An Efficiency Method for Assessment of Shear Stress in Prismatic Beams with Arbitrary Cross-Sections

Abstract

The dimensions of a bearing structure tend to be designed as slender as possible to ensure aesthetics and to save material, which makes the structure more susceptible to damage caused by shear forces. When the structure is subjected to an earthquake, the shear failure is even the primary mode of failure. Research on shear stress has always been of great interest to scientists. This paper presents an efficient method for the assessment of the shear stress for prismatic beams with arbitrary cross-section. The numerical method implemented in a MATLAB environment is validated by analyzing five examples. The study shows the efficiency and reliability of the numerical method, which allows for more precise analysis and design of cross-sections. Therefore, significant savings of material can be reached, which will have a positive impact on our environment and which can help sustainable growth.

Shear Lag Analysis due to Flexure of Prismatic Beams with Arbitrary Cross-Sections by FEM

“…The main reason for this difference is the shear correction factor. It is emphasized that the value of the shear correction factor of the RWB takes into account the shape of the cross-section and the Poisson's ratio [37]. 2.…”

“…( 35) and Φ̃S CY in Eq. ( 36) are approximated by the FEM, which is presented in [37]. Finally, the value Φ S CY is calculated from Eq.…”

“…where A Z P = k Z A is defined as the primary shear area, k Z is the shear correction factor obtained from the definition given in [37]. It is worthy to note that the shear correction factor k Z in this study considers Poisson's ratio, which is neglected in [27].…”