃÂÃÂ1.0 | OK |
| 2ÃÂó = b_0/t_0 | 200/8 = 25 | 10âÃÂÃÂ35 | OK |
| ÃÂà= t_1/t_0 | 6.3/8 = 0.79 | 0.25âÃÂÃÂ1.0 | OK |
| b_1/t_1 (brace) | 120/6.3 = 19.0 | âÃÂä 35 (S355) | OK |
| b_0/t_0 (chord) | 200/8 = 25.0 | âÃÂä 35 (S355) | OK |
| g/t_0 | 35/8 = 4.4 | âÃÂÃÂ¥ 0.5(1âÃÂÃÂÃÂò) = 0.2 | OK |
Step 2 — Chord Face Plastification (Mode A)
k_n = 1.3 âÃÂà0.4 ÃÂà|240|/(355 ÃÂà4,660 ÃÂà8/1000) / 0.60 (simplified: stress ratio n < 0, tension chord face âÃÂàk_n = 1.0 at the tension brace side)
N_1,Rd = (1.0 ÃÂà355 ÃÂà8ÃÂò / sin50ÃÂð) ÃÂà(14 ÃÂà0.60 ÃÂà25^0.5) / 1.00 = (355 ÃÂà64 / 0.7660) ÃÂà(14 ÃÂà0.60 ÃÂà5.0) / 1.00 = 29,660 ÃÂà(42.0) / 1.00 = 1,245,700 N = 1,245.7 kN
Brace utilisation: 180 / 1,245.7 = 0.144 — OK (14.4%)
Step 3 — Chord Shear (Mode D)
For the K-gap joint, chord shear between the braces: A_v,0 = (2h_0 + ÃÂñ ÃÂàb_0) ÃÂàt_0 with ÃÂñ = 1 / (1 + 4 ÃÂà35ÃÂò / (3 ÃÂà8ÃÂò)) = 1 / (1 + 4,900/192) = 1 / 26.5 = 0.038
A_v,0 = (2 ÃÂà100 + 0.038 ÃÂà200) ÃÂà8 = (200 + 7.6) ÃÂà8 = 1,661 mmÃÂò
V_pl,Rd = 0.9 ÃÂà355 ÃÂà1,661 / (âÃÂÃÂ3 ÃÂà1.00) = 306,500 N = 306.5 kN
Brace vertical component: N_braces = 180 ÃÂàsin50ÃÂð + 150 ÃÂàsin45ÃÂð = 137.9 + 106.1 = 244.0 kN < 306.5 kN — OK (79.6%)
CIDECT Design Tables — Quick Reference
RHS K-Gap Joint — S355 Chord, ÃÂò = 0.6, g = t_1 + t_2
| Chord (mm) | Brace (mm) | N_1,Rd (kN) | Typical Span (m) |
|---|---|---|---|
| RHS 150ÃÂÃÂ100ÃÂÃÂ6.3 | RHS 90ÃÂÃÂ60ÃÂÃÂ5 | 420 | 6âÃÂÃÂ9 |
| RHS 200ÃÂÃÂ100ÃÂÃÂ8 | RHS 120ÃÂÃÂ80ÃÂÃÂ6.3 | 980 | 9âÃÂÃÂ15 |
| RHS 250ÃÂÃÂ150ÃÂÃÂ10 | RHS 150ÃÂÃÂ100ÃÂÃÂ8 | 1,680 | 15âÃÂÃÂ24 |
| RHS 300ÃÂÃÂ200ÃÂÃÂ12.5 | RHS 180ÃÂÃÂ120ÃÂÃÂ10 | 2,850 | 21âÃÂÃÂ30 |
| RHS 350ÃÂÃÂ250ÃÂÃÂ16 | RHS 200ÃÂÃÂ150ÃÂÃÂ12.5 | 4,600 | 27âÃÂÃÂ36 |
CHS K-Gap Joint — S355 Chord, ÃÂò = 0.5
| Chord OD ÃÂàt | Brace OD ÃÂàt | ÃÂø (deg) | N_1,Rd (kN) |
|---|---|---|---|
| CHS 168.3ÃÂÃÂ6.3 | CHS 88.9ÃÂÃÂ5 | 45 | 280 |
| CHS 219.1ÃÂÃÂ8 | CHS 114.3ÃÂÃÂ6.3 | 45 | 520 |
| CHS 273.0ÃÂÃÂ10 | CHS 139.7ÃÂÃÂ8 | 45 | 920 |
| CHS 323.9ÃÂÃÂ12.5 | CHS 168.3ÃÂÃÂ10 | 45 | 1,450 |
| CHS 406.4ÃÂÃÂ16 | CHS 219.1ÃÂÃÂ12.5 | 45 | 2,650 |
Capacities from CIDECT DG3 and DG8. For exact values, use the design equations with the specific joint geometry.
Frequently Asked Questions
What is the CIDECT Design Guide and how does it relate to EN 1993? CIDECT (ComitÃÂé International pour le DÃÂéveloppement et l'ÃÂÃÂtude de la Construction Tubulaire) publishes the authoritative design guides for hollow section connections. Design Guide No. 3 (RHS joints) and Design Guide No. 8 (CHS joints) form the technical basis for EN 1993-1-8 Chapter 7. The CIDECT guides provide more extensive design tables, worked examples, and practical guidance than the code alone, including joint configurations that fall outside the standard validity ranges. They also cover rectangular hollow sections not fully addressed in the EN 1993-1-8 tables. CIDECT Design Guide No. 1 covers general design guide principles, No. 2 addresses structural stability of hollow sections, and No. 9 provides guidance on concrete-filled hollow section joints.
When should overlapping joints be used instead of gap joints? Overlapping K joints (where the braces overlap each other on the chord face) are used when: (1) the gap between braces would be negative or too small to allow welding access (g < t_1 + t_2), (2) brace forces are high and chord face plastification governs in a gap configuration, or (3) architectural requirements demand a compact joint. The overlapping brace force is transferred directly through the overlapped brace weld rather than through the chord face, which can increase joint capacity by 40-80% compared to an equivalent gap joint. However, overlapping joints are more complex to fabricate (the overlapped brace must be cut to fit over the overlapping brace) and require full-strength welds between the overlapping members. Overlap should be at least 25% and preferably 50-100% for full strength transfer.
How are hollow section joints checked for combined axial force and moment? EN 1993-1-8 Clause 7.6 provides a linear interaction for joints under combined loading. For brace members under combined axial force N and bending moment M: N_Ed/N_Rd + M_ip,Ed/M_ip,Rd + M_op,Ed/M_op,Rd âÃÂä 1.0, where M_ip,Rd is the in-plane moment resistance and M_op,Rd is the out-of-plane moment resistance of the joint. The moment resistances are derived from the same failure modes as the axial resistance, using different effective width parameters. For chord members under combined axial force and moment, the chord stress utilisation factor k_n is modified to account for the axial stress ratio at the joint location. CIDECT Design Guide No. 3 provides detailed worked examples for combined loading cases.
What weld types are used for hollow section connections? Fillet welds are standard for RHS/SHS connections where the brace end is cut to fit the chord profile. The weld must be continuous around the accessible perimeter of the brace. For gaps less than 60% of the brace wall thickness, a partial-penetration butt weld may be required on the heel side of the joint to develop full brace capacity. For CHS connections, the weld detail depends on the wall thickness ratio: fillet welds for t_brace âÃÂä 8 mm and moderate ÃÂø angles; full-penetration butt welds with backing rings for thick-walled CHS and critical fatigue-loaded joints. All welds must satisfy EN 1993-1-8 Clause 4.5.3.1 with the directional method. The effective throat must be at least the brace wall thickness for a full-strength connection, or a reduced throat with proportional strength reduction may be used if validated by the component method.
Design Resources
- EN 1993 HSS Section Properties — CHS, RHS, SHS Tables
- EN 1993 Weld Capacity — Fillet and Butt Welds
- EN 1993 Beam Design — Flexure per EN 1993-1-1
- EN 1993 Compact Section Limits — Class 1âÃÂÃÂ4
- EN 1993 Steel Grade Properties — f_y and f_u Values
- EN 1993 Fatigue Design — hollow section fatigue
- All European Reference Guides
Reference only. Verify all values against the current editions of EN 1993-1-8:2005 Chapter 7, CIDECT Design Guide No. 3 (2nd Edition, 2009), and CIDECT Design Guide No. 8 (2008). Design calculations must be independently verified by a licensed Structural Engineer. This guide is for educational purposes only and does not constitute professional engineering advice.