# 10.5 A 12 m × 9 m mat foundation is placed at a depth of 3 mwithin sand where N6o is 20. Using Eq. (10.14), estimate theelastic settlement when the net applied pressure is 250 kN/m².It is proposed to build a 8 story building with a footprintof 15 m X 20 m, resting on a mat foundation of the samedimensions, in a saturated clay where c,,v = 19.0 kN/m³. Assume approximately 15 kN/m2 per floor50KN/m²,for the live and dead loads.a. At what depth would you place the mat to make this afully compensated foundation?b. What should be the factor of safety if the mat is placed at3.0 m depth?

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10.6 help_outlineImage Transcriptionclose10.5 A 12 m × 9 m mat foundation is placed at a depth of 3 m within sand where N6o is 20. Using Eq. (10.14), estimate the elastic settlement when the net applied pressure is 250 kN/m². It is proposed to build a 8 story building with a footprint of 15 m X 20 m, resting on a mat foundation of the same dimensions, in a saturated clay where c,, v = 19.0 kN/m³. Assume approximately 15 kN/m2 per floor 50KN/m², for the live and dead loads. a. At what depth would you place the mat to make this a fully compensated foundation? b. What should be the factor of safety if the mat is placed at 3.0 m depth? fullscreen
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Step 1

Given data:

The length of the foundation is 20 m.

The breadth of the foundation is 15 m.

The cohesion of soil is cu =50 kN/m^3.

The unit weight of soil is 50 kN/m^3.

Uniformly distributed load is w =15 kN/m^2.

The number of story’s in building n=8.

a.

The area of foundation is given by,

Step 2

Plugging values,

Step 3

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### Geotechnical Engineering 