A rectangle footing (Length 3.0m x Width 2.0m), subjected to a moment of (50+X) K Nm about an axis parallel to the length in addition to the vertical load 300KN, is located at a depth of 1.5m below the ground surface in sand The ground water level is 0.5m below the ground surface (see Figure 4). \text { Assume for dense sand; }\left(\phi_{p}^{\prime}=30^{\circ}, \gamma_{b u l k}=18 \mathrm{kN} / \mathrm{m}^{3}, \gamma_{s a t}=21 \mathrm{kN} / \mathrm{m}^{3}, N_{q}=18.4, N_{\gamma}=16.06\right) (a) Determine ultimate net bearing capacity of soil (7 marks) (b) Determine the maximum allowable bearing capacity of soil for factor of safety of3.0 (2 marks) (c) What is the maximum serviceable load (vertical) in the foundation to satisfy condițion 'h' above? d) Site investigation revealed that the soil condition can also represent Clay in most of the other areas at the site. What is the suitable foundation width for Length=3m in Clay (short-term) to satisfy the same factor of safety (i.e. 3.0) for the maximum serviceable load calculated in part (c) with the same moment (50+X) kNm about an axis parallel to the length? (Assume for clay, S_{u}=85 \mathrm{kP} a, \gamma_{b u l k}=20 \mathrm{kN} / \mathrm{m}^{3}, \gamma_{s a t}=22 \mathrm{kN} / \mathrm{m}^{3} \text { and water table remains same location }