At a site, it is planned that a circular grain silo will be constructed at the ground surface. The grain silo will be set on a rigid circular foundation that has a diameter of 6 meters. Assume that the silo will apply a concentric vertical load Q on top of the circular foundation and that the foundation will transfer this load to the top of the silty clay layer as a uniform vertical pressure q. The soil profile at this site is as follows (also shown in attached image): 9-m-deep silty clay layer underlain by bedrock Groundwater table located at a depth of 6 m from the horizontal ground surface, groundwater condition is hydrostatic. Silty clay layer Air-entry value (AEV) = 120 kPa Specific gravity GS = 2.72 Porosity n = 0.42 Average undrained shear strength su = 40 kPa Critical state friction angle Φ'C= 24 degrees (a) How can I compute pore-water pressure, total vertical stress, and effective vertical stress at point P located at a depth of z = 3 m in the silty clay layer along the vertical centreline of the circular foundation prior to the application of the grain silo load Q? (b) If point P is under at-rest earth pressure conditions and the vertical and horizontal normal stresses at point P are principal stresses, how would I calculate the magnitudes of total and effective horizontal stresses at point P prior to the application of grain silo load Q?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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At a site, it is planned that a circular grain silo will be constructed at the ground surface. The grain silo will be set on a rigid circular foundation that has a diameter of 6 meters. Assume that the silo will apply a concentric vertical load Q on top of the circular foundation and that the foundation will transfer this load to the top of the silty clay layer as a uniform vertical pressure q. The soil profile at this site is as follows (also shown in attached image):

9-m-deep silty clay layer underlain by bedrock
Groundwater table located at a depth of 6 m from the horizontal ground surface, groundwater condition is hydrostatic.
Silty clay layer
- Air-entry value (AEV) = 120 kPa
- Specific gravity G_S= 2.72
- Porosity n = 0.42
- Average undrained shear strength s_u= 40 kPa
- Critical state friction angle Φ'_C= 24 degrees

(a) How can I compute pore-water pressure, total vertical stress, and effective vertical stress at point P located at a depth of z = 3 m in the silty clay layer along the vertical centreline of the circular foundation prior to the application of the grain silo load Q?

(b) If point P is under at-rest earth pressure conditions and the vertical and horizontal normal stresses at point P are principal stresses, how would I calculate the magnitudes of total and effective horizontal stresses at point P prior to the application of grain silo load Q?

z (m)
0m
3 m
6 m
9 m
Ï
I
Q
Ç
P-
SILTY: CLAY
BEDROCK
Rigid Circular
Foundation
Diameter = 6 m
Ground
Surface
■
GWT.

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