Answer:
To calculate the ultimate bearing capacities of the deep-mixed column and the deep-mixed column-reinforced composite foundation, we can use the following formulas:
1. Ultimate bearing capacity of the deep-mixed column (q_c):
q_c = σ_uc * A_c + τ_s * A_s
where:
σ_uc = unconfined compressive strength of the column = 750 kPa
A_c = area of the column base = π * (d/2)^2 (diameter of the column = 1 m)
τ_s = average skin resistance between column and soil = 10 kPa
A_s = surface area of the column = π * d * L (diameter of the column = 1 m, length of the column = 10 m)
Plugging in the values:
q_c = 750 kPa * (π * (1/2)^2) + 10 kPa * (π * 1 * 10)
Calculating q_c will give us the ultimate bearing capacity of the deep-mixed column.
2. Ultimate bearing capacity of the deep-mixed column-reinforced composite foundation (q_f):
q_f = q_c + q_s
where:
q_s = ultimate bearing capacity of the soil = c * N_c
Given that the undrained shear strength of the soil (c) is 15 kPa, and the bearing capacity factor (N_c) is typically taken as 9 for square footings on soft clay.
Plugging in the values:
q_s = 15 kPa * 9
q_f = q_c + q_s
Calculating q_f will give us the ultimate bearing capacity of the deep-mixed column-reinforced composite foundation.
Step-by-step explanation: