How to Calculate Pile Capacity in Granular Soils? Explained in 1-minute

Wed 4th Jan 2023 by ilyas

Piles are a form of deep foundations used for supporting buildings when there are heavy loads and weak soil strata. Sometimes, granular soils like sand or silt may be too weak, or column loads too high, in which case a structural designer may opt for piles. In this article, we describe a method to calculate pile capacities based on the SPT-N values for granular soils.


Ultimate Pile Capacity

A simple and relatively conservative method of estimating the ultimate capacity of piles is as follows:

Q subscript u comma b a s e end subscript equals 400 N cross times A subscript b                (kN)
Q subscript u comma s h a f t end subscript equals 2 N cross times A s                    (kN)
Q subscript u comma t o t a l end subscript equals Q subscript u comma b a s e end subscript plus Q subscript u comma s h a f t end subscript
 

Where Ab is the base area of the pile (bevelled fraction numerator pi D squared over denominator 4 end fraction), and As is the pile shaft area (pi D L), both in units of m2. D is the pile diameter in meters and L is the pile length.


Allowable Pile Capacity

The allowable pile bearing capacity can be simply calculated as:

Q subscript a equals fraction numerator Q subscript u comma t o t a l end subscript over denominator S. F. end fraction

The safety factor, S.F., may be taken as 2.50


Example

A pile cap with two piles supports a single column, with a working load (1.0*dead + 1.0*live) of 4,500 kN. Each pile is 750 mm in diameter and 20 m long, bearing fully in dry medium dense sand with an N value of 30. Calculate the capacity of a single pile.

Pile base area, Ab = π × (0.75)^2 / 4 = 0.442 m2
Qu,base = 400(30)(0.442) = 5,304 kN

Pile shaft area, As = π (0.75)(20) = 47.1 m2
Qu,shaft = 2,826 kN

Qu = 5,304 + 2,826 = 8,130 kN

Therefore pile allowable capacity is...
Qa = 8,130 kN / 2.5 = 3,252 kN

The applied load per pile is 4,500 kN / 2 piles = 2,250 kN
This is lower than the capacity of a single pile, therefore OK



Last Update 28/07/25 07:10 JST

 
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