Abstract

SANDOVAL RIVAS, Ricardo; LUEVANOS ROJAS, Arnulfo; LOPEZ CHAVARRIA, Sandra  and  MEDINA ELIZONDO, Manuel. Modeling for Beams of Rectangular Cross Section with Parabolic Haunches: Part 2. Comp. y Sist. [online]. 2019, vol.23, n.3, pp.1115-1124.  Epub Aug 09, 2021. ISSN 2007-9737.  https://doi.org/10.13053/cys-23-3-2873.

The part 1 of this paper is presented a mathematical model for beams of rectangular cross section with parabolic haunches (symmetric or non-symmetric) subjected to a uniformly distributed load taking into account the bending and shear deformations to obtain the fixed-end moments, carry-over factors and stiffness factors. In this paper is presented a mathematical model for the same type of beams of cross section with parabolic haunches under a concentrated load located anywhere on the beam taking into account the bending and shear deformations to obtain the fixed-end moments using the same procedure. The traditional model considers only bending deformations, and others authors present tables considering the bending and shear deformations, but are restricted to certain relationships. Also, a comparison is made between the traditional model and the proposed model. Besides the effectiveness and accuracy of the developed models, a significant advantage is that fixed-end moments are calculated for any rectangular cross section of the beam using the mathematical equation presented in this paper, which is the main part of this research.

Keywords : Rectangular members; concentrated load; parabolic haunches; bending and shear deformations; fixed-end moments.