Estimation of Collapse Load for Thin-Walled Rectangular Tubes Under Bending

Abstract

In two recent papers, the authors investigated the bending collapse load of rectangular tubes consisting of a perfectly elastoplastic material. From these investigations, it is found that the collapse may also occur due to the buckling of web in a rectangular tube under bending, when the tube has a cross section with a large aspect ratio of web to flange b/a. In order to evaluate the collapse load of such tubes under bending, the effective width concept given by Rusch and Lindner for a plate compressed with stress gradient was used to calculate the postbuckling strength of the tube web. However, in the solution of Rusch and Lindner, the plate is supported at only one longitudinal edge with the other longitudinal edge being free. This boundary condition is obviously different from that of the tube web. This paper complements the previous work by addressing the postbuckling strength of the web under stress gradients. The postbuckling strength of the web under stress gradients is also calculated using the effective width concept given in AS/NZS 4600 standard and North American specification (NAS) for a plate compressed with stress gradient and supported at both two longitudinal edges. Moreover, the web slenderness also affects the condition for reaching cross-sectional fully plastic yielding when the web is wider. A new method is proposed to predict the maximum moment considering the effect of web slenderness on the cross-sectional fully plastic yielding. The validity of the collapse load estimation is checked by the results of FEM (finite element method) numerical analysis.

Crashworthiness of Additively Manufactured Lattice Reinforced Thin-Walled Tube Hybrid Structures

“…Energy-absorbing materials and structures are widely used in industrial fields such as aerospace technology, high-speed railways, and automobiles, as well as in our daily lives [1][2][3]. The lightweight, high-strength and impact-resistant thin-walled structures are widely used as energy-absorbing structures in aerospace, automotive, and other engineering fields to dissipate the kinetic energy generated by impact and improve the crashworthiness of the system because of their excellent energy absorption efficiency and light weight.…”

Collapse Load for Thin-Walled Rectangular Tubes

“…We selected "Collapse load for thin-walled rectangular tubes under bending" as the subject of these topics. The research content of this chapter is based on our recent paper [2], and this chapter shows the results of numerical simulations in detail. In order to prevent torsional behavior, a rigid lid was adopted as suggested by Guarracino [3].…”

Determination of Optimal Cross-Section Dimensions of Rectangular Hollow Sections Under Oblique Bending: Analytical and Numerical Study.

“…Despite high material costs brought by the wide use of the RHS members in the industry, an insignificant number of rigorous research has been devoted to specifying their optimal cross-section dimensions for the loading configuration of oblique bending to reduce their material costs [15][16][17][18]. Comparatively speaking, analytical studies which determine the optimal cross-section dimensions of RHSs for oblique bending are relatively immature compared to other loading configurations like axial compression and pure bending [17][18][19][20][21][22]. In order to fill this noticed deficiency in literature, this analytical study has been dedicated to the identification of the optimal crosssection dimensions of RHS members subjected to oblique bending.…”