Example (4.2): Settlement behavior of four containers
Introduction
In many practical cases, it becomes important to study the
interaction of elastic or rigid foundations, which are constructed simultaneously. In this
case, there will be interaction of foundations due to the overlapping of stresses through the
soil medium, however the structures are not statically connected. The interaction of foundations
will cause additional settlements under all foundations.
The conventional solution of this problem assumes that the
contact pressure of the foundation is known and distributed linearly on the bottom of it.
Accordingly, the soil settlements due to the system of foundations can be easily determined. This assumption may be correct for small foundations, but
for big foundations, it is preferred to analysis the foundation as a plate resting on either elastic
springs (Winkler’s model) or continuum model. In spite of the simplicity of the first
model in application, one cannot consider the effect of neighboring foundations or the influence of
additional exterior loads. Thus, because Winkler’s model is based on the contact pressure at any
point on the bottom of the foundation is proportional to the deflection at that point, independent
of the deflections at the other points. Representation of soil as Continuum model (methodes 4, 5, 6,
7 and 8) enables one to consider the effect of external loads.
The study of interaction between a foundation and another
neighboring foundation or an external load has been considered by several authors. Stark
(1990) presented an example for the interaction between two rafts. Kany (1972) presented an
analysis of a system of rigid foundations. In addition, he presented a solution of system
of foundations considering the rigidity of the superstructure using a direct method (Kany
1977). Recently, Kany/ El Gendy (1997) and (1999) presented an analysis of system of elastic
or rigid foundations on irregular subsoil model using an iterative procedure.
This section presents a general solution for the analysis of
system of foundations, elastic or rigid, using the iterative procedure of Kany/ El Gendy
(1997) and (1999).
Description of the problem
To verify the iterative procedure of Kany/ El Gendy (1997)
and evaluate its accuracy for interactive large system of rigid rafts, consider the
example 2 in the User’s Guide of program STAPLA (Kany (1976)). The computed settlements obtained from
the iterative procedure are compared with those of program STAPLA (Kany (1976)).
For a sewerage station, two isolated containers A and B were
constructed simultaneously. Then, lately to extend the station another two isolated containers
C and D would be constructed at the same area. Those two external C and D containers would
provide an additional settlement on containers A and B.
It is required to assess the tilting of each container and
the settlement considering the interaction between the containers through the subsoil at the end of
construction. The tilting and settlement of the containers are main factors for designing of the pipe
connections. The Figure shows the location of containers to each other
and the soil layers. The moduli of compressibility of the soil layers for loading and reloading
parts are taken as the same Es.
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