The Moment-Distribution Method for Statically Indeterminate Beams, Considering the Shear Deformations

Arnulfo Luévanos Rojas; Ramón Luévanos Rojas; Facundo Cortés Martinez; Armando Cesar Uranga Sifuentes; Rosa Margarita Luévanos Soto

doi:10.15866/irehm.v5i4.16820

The Moment-Distribution Method for Statically Indeterminate Beams, Considering the Shear Deformations

Arnulfo Luévanos Rojas^(1*), Ramón Luévanos Rojas⁽²⁾, Facundo Cortés Martinez⁽³⁾, Armando Cesar Uranga Sifuentes⁽⁴⁾, Rosa Margarita Luévanos Soto⁽⁵⁾

^(*) Corresponding author

Authors' affiliations

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract

This paper proposes a method for analysis of statically indeterminate beams, considering the shear deformations, which is an extension to the moment-distribution method, which is used to analyze all kinds of continuous beams. This methodology considers the shear deformation and flexure. The traditional method takes into account only the flexure deformation and without taking into account the shear deformation, this is how it usually develops structural analysis of statically indeterminate beams. It also makes a comparison between the proposed method and the traditional method, the differences between both methods are greater, especially members of short length as can be seen in the results tables of the problems considered in the traditional method not all values are on the side of safety. Therefore, the usual practice, without to consider the shear deformations in clear short between its supports, will not be a recommended solution and it is proposed the use of considering shear deformations and also is more attached to reality.
Copyright © 2017 Praise Worthy Prize - All rights reserved.

Keywords

Shear Deformations; Poisson's Ratio; Moment of Inertia; Elasticity Modulus; Shear Modulus; Shear Area

Full Text:

PDF

References

Nacimiento del analisis estructural. Available in:
http://www.virtual.unal.edu.co/cursos/sedes/manizales/4080020/Lecciones/Capitulo%201/NACIMIENTO%20DEL%20ANALISIS%20ESTRUCTURAL%20.htm.

Ing. Andrea Franjul Sanchez. Available in:

http://andreafranjul.blogspot.com/2009/06/nacimiento-del-analisis-estructural.html.

R. W. Clough, J. Penzien. Dynamics of Structures, Mc Graw-Hill 1975.

A. Tena-Colunga, Análisis de Estructuras con Métodos Matriciales, Limusa 2007.

J. S. Przemieniecki, Theory of Matrix Structural Analysis, Mc Graw-Hill 1985.

Flexión mecánica. Available in:

http://es.wikipedia.org/wiki/Flexi%C3%B3n_mec%C3% .

J. O. Jaramillo Jiménez, Análisis clásico de estructuras. Available in: http://books.google.com.mx/books?id=mwohfYq9zC8C&pg=PA30&lpg=PA30&dq=nacimiento+del+analisis+estructural&source=bl&ots=TqTl5avuMY&sig=dgomgcVJ8CKm1HZSfrKV2sOEIs8&hl=es&ei=FNluTYbSNZSksQPz54nSCw&sa=X&oi=book_result&ct=result&resnum=6&ved=0CDkQ6AEwBQ#v=onepage&q&f=false.

R. Luthe Garcia, Análisis Estructural, Alfaomega 1998.

H. H. West, Analysis of Structures, John Wiley & Sons 1984.

J. C. McCormac, Structural Analysis: using classical and matrix methods, John Wiley & Sons, 2007.

J. P. Laible, Análisis Estructural, Mc Graw-Hill 1988.

Appendix. Formulario de Teoría de Estructuras. Matrices de Rigidez Elementales, de Masa Congruentes, y de Rigidez Geométrica. Available in:

http://www.esiold.us.es/php/infgen/aulav/teorestructurasind/Matrices_de_rigidez_elementales.pdf.

A. Luévanos-Rojas, Seismic Analysis of a Building of four Levels; Making a Comparison, Despising and Considering the Deformations by Sharp, International Review Civil Engineering (IRECE), vol.1, no.4, pp. 275-279, 2010.

Refbacks

There are currently no refbacks.

Username
Password
Remember me