Parametric analysis of prestressed beam variation force with nonlinear feature through nonlinear finite element analysis

Resumo

Prestressing concrete has been used as a good options to beams and plates mainly those structures
which has enough strength to support large loads and distance. Parameters like fields strain and tension must
be considered in the mathematical models to design structures and predicts its behavior. In this article the main
goal is to analyze the relationship between loads and displacement of prestressing concrete structures with bound.
The approach taking into account the methods of nonlinear finite elements to describe the equations of tensor
fields regarding the strain/tension tensor fields. In order to analysis physical nonlinearities constitutive models are
assumed. On the other hand the geometrical nonlinearities are analyzed by means of a beam supported in both
ends with rectangular transversal section. The strain of the beam is given by the Euler-Bernoulli theory. In addition
the prestressing tendon is modeled as truss element. With analytical techniques based on nodal equilibrium forces
are employed to predict its mechanical behavior. A huge amount of results coming from literature is performed
in order to get news insights regarding the displacements in cables. The equilibrium conditions are obtained by
means of the equations regarding the nodal displacements. Thus the tangent stiffness matrix is assembled. Finally
the article is closed by comparing the numerical with experimental results.