Abstract

Abstract An analytical study aiming the design of cylindrical liquid storage tanks resting on deformable foundations is developed in this work. The soil under the tanks is modeled as an elastic linear medium. The cylindrical wall is considered rigidly connected to the plate foundation. Here, concrete tanks are emphasized, although the study can be extended to other construction materials. For the analysis of the design forces acting on the tanks, efficient and simplified approximate expressions are derived based on rigorous analytical theories for thin shells and circular plate on elastic foundations. To verify the proposed approximate expressions and investigate the influence of the foundation deformability on displacements and design forces, parametric analyses of concrete tanks with different soil stiffness values are presented. The results illustrate the strong influence of the foundation stiffness on the tank design quantities and a very good performance of the simplified expressions.

Highlights

  • Cylindrical circular concrete tanks resting on the ground are commonly used in water-supply system and wastewater treatment plants

  • For the analysis of the design forces acting on the tanks, efficient and simplified approximate expressions are derived based on rigorous analytical theories for thin shells and circular plate on elastic foundations

  • This paper presents a practical analytical study on structural behavior of cylindrical liquid storage tanks resting on deformable foundation

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Summary

Introduction

Cylindrical circular concrete tanks resting on the ground are commonly used in water-supply system and wastewater treatment plants. Several researchers have shown that the deformability of the soil under the base slab has a strong influence on the forces and moments acting along the tank walls To evaluate this influence, Kukreti et al [1] developed an analytical study on the behavior of a cylindrical tank resting on an isotropic elastic soil medium. A recent analytical study about cylindrical tank on deformable foundation was developed by Silva [11] All these studies have shown a great influence of the soil stiffness on the forces and moments in the tank wall and base plate. To investigate the influence of the foundation deformability on the important design quantities, a cylindrical tank rested on soils with four different levels of stiffness (soft, medium, stiff and very stiff) is analyzed and the results are presented and discussed. The comparative analyses between the closed and approximate solutions show a very good performance of the simplified expressions

Preliminary considerations
Evaluation of interaction forces at the wall-foundation plate joint
Computation of displacements and forces along of the cylindrical wall
Approximate analysis of the plate foundation
Numerical examples and discussion of results
Conclusions
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