Published

2002-01-01

Teoría formal de elasticidad: método unificado para la solución de problemas de cuerpos deformables bajo la acción de cargas

Keywords:

elasticidad, diseño mecánico, ley de Hooke, relación de Poisson, ecuaciones diferenciales, ecuación biarmónica, ecuación de compatibilidad, viga en cantilever (es)

Downloads

Authors

  • Diego Luis González Cabrera Escuela Colombiana de Carreras Industriales
  • Francisco Marín Quiroga Universidad Nacional de Colombia

Se estudian los conceptos básicos de la teoría formal de la elasticidad tales cómo esfuerzos, deformaciones, ley de Hooke, relación de Poisson, entre otros. Se muestra corno cualquier problema de elasticidad plana puede ser reducido a un problema de ecuaciones diferenciales parciales, en donde la ecuación a resolver es llamada ecuación biarmónica. Los conceptos introducidos son aplicados en la solución de un problema clásico en mecánica de materiales: viga en cantiléver sometida a una carga puntual en el extremo libre. La solución obtenida se compara con la reportada usualmente en los libros de resistencia de materiales.

Fundamental concepts of the formal theory of elasticity as strength, deformation, Hooke law and Poisson relation are studied. It is shown that all problems of plane elasticity can be reduced to partial - differential - equation systems, where the essential equation is called biharmonic equation. The
relevant principies are applied in the solution of a classic problem in material mechanics: a cantilever beam on the action of a probe charge in the free extreme. The solution are compared with the reported in the material books.

License

Those authors who have publications with this journal, accept the following terms:

a. The authors will retain their copyright and will guarantee the publication of the first publication of their work, which will be subject to the Attribution-SinDerivar 4.0 International Creative Commons Attribution License that permits redistribution, commercial or non-commercial, As long as the Work circulates intact and unchanged, where it indicates its author and its first publication in this magazine.

b. Authors are encouraged to disseminate their work through the Internet (eg in institutional telematic files or on their website) before and during the sending process, which can produce interesting exchanges and increase appointments of the published work.