Moment Connection Design — AISC Method & Examples
Moment connections transfer bending moment between beams and columns in steel moment frames. They are the backbone of lateral-force-resisting systems. This page covers the AISC 360 design procedure, panel zone requirements, prequalified connections, and worked examples.
How Moment Connections Work
A moment connection transfers beam flange forces into the column. The beam flanges carry the moment as a force couple:
Flange force: Ff = M / (d - tf)
where M = applied moment, d = beam depth, tf = beam flange thickness.
The connection must deliver this flange force from beam to column through welds, bolts, and plates. The column must resist the resulting forces through its panel zone, flanges, and web.
Connection Components
| Component | Function | Design Check |
|---|---|---|
| Flange connection | Transfer Ff (tension and compression) | Weld, bolt, plate capacity |
| Web connection | Transfer beam shear | Bolt shear, bearing |
| Panel zone | Resist shear from force couple | Column web shear |
| Continuity plates | Stiffen column flanges against bending | Flange bending resistance |
| Doubler plate | Reinforce column web for panel zone shear | Web shear capacity |
| Column flange | Resist prying from tension bolts | Prying action check |
Design Procedure — Flange Plate Moment Connection
Step 1: Determine Flange Force
Ff = Mu / (d - tf)
where Mu = factored moment at the connection, d = beam depth, tf = beam flange thickness.
For the compression flange, Ff is delivered as a bearing/compression force. For the tension flange, Ff is delivered through bolts or welds in tension.
Step 2: Size Flange Plates
Tension yielding: b × tp × Fy ≥ Ff Tension rupture: b × (tp - bolt holes) × Fu ≥ Ff / φ
where b = plate width, tp = plate thickness.
Step 3: Design Flange Bolts
Bolt shear: Number of bolts ≥ Ff / (φ × rn)
where rn = nominal bolt shear capacity per bolt (AISC Table 7-1).
Bolt bearing on plate: Check bearing and tearout per AISC Chapter J.
Step 4: Check Block Shear
Block shear failure is a combined tension and shear rupture through the bolt group:
φRn = φ × [0.6 × Fu × Anv + Fu × Ant] ≤ φ × [0.6 × Fy × Agv + Fu × Ant]
where Anv = net shear area, Ant = net tension area, Agv = gross shear area.
Step 5: Design Flange Welds
For shop-welded flange connections:
Weld capacity: φRw = φ × 0.6 × FEXX × 0.707 × a × Lw
where FEXX = weld electrode strength (typically 70 ksi), a = weld leg size, Lw = weld length.
CJP groove welds develop the full plate capacity. Fillet welds are sized for the flange force.
Step 6: Check Panel Zone Shear
The column web panel zone must resist the unbalanced moment from the beam flanges:
Panel zone shear force: Vpz = Ff,top - Ff,bottom (from opposite beam) + Vcol
Panel zone shear capacity (AISC Section J6.5):
Without doubler: φRn = φ × 0.6 × Fy,web × dc × tw × (1 + 3 × bfc × tfc² / dc × dc × tw)
where dc = column depth, tw = column web thickness, bfc = column flange width, tfc = column flange thickness.
If the capacity is insufficient, add a doubler plate.
Step 7: Check Continuity Plate Requirements
Continuity plates (transverse stiffeners) are required per AISC Section J6.5 when:
- Ff > φ × Pwb (column web yielding)
- Ff > φ × Pfb (column flange bending)
If needed, size the stiffener for the excess force:
A_st ≥ (Ff - φ × Pwb) / (φ × Fy,st)
Typical continuity plate: 3/8 × 4 minimum for moderate connections.
Prequalified Seismic Connections (AISC 358)
Seismic moment connections must be prequalified per AISC 358 or validated by testing. The most common prequalified connections:
Reduced Beam Section (RBS)
The RBS is the most widely used seismic moment connection. Flanges are cut back (trimmed) in a circular arc near the column to create a predictable plastic hinge location away from the weld.
| Parameter | Requirement |
|---|---|
| Cut length | 0.75 × bf to 0.85 × bf |
| Cut depth | 0.20 × bf to 0.25 × bf (each side) |
| Distance from face | 0.5 × bf to 0.625 × bf |
| Max beam depth | W36 |
| Max beam weight | 300 lb/ft |
| Flange thickness | ≤ 1-3/4 in |
| Fy | ≤ 55 ksi (A992) |
The plastic section modulus at the reduced section:
Z_rbs = Z_x - 2 × c × tf × (d - tf)
where c = average cut depth, tf = flange thickness, d = beam depth.
Extended End Plate
Bolted unstiffened (BUEP) or stiffened (BSEP) end plate connections. The end plate extends beyond the beam flanges with bolts in the extended portion.
| Parameter | BUEP | BSEP |
|---|---|---|
| Max beam depth | W24 | W36 |
| Bolts | 4 per flange | 6-8 per flange |
| End plate thickness | Per AISC 358 | Per AISC 358 |
| Prying action | Yes | Yes (reduced) |
Worked Example — Flange Plate Connection
Given: W18×50 beam to W14×90 column, Mu = 250 kip-ft (LRFD), A992 steel.
Step 1: Flange Force W18×50: d = 18.0 in, tf = 0.57 in Ff = 250 × 12 / (18.0 - 0.57) = 3,000 / 17.43 = 172.1 kips
Step 2: Flange Plate Try PL 3/8 × 7 (A572 Gr 50):
- Tension yielding: 0.375 × 7 × 50 = 131.3 kips < 172.1 → Too small
- Try PL 1/2 × 7: 0.5 × 7 × 50 = 175 kips > 172.1 → OK
Step 3: Bolts Use 7/8 in A325-N bolts (φrn = 21.6 kips single shear): Number = 172.1 / 21.6 = 7.97 → Use 8 bolts (4 per side of beam flange)
Step 4: Panel Zone W14×90: dc = 14.0 in, tw = 0.44 in, bfc = 14.5 in, tfc = 0.71 in φRn = 0.9 × 0.6 × 50 × 14.0 × 0.44 × (1 + 3 × 14.5 × 0.71² / 14.0² × 0.44) = 166.3 × (1 + 0.159) = 192.8 kips > 172.1 → OK, no doubler needed
Step 5: Continuity Plate Check Column web yielding: φPwb = φ × Fy × tw × (tf_beam + 5k) where k = column k-distance. For W14×90: k = 1.31 in, tf_beam = 0.57 in φPwb = 0.9 × 50 × 0.44 × (0.57 + 5 × 1.31) = 0.9 × 50 × 0.44 × 7.12 = 141.2 kips < 172.1
Continuity plates required. Add 3/8 × 4 stiffeners each side.
Connection Stiffness Classification
| Classification | Ratio θ_conn/θ_beam | Typical Application |
|---|---|---|
| Rigid (FR) | < 0.2 | Moment frames |
| Semi-rigid | 0.2 to 2.0 | Partially restrained |
| Flexible (pin) | > 2.0 | Simple shear |
For most practical moment frames, connections are assumed rigid (FR) per AISC 360. Semi-rigid design requires published moment-rotation curves.
Frequently Asked Questions
When is a moment connection required? A moment connection is required when the frame uses moment-resisting connections for lateral stability (wind or seismic), when a beam cantilevers past a support, or when the beam continuity causes negative moment at the support.
What is the difference between FR and PR connections? FR (Fully Restrained) connections are rigid and transfer full moment. PR (Partially Restrained) connections allow some rotation and transfer partial moment. AISC 360 requires PR connections to have known moment-rotation characteristics. Most practical moment frames use FR connections.
What is a doubler plate? A doubler plate is a steel plate welded to the column web inside the panel zone to increase shear capacity. It is required when the applied panel zone shear exceeds the column web shear capacity. The doubler is typically plug-welded or fillet-welded to the column web.
Why is the RBS connection preferred for seismic design? The Reduced Beam Section moves the plastic hinge away from the column face, protecting the weld and connection. This improves ductility and prevents brittle fracture at the beam-to-column weld. The RBS connection has been extensively tested and is prequalified by AISC 358 for most seismic applications.
Related Pages
- Welded Connections — Weld capacity calculator
- Bolted Connections — Bolt capacity calculator
- Connection Types Explained — All connection types
- Base Plate Design — Base plate calculator
- Beam Design Guide — Beam design overview
Disclaimer
This is a calculation tool, not a substitute for professional engineering certification. All results must be independently verified by a licensed Professional Engineer (PE) or Structural Engineer (SE) before use in construction, fabrication, or permit documents. The user is responsible for the accuracy of all inputs and the verification of all outputs.