Studying the Structural behavior of Walls of Fluid Basins Using the Finite Difference Method

Abstract

The real concern, which represents the dangerous places in the tanks containing liquid materials, is those where cracks occurs in the walls of those tanks. To determine  the zone areas where the maximum  precipitation occurs, a study  of those walls  had to be conducted and the  ideal  dimensions  of  those  walls  had  to  be  searched  for  in order to control the highest precipitation  and thus reduced the possibility of cracks occurring as a  result  of the large  precipitation  of  the  walls  and  thus  avoid  being exposed to the  risk of the  liquids containing in those tanks penetrating into the walls and thus the possibility of the collapse of those and  exposure to  the loss of  liquids and the  economic losses and environmental risks that it causes. This paper deals with a new derivation to prediction the elastic behavior of tank wall supported with fixed ended on three edges and freely at the fourth and subjected to hydrostatic liquid     triangular distributed load using central finite difference method. The new model was verified by compares with the classical model obtained by Timoshenko and Woinowsky-Krieger based on theory of plates and shells with a good agreement. The present parametric study deals with tank wall with length to depth ratios of 1, 2, 3 and 4 were considered. The results obtained from the analysis showed that the maximum deflection increased by 10.3%, 23.7% and 32.5% for L/h=2, 3, and 4 compares with L/h=1.