Retaining walls
A retaining wall holds back soil where the ground changes level, as at road cuttings, basements, bridge abutments and hillside terraces. Gravity walls of masonry or mass concrete resist earth pressure by their weight. Cantilever walls of reinforced concrete use a thin stem fixed to a base slab whose heel carries soil weight, making them economical up to about 6 to 8 m. Counterfort walls add ribs for taller heights. Reinforced soil walls, gabions, crib walls and anchored or nailed walls are alternatives suited to particular sites.
Design checks external stability first: overturning about the toe, sliding along the base, bearing pressure under the base (with the resultant in the middle third), and overall slope stability of the wall and soil together. A shear key under the base can improve sliding resistance. Earth pressures come from Rankine or Coulomb theory, with surcharge from traffic or buildings and with seismic increments in earthquake zones. Then the stem, toe and heel are designed as reinforced concrete cantilevers for bending and shear.
Drainage is critical. Weep holes, a graded filter or geocomposite behind the stem and a drain at its base stop water pressure building up. Many wall failures in monsoon follow blocked drains. Backfill should be granular and compacted in thin layers with light plant near the wall.
Overturning: FS = ΣM_resisting / ΣM_overturning ≥ 2 (static, typical)Sliding: FS = μ ΣW / ΣP_h ≥ 1.5 (typical)Base pressure: q = (ΣW / B)(1 ± 6e / B), with e ≤ B/6Active thrust: Pa = ½ Ka γ H²
Problem. A cantilever wall has total vertical load 220 kN/m, horizontal thrust 75 kN/m, base width 3.2 m, base friction 0.5. Resultant acts 1.3 m from the toe. Check sliding and base pressure.
- Sliding FS = 0.5 × 220 / 75 = 1.47, marginally below 1.5, so add a shear key or widen the base.
- Eccentricity e = 3.2/2 − 1.3 = 0.3 m, less than B/6 = 0.533 m: no tension.
- q max = (220/3.2)(1 + 6 × 0.3/3.2) = 68.75 × 1.5625 = 107 kPa; q min = 68.75 × 0.4375 = 30 kPa.
Answer. Sliding FS ≈ 1.47 (needs a key); base pressures 107 and 30 kPa
Quick quiz
1Name the four external stability checks.
Overturning, sliding, bearing pressure and overall stability.
2Why keep the resultant in the middle third?
To avoid tension (uplift) under the heel.
3What is a common cause of wall failure in monsoon?
Blocked drainage causing water pressure.
- IS 456 (India): Plain and reinforced concrete: general rules for materials, durability, design and construction.
- IS 1893 (Part 1) (India): Criteria for earthquake-resistant design: seismic zones and how to work out earthquake forces.
Clauses and documents to read
- IS 456:2000 (RC design of stem and base)
- IS 1893 (Part 3):2014 (seismic earth pressure)
- IRC:78-2014 (foundations and substructure for road bridges, abutments)
Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.
References and further reading
Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.
- B. M. Das, Principles of Foundation Engineering, Cengage, latest edition.
- J. E. Bowles, Foundation Analysis and Design, McGraw Hill, 5th edition.
- M. J. Tomlinson, Pile Design and Construction Practice, CRC Press, latest edition.
Free and official sources
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