SERVICEABILITY LIMIT STATE CHECK AND OPTIMIZATION IN LIMITED PRE-STRESSING USING THE DEVELOPED MATLAB TOOL

Abstract

In this scientific paper, the control of the serviceability limit state and optimization of a prestressed beam using a tool developed in the Matlab environment are presented. The concept of the analysis is based on the idea of using the tension strength capacity of concrete in the domain of limited prestress. For this analysis, a Matlab tool was used, intended for the "local" level of analysis, in the preliminary stages of calculations. The paper consists of the three chapters. In the first chapter it is showed possibility of saving materials when create prestressed beam, and approach to analysis from the aspect of the serviceability limit state. Then, through the second chapter, it is processed basic information about the concept of prestressing. Finally, the third chapter describes the flow of prestressed girder analysis using a tool developed in the Matlab environment. The developed software tool is able to determine the initial prestressing force in accordance with the allowed stresses in steel and concrete. Then, based on the initial prestressing force, determine the required number of strand to form the tendons. After that, show the losses of the prestressing force, as well as the values of the final prestressing force after the time losses. The tool has the ability to control the stress in the concrete at the moment cable tensioning, as well as during exploitation.