Design Aids for Beams of Rectangular Cross Section with Parabolic Haunches: Part 2

Arnulfo Luévanos Rojas, Rosa Margarita Luévanos Soto, Sandra López Chavarría, Manuel Medina Elizondo


In this paper, the most used design aids for beams of rectangular section with parabolic haunches are presented. The beam is found subjected to concentrated load localized anywhere on the beam,  and takes into account the bending and shear deformations to obtain the fixed-end moments factors, which is the main contribution of this research work. The first part of this work presents the design aids for the same type of beams to obtain the carry-over factors, the stiffness factors, and the fixed-end moments factors are obtained for a uniformly distributed load. The variables and the simplifications are the same as in the part 1. Also, a numerical example is shown using the design aids, and it is compared with the equations previously presented by the authors in a paper prior to this document, and the results are equal to a three-digit approximation. Therefore, design aids provide a great tool of help for structural engineers by the greatly time-savings.


Design aids, rectangular berms, parabolic haunches, concentrated load, fixed-end moments factors

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