A square footing of size $2.5 \mathrm{~m} \times 2.5 \mathrm{~m}$ is placed $1.0 \mathrm{~m}$ below the ground surface on a cohesionless homogeneous soil stratum. Considering that the groundwater table is located at the base of the footing, the unit weights of soil above and below the groundwater table are $18 \mathrm{~kN} / \mathrm{m}^{3}$ and $20 \mathrm{~kN} / \mathrm{m}^{3}$, respectively, and the bearing capacity factor $N_{q}$ is $58,$ the net ultimate bearing capacity of the soil is estimated as $1706 \mathrm{~kPa}$ (unit weight of water $=10 \mathrm{~kN} / \mathrm{m}^{3}$ ).
Earlier, a plate load test was carried out with a circular plate of $30 \mathrm{~cm}$ diameter in the same foundation pit during a dry season, when the water table was located beyond the plate influence zone. Using Terzaghi's bearing capacity formulation, what is the ultimate bearing capacity (in $\mathrm{kPa}$ ) of the plate?
- $110.16$
- $61.20$
- $204.00$
- $163.20$