ISSN: 2168-9717

Journal of Architectural Engineering Technology
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  • Research Article   
  • J Archit Eng Tech 2013, Vol 2(2): 111
  • DOI: 10.4172/2168-9717.1000111

Mechanical Elements of Rectangular Nonprismatic Members for Symmetrical Parabolic Haunches Subjected to a Uniformly Distributed Load

Arnulfo Luévanos Rojas*
Faculty of Engineering, Science and Architecture, Universidad Juarez del Estado de Durango, Avenue S/N, Fracc. Philadelphia, CP 35010, Gómez Palacio, Durango, Mexico
*Corresponding Author : Arnulfo Luévanos Rojas, Faculty of Engineering, Science and Architecture, Universidad Juarez del Estado de Durango, Avenue S/N, Fracc. Philadelphia, CP 35010, Gómez Palacio, Durango, Mexico, Email: arnulfol_2007@hotmail.com

Received Date: Jun 18, 2013 / Accepted Date: Aug 28, 2013 / Published Date: Aug 30, 2013

Abstract

This paper presents mechanical elements of rectangular nonprismatic members for symmetrical parabolic haunches subjected to a uniformly distributed load by through analytical models, these are: fixed-end moments, carry-over factors and stiffness factors. The properties of the rectangular cross section of member vary along its axis “x”, i.e., the width “b” is constant and the height “h” varies along the beam, this variation is parabolic type. Traditional methods for nonprismatic members to obtain the deflections used the Simpson’s rule, or any other technique to perform numerical integration, and the tables showing some authors are restricted to certain relationships. Also a comparison is made between the proposed models and tables that show some authors. Besides the effectiveness and accuracy of the developed models, a significant advantage is that fixed-end moments, carry-over factors and stiffness factors are calculated for any rectangular cross section of the beam using the mathematical formulas.

Keywords: Nonprismatic members; Parabolic haunches; Fixed-end moments; Carry-over factors; Stiffness factors

Citation: Luévanos Rojas A (2013) Mechanical Elements of Rectangular Nonprismatic Members for Symmetrical Parabolic Haunches Subjected to a Uniformly Distributed Load. J Archit Eng Tech 2: 111. Doi: 10.4172/2168-9717.1000111

Copyright: ©2013 Luévanos Rojas A. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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