Checks a long concrete footing under a wall, per metre of length, to SIA 262:2025 and SIA 267:2013: the soil with lift-off, the bending, shear and anchorage of the transverse bars, and in service the eccentricity, the settlement, the tilt and the bar stresses. Every step shows its formula and the clause it comes from.
What it checks
- Loads at the base, per metre: EN,d = nd + γG · (gf + gs) (SIA 267 §8.5.3.7), mb = md + hd · h + nd · ew, and the effective width B′ = B − 2 · |e|, EN 1997-1 D.1.
- Bearing, check 1: EN,d ≤ RN,d = qR,d · B′, SIA 267 §8.5.3.5, equation (37).
- Overturning, check 2: |ed| ≤ egr = B/3 with the favourable loads, EN,d,inf = nd,inf + γG,inf · (gf + gs): the joint opens at most to the axis, SIA 267 §8.5.3.6, equation (38).
- Sliding, check 3: ET,d ≤ RT,d = EN,d,inf · tan δd/γR, SIA 267 §8.5.2.2, equation (31), and §8.5.3.4, equation (36), with δk ≤ 35° (§8.4.1.1, equation (27)) and δd = atan(tan δk/γφ).
- Bending at the wall face, check 4: md ≤ mRd (4.3.2.1) under the net pressure p − gd on the cantilever, and the minimum reinforcement mRd ≥ mcr = kt · fctm · h²/6 (4.3.1.2), with mcr from 4.4.1.3, equations (99) and (100).
- Detailing of the bottom bars, check 5: st ≤ min(1.2 · h ; 300 mm) (5.5.3.1), as,l ≥ 0.2 · as,t (5.5.3.2) and Ø ≥ Ømin = 8 mm, EN 1992-1-1 §9.8.2.1(1).
- Shear without stirrups, check 6, at d/2 from the wall face: vd ≤ vRd = kd · τcd · dv, 4.3.3.2.1, equations (35) and (36), with kg from equation (37) and εv from 4.3.3.2.2, equation (39).
- Anchorage of the transverse bars, check 7: lbd from 5.2.5.6, equation (108), for the bar stress σsd needed at the wall face, within the length from the face to the bar end.
- Service state: the resultant in the central third (SIA 267 §8.5.4.7), the pressure against σadm, the settlement and tilt, check 8, against sadm and θadm (SIA 267 §8.5.4.1), and the stresses in the transverse bars of Table 17, check 9.
What you enter and what you get
You enter, per metre of length, the footing width B and thickness h, the wall thickness tw and its offset ew, the backfill Ds, and whether the footing is reinforced or of plain concrete. For a reinforced footing: the cover c, the outer layer, the transverse bars Øt at st, the longitudinal bars Øl at sl, and any top bars. Then the materials, the weights, the resistance factors and ηt. For the ultimate state: nd, md, hd, γG, the pressure distribution, qR,d, and for overturning and sliding nd,inf, γG,inf, φ′k, the base roughness, γφ and γR. Then the anchorage model and the bar ends. In service: the actions of the wall, the load case, σadm, up to three soil layers with t1, ME,1 and γe,1, the length L, sadm, θadm and the crack requirements.
You get every check with its utilisation and clause, the soil pressures and the settlement of the rigid footing. With the Basic plan, it prints as an A4 calculation note.
Assumptions and limits
- Everything is computed for one metre of footing; the moments are taken at the faces of the wall. An offset wall gives an edge footing with a cantilever on one side only.
- With the linear distribution the footing is rigid and the base lifts off beyond the central third; the uniform option takes EN,d/B′ on the effective width.
- Sliding counts neither c′ (SIA 267 §8.4.1.2) nor the lateral resistance of the soil. Without φ′k, sliding is not checked.
- Plain concrete suits a lightly loaded footing whose projection beyond the wall is small compared with its thickness: the concrete takes the bending in tension.
- The settlement adds the stresses of the loaded rectangle (Boussinesq) layer by layer, EN 1997-1 F.1, down to zlim (EN 1997-1 §6.6.2(6)); without L the strip is taken 40 · B long. It is an estimate: creep and consolidation time are not included.
Worked example
A footing 1.6 m wide and 450 mm thick under a centred 250 mm wall, with 0.6 m of backfill, Ø14 at 150 mm transverse and Ø10 at 200 mm longitudinal bars, fck = 30 N/mm², nd = 380 kN/m, md = 20 kNm/m, hd = 15 kN/m, qR,d = 420 kN/m², nd,inf = 260 kN/m, φ′k = 30°, and in service 270 kN/m and 10 kNm/m on one soil layer with ME,1 = 30 MN/m². These are the module's own results for its worked example, computed when this page was built.
Inputs| Input | Value | Ref. |
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| Width of the footing B | 1.6 m | |
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| Thickness of the footing h | 450 mm | |
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| Thickness of the wall tw | 0.25 m | |
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| Soil cover above the footing Ds | 0.6 m | |
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| Footing | Reinforced | |
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| Cover to the bottom bars c | 50 mm | § 5.2.2 |
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| Outer (lowest) layer | Transverse bars | |
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| Transverse bars, diameter Øt | 14 mm | |
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| Transverse bars, spacing st | 150 mm | |
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| Longitudinal bars, diameter Øl | 10 mm | |
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| Longitudinal bars, spacing sl | 200 mm | |
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| Top bars | None | |
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| Characteristic compressive strength fck | 30 N/mm² | § 3.1.2.2.2 |
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| Mean tensile strength fctm | 2.9 N/mm² | § 3.1.2.2.4 |
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| Modulus of elasticity Ecm | 33600 N/mm² | § 3.1.2.3.3 |
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| Largest aggregate size Dmax | 32 mm | § 4.3.3.2.1 |
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| Characteristic yield strength fyk | 500 N/mm² | § 3.2.2.2 |
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| Modulus of elasticity Es | 205000 N/mm² | § 3.2.2.4 |
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| Unit weight of the concrete γRC | 25 kN/m³ | |
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| Unit weight of the backfill γe | 19 kN/m³ | SIA 267 §1.2.1 |
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| Resistance factor for concrete γc | 1.5 | § 2.4.2.6 |
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| Resistance factor for steel γs | 1.15 | § 2.4.2.6 |
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| Duration factor ηt | 1.0 — both conditions of 4.2.1.3 met | § 4.2.1.3 |
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| Vertical force of the wall nd | 380 kN/m | |
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| Moment of the wall md | 20 kNm/m | |
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| Horizontal force, across the footing hd | 15 kN/m | |
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| Load factor on the weights of footing and soil γG | 1.35 | |
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| Pressure distribution for the design of the concrete | Linear, rigid footing (with lift-off) | |
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| Design bearing pressure of the soil (optional) qR,d | 420 kN/m² | |
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| Vertical force with the favourable loads (optional) nd,inf | 260 kN/m | SIA 267 §5.4.1.2 |
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| Load factor on the weights, favourable γG,inf | 1.0 | SIA 267 §8.5.2.4 (35) |
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| Angle of internal friction of the soil (optional) φ′k | 30 ° | |
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| Base of the footing | Rough, failure in the soil: δ = φ′ | SIA 267 §8.4.1.1 |
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| Partial factor on tan φ′ γφ | 1.2 | SIA 267 §5.3.2.2 t.1 |
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| Partial factor on the sliding resistance γR | 1.0 | SIA 267 §8.5.2.1 (30) |
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| Anchorage model of the transverse bars | At the wall face, from the bending moment | § 5.2.5 |
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| Ends of the transverse bars | Straight | § 5.2.5.8 |
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| Vertical force of the wall n | 270 kN/m | |
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| Moment of the wall m | 10 kNm/m | |
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| Horizontal force h | 8 kN/m | |
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| Load case | Quasi-permanent | Table 17 |
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| Settlement and tilt | Calculated from the soil layers | SIA 267 §8.5.4 |
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| Soil layers below the base | One layer | |
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| Layer 1, compressibility from | Modulus ME | |
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| Layer 1, compressibility modulus ME,1 | 30 MN/m² | SIA 267 §1.2.1 |
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| Layer 1, effective unit weight γe,1 | 19 kN/m³ | |
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| Depth that counts for the settlement | Added stress down to 20 % of the overburden | EN 1997-1 §6.6.2(6) |
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| Admissible settlement (optional) sadm | 25 mm | SIA 267 §8.5.4.1 |
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| Admissible tilt (optional) θadm | 2 mm/m | SIA 267 §8.5.4.1 |
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| Tensile strength for cracking | Mean tensile strength (4.4.1.3) | § 4.4.1.3 |
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| Requirement level | Normal | § 4.4.2.2.3 |
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Calculation: Section and weights| Step | Value | Ref. |
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| Effective depth, transverse barsh − c − Øt/2 | dt = 393 mm | |
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| Effective depth, longitudinal barsh − c − Øt − Øl/2 | dl = 381 mm | |
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| Steel area, transverse barsπ·Ø²/4·1000/s | as,t = 1,026 mm²/m | |
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| Steel area, longitudinal bars | as,l = 393 mm²/m | |
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| Cracking moment per metrekt·fctm·h²/6, kt = 1/(1 + 0.5·h/3), h in m | mcr = 91.0 kNm/m | § 4.4.1.3 (99)(100) |
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| Weight of the footingγRC·B·h | gf = 18.0 kN/m | |
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| Weight of the backfillγe·(B − tw)·Ds | gs = 15.4 kN/m | |
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Calculation: Loads at the base| Step | Value | Ref. |
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| Vertical force at the basend + γG·(gf + gs) | EN,d = 425.1 kN/m | SIA 267 §8.5.3.7 |
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| Moment at the basemd + hd·h + nd·ew | mb = 26.8 kNm/m | |
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| Eccentricity of the resultantmb/EN,d; central third: |e| ≤ B/6 | e = 0.063 m | |
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| Effective widthB − 2·|e| | B′ = 1.474 m | EN 1997-1 D.1 |
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Calculation: Check 1 — bearing resistance of the soil| Step | Value | Ref. |
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| Bearing on the effective widthEN,d/(qR,d·B′) | η = 0.687 · Pass69 % of the capacity used | SIA 267 §8.5.3.5 (37) |
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Calculation: Check 2 — overturning of the footing| Step | Value | Ref. |
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| Vertical force with the favourable loadsnd,inf + γG,inf·(gf + gs) | EN,d,inf = 293.4 kN/m | |
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| Eccentricity of the resultantmb/EN,d,inf | ed = 0.091 m | |
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| Overturning: resultant within the admissible eccentricityed/egr | η = 0.171 · Pass17 % of the capacity used | SIA 267 §8.5.3.6 (38) |
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Calculation: Check 3 — sliding on the base| Step | Value | Ref. |
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| Friction angle of the baseφ′k ≤ 35° | δk = 30.00 ° | SIA 267 §8.4.1.1 (27) |
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| Design friction angle of the baseatan(tan δk/γφ) | δd = 25.69 ° | SIA 267 §8.5.2.2 |
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| Design sliding resistanceEN,d,inf·tan δd/γR, c′ not counted | RT,d = 141.2 kN/m | SIA 267 §8.5.2.2 (31) |
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| Sliding on the baseET,d/RT,d | η = 0.106 · Pass11 % of the capacity used | SIA 267 §8.5.3.4 (36) |
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Calculation: Soil pressure for the design of the concrete| Step | Value | Ref. |
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| Largest soil pressureEN,d/B·(1 + 6·|e|/B), trapezoid | σd,max = 328.4 kN/m² | |
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| Part of the base in contact100 % while |e| ≤ B/6 | bc/B = 100 % | |
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| Weights on the footingγG·(γRC·h + γe·Ds), acting downwardsthe net pressure p − gd loads the cantilevers | gd = 30.6 kN/m² | |
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Calculation: Design strengths| Step | Value | Ref. |
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| Factor for the brittleness of strong concrete(40/fck)^(1/3) ≤ 1 | ηfc = 1.000 | § 4.2.1.2 (26) |
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| Design compressive strength of the concreteηfc·ηt·fck/γc | fcd = 20.0 N/mm² | § 2.4.2.3 (2) |
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| Design yield strength of the steelfyk/γs | fyd = 434.8 N/mm² | § 2.4.2.5 (4) |
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| Design shear stress limit0.3·√fck/γc | τcd = 1.10 N/mm² | § 2.4.2.4 (3) |
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| Aggregate factor48/(16 + Dmax·min(1 ; (60/fck)²)) ≥ 1.2 | kg = 1.200 | § 4.3.3.2.1 (37) |
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Calculation: Check 4 — bending at the wall face, transverse bars| Step | Value | Ref. |
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| Cantilever from the wall faceon the right side | a = 0.675 m | |
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| Design moment at the wall face∫(p − gd)·t dt over the cantilever | md = 63.8 kNm/m | |
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| Bending resistanceas·fyd·(d − 0.85·x/2), 0.85·x = as·fyd/fcdas = 1,026 mm²/m, x/d = 0.067 | mRd = 170.4 kNm/m | § 4.3.2.1 |
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| Bending at the wall facemd/mRd | η = 0.375 · Pass37 % of the capacity used | § 4.3.2.1 |
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| Minimum reinforcement: no brittle failure at crackingmcr/mRd | η = 0.534 · Pass53 % of the capacity used | § 4.3.1.2 |
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Calculation: Check 5 — detailing of the bottom bars| Step | Value | Ref. |
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| Largest spacing of the transverse barsmin(1.2·h ; 300 mm) | smax = 300 mm | § 5.5.3.1 |
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| Longitudinal bars needed20 % of the transverse bars | as,l,min = 205 mm²/m | § 5.5.3.2 |
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| Smallest bar diameter in a footingrecommended value, National Annex | Ømin = 8 mm | EN 1992-1-1 §9.8.2.1(1) |
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| Detailing of the bottom barsmax of the ratios | η = 0.800 · Pass80 % of the capacity used | § 5.5.3.1, 5.5.3.2 |
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Calculation: Check 6 — shear, footing without stirrups| Step | Value | Ref. |
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| Design shear force at d/2 from the wall face∫(p − gd) dt beyond the section | vd = 133.5 kN/m | § 4.3.3.2.1 |
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| Strain for the shear resistancefyd/Es·md/mRd, md = 32.7 kNm/m at the section | εv = 0.407 ‰ | § 4.3.3.2.2 (39) |
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| Coefficient1/(1 + εv·d·kg) | kd = 0.839 | § 4.3.3.2.1 (36) |
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| Shearvd/vRd | η = 0.370 · Pass37 % of the capacity used | § 4.3.3.2.1 (35) |
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Calculation: Check 7 — anchorage of the transverse bars beyond the wall face| Step | Value | Ref. |
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| Bar stress needed at the wall facefyd·md/mRd | σsd = 163 N/mm² | |
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| Anchorage length50·kcp·Ø·(σsd/435)^1.5·(25/fck)^0.5·(Ø/20)^(1/3)·(1.5·Ø/cd)^0.5 ≥ 10·Ø, kcp = 1.0, cd = 50 mm (105) | lbd = 140 mm | § 5.2.5.6 (108) |
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| Anchorage of the transverse barslbd/lav | η = 0.224 · Pass22 % of the capacity used | § 5.2.5 |
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Calculation: Soil pressure under the service load| Step | Value | Ref. |
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| Vertical force at the basen + gf + gs | EN = 303.4 kN/m | |
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| Eccentricity of the resultant | e = 0.045 m | |
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| Largest soil pressure | σmax = 221.5 kN/m² | |
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| Resultant in the central thirde/ekern | η = 0.168 · Pass17 % of the capacity used | SIA 267 §8.5.4.7 |
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Calculation: Check 8 — settlement and tilt| Step | Value | Ref. |
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| Effective overburden at the base, removed by the excavationγe·(Ds + h) | σ′z0 = 20.0 kN/m² | |
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| Mean net pressureEN/B − σ′z0 | pnet = 169.7 kN/m² | |
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| Loaded length for the stress spreadlong strip, 40·B | L = 64.0 m | |
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| Depth of the compressible zone below the baseΔσz under the centre = 0.2·σ′z0(z) | zlim = 6.11 m | EN 1997-1 §6.6.2(6) |
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| Settlement under the centre line, flexible baseΣ Δσz·Δz/ME, Δσz from the loaded rectangle (Boussinesq) | s0 = 14.6 mm | EN 1997-1 F.1 |
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| Settlement of the rigid footingmean of the characteristic points at 0.37·B from the axis | s = 12.9 mm | |
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| Tilt across the footingdifference of the settlements of the two edges at mid-length, divided by B | θ = 0.66 mm/m | EN 1997-1 §6.6.2(15) |
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| Settlements/sadm | η = 0.516 · Pass52 % of the capacity used | SIA 267 §8.5.4.1 |
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| Tiltθ/θadm | η = 0.328 · Pass33 % of the capacity used | SIA 267 §8.5.4.1 |
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Calculation: Check 9 — stresses in the transverse bars (Table 17)| Step | Value | Ref. |
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| Service moment at the wall facenet service pressure over the cantilever | m = 43.3 kNm/m | |
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| Cracking momentkt·fctm·h²/6 | mcr = 91.0 kNm/m | § 4.4.1.3 (99) |
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| Bar stressuncracked section: αe·m·(d − x)/I | σs = 6 N/mm² | |
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| Crack limitation at crackingσs,r/fyk | η = 0.477 · Pass48 % of the capacity used | Table 17 |
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| Crack limitation under the quasi-permanent loadσs/fyk | η = 0.011 · Pass1 % of the capacity used | Table 17 |
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How this module is verified
Verified clause by clause against SIA 262:2025 and against independent calculations used on real projects, before release.
Questions
Where does q_R,d for a strip footing come from?
From the geotechnical report, or from the soil bearing resistance module for a strip. It is checked as EN,d ≤ qR,d · B′.
When does a strip footing need top bars?
Where the weight of footing and soil exceeds the soil pressure under a cantilever, so that the base lifts off. In the worked example the whole base stays in contact.
Can I print the calculation?
The full calculation is shown on screen, free and without an account. A print-ready A4 calculation note is part of the Basic plan.
Related
Norm: SIA 262:2025 · Page updated: 5 November 2026