----------- | :-------- | :------------------------- | :---------------------- | | HSS round | CHS | Slot into gusset or welded | MD (moderately ductile) | | HSS rectangular | RHS | Slot into gusset or welded | MD | | W-shape | Universal | Bolted gusset or welded | LD (limited ductility) | | Double angle | 2L | Bolted to gusset each side | LD | | Single angle | L | Bolted to gusset | Conventional | | WT (tee) | WT | Bolted or welded | LD |
Gusset Plate Detailing for Seismic
Per CSA S16 Clause 27.5.4, for ductile brace connections:
2tp Clearance Rule
The gusset plate must have 2 ÃÂÃÂ tp clearance from the brace end to the beam or column face:
- This allows the brace to rotate out of plane at the yield/fold line without engaging the gusset edge
- The fold line forms at the end of the gusset plate where the yield line develops
- Without this clearance, the gusset edge would prematurely tear during brace buckling
Corner Clip Details
For gusset plates connecting to both beam and column:
- Provide 2tp corner clip at the beam-column-gusset intersection
- This prevents triaxial restraint at the re-entrant corner
- Allows the yield line to form cleanly at the gusset-to-beam/column interface
Brace Slenderness Limits
Per CSA S16:24 Table 27:
| Ductility Category | KL/r_max (HSS) | KL/r_max (W-shape) | b/t_max (HSS) |
|---|---|---|---|
| Moderately ductile (MD) | 100 | 120 | 145/sqrt(Fy) |
| Limited ductility (LD) | 120 | 150 | 170/sqrt(Fy) |
| Conventional | 200 | 200 | 200/sqrt(Fy) |
Gusset-to-Brace Connection
Welded Connection (HSS Brace)
For HSS braces welded directly to the gusset:
Weld design force: P_weld = T_b (full brace yield force as a minimum)
The slot weld at the HSS-to-gusset interface uses fillet welds along both sides of the gusset tongue:
| HSS Section | Gusset tp | Weld Size | Weld Length (each side) | Capacity (E48XX) |
|---|---|---|---|---|
| HSS 89ÃÂÃÂ89ÃÂÃÂ6 | 10 mm | 6 mm | 200 mm | 2 ÃÂÃÂ 200 ÃÂÃÂ 0.915 = 366 kN |
| HSS 127ÃÂÃÂ127ÃÂÃÂ8 | 12 mm | 8 mm | 250 mm | 2 ÃÂÃÂ 250 ÃÂÃÂ 1.220 = 610 kN |
| HSS 152ÃÂÃÂ152ÃÂÃÂ10 | 16 mm | 10 mm | 300 mm | 2 ÃÂÃÂ 300 ÃÂÃÂ 1.525 = 915 kN |
| HSS 178ÃÂÃÂ178ÃÂÃÂ8 | 16 mm | 10 mm | 300 mm | 2 ÃÂÃÂ 300 ÃÂÃÂ 1.525 = 915 kN |
Bolted Connection (W-Shape or Double Angle Brace)
For bolted brace connections, the bolt group is designed for:
- Brace force (direct tension or compression)
- Eccentricity from gusset-to-brace centroid offset
- Slip-critical if subjected to stress reversal
Worked Example — HSS Brace to Gusset Connection
Given: HSS 127ÃÂÃÂ127ÃÂÃÂ8 brace (350W, Fy = 350 MPa, Fu = 450 MPa). Brace length = 6.0 m, pinned at both ends (K = 1.0). Factored compressive force Cf = 450 kN (MD brace in CBF).
Step 1 — Brace Section Properties: A = 3,710 mm^2 (for HSS 127ÃÂÃÂ127ÃÂÃÂ8) r = 48.2 mm KL/r = 1.0 ÃÂÃÂ 6000 / 48.2 = 124.5
Step 2 — Brace Compression Capacity: For HSS, n = 2.24 lambda = 124.5 ÃÂÃÂ sqrt(350 / (pi^2 ÃÂÃÂ 200,000)) = 124.5 ÃÂÃÂ 0.01332 = 1.658 Cr = 0.90 ÃÂÃÂ 3,710 ÃÂÃÂ 350 ÃÂÃÂ (1 + 1.658^(2ÃÂÃÂ2.24))^(-1/2.24) Cr = 0.90 ÃÂÃÂ 3,710 ÃÂÃÂ 350 ÃÂÃÂ (1 + 8.45)^(-0.446) = 1,168,650 ÃÂÃÂ 0.374 = 437 kN
Cf = 450 âÃÂä Cr = 437 kN. Ratio = 1.03. Marginal — increase section to HSS 127ÃÂÃÂ127ÃÂÃÂ10 (A = 4,570 mm^2, r = 47 mm).
Step 3 — Connection Design Force: Design force = 1.25 ÃÂÃÂ brace capacity = 1.25 ÃÂÃÂ 437 = 546 kN (Use overstrength for connection design, even though brace is slightly overstressed).
Step 4 — Gusset Plate: Try 12 mm plate, 350W. Whitmore width: assume L_b = 220 mm, w_g = 2 ÃÂà70 = 140 mm L_w = 2 ÃÂà220 ÃÂàtan(30ÃÂð) + 140 = 2 ÃÂà220 ÃÂà0.577 + 140 = 254 + 140 = 394 mm Ag = 394 ÃÂà12 = 4,728 mm^2 Tr = 0.90 ÃÂà4,728 ÃÂà350 / 1000 = 1,489 kN âÃÂÃÂ¥ 546 kN. OK.
Step 5 — Brace-to-Gusset Weld: 6 mm fillet, E48XX, both sides, length = 250 mm each side. Vr_weld = 2 ÃÂà250 ÃÂà0.915 = 458 kN < 546 kN. NOT OK. Try 8 mm fillet: Vr_weld = 2 ÃÂà250 ÃÂà1.220 = 610 kN âÃÂÃÂ¥ 546 kN. OK.
Result: 12 mm gusset plate, 8 mm fillet weld both sides (250 mm long), E48XX electrodes. HSS 127ÃÂÃÂ127ÃÂÃÂ10, 350W. Gusset connection designed for 546 kN (1.25 ÃÂÃÂ brace compressive capacity per CSA S16 Clause 27.5.3.2).
EBF Link Connection
For eccentrically braced frames (EBF), the brace-to-link connection is critical:
- Link Beam: The link is the ductile fuse — must be designed for Mp_link and Vp_link
- Brace-to-Link Connection: Must develop 1.25 ÃÂÃÂ brace factored resistance
- Link Stiffeners: Per CSA S16 Clause 27.6, intermediate stiffeners at spacing depending on link length
- End Connections: Brace-to-link and link-to-column must be CJP welded for shear link
Frequently Asked Questions
What is the 2tp clearance rule in gusset plate detailing? Per CSA S16 Clause 27.5.4, the gusset plate must provide a clearance of 2 ÃÂÃÂ tp between the brace end and the beam/column face. This allows the brace to undergo out-of-plane buckling rotation at the yield/fold line that forms at the edge of the gusset-to-beam/column weld. Without this clearance, the gusset could tear during brace buckling.
What is the brace overstrength factor for CSA S16 seismic connections? Per CSA S16:24 Clause 27.5.3.2, the connection must be designed for 1.25 times the factored brace resistance. This ensures the connection remains elastic while the brace reaches its expected inelastic capacity. For MD braces, this factor accounts for: material overstrength (actual steel yield > specified minimum), strain hardening, and the difference between factored design load and expected brace capacity.
What are the slenderness limits for moderately ductile (MD) braces in CSA S16? Per CSA S16 Table 27: KL/r âÃÂä 100 for HSS braces and âÃÂä 120 for W-shape braces in MD frames. The HSS width-to-thickness limit is 145/sqrt(Fy). For 350W steel: b/t âÃÂä 7.75. For HSS 127ÃÂÃÂ127ÃÂÃÂ8: b/t = 127/8 = 15.9 — wait, this is the flat width. The actual limit for HSS is applied to the flat width (b-4t)/t. For HSS 127ÃÂÃÂ127ÃÂÃÂ8: (127-32)/8 = 11.9 > 7.75. So HSS 127ÃÂÃÂ127ÃÂÃÂ8 is NOT Class 1 for 350W in axial compression — need HSS 127ÃÂÃÂ127ÃÂÃÂ10 or higher strength steel.
How is a brace connection different for LD vs MD braced frames? In Limited Ductility (LD) frames, the connection design force is 1.1 ÃÂÃÂ brace resistance (lower overstrength) and gusset plate detailing is less stringent — the 2tp clearance is still recommended but not mandatory. In Moderately Ductile (MD) frames, the connection force is 1.25 ÃÂÃÂ brace resistance, the 2tp clearance is mandatory, and the gusset plate fold line must be detailed to allow brace rotation without tearing.
Related Pages
- CSA S16 Gusset Plate Design
- CSA S16 Braced Frame Design
- CSA S16 Moment Frame Design
- Canadian Seismic Design
- CSA S16 Weld Capacity
- HSS Section Properties
- All Canadian References
This page is for educational reference. Brace connection per CSA S16:24 Clauses 27.5-27.6. Verify brace slenderness limits for the applicable ductility category. Confirm gusset plate and brace connection capacities against the current CISC Handbook of Steel Construction (Part 4 — Connections, Tables 4-45 through 4-52). Results are PRELIMINARY — NOT FOR CONSTRUCTION without independent PE/SE verification.
Design Resources
Calculator tools
- Bolted Connection Calculator
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- End Plate Moment Connection Calculator
- Fin Plate Shear Connection Calculator
- Gusset Plate Calculator
Design guides
- Bolted Connection Worked Example
- Bolted Connection Checklist
- Steel Connection Calculator Guide
- Weld Design Checklist
- EN 1993-1-8 Bolted Connection Worked Example
Reference pages