Reddy, Junuthula NarasimhaRuocco, EugenioLoya Lorenzo, José AntonioNeves, Ana M.A.2022-07-052022-07-052021-08-01Reddy, J. N., Ruocco, E., Loya, J. A., & Neves, A. M. A. (2021). Theories and Analysis of Functionally Graded Beams. In Applied Sciences (Vol. 11, Issue 15, p. 7159). MDPI AG2076-3417https://hdl.handle.net/10016/35399This is a review paper containing the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded straight beams. The classical, first-order, and third-order shear deformation theories account for through-thickness variation of two-constituent functionally graded material, modified couple stress (i.e., strain gradient), and the von Karman nonlinearity. Analytical solutions for bending of the linear theories, some of which are not readily available in the literature, are included to show the influence of the material variation, boundary conditions, and loads.24eng© 2021 by the authors.Atribución 3.0 EspañaAnalytical SolutionsBeamsClassical TheoryFunctionally Graded StructuresModified Couple StressNumerical ResultsShear Deformation Theoriesresearch articleIngeniería Mecánicahttps://doi.org/10.3390/app11157159open access11524Applied Sciences (Switzerland)11AR/0000028807