Extended End Plate — Overview
The extended end plate moment connection is the most common rigid connection in European steel frames. The end plate projects beyond the beam tension flange, allowing an additional bolt row above the top flange that significantly increases the lever arm and moment capacity.
Key Features
- End plate extends 80-120 mm beyond beam flanges
- 3-4 bolt rows: 1 above tension flange, 1-2 at tension flange, 1 at compression flange
- Rigid or semi-rigid classification per EN 1993-1-8 Clause 5.2
- Suitable for moment-resisting frames in EN 1993-1-1 Clause 5.2.2.2
- Capacity range: 100-800 kNÃÂ÷m (typical IPE 300-600, S355)
The Component Method — EN 1993-1-8 Clause 6.2.3
The component method decomposes the connection into basic components, each with its own force-deformation characteristic:
| Zone | Component | Check |
|---|---|---|
| Tension | Column flange in bending | T-stub Mode 1/2/3 |
| End plate in bending | T-stub Mode 1/2/3 | |
| Bolts in tension | F_t,Rd per Table 3.4 | |
| Column web in tension | Clause 6.2.6.3 | |
| Compression | Beam flange and web in compression | M_c,Rd of beam |
| Column web in compression | Clause 6.2.6.2 | |
| Shear | Column web panel in shear | Clause 6.2.6.1 |
| Stiffness | Rotational stiffness S_j,ini | Clause 6.3.1 |
The lowest resistance of each zone is assembled into the design moment resistance M_j,Rd. This is then classified as rigid, semi-rigid, or nominally pinned per Clause 5.2.
T-Stub Model — Tension Zone (Clause 6.2.4)
The tension zone is modelled as equivalent T-stubs representing the column flange and the end plate in bending. The effective length l_eff depends on the bolt row location:
| Bolt Row Position | Circular Pattern l_eff | Non-Circular l_eff |
|---|---|---|
| Row above tension flange | 2ÃÂàÃÂàm_x | ÃÂñ ÃÂàm (from chart) |
| Inner bolt row | 2ÃÂÃÂ ÃÂÃÂ m | 4m + 1.25e |
| End bolt row (adjacent) | min(2ÃÂàÃÂàm, ÃÂàÃÂàm + 2eâÃÂÃÂ) | min(4m + 1.25e, 2m + 0.625e + eâÃÂÃÂ) |
Three Failure Modes (Table 6.2):
| Mode | Failure | Resistance F_T,Rd |
|---|---|---|
| 1 | Complete flange yielding | (4 ÃÂÃÂ M_pl,1,Rd) / m |
| 2 | Bolt failure + flange yielding | (2 ÃÂàM_pl,2,Rd + n ÃÂàÃÂãF_t,Rd) / (m + n) |
| 3 | Pure bolt failure | ÃÂãF_t,Rd |
Mode 1 is ductile and preferred. Mode 3 is brittle — increase end plate thickness or reduce bolt spacing to force Mode 1 or 2.
Column Web Panel Shear — Clause 6.2.6.1
The column web panel resists the shear developed by the moment couple between the tension and compression forces. For a double-sided connection:
V_wp,Ed = (M_b1,Ed / z_1) + (M_b2,Ed / z_2) - V_c,Ed
Where z is the lever arm and V_c,Ed is the column shear at the joint.
Design resistance (unstiffened):
V_wp,Rd = 0.9 ÃÂàf_y,wc ÃÂàA_vc / (âÃÂÃÂ3 ÃÂàÃÂó_M0)
| Column Section | A_vc (mmÃÂò) | V_wp,Rd S355 (kN) |
|---|---|---|
| HEB 200 | 2480 | 457 |
| HEB 240 | 3320 | 612 |
| HEB 260 | 3830 | 706 |
| HEB 300 | 4730 | 872 |
If V_wp,Rd is insufficient, provide supplementary web plates (doubler plates) or diagonal stiffeners.
Worked Example — IPE 400 Extended End Plate to HEB 260
| Parameter | Value |
|---|---|
| Beam | IPE 400, S355 |
| Column | HEB 260, S355 |
| End plate | 480 ÃÂÃÂ 200 ÃÂÃÂ 20 mm extended, S355 |
| Bolts | 6 ÃÂÃÂ M24 10.9 (3 rows ÃÂÃÂ 2) |
| Row 1 (above top flange) | 2 bolts at 55 mm above |
| Row 2 (at top flange) | 2 bolts at 35 mm below |
| Row 3 (at bottom flange) | 2 bolts at 35 mm above (compression) |
| M_pl,Rd (beam) | 488.5 kNÃÂ÷m |
Step 1 — T-Stub Resistance per Bolt Row
Row 1 (extended, above tension flange): m = 40 mm, e = 45 mm, n = min(1.25 ÃÂà40, 45) = 45 mm M_pl,Rd per unit length = 0.25 ÃÂà20ÃÂò ÃÂà355 / 1.00 = 35,500 NÃÂ÷mm/mm
l_eff (non-circular) for individual bolt row = 2 ÃÂÃÂ (ÃÂÃÂ ÃÂÃÂ 40 + 45) = 341 mm
Mode 1: F_T1,Rd = 4 ÃÂÃÂ 35,500 ÃÂÃÂ 341 / (40 ÃÂÃÂ 1000) = 1,211 kN Mode 2: F_T2,Rd = (2 ÃÂÃÂ 35,500 ÃÂÃÂ 341 + 45 ÃÂÃÂ 2 ÃÂÃÂ 203.3) / ((40 + 45) ÃÂÃÂ 1000) = 312 kN Mode 3: F_T3,Rd = 2 ÃÂÃÂ 203.3 = 406.6 kN (F_t,Rd M24 10.9 = 203.3 kN per bolt)
Row 1 governs at Mode 2: F_T,Rd = 312 kN
Row 2 (inner row): Mode 2 governs similarly: F_T,Rd âÃÂà298 kN
Step 2 — Bolt Row Force Distribution
The total tension force must equal the compression force:
ÃÂãF_T,Rd = F_T,Rd,row1 + F_T,Rd,row2 = 312 + 298 = 610 kN
Lever arm z = distance from compression flange centre to tension force centroid: z = (312 ÃÂÃÂ 455 + 298 ÃÂÃÂ 385) / 610 = 420.8 mm
Step 3 — Moment Resistance
M_j,Rd = ÃÂãF_T,Rd ÃÂàz = 610 ÃÂà0.4208 = 256.7 kNÃÂ÷m
Step 4 — Column Web Panel Shear Check
V_wp,Ed for single-sided connection (no opposite beam): V_wp,Ed = M_j,Rd / z = 256.7 / 0.4208 = 610 kN
V_wp,Rd (HEB 260, S355) = 706 kN > 610 kN — OK (no doubler plate required)
Step 5 — Connection Classification
Per EN 1993-1-8 Clause 5.2.2:
- Rigid if S_j,ini âÃÂÃÂ¥ 25 ÃÂàEI_b / L_b
- For a 6 m beam span: S_j,ini = 65,000 kNÃÂ÷m/rad > 25 ÃÂà210,000 ÃÂà23,130 ÃÂà10âÃÂô / 6000 = 20,165 kNÃÂ÷m/rad — Classified as RIGID
Stiffener Requirements
Column Web Stiffeners in Tension (Clause 6.2.6.3)
Transverse stiffeners are required when the column web tension resistance is less than the applied flange force:
F_t,wc,Rd = ÃÂàÃÂàb_eff,t,wc ÃÂàt_wc ÃÂàf_y,wc / ÃÂó_M0
If F_t,wc,Rd < F_T,Rd (total tension from bolt rows), provide full-depth stiffeners.
Column Web Stiffeners in Compression (Clause 6.2.6.2)
Required when the column web crushing resistance is insufficient:
F_c,wc,Rd = ÃÂàÃÂàk_wc ÃÂàb_eff,c,wc ÃÂàt_wc ÃÂàf_y,wc / ÃÂó_M0
Practical Rules for HEB Columns with IPE Beams
| Beam Depth / Column Depth | Stiffeners Usually Required? | Typical Configuration |
|---|---|---|
| < 0.60 | No | Unstiffened column |
| 0.60 âÃÂà0.75 | Check required | Web stiffeners if utilization > 0.9 |
| > 0.75 | Yes | Full-depth stiffeners both sides |
For IPE 400 (400 mm deep) to HEB 260 (260 mm deep): ratio = 1.54 > 0.75 — stiffeners required.
Frequently Asked Questions
What is the difference between flush and extended end plate moment connections?
A flush end plate terminates at the beam flange levels (plate depth equals beam depth), while an extended end plate projects beyond the beam tension flange by 80-120 mm. The extension accommodates an additional bolt row above the top flange, increasing the internal lever arm by 15-30% and the moment capacity by 40-70%. Extended end plates are used for rigid moment frames; flush end plates suit semi-rigid frames or smaller moments.
How does the component method differ from traditional moment connection design?
The component method (EN 1993-1-8 Clause 6.2.3) decomposes the connection into independent basic components (column flange, end plate, bolts, column web), determines each component's resistance and stiffness, and assembles them into a bi-linear or tri-linear moment-rotation curve. Traditional methods treat the connection as a single entity with empirical formulas. The component method provides a consistent, mechanics-based approach valid for any configuration and allows optimization of individual components.
When are column web doubler plates needed for extended end plate connections?
Column web doubler plates (supplementary web plates) are needed when the column web panel shear resistance V_wp,Rd is less than the shear demand from the moment couple. Per Clause 6.2.6.1, the shear area is increased by adding a plate welded to the column web. The doubler plate thickness is typically 0.6-0.8 ÃÂÃÂ column web thickness. As a rule, for single-sided extended end plate connections where the beam depth exceeds the column depth, doubler plates are almost always required.
What is the rotational stiffness classification per EN 1993-1-8?
EN 1993-1-8 Clause 5.2.2 classifies connections by stiffness: rigid (S_j,ini âÃÂÃÂ¥ k_b ÃÂàEI/L_b where k_b = 8 for braced frames or 25 for unbraced), semi-rigid (0.5EI/L_b < S_j,ini < k_b ÃÂàEI/L_b), and nominally pinned (S_j,ini âÃÂä 0.5EI/L_b). Extended end plate connections to column flanges with 20+ mm end plates and preloaded bolts typically achieve rigid classification for braced frames. For unbraced (sway) frames, rigid classification is harder to achieve and may require thicker plates or haunched beams.
Related Pages
- EN 1993 End Plate Connection âÃÂà— T-stub model and flush end plates
- EN 1993 Shear Connection âÃÂà— Fin plate and web cleat
- EN 1993 Moment Frame âÃÂà— Moment frame design
- EN 1993 Bolt Torque Chart âÃÂà— EN 14399 preload values
- All European References âÃÂÃÂ
Educational reference only. Design per EN 1993-1-8:2005 Clause 6.2 and Table 6.2. T-stub effective lengths per Clause 6.2.4. Bolt row forces per Clause 6.2.7. Verify all components independently. Results are PRELIMINARY — NOT FOR CONSTRUCTION without independent verification by a qualified structural engineer.
Design Resources
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- End Plate Moment Connection Calculator
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Design guides
- EN 1993-1-8 Bolted Connection Worked Example
- Moment Connection Worked Example
- Bolted Connection Checklist
- Beam Design Worked Example
- Steel Connection Calculator Guide
Reference pages