The GATE Grind

GATE 2026 CE (CE2) – Question 22

Geotechnical Engineering · Deep foundations: piles and pile groups · 1 mark · Multiple choice

Information related to foundation design is provided in table below.

Column 1Column 2
(I) Converse-Labarre formula(P) Pile capacity from dynamic formula
(II) Hiley formula(Q) Pile group efficiency
(III) Newmark's influence chart(R) Bearing capacity factor of saturated clay
(IV) Skempton's equation(S) Increase in vertical stress below footing

Option giving the CORRECT match between Column 1 and Column 2 is:

  1. (I) – (Q) ; (II) – (P) ; (III) – (S) ; (IV) – (R)
  2. (I) – (R) ; (II) – (S) ; (III) – (Q) ; (IV) – (P)
  3. (I) – (P) ; (II) – (Q) ; (III) – (S) ; (IV) – (R)
  4. (I) – (R) ; (II) – (S) ; (III) – (P) ; (IV) – (Q)

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) (I) – (Q) ; (II) – (P) ; (III) – (S) ; (IV) – (R)

Explanation

The Converse-Labarre formula gives the efficiency of a pile group, so (I) goes with (Q). The Hiley formula is a dynamic formula for pile capacity, so (II) goes with (P). Newmark's influence chart gives the increase in vertical stress below a loaded area, so (III) goes with (S). Skempton's equation gives the bearing capacity factor of saturated clay, so (IV) goes with (R).