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## Q. 15.23

A reinforced concrete pile 30 ft long and 15 in. in diameter is embedded in a saturated clay of very stiff consistency. Laboratory tests on samples of undisturbed soil gave an average undrained cohesive strength $c_{u}=2500 lb / ft ^{2}$. Determine the net pullout capacity and the allowable pullout load with $F_{s}=3$.

## Verified Solution

Given: L = 30 ft, d = 15 in. diameter, $c_{u}=2500 lb / ft ^{2}, F_{s}=3$.

From Fig. 15.23 $c_{a} / c_{u}=0.41 \text { for } c_{u}=2500 \times 0.0479 \approx 120 kN / m ^{2}$ for concrete pile.

From Eq. (15.66)

$P_{u l}=W_{p}+A_{s} \alpha \bar{c}_{u}$ (15.66)

$P_{u l}(\text { net })=\alpha \bar{c}_{u} A_{s}$

where $\alpha=c_{a} / c_{u}=0.41, c_{u}=2500 lb / ft ^{2}$

$A_{s}=3.14 \times \frac{15}{12} \times 30=117.75 ft ^{2}$

Substituting

$P_{u l}(\text { net })=\frac{0.41 \times 2500 \times 117.75}{1000}=120.69 kips$

$P_{u l} \text { (allowed) }=\frac{120.69}{3} \approx 40 \text { kips }$ 