Portal frame calc pack
BS EN 1993-1-1 + UK NA · Single-span symmetric duopitch
- ULS member checks PASS governing utilisation 0.653
- SLS apex deflection PASS 27.3 ≤ 53 mm
- SLS eaves drift PASS 4.7 ≤ 18 mm
1. Frame geometry + inputs
Single-span symmetric duopitch · 5 bays @ 6.0 m c/c (30.0 m total) · pinned bases · dimensions to scale.
Geometry
- Span
- 10.5 m
- Eaves height
- 5.5 m
- Bay length
- 6.0 m
- Roof pitch
- 10°
- Number of bays
- 5
- Building height
- 7.59 m
Loadings
- Dead — roof
- 0.13 kN/m²
- Dead — wall
- 0.09 kN/m²
- Imposed roof
- 0.6 kN/m²
- Snow
- 0.6 kN/m²
- Wind v_b
- 24 m/s
- Terrain category
- II
Material
- Steel grade
- S355
- Base fixity
- pinned
- γ_M0
- 1.00
- γ_M1
- 1.00
2. Section selection
3. Bending moment + shear force diagrams
Plotted for the rafter's governing combination ULS-2-wind-trans-negative. Sagging fills amber (tension on inside), hogging fills blue (tension on outside). Peak values labelled.
| Member | M peak (kN·m) | at x (m) | V peak (kN) |
|---|---|---|---|
| col left | 50.0 | 3.85 | 26.3 |
| rafter left | 39.9 | 0.00 | −12.3 |
| rafter right | −66.6 | 5.33 | −17.9 |
| col right | −66.6 | 0.00 | 12.1 |
4. Utilisation summary — rafter, cl. 6.3.3 (combined)
One row of the full table. Every clause check from cl. 6.2.4 through cl. 6.3.3 is recorded for every load combination, per member.
| Combination | Clause | UR | Result |
|---|---|---|---|
| ULS-1-grav-positive | cl. 6.3.3 | 0.485 | PASS |
| ULS-1-grav-negative | cl. 6.3.3 | 0.605 | PASS |
| ULS-2-wind-trans-positive | cl. 6.3.3 | 0.617 | PASS |
| ULS-2-wind-trans-negativegoverning | cl. 6.3.3 | 0.653 | PASS |
| ULS-3-wind-uplift-positive | cl. 6.3.3 | 0.638 | PASS |
| ULS-3-wind-uplift-negative | cl. 6.3.3 | 0.633 | PASS |
5. Serviceability + steel mass
- Apex deflection (SLS) 27.3 mm PASS limit span/200 = 53 mm
- Eaves drift (SLS wind) 4.7 mm PASS limit H/300 = 18 mm
- αcr (sway sensitivity) 11.69 PASS non-sway, no amplification
Design aid — not certified design. Final structural responsibility rests with the named engineer-of-record. Output is indicative only — not for construction.