Square footing, B = 2 m, sandy soil, γ = 18 kN/m³, φ = 30°, Df = 1.5 m, c = 0. Find ultimate bearing capacity.

 Square footing, B = 2 m, sandy soil, γ = 18 kN/m³, φ = 30°, Df = 1.5 m, c = 0. Find ultimate bearing capacity.

Solution:

$$q_u = \gamma Df N_q + 0.4 \gamma B N_\gamma$$

• $N_q \approx 18.4, N_\gamma \approx 22.4$

$$q_u = 18 \cdot 1.5 \cdot 18.4 + 0.4 \cdot 18 \cdot 2 \cdot 22.4 = 858.7 \text{ kPa}$$

Answer: 0.859 MPa