Ar. Kukreti et al., ANALYSIS OF FLUID STORAGE TANKS INCLUDING FOUNDATION-SUPERSTRUCTURE INTERACTION, Applied mathematical modelling, 17(12), 1993, pp. 618-631
Citations number
18
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics,Mechanics
An analytical formulation is developed to predict the flexural behavio
r of a cylindrical liquid storage tank resting on an isotropic elastic
soil medium, which is modelled as a half space. The interface between
the plate foundation and the soil medium is considered to be smooth a
nd continuous. The plate deflection function is assumed in the form of
a power series expansion in terms of the radial coordinate. The proce
dure accounts for the interactions between the tank wall and the plate
foundation, and between the plate foundation and the soil medium. The
principle of minimum potential energy is used to evaluate the unknown
coefficients appearing in the assumed power series expansion and also
the unknown interacting forces at the tank wall-plate foundation junc
tion. Any number of terms can be considered in the assumed deflection
function. Analytical expressions are obtained for the plate foundation
deflections and radial moment, the contact stress distribution, the t
ank wall displacements, and the tank wall stress resultants. The resul
ts obtained compare well with the the effect of the various geometric
and material parameters on the flexural behavior of the system.