Pile group design
Piles are almost always used in groups joined by a pile cap. A group does not simply carry the sum of the individual pile capacities: the zones of soil stressed by neighbouring piles overlap, the group settles more than a single pile, and in clay the whole block of soil enclosing the piles can fail together.
In clays, two checks are made. The first sums the capacities of the individual piles, multiplied by an efficiency factor if one is used. The second treats the group as a single block, with skin friction on its perimeter and end bearing on its base. The lower value governs. Close spacing tends to make block failure govern; wider spacing makes the individual-pile mode govern but enlarges the cap. In sands, driving piles densifies the soil and group efficiency can exceed one; for bored piles it is usually taken as one or less.
Spacing is usually not less than about 2.5 to 3 pile diameters for friction piles, and less for end-bearing piles on rock. The cap distributes column load to the piles; for a rigid cap under vertical load and moment, each pile load equals the average plus a term proportional to its distance from the group centroid. Lateral loads are shared similarly, with group effects reducing the lateral stiffness of trailing piles.
Settlement of a group is estimated by treating the group as an equivalent raft at a depth, commonly two-thirds of the pile length in friction piles. IS 2911 gives design and construction rules for piles in India, and load tests confirm the assumptions.
Always run the block-failure check in clay; it often governs at close spacing.
Converse-Labarre efficiency: η = 1 − θ [(n − 1) m + (m − 1) n] / (90 m n), θ = arctan(d / s) in degreesRigid cap pile load: P_i = V / n ± M_x y_i / Σ y² ± M_y x_i / Σ x²
Assuming group settlement equals single-pile settlement.
Problem. A 3 × 3 group of 0.5 m diameter friction piles at 1.5 m spacing has single-pile capacity 600 kN. Find the Converse-Labarre efficiency and the group capacity by that method.
- θ = arctan(0.5 / 1.5) = arctan(0.333) = 18.43°.
- η = 1 − 18.43 × [(3 − 1) × 3 + (3 − 1) × 3] / (90 × 3 × 3) = 1 − 18.43 × 12 / 810 = 1 − 0.273 = 0.727.
- Group capacity = 0.727 × 9 × 600 = 3 925 kN.
- In clay, compare with block failure and adopt the lower value.
Answer. Efficiency about 0.73; group capacity about 3 930 kN
Quick quiz
1Why can a group carry less than n times a single pile?
Stressed zones overlap and block failure can govern in clay.
2Where is the equivalent raft placed for friction piles?
Commonly at two-thirds of the pile length.
3Which Indian standard covers pile design and construction?
IS 2911.
- IS 2911 (series) (India): Design and construction of pile foundations.
- EN 1997 (Eurocode 7) (Europe): Geotechnical design.
- AS 2159 (Australia): Piling: design and installation.
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, J. Woodward, Pile Design and Construction Practice, CRC Press, latest edition.
Free and official sources
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