- | ------------------------------------------ | ------------------------------------------------ | | 1 | 0.75 | London, SE England, East Midlands | | 2 | 0.90 | Most of England, Wales lowland | | 3 | 1.10 | Northern England, most of Scotland, Wales upland | | 4 | 1.50 | Scottish Highlands, Pennines | | 5 | 1.80+ | Cairngorms, high altitude areas |
Altitude adjustment: sâÃÂÃÂ(altitude) = sâÃÂà+ 0.001 ÃÂà(altitude - 100) for sites above 100 m in Zones 1-3, and for all altitudes in Zones 4-5.
Altitude Corrections
| Zone | Base sk at Sea Level (kN/mÃÂò) | Altitude Adjustment above 100 m |
|---|---|---|
| 1 | 0.75 | +0.001 kN/mÃÂò per m above 100 m |
| 2 | 0.90 | +0.001 kN/mÃÂò per m above 100 m |
| 3 | 1.10 | +0.001 kN/mÃÂò per m above 100 m |
| 4 | 1.50 | +0.001 kN/mÃÂò per m above (all) |
| 5 | 1.80 | +0.003 kN/mÃÂò per m above (all) |
Example: Sheffield (Zone 2, altitude 150 m): sk = 0.90 + 0.001 ÃÂà(150 - 100) = 0.95 kN/mÃÂò
Roof Snow Load
[ s = \mu_i C_e C_t s_k ]
Where:
- ÃÂüi = roof shape coefficient
- Ce = exposure coefficient (0.8 for windswept, 1.0 for normal, 1.2 for sheltered) — UK NA Table NA.2
- Ct = thermal coefficient (1.0 for normal buildings, heating < 1.0 for high-thermal-loss roofs)
UK NA Exposure Coefficient Ce
| Topography | Ce | UK Example |
|---|---|---|
| Windswept | 0.8 | Coastal areas, open plains, exposed hilltops |
| Normal | 1.0 | Most suburban and urban areas |
| Sheltered | 1.2 | City centres, enclosed valleys, heavily wooded areas |
Roof Shape Coefficients (EN 1991-1-3 Table 5.2)
Monopitch roof:
| Roof Pitch ÃÂñ | ÃÂü1 |
|---|---|
| 0ÃÂð âÃÂä ÃÂñ âÃÂä 30ÃÂð | 0.8 |
| 30ÃÂð < ÃÂñ < 60ÃÂð | 0.8 ÃÂà(60 - ÃÂñ)/30 |
| ÃÂñ âÃÂÃÂ¥ 60ÃÂð | 0.0 |
Duopitch roof (symmetrical):
| Roof Pitch ÃÂñ | ÃÂü1 | ÃÂü2 |
|---|---|---|
| 0ÃÂð âÃÂä ÃÂñ âÃÂä 30ÃÂð | 0.8 | 0.8 |
| 30ÃÂð < ÃÂñ < 60ÃÂð | 0.8 ÃÂà(60 - ÃÂñ)/30 | 0.8 ÃÂà(60 - ÃÂñ)/30 |
| ÃÂñ âÃÂÃÂ¥ 60ÃÂð | 0.0 | 0.0 |
Multi-span roof drift coefficient: ÃÂü2 = ÃÂüs ÃÂà(h/skâÃÂðÃÂ։ÃÂõ) for the valley between roofs, where:
- h = height difference between high and low roof
- s = snow drifting parameter
- ÃÂüs = 2.0 (maximum drift coefficient)
Drift Loading at Roof Level Changes
For roofs with level changes (lower roof adjacent to higher wall):
| Height Difference h (m) | Drift Length ls (m) | Peak Drift Coefficient ÃÂüw | Remarks |
|---|---|---|---|
| 1.0 | 2.0 | 1.2 | Small step |
| 2.0 | 3.0 | 1.8 | Typical parapet |
| 3.0 | 4.0 | 2.0 | Typical storey-height |
| 5.0 | 5.0 | 2.0 | Two-storey difference |
| 10.0 | 6.0 | 2.0 | Large level change |
ÃÂüw is limited to 2.0 maximum per EN 1991-1-3 Clause 5.3.6.
Snow Load Tables for UK Roofs
Snow load on roofs — Zone 1 (London: sk = 0.75 kN/mÃÂò), Ce = 1.0, Ct = 1.0:
| Roof Pitch | Monopitch s (kN/mÃÂò) | Duopitch s (kN/mÃÂò) | Duopitch — Drifted (kN/mÃÂò) |
|---|---|---|---|
| 0ÃÂð (flat) | 0.60 | 0.60 | 0.60 |
| 15ÃÂð | 0.60 | 0.60 | 0.60 |
| 30ÃÂð | 0.60 | 0.60 | 0.75* |
| 45ÃÂð | 0.30 | 0.30 | 0.30 |
Drifted case for 30ÃÂð pitch: ÃÂüâÃÂà= 0.8 + 0.4 ÃÂà(height/spacing) for multi-span roofs.
Worked Example — Snow Load on a 30ÃÂð Pitched Roof in Manchester
Given:
- Building: Manchester (Zone 2, sk = 0.90 kN/mÃÂò)
- Altitude: 100 m (no altitude correction needed)
- Roof: 30ÃÂð duopitch, normal exposure (Ce = 1.0)
- Building dimensions: 30 m span ÃÂÃÂ 50 m length
- Frame spacing: 6 m
Step 1 — Ground snow load: sk = 0.90 kN/mÃÂò (Zone 2, no altitude adjustment needed)
Step 2 — Roof snow load: ÃÂü1 = 0.8 (for ÃÂñ = 30ÃÂð) s = 0.8 ÃÂà1.0 ÃÂà1.0 ÃÂà0.90 = 0.72 kN/mÃÂò
Step 3 — Snow load on each rafter (6 m spacing): qSnow = 0.72 ÃÂà6.0 ÃÂàcos(30ÃÂð) = 0.72 ÃÂà5.20 = 3.74 kN/m (on slope length)
Step 4 — Snow load effects: Vertical load per rafter: 3.74 kN/m (on plan projection) Moment due to snow (span = 30 m): Msnow = 3.74 ÃÂà30ÃÂò / 8 = 421 kNm
Step 5 — ULS combination: 1.35 ÃÂÃÂ dead + 1.5 ÃÂÃÂ snow (snow as leading variable action) Per EN 1990, when snow is the leading variable: ÃÂÃÂ0 = 0.7 for imposed load combination
Step 6 — Drifted snow at valley (if multi-span): For adjacent span with same roof pitch (30ÃÂð), valley coefficient: ÃÂü2 = 0.8 + 0.4 ÃÂà(h / sk) where h = 30 ÃÂàtan(30ÃÂð) / 2 = 8.66 m ÃÂü2 limited to 2.0: ÃÂüw = 1.2 ÃÂà(h / s0)âÃÂðÃÂ։ÃÂõ âÃÂä 2.0
Step 7 — Exceptional snow load: EN 1991-1-3 Clause 4.3 requires checking: SAd = 2.0 ÃÂàsk = 1.80 kN/mÃÂò (exceptional drift) This is typically used only for roofs with unusual geometry.
Design Resources
- UK Wind Load — Wind loading companion
- UK Beam Design — Roof beam design
- UK Framing Systems — Portal frame design
- UK Steel Beam Sizes — Section data
- UK Steel Properties — Material data
- All UK References
Frequently Asked Questions
How is UK snow load calculated per EN 1991-1-3?
UK NA provides ground snow load sk values: Zone 1 (sk = 0.75 kN/mÃÂò), Zone 2 (sk = 0.90 kN/mÃÂò), Zone 3 (sk = 1.10 kN/mÃÂò). Roof snow load s = ÃÂüi ÃÂàCe ÃÂàCt ÃÂàsk. For a typical 15ÃÂð pitched roof in London (Zone 1): s = 0.8 ÃÂà1.0 ÃÂà1.0 ÃÂà0.75 = 0.60 kN/mÃÂò. For altitudes above 100 m, an additional increment of 0.001 kN/mÃÂò per metre applies.
What roof shape coefficients apply per UK NA?
UK NA uses ÃÂü1 = 0.8 for low-pitch roofs (0-30ÃÂð), reducing linearly to 0 for 30-60ÃÂð. For multi-span roofs, drift coefficients ÃÂü2 = 0.8 + 0.4 ÃÂà(h/s0) for high/low roof interfaces, capped at 2.0. For curved roofs, the coefficient varies with the roof rise/span ratio. For cylindrical roofs, the coefficient is based on the roof angle at the eaves up to a maximum of 2.0 at the crown.
What is the difference between undrifted and drifted snow loading?
Undrifted (uniform) snow loading uses ÃÂü1 = 0.8 for low-pitch roofs. Drifted (non-uniform) snow occurs due to wind redistribution, creating triangular load patterns at roof level changes, valleys, and parapets. EN 1991-1-3 Clause 5.3 requires both undrifted and drifted cases to be checked: the undrifted case often governs simple pitched roofs, while drifted case governs multi-span buildings and roofs with level changes. For a 30ÃÂð duopitch roof: undrifted s = 0.8 ÃÂàsk, drifted has additional accumulation.
What combination factors apply for snow with other loads?
Per UK NA to EN 1990: when snow is the leading variable action, use ÃÂÃÂ0 = 0.7 for wind (accompanying variable). When wind is the leading variable, use ÃÂÃÂ0 = 0.7 for snow. For accidental combinations (exceptional snow): ÃÂÃÂ1 = 0.5 for snow (frequent value), ÃÂÃÂ2 = 0.2 (quasi-permanent). In UK practice, snow + wind rarely govern simultaneously because heavy snow typically occurs in calm conditions.
What is the exceptional snow load case?
EN 1991-1-3 Clause 4.3 requires consideration of exceptional snow loads for certain roof types at altitudes above 1000 m, or where local conditions cause abnormal accumulations. The exceptional load is defined as: SAd = 2.0 ÃÂàCe ÃÂàCt ÃÂàsk. This is treated as an accidental design situation with ÃÂóA = 1.0. For most UK buildings below 200 m altitude, the exceptional case does not govern, but it should be documented in the design basis.
Reference only. Verify all values against the current edition of EN 1991-1-3:2003 and UK NA. This information does not constitute professional engineering advice.