Prismatic structural members: Cross section flat and normal to the axis?

Abstract: In the study of prismatic bars subjected to bending forces, the authors of Strength of Materials generally assume the Navier-Bernoulli simplifying hypothesis which states that flat cross sections (CS) normal to their axes before deformation remain flat and normal to their axes. A more deta...

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Autores principales:	Irles Más,Ramón, Pomares Torres,Juan Carlos, Atienza Reales,José Ramón
Lenguaje:	English
Publicado:	Escuela de Construcción Civil, Pontificia Universidad Católica de Chile 2017
Materias:	Prismatic member bending flat cross section warping.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-915X2017000300507
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spelling	oai:scielo:S0718-915X20170003005072018-03-05Prismatic structural members: Cross section flat and normal to the axis?Irles Más,RamónPomares Torres,Juan CarlosAtienza Reales,José Ramón Prismatic member bending flat cross section warping. Abstract: In the study of prismatic bars subjected to bending forces, the authors of Strength of Materials generally assume the Navier-Bernoulli simplifying hypothesis which states that flat cross sections (CS) normal to their axes before deformation remain flat and normal to their axes. A more detailed study in terms of Elasticity, however, shows how approximate this hypothesis can be for some basic prismatic bar problems in which displacements can readily be obtained. When or whether the surface remains flat, absolutely flat, or not is a point of debate among engineers and architects alike and even for structural specialists, who look deeper into this kind of issues. This paper proposes a detailed study of said problems and clarifies them. Contrary to what should be expected according to well-established literature, the CS of any bar subjected to pure bending forces does not remain flat after deformation. Our analysis revisits accepted displacement solutions for tension, bending and torque and will hopefully remove the misunderstanding leading to a flat geometry for the deformed CS. It also includes the correct interpretation of the warped geometry from the exact equations we obtain in this paper, which we illustrate with results from finite elastic models.info:eu-repo/semantics/openAccessEscuela de Construcción Civil, Pontificia Universidad Católica de ChileRevista de la construcción v.16 n.3 20172017-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-915X2017000300507en10.7764/rdlc.16.3.507
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Prismatic member bending flat cross section warping.
spellingShingle	Prismatic member bending flat cross section warping. Irles Más,Ramón Pomares Torres,Juan Carlos Atienza Reales,José Ramón Prismatic structural members: Cross section flat and normal to the axis?
description	Abstract: In the study of prismatic bars subjected to bending forces, the authors of Strength of Materials generally assume the Navier-Bernoulli simplifying hypothesis which states that flat cross sections (CS) normal to their axes before deformation remain flat and normal to their axes. A more detailed study in terms of Elasticity, however, shows how approximate this hypothesis can be for some basic prismatic bar problems in which displacements can readily be obtained. When or whether the surface remains flat, absolutely flat, or not is a point of debate among engineers and architects alike and even for structural specialists, who look deeper into this kind of issues. This paper proposes a detailed study of said problems and clarifies them. Contrary to what should be expected according to well-established literature, the CS of any bar subjected to pure bending forces does not remain flat after deformation. Our analysis revisits accepted displacement solutions for tension, bending and torque and will hopefully remove the misunderstanding leading to a flat geometry for the deformed CS. It also includes the correct interpretation of the warped geometry from the exact equations we obtain in this paper, which we illustrate with results from finite elastic models.
author	Irles Más,Ramón Pomares Torres,Juan Carlos Atienza Reales,José Ramón
author_facet	Irles Más,Ramón Pomares Torres,Juan Carlos Atienza Reales,José Ramón
author_sort	Irles Más,Ramón
title	Prismatic structural members: Cross section flat and normal to the axis?
title_short	Prismatic structural members: Cross section flat and normal to the axis?
title_full	Prismatic structural members: Cross section flat and normal to the axis?
title_fullStr	Prismatic structural members: Cross section flat and normal to the axis?
title_full_unstemmed	Prismatic structural members: Cross section flat and normal to the axis?
title_sort	prismatic structural members: cross section flat and normal to the axis?
publisher	Escuela de Construcción Civil, Pontificia Universidad Católica de Chile
publishDate	2017
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-915X2017000300507
work_keys_str_mv	AT irlesmasramon prismaticstructuralmemberscrosssectionflatandnormaltotheaxis AT pomarestorresjuancarlos prismaticstructuralmemberscrosssectionflatandnormaltotheaxis AT atienzarealesjoseramon prismaticstructuralmemberscrosssectionflatandnormaltotheaxis
_version_	1714206287478128640

Prismatic structural members: Cross section flat and normal to the axis?

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