It is proposed to build an 8-story building with a footprint of 20 m x 30 m, resting on a mat foundation of the same dimensions, in a saturated clay with undrained shear strength of 60 kPa. Assume approximately 12.5 kPa per floor for dead and live loads. Unit weight of soil is 18kN/m3 . a) At what depth would you place the mat to make this a fully compensated foundation? b) What would be the depth of this mat foundation for the net factor of safety of 5? c) What is the gross factor of safety for the depth determined in the answer to question b)?

Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter8: Mat Foundations
Section: Chapter Questions
Problem 8.5P
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It is proposed to build an 8-story building with a footprint of 20 m x 30 m, resting on a mat foundation of the same dimensions, in a saturated clay with undrained shear strength of 60 kPa. Assume approximately 12.5 kPa per floor for dead and live loads. Unit weight of soil is 18kN/m.


a) At what depth would you place the mat to make this a fully compensated foundation?

b) What would be the depth of this mat foundation for the net factor of safety of 5?

c) What is the gross factor of safety for the depth determined in the answer to question b)?

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