Two-Dimensional Elastic Stress Analysis of a Beam under Asymmetrical Four-Point Bending

• Published in: Transactions of the Japan Society of Mechanical Engineers Series A Vol. 61; no. 582; pp. 367 - 373
• Main Authors: Kasano, Hideaki, Kasuga, Yukio
• Format: Journal Article
• Language: Japanese
• Published: The Japan Society of Mechanical Engineers 1995
• Subjects: Asymmetrical Four-Point Bending; CFRP Composites; Elementary Beam Theory; Pure Shear Stress State; Shear Test Method; Two-Dimensional Elasticity Theory
• ISSN: 0387-5008; 1884-8338
• DOI: 10.1299/kikaia.61.367

We first predict using the elementary beam theory that a loading system of asymmetrical four-point bending (AFPB) applied to a beam produces a pure shear loading state through the middle section of the beam. For further investigation, we attempt a detailed analytical study of the stress state in a beam of infinite length subjected to AFPB loading system within the framework of the two-dimensional elasticity theory. The stress function approach is employed, and the principle of the superposition and the method of Fourier transforms are also used in the analysis. The numerical calculations are carried out for the stress components associated with a pure shear stress field.