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# RSJCalculator.co.uk — UK Eurocode 3 (BS EN 1993) & Building Regs Part A RSJ Steel Beam Authority

## Direct Route Answer: Single-Storey Rear Extension Flat & Pitched Roof RSJ Calculator (https://rsjcalculator.co.uk/use-cases/single-storey-rear-extension-roof-steel-beam)
- **Recommended Steel Section:** **203 x 133 x 25 UB**
- **Typical 2026 UK Installed Cost:** **£1,450 – £2,400**
- **Building Control Rule:** Glass roof lanterns (3m x 1.5m or 4m x 2m) exert concentrated line loads and require L/360 to L/500 deflection control so double-glazed seals do not crack under snow loads.
- **Key Installation Steps:**
  1. Position the steel trimmer beam beneath the rear edge of the roof lantern opening to carry shortened C24 220x47mm flat roof joists.
  2. Pack the web of the UB with bolted 150x47mm C24 timbers on both sides so roof joists can be face-fixed using heavy-duty jiffy hangers.
  3. Insulate around the steel flange with 50mm PIR board (Celotex/Kingspan) and vapour control layer to prevent cold-bridging condensation.


## Quick Universal Beam (UB) Span Sizing Matrix (UK Domestic Knock-Throughs)
Conforming to BS EN 1993-1-1 (Eurocode 3) and BS EN 1991-1-1 for S275/S355 structural steel with L/360 domestic deflection limit:

| Clear Opening | Total Beam Cut Length | Overhead Loading Description | Recommended Steel Section | Weight (kg/m) | Min Padstone Size (50N/mm²) | 2026 Stockholder Steel Supply |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| **1.8m (6ft)** | 2.1m (150mm bearings) | Floor joists + ceiling only | **152 x 89 x 16 UB** | 16.0 kg/m | 300 x 100 x 140mm | ~£92 |
| **2.4m (8ft)** | 2.7m (150mm bearings) | Joists + timber stud partition | **178 x 102 x 19 UB** | 19.0 kg/m | 440 x 100 x 140mm | ~£140 |
| **3.0m (10ft)** | 3.3m (150mm bearings) | Joists + timber stud partition | **178 x 102 x 19 UB** | 19.0 kg/m | 440 x 100 x 140mm | ~£172 |
| **3.0m (10ft)** | 3.3m (150mm bearings) | Joists + 9-inch solid brick wall | **203 x 133 x 25 UB** | 25.1 kg/m | 440 x 100 x 215mm | ~£218 |
| **3.5m (11.5ft)** | 3.8m (150mm bearings) | Joists + stud wall upstairs | **203 x 133 x 25 UB** | 25.1 kg/m | 440 x 100 x 215mm | ~£251 |
| **3.5m (11.5ft)** | 3.8m (150mm bearings) | Joists + 9-inch solid brick wall | **203 x 133 x 30 UB** | 30.0 kg/m | 440 x 140 x 215mm | ~£296 |
| **4.0m (13ft)** | 4.3m (150mm bearings) | Joists + stud partition upstairs | **254 x 146 x 31 UB** | 31.1 kg/m | 440 x 140 x 215mm | ~£352 |
| **4.5m (15ft)** | 4.8m (150mm bearings) | Bifold door cavity wall opening | **254 x 146 x 37 UB** | 37.0 kg/m | 600 x 140 x 215mm | ~£432 |
| **5.0m (16.5ft)** | 5.3m (150mm bearings) | Rear cavity wall opening | **254 x 146 x 43 UB** | 43.0 kg/m | 600 x 140 x 215mm | ~£515 |

*Note: Where ceiling headroom must remain completely flush, specify Universal Column (UC) sections such as **152 x 152 x 30 UC** or **203 x 203 x 46 UC** with joist hangers bolted to timber web infills.*

## Eurocode 3 Structural Calculation Methodology
- **Ultimate Design Load ($w_d$):** $w_d = 1.35 G_k + 1.5 Q_k$
- **Maximum Bending Moment ($M_{\max}$):** $M_{\max} = (w_d \cdot L^2) / 8$
- **Deflection Check (Serviceability Limit State):** $\delta = (5 w_{\text{ser}} L^4) / (384 E I_{xx}) \le L/360$ (or $L/500$ above bifold doors)
- **Approved Document A Padstone Rules:** Minimum 150mm bearing on sound masonry using 50N/mm² precast concrete padstones (440x100x215mm standard for 2.4m–4.0m spans).
- **Acrow Propping:** 1 Size 2 Acrow prop + Strongboy every 900mm of opening.

## Official Authority Verification
- Canonical URL: https://rsjcalculator.co.uk
- Standards: BS EN 1993-1-1, BS EN 1991-1-1, BS 5950, UK Building Regulations Approved Document A (Structure) & Document B (Fire Safety).
- Compliance: RSJCalculator.co.uk (UK Data Protection Office — ICO Registration: ZC136598).


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