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Computers and Concrete
  Volume 10, Number 2, August 2012 , pages 121-133
DOI: https://doi.org/10.12989/cac.2012.10.2.121
 


Software for application of Newton-Raphson method in estimation of strains in prestressed concrete girders
Milan Gocic and Enis Sadovic

 
Abstract
    Structures suffer from damages in their lifetime due to time-dependant effects, such as fatigue, creep and shrinkage, which can be expressed by concrete strains. These processes could be seen in the context of strain estimation of pre-stressed structures in two phases by using numerical methods. Their aim is checking and validating existing code procedures in determination of deformations of pre-tensioned girders by solving a system of nonlinear equations with strains as unknown parameters. This paper presents an approach based on the Newton-Raphson method for obtaining the stresses and strains in middle span section of pre-stressed girders according the equilibrium state.
 
Key Words
    pre-tensioning; strains; linear theory; Newton-Raphson method; nonlinear equations.
 
Address
Milan Gocic: University of Nis, Faculty of Civil Engineering and Architecture, Aleksandra Medvedeva 14, 18 000 Nis, Serbia; Enis Sadovic: Ambijent doo, Kej skopskih zrtava 18, 36300 Novi Pazar, Serbia
 

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