Structural design report
Untitled project
4-storey reinforced concrete framed building
| Project number | — |
| Client | — |
| Designed by | — |
| Checked by | — |
| Date | — |
| Revision | A |
Executive summary
- 4-storey reinforced concrete framed building, 18.0 × 12.0 m in plan, 13.2 m high, 864 m² of floor area.
- Floor slabs: 220 mm two-way slabs.
- Beams: 350 × 400 mm throughout.
- Columns: 350 × 350 mm at the base to 350 × 350 mm at the top.
- Wind: base shear 106 kN, roof sway 5.3 mm (limit 26 mm).
- Foundations: edge column 1.8 × 1.8 × 0.40 m; interior column 2.3 × 2.3 × 0.45 m.
- Estimated quantities: 253 m³ concrete, 14.2 t reinforcement (56 kg/m³).
Contents
- 1. Design basis
- 2. Structural system and 3D model
- 3. Floor slabs
- 4. Beams
- 5. Columns
- 6. Lateral loads and stability
- 7. Floor-by-floor schedule
- 8. Architectural layout: floor plans and apartments
- 9. Construction package: reinforcement, quantities, programme and specification
- 10. Foundations
- 11. Walls, doors and windows
- 12. Quantities
- 13. Summary of checks, assumptions and limitations
- Appendix: sample calculations
1. Design basis
Geometry
| Structural system | Reinforced concrete frame | |
| Bays in X (m) | 6 + 6 + 6 = 18.0 m | |
| Bays in Z (m) | 6 + 6 = 12.0 m | |
| Storeys | 4 (ground 3.6 m, typical 3.2 m) | |
| Overall height | 13.2 m | |
| Floor area (all storeys) | 864 m² |
Materials
| Concrete | C30/37 | |
| Reinforcement | fyk = 500 MPa |
Permanent and variable actions (characteristic)
| Occupancy | A: Domestic / residential: floors, qk = 2 kN/m² | |
| Floor superimposed dead load | 2 kN/m² (excl. slab self-weight) | |
| Roof dead / roof live (snow) | 1.5 / 0.6 kN/m² | |
| Cladding line load on perimeter beams | 6 kN/m | |
| Self-weight | reinforced concrete 25 kN/m³ (calculated from member sizes) |
Partial factors and combinations (National Annex)
| National Annex | EN recommended values | |
| γc / γs / αcc | 1.5 / 1.15 / 1 | |
| γG / γQ / ξ (EN 1990) | 1.35 / 1.5 / 0.85 | |
| ULS combination | Exp. 6.10 (pattern loading of variable actions on alternate bays) | |
| Shear strut angle | cot θ between 1 and 2.5 |
Site and environment
| Design working life / consequence class | 50 years / CC2 | |
| Exposure: frame | XC1: dry or permanently wet | |
| Exposure: foundations | XC2: wet, rarely dry | |
| Minimum concrete (frame / foundations) | C20/25, w/c ≤ 0.65 / C25/30, w/c ≤ 0.6 | |
| Nominal cover: beams / columns / slabs / foundations | 25 / 30 / 25 / 50 mm (structural class S3, cmin,dur 10 mm) | |
| Fire resistance | R60 (EN 1992-1-2 tabulated data) | |
| Foundation level / groundwater | 1.5 m below ground / not met |
Wind
| Basic wind speed vb,0 | 26 m/s | |
| Terrain category | III: suburban, forest, regular cover | |
| Method | EN 1991-1-4 simplified: wall pressures at each floor level, structural factor cscd = 1.0 |
Analysis assumptions
| Method | Critical 2D frame, linear elastic first-order analysis, rigid floor diaphragms | |
| Stiffness | 0.7 Ecm I (cracked section allowance) | |
| Column effective length factor β | 1.2 | |
| Allowable bearing pressure | 200 kPa (supplied, serviceability) |
Codes
- EN 1990: Basis of structural design
- EN 1991-1-1: Densities, self-weight and imposed loads
- EN 1991-1-3: Snow loads (simplified)
- EN 1991-1-4: Wind actions (simplified)
- EN 1992-1-1: Design of concrete structures
- EN 1997-1: Geotechnical design (bearing pressure, simplified)
2. Structural system and 3D model
Plan of the structural grid (dimensions in m). Squares are columns.
3. Floor slabs
| Critical panel / type | two-way, 220 mm thick | |
| ULS floor load / roof load | 13.13 / 10.35 kN/m² | |
| Bottom steel, short span | Ø8 @ 150 mm | |
| Bottom steel, long span / distribution | Ø8 @ 175 mm | |
| Top steel over supports | Ø8 @ 150 mm |
Slab checks
- OKFlexure lx 335 ≥ 288 mm²/m
- OKFlexure ly 287 ≥ 276 mm²/m
- OKMain bar spacing 150 ≤ min(3h, 400) = 400 mm [9.3.1.1(3)]
- OKShear (VEd ≤ VRd,c) 22.4 ≤ 103.6 kN/m
- OKDeflection (l/d) 31.4 ≤ 333.4
- OKAspect ratio ly/lx = 1.00 ≤ 2
4. Beams
Beam section 350 × 400 mm throughout. Moments in kNm and shear in kN are the envelope of all load cases on the critical frame (governing beam of each storey).
| Storey | Span | M sag | M hog | V | Bottom | Top | Links | Status |
|---|---|---|---|---|---|---|---|---|
| 4 | 6.0 m | 82 | 140 | 139 | 5Ø12 | 5Ø16 | Ø8@250 | OK |
| 3 | 6.0 m | 93 | 168 | 168 | 4Ø16 | 4Ø20 | Ø8@200 | OK |
| 2 | 6.0 m | 93 | 176 | 169 | 4Ø16 | 5Ø20 | Ø8@200 | OK |
| 1 | 6.0 m | 97 | 187 | 172 | 4Ø16 | 5Ø20 | Ø8@200 | OK |
5. Columns
| Storey | Size | NEd (kN) | M (kNm) | Bars | ρ | Links | Status |
|---|---|---|---|---|---|---|---|
| 4 | 350 × 350 | 269 | 91 | 4Ø20 | 1.03% | Ø8@350 | OK |
| 3 | 350 × 350 | 602 | 71 | 6Ø12 | 0.55% | Ø8@225 | OK |
| 2 | 350 × 350 | 935 | 82 | 4Ø12 | 0.37% | Ø8@225 | OK |
| 1 | 350 × 350 | 1270 | 63 | 4Ø12 | 0.37% | Ø8@225 | OK |
6. Lateral loads and stability
| Wind base shear (whole building) | 106 kN | |
| Roof sway under characteristic wind | 5.3 mm (limit H/500 = 26 mm) |
| Floor | z (m) | Wind force (kN) |
|---|---|---|
| 4 | 13.2 | 18.3 |
| 3 | 10.0 | 33.1 |
| 2 | 6.8 | 28.4 |
| 1 | 3.6 | 26.3 |
Wind (SLS, limit h/500)
| Storey | Drift (mm) | Limit (mm) | θ | Status |
|---|---|---|---|---|
| 4 | 0.6 | 6.4 | 0.022 | OK |
| 3 | 1.1 | 6.4 | 0.030 | OK |
| 2 | 1.7 | 6.4 | 0.047 | OK |
| 1 | 1.8 | 7.2 | 0.045 | OK |
7. Floor-by-floor schedule
| Floor | Level (m) | g / q (kN/m²) | Slab | Beams | Beam Msag / Mhog / V | Beam bars | Column | N / M (kN, kNm) | Column bars | Wind / seismic F (kN) | Drift (‰) | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Roof | 13.2 | 7.0 / 0.6 | 220 mm Ø8@150 + top Ø8@150 | 350 × 400 | 82 / 140 / 139 | bot 5Ø12 top 5Ø16 links Ø8@250 | 350 × 350 | 269 / 91 | 4Ø20 links Ø8@350 | 18 / — | 0.2 (≤ 2.0) | OK |
| Level 2 | 10.0 | 7.5 / 2.0 | 220 mm Ø8@150 + top Ø8@150 | 350 × 400 | 93 / 168 / 168 | bot 4Ø16 top 4Ø20 links Ø8@200 | 350 × 350 | 602 / 71 | 6Ø12 links Ø8@225 | 33 / — | 0.3 (≤ 2.0) | OK |
| Level 1 | 6.8 | 7.5 / 2.0 | 220 mm Ø8@150 + top Ø8@150 | 350 × 400 | 93 / 176 / 169 | bot 4Ø16 top 5Ø20 links Ø8@200 | 350 × 350 | 935 / 82 | 4Ø12 links Ø8@225 | 28 / — | 0.5 (≤ 2.0) | OK |
| Ground floor | 3.6 | 7.5 / 2.0 | 220 mm Ø8@150 + top Ø8@150 | 350 × 400 | 97 / 187 / 172 | bot 4Ø16 top 5Ø20 links Ø8@200 | 350 × 350 | 1270 / 63 | 4Ø12 links Ø8@225 | 26 / — | 0.5 (≤ 2.0) | OK |
Beam and column sizes are uniform per storey; bars are the governing member of each storey. Slab steel is for the critical panel.
8. Architectural layout: floor plans and apartments
| Apartments | 8 (4 × 3-bedroom, 4 × 2-bedroom) |
| Bedrooms / bathrooms | 20 / 16 |
| Usable area / gross area | 607 m² / 864 m² (70 % efficiency) |
| Doors | 68 (12 × D2, 56 × D1) |
| Windows | 60 (48 × W2, 12 × W3), 124 m² glazing |
| External walls | Concrete block 200 mm, plastered both sides |
| Internal partitions | Concrete block 150 mm, plastered both sides |
Floors G to 3
| Unit | Type | Bedrooms | Bathrooms | Area (m²) |
|---|---|---|---|---|
| N1 | 3-bedroom | 3 | 3 | 90.0 |
| S1 | 2-bedroom | 2 | 2 | 67.5 |
| Room | Unit | Size (m) | Area (m²) | Floor finish |
|---|---|---|---|---|
| Corridor (Corridor) | common | 18.00 × 1.50 | 27.0 | Terrazzo |
| Lift & lobby (Lift) | common | 3.00 × 4.50 | 13.5 | Terrazzo |
| Stairs (Stairs) | common | 3.00 × 6.00 | 18.0 | Terrazzo |
| Bathroom (Bathroom) | N1 | 2.20 × 2.20 | 4.8 | Ceramic tiles |
| Bedroom 2 (Bedroom) | N1 | 3.30 × 3.80 | 12.5 | Porcelain tiles |
| Bedroom 3 (Bedroom) | N1 | 3.30 × 3.80 | 12.5 | Porcelain tiles |
| Dining (Dining) | N1 | 4.70 × 2.20 | 10.3 | Porcelain tiles |
| En-suite (Bathroom) | N1 | 2.00 × 2.20 | 4.4 | Ceramic tiles |
| Entrance hall (Lobby / hall) | N1 | 1.50 × 2.20 | 3.3 | Terrazzo |
| Kitchen (Kitchen) | N1 | 3.20 × 2.20 | 7.0 | Ceramic tiles |
| Living (Living room) | N1 | 5.10 × 3.80 | 19.4 | Porcelain tiles |
| Master bedroom (Master bedroom) | N1 | 3.30 × 3.80 | 12.5 | Porcelain tiles |
| WC (Toilet (WC)) | N1 | 1.40 × 2.20 | 3.1 | Ceramic tiles |
| Bathroom (Bathroom) | S1 | 2.20 × 1.70 | 3.7 | Ceramic tiles |
| Bedroom 2 (Bedroom) | S1 | 4.50 × 2.80 | 12.6 | Porcelain tiles |
| Dining (Dining) | S1 | 6.10 × 1.70 | 10.4 | Porcelain tiles |
| En-suite (Bathroom) | S1 | 2.00 × 1.70 | 3.4 | Ceramic tiles |
| Entrance hall (Lobby / hall) | S1 | 1.50 × 1.70 | 2.5 | Terrazzo |
| Kitchen (Kitchen) | S1 | 3.20 × 1.70 | 5.4 | Ceramic tiles |
| Living (Living room) | S1 | 6.00 × 2.80 | 16.8 | Porcelain tiles |
| Master bedroom (Master bedroom) | S1 | 4.50 × 2.80 | 12.6 | Porcelain tiles |
- ! Kitchen (S1): narrowest side 1.70 m is below 1.8 m
- ! Dining (S1): narrowest side 1.70 m is below 2 m
- ! Living (S1): narrowest side 2.80 m is below 3 m
- ! 7 kitchen/bathroom/WC spaces have no outside window and need mechanical extract ventilation or a duct shaft: Bathroom (N1), Kitchen (N1), En-suite (N1), WC (N1), Bathroom (S1), Kitchen (S1), En-suite (S1)
Whole building: 445 m of partition (1247 m²), 2659 m² wall paint, 506 m² wet-room wall tiling, 864 m² floor finish (openings not deducted).
Minimum room sizes are rules of thumb; confirm against local building regulations. Door and window positions, fire escape, accessibility and services are not part of this layout.
9. Construction package: reinforcement, quantities, programme and specification
Reinforcement
| Diameter | Length (m) | Mass (kg) |
|---|---|---|
| Ø8 | 21532 | 8496 |
| Ø10 | 6091 | 3756 |
| Ø12 | 5787 | 5138 |
| Ø16 | 1791 | 2827 |
| Ø20 | 1438 | 3546 |
| Total | 23763 kg (24.95 t to order, +5 % waste) |
By element: Beams 7.55 t, Columns 1.33 t, Slabs 6.92 t, Pad footings 0.41 t, Raft 7.56 t. Every beam on a storey carries the reinforcement of that storey's governing beam, span by span, anchored into the columns (bottom bars in good bond, top bars in poor bond). Top steel is two full-length hanger bars plus support bars that stop 0.3 × span past each column face.
Bill of quantities
| Ref | Description | Unit | Quantity |
|---|---|---|---|
| A. Substructure | |||
| A1 | Site clearance and setting out (building plan + 2 m all round) | m² | 352.0 |
| A2 | Bulk excavation to foundation level (1.5 m below ground, with 0.5 m working space) | m³ | 150.3 |
| A3 | Backfill and compaction, and disposal of surplus soil | m³ | 129.3 |
| A4 | Blinding concrete C10/12, 75 mm thick | m³ | 3.2 |
| B. Foundations | |||
| B1 | Pad footings: reinforced concrete C30/37 | m³ | 17.7 |
| B2 | Formwork to foundation sides | m² | 37.1 |
| B3 | High-yield reinforcement B500, bent and fixed | kg | 409.0 |
| C. Frame | |||
| C1 | Suspended slabs 220 mm thick: reinforced concrete C30/37 | m³ | 190.1 |
| C2 | Beams 350 × 400 mm: reinforced concrete C30/37 | m³ | 25.7 |
| C3 | Columns: reinforced concrete C30/37 | m³ | 19.4 |
| C5 | Formwork to soffits of slabs, with propping | m² | 858.1 |
| C6 | Formwork to slab edges | m² | 52.8 |
| C7 | Formwork to beam soffits and sides | m² | 289.7 |
| C8 | Formwork to columns | m² | 221.8 |
| C10 | High-yield reinforcement B500, Ø8 mm, cut, bent and fixed (includes laps, hooks and anchorage; +5 % waste when ordering) | kg | 8375.6 |
| C11 | High-yield reinforcement B500, Ø12 mm, cut, bent and fixed (includes laps, hooks and anchorage; +5 % waste when ordering) | kg | 1045.2 |
| C12 | High-yield reinforcement B500, Ø16 mm, cut, bent and fixed (includes laps, hooks and anchorage; +5 % waste when ordering) | kg | 2827.3 |
| C13 | High-yield reinforcement B500, Ø20 mm, cut, bent and fixed (includes laps, hooks and anchorage; +5 % waste when ordering) | kg | 3546.4 |
| D. Walls | |||
| D1 | External walls: Concrete block 200 mm, plastered both sides, net of openings | m² | 568.0 |
| D2 | Blocks for external walls (450 × 225), including 5 % breakage | no. | 5905 |
| D3 | Mortar for external walls | m³ | 14.2 |
| D4 | Internal partitions: Concrete block 150 mm, plastered both sides, net of doors | m² | 1115.5 |
| D5 | Blocks for partitions (450 × 225), including 5 % breakage | no. | 11596 |
| D6 | Mortar for partitions | m³ | 20.9 |
| D7 | Lintels over openings (precast or in-situ), 200 mm bearing each end | no. | 128 |
| E. Doors and windows | |||
| E1 | Internal door set D1 (0.9 m wide × 2.1 m), frame, leaf and ironmongery | no. | 56 |
| E2 | Internal door set D2 (1.0 m wide × 2.1 m), frame, leaf and ironmongery | no. | 12 |
| E4 | Main entrance door set D3 (1.8 m double, glazed), ground floor | no. | 1 |
| E5 | Window W2 (1.8 m²), frame, glazing and sill | no. | 48 |
| E6 | Window W3 (3.15 m²), frame, glazing and sill | no. | 12 |
| F. Finishes | |||
| F1 | Internal wall plaster, 12 mm cement-sand (both faces of partitions and inside face of external walls) | m² | 2778.8 |
| F2 | External render, 15 mm, to external wall faces | m² | 568.0 |
| F3 | Emulsion paint to internal walls (4 floors, excluding tiled areas), 3 coats | m² | 2659.4 |
| F4 | External masonry paint / weatherproof coating | m² | 568.0 |
| F5 | Wall tiling in kitchens, bathrooms and WCs (up to 2.1 m) | m² | 505.7 |
| F6 | Cement-sand screed to floors, 40 mm | m² | 864.0 |
| F7 | Floor finish: Ceramic tiles | m² | 127.8 |
| F8 | Floor finish: Porcelain tiles | m² | 478.8 |
| F9 | Floor finish: Terrazzo | m² | 257.4 |
| F20 | Ceilings: skim plaster and paint | m² | 864.0 |
| G. Roof | |||
| G1 | Roof waterproofing membrane with protection and upstands (parapet 0.4 m) | m² | 240.0 |
| G2 | Roof thermal insulation and screed to falls | m² | 216.0 |
Quantities are for estimating. Services, external works and preliminaries are not included. Foundation: pad footings.
Programme: about 6.1 months (160 working days)
| Trade | Starts (day) | Finishes (day) |
|---|---|---|
| Preliminaries | 0 | 5 |
| Substructure | 5 | 16 |
| Frame | 16 | 42 |
| Blockwork | 30 | 82 |
| Services first fix (MEP: not designed here) | 43 | 86 |
| Plaster and render | 47 | 123 |
| Screed, floor and wall tiling | 66 | 135 |
| Windows and doors | 78 | 138 |
| Painting and decoration | 81 | 150 |
| Roof | 49 | 55 |
| External | 123 | 133 |
| Completion | 150 | 160 |
6-day working week. Durations are working days from the quantities and typical productivities. Excavation 120 m³/day (one excavator); reinforcement fixing 1.5 t/day and formwork 100 m²/day; foundation concrete 80 m³/day; 3 days curing before the first lift. Frame cycle per storey: 6 days + 1 day per 200 m² of floor above 400 m² (+2 days on the ground floor, +1 where shear walls are slip-formed). Here 6 days per typical storey.
Specification notes
- Structural concrete C30/37 to EN 206 (frame exposure XC1: maximum w/c 0.65, minimum cement 260 kg/m³; foundations XC2: maximum w/c 0.6, minimum cement 280 kg/m³).
- Blinding C10/12, 75 mm. Maximum aggregate size 20 mm unless the bar spacing needs smaller.
- Slump 100 to 150 mm at the point of placing (S3). Vibrate all concrete; do not add water on site.
- Test cubes or cylinders: one set for every 50 m³ or every day's pour for each grade; strike formwork only on the strengths and ages below.
- Curing: keep exposed surfaces damp or covered for at least 7 days (10 days in hot or dry weather).
- High-yield ribbed bars B500B (fyk = 500 MPa) to EN 10080, with a mill certificate for each delivery.
- Nominal cover: beams 25 mm, columns 30 mm, slabs 25 mm, foundations 50 mm (to links where links are used). Use plastic or concrete spacers at not more than 1 m centres in each direction.
- Lap lengths and anchorages as scheduled; stagger laps so that no more than half the bars are lapped in one section where possible.
- Bends to the minimum mandrel diameters of EN 1992-1-1 Table 8.1N (4 φ up to Ø16, 7 φ above); no re-bending of partly bent bars.
- Remove loose rust and mill scale before concreting; keep bars clear of oil, mud and release agent.
- Design and prop formwork for the wet concrete and the construction loads; use the cambers on the drawings. Set out to the tolerances of EN 13670 (± 10 mm on dimensions, ± 5 mm on level).
- Typical striking times for ordinary Portland cement at 15 °C or more: vertical faces of columns and walls 1 to 2 days; beam and slab sides 2 days; slab soffits 7 to 10 days with props kept 21 days (longer for spans over 6 m or in cold weather).
- Re-prop at once after striking soffit forms where the floor above is to be cast within 14 days.
- Blocks: minimum compressive strength 3.5 N/mm² (non-loadbearing partitions) and 7 N/mm² (external walls), to EN 771; mortar 1:5 cement to sand by volume.
- Provide damp-proof course at the base of ground-floor walls; tie masonry to the frame with ties at 450 mm vertically; break joints in alternate courses.
- Plaster 12 mm in two coats on prepared, damp surfaces; external render 15 mm with a weatherproof coat; paint after the plaster has dried for 28 days.
- Bathroom, kitchen and WC floors: waterproof membrane turned up 150 mm, falls to the drains, tiles on bedding.
- Set out from the structural grid on the drawings; check diagonals of the building plan and the levels of every floor before casting.
- Fire resistance R60: do not reduce the cover or the member sizes shown on the drawings.
- Inspect reinforcement (size, spacing, cover, laps) and formwork before every pour; keep a record signed by the engineer.
- All design values are preliminary: they must be checked and approved by a qualified engineer before construction.
10. Foundations
| Column | NEd (kN) | MEd (kNm) | Size | Depth | Bars (each way) | Status |
|---|---|---|---|---|---|---|
| Edge column (critical frame) | 600 | 51 | 1.8 × 1.8 m | 400 mm | Ø10@150 | OK |
| Interior column (critical frame) | 1270 | 32 | 2.3 × 2.3 m | 450 mm | Ø10@100 | OK |
Allowable bearing pressure 200 kPa (assumed). Footing loads are for the critical frame; other columns are scaled by tributary area.
Whole-building raft (alternative to pad footings)
| Raft plan | 20.0 × 14.0 m (building + 1.0 m all round), 500 mm thick |
| Loads | G = 12440 kN, Q = 1426 kN, overturning moment (wind) 861 kNm |
| Bearing pressure | 50 / 49 kPa (allowable 200 kPa), e = 0.06 m |
| eccentricity (no uplift) | OK: e = 0.06 m ≤ L/6 = 3.33 m |
| bearing pressure | OK: q,max = 50 kPa ≤ 200 kPa |
| overturning | OK: 0.9GL/2 / M = 130.09 (≥ 1.5) |
| sliding | OK: μ·0.9G / H = 42.19 (≥ 1.0) |
| Slab reinforcement | bottom Ø12@125, top Ø10@100, each way (punching and flexure OK) |
The slab is sized as an inverted flat slab under the heaviest frame column. The slab under shear walls is thickened locally (strip footing check with the wall load and overturning moment); the whole raft is not analysed as a plate on springs.
11. Walls, doors and windows
Wall type: Brick masonry 215 mm, plastered both sides. Plan 18.0 × 12.0 m, 4 storeys.
| Face (typical storey) | Length | Net wall | Openings | Line load |
|---|---|---|---|---|
| Front (z = 0) | 18.0 m | 37.8 m² | 22% | 10.53 kN/m |
| Back (z = Lz) | 18.0 m | 37.8 m² | 22% | 10.53 kN/m |
| Left (x = 0) | 12.0 m | 27.0 m² | 17% | 11.19 kN/m |
| Right (x = Lx) | 12.0 m | 27.0 m² | 17% | 11.19 kN/m |
Average perimeter wall load (typical storey): 10.79 kN/m. The structural design above uses a cladding load of 6 kN/m (differs from the wall layout: update the Building designer).
| Mark | Description | Size | Total | Area |
|---|---|---|---|---|
| D1 | Door, single timber | 0.9 × 2.1 m | 1 | 1.9 m² |
| D3 | Door, double glazed leaf pair | 1.8 × 2.1 m | 1 | 3.8 m² |
| W2 | Window 1.5 × 1.2 | 1.5 × 1.2 m | 65 | 117.0 m² |
| Net wall area | 549 m² | |
| Wall volume | 118 m³ | |
| Plaster (both faces) | 1099 m² |
| Lintel over | RC lintel | Bottom bars | Steel lintel |
|---|---|---|---|
| D1 (0.9 m) | 215 × 150 mm | 2Ø12 | IPE 100 |
| D3 (1.8 m) | 215 × 150 mm | 2Ø12 | IPE 100 |
| W2 (1.5 m) | 215 × 150 mm | 2Ø12 | IPE 100 |
Glazing wind pressure at roof level: suction -1.12 kN/m², pressure 0.88 kN/m² (simplified).
12. Quantities
| Concrete: slabs | 190 m³ | |
| Concrete: beams | 26 m³ | |
| Concrete: columns | 19 m³ | |
| Concrete: footings | 18 m³ | |
| Concrete total | 253 m³ | |
| Reinforcement total | 14.2 t | |
| Steel per m³ of concrete | 56 kg/m³ | |
| Steel per m² of floor | 16.5 kg/m² |
Preliminary estimate only: excludes laps, wastage and non-critical members.
13. Summary of checks, assumptions and limitations
Design checks
- OKSlab 220 mm, two-way panel 6 × 6 m
- OKBeams 350 × 400 mm, 0 of 12 failing
- OKColumns 0 of 4 storeys failing
- OKDrift: Wind (SLS, limit h/500) max drift 0.05% of storey height
- OKP-Δ sensitivity θ (Wind) max θ = 0.047 (limit 0.1)
- OKRoof sway (wind) ≤ H/500 5.3 ≤ 26 mm
- OKFooting: Edge column (critical frame) 1.8 × 1.8 m, h = 400 mm, NEd = 600 kN
- OKFooting: Interior column (critical frame) 2.3 × 2.3 m, h = 450 mm, NEd = 1270 kN
- OKConcrete class for frame (XC1) C30 ≥ C20/25; limits w/c ≤ 0.65, cement ≥ 260 kg/m³
- OKConcrete class for foundations (XC2) C30 ≥ C25/30; limits w/c ≤ 0.6, cement ≥ 280 kg/m³
- OKFire R60: slab axis distance 29 mm ≥ 20 mm required for 220 mm section
- OKFire R60: beams axis distance 41 mm ≥ 25 mm required for 350 mm section
- OKFire R60: columns axis distance 48 mm ≥ 40 mm required for 350 mm section
- OKRaft: eccentricity (no uplift) e = 0.06 m ≤ L/6 = 3.33 m
- OKRaft: bearing pressure q,max = 50 kPa ≤ 200 kPa
- OKRaft: overturning 0.9GL/2 / M = 130.09 (≥ 1.5)
- OKRaft: sliding μ·0.9G / H = 42.19 (≥ 1.0)
- OKRaft slab: punching and flexure 500 mm thick, bottom Ø12@125, top Ø10@100 each way
Warnings
- Critical 2D frame method: torsion, 3D effects, diaphragm flexibility and foundation interaction are not modelled. Verify with a full 3D model for final design.
Limitations
- Preliminary design: member sizes and reinforcement come from a critical two-dimensional frame analysis. Torsion, three-dimensional effects, flexible diaphragms and foundation interaction are not modelled.
- Eurocode recommended values are used. National Annex parameters in this report were entered from memory and must be checked against the official National Annex before use.
- Wind and snow actions use the simplified methods of EN 1991-1-4 and EN 1991-1-3. Seismic actions use the lateral force method of EN 1998-1 and no ductility detailing beyond minimum reinforcement.
- Foundations are isolated pad footings on a uniform soil with an assumed allowable bearing pressure; a geotechnical investigation and foundation design are required.
- Quantities are preliminary estimates and exclude laps, wastage, non-critical members and non-structural elements.
- This report is an aid only. All results must be verified, and the design taken responsibility for, by a qualified, licensed engineer.
Sign-off
| Role | Name | Signature | Date |
|---|---|---|---|
| Designed by | |||
| Checked by | |||
| Approved by |
14. Appendix: sample calculations
A1. Critical floor slab panel
| Self-weight | 25 h | 5.50 kN/m² |
| Design load wEd | Exp. 6.10 | 13.13 kN/m² |
| Share carried in lx direction | k_y ly⁴ / (k_x lx⁴ + k_y ly⁴) · w | 6.56 kN/m² |
| Share carried in ly direction | 6.56 kN/m² |
| M | coefficient × w L² | 17.72 kNm/m |
| d | h − c − φ/2 (− inner layer allowance) | 191 mm |
| K | M / (b d² fck) | 0.0162 |
| z | d [0.5 + √(0.25 − K/1.134)] ≤ 0.95 d | 181 mm |
| As,req | M / (fyd z) | 225 mm²/m |
| As,min | max(0.26 fctm/fyk b d, 0.0013 b d) | 288 mm²/m |
| Provided | Ø8 @ 150 mm = 335 mm²/m |
| M | coefficient × w L² | 17.72 kNm/m |
| d | h − c − φ/2 (− inner layer allowance) | 183 mm |
| K | M / (b d² fck) | 0.0176 |
| z | d [0.5 + √(0.25 − K/1.134)] ≤ 0.95 d | 174 mm |
| As,req | M / (fyd z) | 234 mm²/m |
| As,min | max(0.26 fctm/fyk b d, 0.0013 b d) | 276 mm²/m |
| Provided | Ø8 @ 175 mm = 287 mm²/m |
| M | coefficient × w L² | 20.32 kNm/m |
| d | h − c − φ/2 (− inner layer allowance) | 191 mm |
| K | M / (b d² fck) | 0.0186 |
| z | d [0.5 + √(0.25 − K/1.134)] ≤ 0.95 d | 181 mm |
| As,req | M / (fyd z) | 258 mm²/m |
| As,min | max(0.26 fctm/fyk b d, 0.0013 b d) | 288 mm²/m |
| Provided | Ø8 @ 150 mm = 335 mm²/m |
| M | coefficient × w L² | 20.32 kNm/m |
| d | h − c − φ/2 (− inner layer allowance) | 183 mm |
| K | M / (b d² fck) | 0.0202 |
| z | d [0.5 + √(0.25 − K/1.134)] ≤ 0.95 d | 174 mm |
| As,req | M / (fyd z) | 269 mm²/m |
| As,min | max(0.26 fctm/fyk b d, 0.0013 b d) | 276 mm²/m |
| Provided | Ø8 @ 175 mm = 287 mm²/m |
| VEd at d | coef · w L − w d | 22.4 kN/m |
| VRd,c | [CRd,c k (100 ρl fck)^(1/3)] b d ≥ vmin b d | 103.6 kN/m |
| K (structural system) | Table 7.4N | 1.30 |
| Allowable l/d | 333.4 | |
| Actual l/d | lx / d | 31.4 |
A2. Ground-storey column (350 × 350 mm, worst of the storey)
| NEd | 600 kN | |
| fcd / fyd | 20.00 / 434.8 MPa | |
| x–x (h dir.): effective length l0 | β L | 3840 mm |
| x–x (h dir.): slenderness λ | l0 / i, i = D/√12 | 38.0 |
| x–x (h dir.): limit λlim | 20 A B C / √n [5.8.3.1] | 90.9 |
| x–x (h dir.): first-order MEd0 | max(0.6 M02 + 0.4 M01, 0.4 M02) + NEd l0/400 | 31.1 kNm |
| x–x (h dir.): second-order | not required (λ ≤ λlim) | |
| x–x (h dir.): design moment | max(M02, M0Ed + M2, NEd e0), e0 = max(D/30, 20) | 63.3 kNm |
| y–y (b dir.): effective length l0 | β L | 3840 mm |
| y–y (b dir.): slenderness λ | l0 / i, i = D/√12 | 38.0 |
| y–y (b dir.): limit λlim | 20 A B C / √n [5.8.3.1] | 25.4 |
| y–y (b dir.): first-order MEd0 | max(0.6 M02 + 0.4 M01, 0.4 M02) + NEd l0/400 | 5.8 kNm |
| y–y (b dir.): second-order M2 | NEd · Kr Kφ (1/r0) l0²/10 [5.8.8] | 17.4 kNm |
| y–y (b dir.): design moment | max(M02, M0Ed + M2, NEd e0), e0 = max(D/30, 20) | 23.2 kNm |
| Reinforcement | 4Ø12 (nb = 2 per face, nh = 0 per side) = 452 mm² | |
| As,min / As,max | max(0.10 NEd/fyd, 0.002 Ac) / 0.04 Ac | 245 / 4900 mm² |
| NRd (squash) | Ac fcd + As fyd | 2647 kN |
| MRd,x at NEd | 104.7 kNm | |
| MRd,y at NEd | 104.7 kNm | |
| Utilisation | max(MEd/MRd) per axis | 0.605 |
| Link diameter | max(6, φmax/4) | Ø6 (input link Ø8) |
| Link spacing scl,tmax | min(20 φmin, min(b,h), 400) | 225 mm (× 0.6 near beams and laps) |
A3. Edge column (critical frame)
| Footing self-weight | 25 B L h | 32.4 kN |
| Total vertical load | 461.0 kN | |
| Eccentricity e | Mk / N | 79 mm (L/6 = 300 mm) |
| qmax / qmin | N/A ± M/W | 179.7 / 104.8 kPa |
| Allowable q | 200 kPa |
| Net ultimate pressure qu (max/avg) | 237.6 / 185.2 kPa (e = 85 mm) | |
| M along L per m | pressure on cantilever (L − ch)/2 | 58.7 kNm/m |
| As,req along L | d = 342 mm | 416 mm²/m (min 515) |
| Provided along L | Ø10 @ 150 = 524 mm²/m | |
| M along B per m | qu (B − cb)²/8 | 48.7 kNm/m |
| As,req along B | d = 326 mm | 361 mm²/m (min 491) |
| Provided along B | Ø8 @ 100 = 503 mm²/m |
| One-way shear VEd at d | 160.4 kN | |
| One-way VRd,c | 272.3 kN | |
| Control perimeter u1 (2d) | 2(cb+ch) + 4π d | 5597 mm |
| VEd,red (net of pressure within u1) | NEd − qu Aperim | 144.5 kN |
| β | 1 + 1.5 M/V · u1/W1 (simplified: 1 + 1.5 e/(ch + 4d)) | 1.076 |
| vEd at u1 | β VEd / (u1 d) | 0.083 MPa |
| vRd,c at u1 | CRd,c k (100 ρ fck)^(1/3) ≥ vmin | 0.453 MPa |
| vEd at column face u0 | β NEd / (u0 d) | 1.380 MPa |
| vRd,max | 0.5 ν fcd | 5.280 MPa |