Portal Frame Design — Steel Moment Frame Guide
Portal frames (also called portal frames or rigid frames) are the most common structural system for industrial buildings, warehouses, and commercial steel structures. They consist of columns and rafters connected by moment-resisting joints at the eaves and ridge. This page covers the design approach, key components, and AISC 360 requirements.
Portal Frame System Overview
| Component | Function | Typical Section |
|---|---|---|
| Portal column | Vertical support, resists moment and axial | W12 to W24 |
| Rafter | Horizontal/angled roof beam | W18 to W30 |
| Haunch | Reinforces eaves moment connection | Cut from rafter or plate |
| Eaves connection | Moment connection (column to rafter) | Flange plate or end plate |
| Ridge connection | Moment or pin connection at peak | Bolted or welded |
| Purlins | Secondary roof framing | Z-section, C-section |
| Girts | Secondary wall framing | Z-section, C-section |
| Bracing | Longitudinal stability | Rods, angles, cables |
Design Loads on Portal Frames
| Load Type | Source | Direction | Combination Factor |
|---|---|---|---|
| Dead load (D) | Roof, cladding, services | Gravity | 1.0 |
| Live load (Lr) | Roof maintenance | Gravity | 0.75 - 1.0 |
| Wind uplift (W) | ASCE 7 pressure | Uplift/lateral | 1.0 |
| Wind lateral | ASCE 7 pressure on walls | Horizontal | 1.0 |
| Collateral load | MEP, sprinklers, ceiling | Gravity | 1.0 |
| Snow (S) | ASCE 7 ground snow load | Gravity | 0.75 - 1.0 |
| Seismic (E) | ASCE 7 seismic forces | Horizontal | 1.0 |
ASCE 7 Load Combinations (LRFD)
| Combo | Load Combination | Controls When |
|---|---|---|
| 1 | 1.4D | Dead only (rare) |
| 2 | 1.2D + 1.6Lr + 0.5S | Max gravity |
| 3 | 1.2D + 1.6Lr + 0.5W | Gravity + partial wind |
| 4 | 1.2D + 1.0W + 0.5Lr + 0.5S | Wind governs |
| 5 | 0.9D + 1.0W | Uplift / overturning |
| 6 | 1.2D + 1.0E + 0.2S | Seismic |
Load combination 4 (wind) typically governs column design. Load combination 5 (uplift) governs anchor bolt design and overturning checks.
Frame Analysis
Portal frames are analyzed as 2D plane frames. Methods:
| Method | When to Use | Tools |
|---|---|---|
| Hand calculation (portal method) | Preliminary sizing | Moment distribution |
| Elastic analysis (first-order) | Simple frames | Software (STAAD, RISA) |
| Second-order analysis (P-Δ) | Slender frames | Software required |
| Plastic analysis | Compact sections, limited | Specialized software |
Portal Method Approximation
For preliminary sizing, the portal method gives approximate forces:
Column base shear: V = w × L / 2
Column moment (fixed base): M = w × L × h / 6 (each column)
Rafter moment (mid-span): M = w × L² / 8 - M_eaves
where w = uniform wind load on frame, L = frame spacing, h = eaves height.
Haunch Design
The haunch (also called a knee brace or eaves haunch) increases the rafter depth at the eaves connection, reducing the moment in the rafter and providing a moment-resisting connection.
Haunch Geometry
| Parameter | Typical Range | Design Basis |
|---|---|---|
| Haunch length | 8-12% of span | Moment distribution |
| Haunch depth | 1.5-2.5 × rafter depth | Connection capacity |
| Haunch flange | Match rafter or wider | Flange force transfer |
| Haunch web | Match rafter web | Shear transfer |
| Taper angle | 15-30° | Fabrication and aesthetics |
Haunch Sizing Steps
- Determine the moment at the column face (M_face)
- Calculate the required section modulus at the haunch toe
- Size the haunch depth so the stress at the toe is ≤ φ × Fy
- Check the haunch flange for the axial force component
- Check the haunch web for shear
- Check lateral-torsional buckling of the haunch
Haunch Fabrication
Haunches are typically cut from the same section as the rafter (cut diagonally) or built up from plates. The haunch flange is welded to the rafter flange with a CJP groove weld. The web is fillet-welded to the rafter web.
Eaves Connection Design
The eaves connection is the most critical joint in a portal frame. It transfers:
- Moment from rafter to column (through flange forces)
- Shear from rafter to column (through web bolts)
- Axial thrust from rafter slope
Design Forces
Flange force at eaves: Ff = M_eaves / (d_rafter + d_haunch - tf)
Shear at eaves: V = reaction shear from rafter loading
Axial thrust: H = horizontal reaction from frame action
Connection Types
| Type | Pros | Cons |
|---|---|---|
| Welded flange + bolted web | Maximum stiffness | Field welding required |
| Extended end plate | Shop welded, field bolted | Heavy end plate |
| Haunched end plate | Best for heavy moment | Complex fabrication |
| Bolted flange plates | All field bolted | Lower stiffness |
Column Design
Portal frame columns resist combined axial load, bending moment, and shear.
Column Sizing
| Frame Height | Typical Column | Typical Rafter |
|---|---|---|
| 15 ft | W12×45 to W12×65 | W16×36 to W18×50 |
| 20 ft | W12×65 to W14×68 | W18×50 to W21×62 |
| 25 ft | W14×68 to W14×90 | W21×62 to W24×68 |
| 30 ft | W14×90 to W14×120 | W24×68 to W27×94 |
| 35 ft | W14×120 to W14×145 | W27×94 to W30×108 |
Column Checks
- Combined axial + bending (AISC Chapter H): φPn and φMn interaction
- Lateral-torsional buckling (AISC Chapter F): Braced by girts or flange bracing
- Local buckling (AISC Table B4.1): Compact section requirements
- Base plate design: Fixed or pinned base
- Anchor bolt design: ACI 318 Appendix D
Fixed vs Pinned Base
| Base Type | Moment | Column Size | Foundation | Deflection |
|---|---|---|---|---|
| Fixed | Moment at base | Smaller | Larger | Less |
| Pinned | No moment | Larger | Smaller | More |
| Semi-fixed | Partial moment | Moderate | Moderate | Moderate |
Fixed bases reduce column size and frame deflection but require larger foundations to resist the base moment. The choice depends on foundation cost vs steel cost trade-off.
Rafter Design
Rafter Checks
- Bending strength at critical sections (eaves, haunch toe, mid-span)
- Combined axial + bending (frame action creates thrust)
- Shear strength at eaves
- Lateral-torsional buckling between purlin points
- Web sidesway buckling at concentrated forces (purlin loads)
- Deflection (typically L/180 for roof frames)
Roof Slope
| Slope | Angle | Application |
|---|---|---|
| 1:12 | 4.8° | Minimum practical slope |
| 2:12 | 9.5° | Low-slope industrial |
| 3:12 | 14.0° | Standard warehouse |
| 4:12 | 18.4° | Higher drainage |
| 6:12 | 26.6° | Steep roof, architectural |
Minimum slope for drainage depends on cladding type. Standing seam metal roofs can be as low as 0.25:12 with proper sealant.
Frame Spacing
| Spacing | Purlin Span | Rafter Load | Typical Use |
|---|---|---|---|
| 20 ft | 20 ft | Moderate | Common industrial |
| 25 ft | 25 ft | Higher | Long-span warehouses |
| 30 ft | 30 ft | High | Large clear-span |
| 40 ft | 40 ft | Very high | Special structures |
Wider spacing reduces the number of portal frames but increases purlin size and rafter loading. 20-25 ft spacing is most economical for typical buildings.
Stability Bracing
Portal frames require longitudinal bracing for stability:
| Bracing Type | Location | Purpose |
|---|---|---|
| X-bracing (wall) | End bays, alternating | Longitudinal wind resistance |
| Roof bracing | End bays, diaphragm | Roof diaphragm stability |
| Flange bracing | At haunch, mid-rafter | Rafter LTB restraint |
| Column bracing | At girt locations | Column weak-axis bracing |
| Portal brace | In plane of frame | Resistance to longitudinal load |
A minimum of one braced bay per 150 ft of building length is recommended.
Frequently Asked Questions
What is a portal frame? A portal frame is a rigid frame consisting of two columns connected to a rafter (or pair of rafters) by moment-resisting connections. The frame resists lateral loads through frame action (bending of columns and rafters) rather than diagonal bracing.
When do I need a haunch? Haunches are needed when the moment at the eaves connection exceeds the capacity of the rafter-to-column connection without reinforcement. Most portal frames over 30 ft span use haunches. The haunch increases the lever arm at the connection, reducing the flange force.
Should the portal frame base be fixed or pinned? Fixed bases reduce frame deflection and column size but increase foundation cost. Pinned bases are simpler and cheaper to construct but result in larger columns and more deflection. For most industrial buildings (20-40 ft eaves height), fixed bases are preferred for deflection control.
What is the typical span range for portal frames? Portal frames are economical for clear spans from 30 ft to 150 ft. Below 30 ft, standard beam-and-column framing is usually cheaper. Above 150 ft, trusses or space frames become more economical. The most common range is 60-100 ft.
Related Pages
- Beam Capacity — Beam design calculator
- Wind Load Calculator — ASCE 7 wind loads
- Moment Connection Design — AISC moment connections
- Connection Types — All connection types
- Base Plate Design — Base plate calculator
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.