Analytical Solutions of Functionally Graded Curved Beams under an Arbitrarily Directed Single Force

Liangliang Zhang, Lange Shang and Yang Gao

Mathematical Problems in Engineering, 2019, vol. 2019, 1-11

Abstract:

A functionally graded curved beam subjected to a shear tension force as well as a concentrated force at the free end is solved based on the inverse method, and a general two-dimensional solution is presented. The explicit expressions are derived by assuming that the elastic properties within curved beams vary in the radial direction according to a power law, i.e., E = E 0 r n , but are constant across the depth. After degenerating it into the isotropic homogeneous elastic cases, the results are in good consistency with existing analytical solutions. The stresses and displacements are firstly observed in different forms in terms of the different power function exponent . These results will be useful as a guide for designing devices or as benchmark to assess other approximate methodologies.

Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2019/4925379.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2019/4925379.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4925379

DOI: 10.1155/2019/4925379

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().