Abstract

AbstractOptimization techniques may be effective in finding alternative design of post-tensioned slabs to improve their mechanical behaviour, particularly reducing the bending moments. Post-Tensioned (PT) concrete one-way slabs are one of the widely used slabs because of their good performance and cost effectiveness compared with other slab types. The objective of this study is to develop three-dimensional Finite Element (FE) model for the optimization of bonded PT concrete one-way slab. The FE software package ANSYS was used to find the optimum strain energy and area of PT tendons. The interface between PT tendon and the surrounding concretes was also modeled, allowing the tendon to keep its shape during slab deformation. Contact algorithm and material nonlinearity were considered in the FE model. The total strain energy of bonded PT concrete slab was considered as the objective function. The design variables are the area of PT tendons, the initial stress in tendons and the eccentricity of the tendon pro...

Highlights

  • PT concrete slab is broadly used for residential buildings, hotels, factories and hospitals because of its good performance and cost effectiveness compared with other slab types

  • Several design variables and many practical constraints are contributory in the design of PT slab; so that the optimum design of PT slabs is challenging to the designers

  • We conclude that the optimization of area of PT tendons of the post tensioned slab is very important because, it enable us to find the optimal area of PT tendon with low cost and suitable service conditions

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Summary

Introduction

PT concrete slab is broadly used for residential buildings, hotels, factories and hospitals because of its good performance and cost effectiveness compared with other slab types. Ellobody and Bailey (2008) investigated the structural behaviour of bonded PT one-way spanning concrete slabs in fire conditions They developed a nonlinear FE model for the analysis of post- tensioned bonded concrete slabs at elevated temperatures. Three-dimensional FE model was developed using ANSYS to study the optimum design of bonded PT concrete slab. FE analysis is applied to optimize the area of tendons used to reinforce PT slab subjected to static loading. To minimize the SE, it is necessary to respect the imposed constraints conditions: normal stress in concrete, stress in steel tendon, shear stress in concrete and displacement at mid-span of the slab

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