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)

(1) Facultad de Ingenieria, Ciencias y Arquitectura, Universidad Juárez del Estado de Durango, Mexico
(2) Facultad de Ingenieria, Ciencias y Arquitectura, Universidad Juárez del Estado de Durango, Mexico
(3) Facultad de Ingenieria, Ciencias y Arquitectura, Universidad Juárez del Estado de Durango, Mexico
(4) Facultad de Ingenieria, Ciencias y Arquitectura, Universidad Juárez del Estado de Durango, Mexico
(5) Facultad de Ingenieria, Ciencias y Arquitectura, Universidad Juárez del Estado de Durango, Mexico
(*) Corresponding author


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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.
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Keywords


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

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References


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