It is proposed to build an eight- story building with a footprint of 15 m x 20 m, resting on a mat foundation of the same dimensions. Mat foundation is located in saturated clay with undrained shear strength of 60 kPa and unit weight of 20 kN/m3 . Assume approximately 15 kN/m2 per floor for live and dead loads (together). a) At what depth would you place the mat to make this a fully compensated foundation? b) What is the gross factor of safety of the fully compensated foundation against the bearing capacity failure?

Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter8: Mat Foundations
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Problem 8.5P
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It is proposed to build an eight- story building with a footprint of 15 m x 20 m, resting on a mat foundation of the same dimensions. Mat foundation is located in saturated clay with undrained shear strength of 60 kPa and unit weight of 20 kN/m3 . Assume approximately 15 kN/m2 per floor
for live and dead loads (together).


a) At what depth would you place the mat to make this a fully compensated foundation?
b) What is the gross factor of safety of the fully compensated foundation against the bearing capacity failure?

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