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


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 2π × m_x α × m (from chart)
Inner bolt row 2π × m 4m + 1.25e
End bolt row (adjacent) min(2π × m, π × m + 2e₁) min(4m + 1.25e, 2m + 0.625e + e₁)

Three Failure Modes (Table 6.2):

Mode Failure Resistance F_T,Rd
1 Complete flange yielding (4 × M_pl,1,Rd) / m
2 Bolt failure + flange yielding (2 × M_pl,2,Rd + n × ΣF_t,Rd) / (m + n)
3 Pure bolt failure ΣF_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 × f_y,wc × A_vc / (√3 × γ_M0)

Column Section A_vc (mm²) 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 × 200 × 20 mm extended, S355
Bolts 6 × M24 10.9 (3 rows × 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 kN·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 × 40, 45) = 45 mm M_pl,Rd per unit length = 0.25 × 20² × 355 / 1.00 = 35,500 N·mm/mm

l_eff (non-circular) for individual bolt row = 2 × (π × 40 + 45) = 341 mm

Mode 1: F_T1,Rd = 4 × 35,500 × 341 / (40 × 1000) = 1,211 kN Mode 2: F_T2,Rd = (2 × 35,500 × 341 + 45 × 2 × 203.3) / ((40 + 45) × 1000) = 312 kN Mode 3: F_T3,Rd = 2 × 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 ≈ 298 kN

Step 2 — Bolt Row Force Distribution

The total tension force must equal the compression force:

ΣF_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 × 455 + 298 × 385) / 610 = 420.8 mm

Step 3 — Moment Resistance

M_j,Rd = ΣF_T,Rd × z = 610 × 0.4208 = 256.7 kN·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:


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 = ω × b_eff,t,wc × t_wc × f_y,wc / γ_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 = ω × k_wc × b_eff,c,wc × t_wc × f_y,wc / γ_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 – 0.75 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 × 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 ≥ k_b × EI/L_b where k_b = 8 for braced frames or 25 for unbraced), semi-rigid (0.5EI/L_b < S_j,ini < k_b × EI/L_b), and nominally pinned (S_j,ini ≤ 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


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.

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