1. It is proposed to build an 8 story building with a footprint of 15 mx 20 m, resting on a mat foundation of same dimensions, in a saturated clay where cu = 12 kN/m², y = 19 kN/m³. Assume approximately 15 kN/m² per floor for the live and dead loads.

a. At what depth would you place the mat for to make it 75% compensated foundation?

b. What would be the factor of safety (F.S.) if the foundation is placed at 3.0 m depth?

c. What is the depth of foundation to achieve a F. S. of 2? (Note: you might need several trials. So, better use excel to do this problem).