Lateral-Torsional Buckling of a Bidirectional Exponentially Graded Thin-Walled C-Shaped Beam

• Published in: Mechanics of composite materials Vol. 58; no. 1; pp. 53 - 68
• Main Authors: Rezaiee-Pajand, M., Masoodi, A. R., Alepaighambar, A.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.03.2022; Springer; Springer Nature B.V
• Subjects: Beam theory (structures); Buckling; Ceramics; Characterization and Evaluation of Materials; Chemistry and Materials Science; Classical Mechanics; Composite materials; Composites; Euler-Bernoulli beams; Exponential functions; Functionally gradient materials; Glass; Material properties; Materials Science; Mathematical analysis; Natural Materials; Shear modulus; Solid Mechanics; lateral bracing; thin-walled section; monosymmetric C-shaped beam; bidirectional exponentially functionally graded material; lateral-torsional buckling
• ISSN: 0191-5665; 1573-8922
• DOI: 10.1007/s11029-022-10011-8

Based on the Euler–Bernoulli beam theory, an analytical closed-form solution to the lateral-torsional buckling moment of a bidirectional exponentially functionally graded monosymmetric C-shaped beam is proposed. The Young’s and shear moduli of the beam vary along its height and length direction. An exponential function is used to describe the variation in material properties along both the directions. For calculating the effective material properties along these directions, the rule of mixture is employed. Moreover, the effect of distributed lateral bracing is considered in the solution presented. Several numerical examples are solved to illustrate the high accuracy and performance of the solution.