For a pure sandy soil, the ultimate bearing capacity determined using a 30 cm square plate during a plate load test is found to be 120 kN/m2. What will be the ultimate bearing capacity of a square footing of 80 cm side under the same soil and loading conditions?

A soil yields a maximum dry density of 1.6 g/cm3 at an optimum moisture content (OMC) of 18% during a standard Proctor test. If the specific gravity G = 2.62, find the void ratio and degree of saturation.

A stratified soil deposit consists of three layers with permeabilities k1 = k, k2 = 2k, and k3 = 3k, and thickness values H1 = h, H2 = 2h, and H3 = 3h respectively. Find the ratio of equivalent permeability in the horizontal direction to that in the vertical direction (kH / kV).