“…Some crippling mechanisms for lateral faces [18,19], based on different yield line patterns, needed iterative procedures to solve the equation that calculates the minimum mechanism failure load, thus, no direct analytical formula could be obtained following this method.…”
“…Some crippling mechanisms for lateral faces [18,19], based on different yield line patterns, needed iterative procedures to solve the equation that calculates the minimum mechanism failure load, thus, no direct analytical formula could be obtained following this method.…”
“…Note that because the springs are elastic, plastic behaviour is not taken into account. The spring stiffness is taken as the elastic web-crippling stiffness, which can be measured during experiments or can be derived theoretically [10]. The sheet section's compressed upper flange is modelled by three rigid beams, connected by hinges to each other and to the mentioned triangles of the model.…”
“…Kim and Wierzbicki (2000) and Brown and Tidbury (1983) extended Kecman's work for biaxial bending of RHS under moment gradient. Bakker (1992) used a kinematic approach to study web crippling of cold-formed hat sections under 3-point bending. Stranghoner et al (1994) used an equilibrium approach to derive an expression for the post buckling of coldformed SHS under 4-point bending.…”
Section: Rigid Plastic Mechanism Analysis Of Tubes Under Bendingmentioning
This paper presents a plastic mechanism analysis for thin-walled circular hollow section (CHS) tubes deforming in a multi-lobe or diamond collapse mode under large deformation pure bending. The fold formation process was such that the shell curvature flattened on the compression side transforming into a definite number of flat triangles attached to each other. The collapse proceeded progressively by folding about the base and sides of these triangular planes and over traveling hinge lines. The collapse mechanism was similar to the diamond crush mode. An existing kinematic model for an axially compressed thin-walled circular tube was modified to predict the collapse curve of a thin-walled tube under bending. Inextensional deformation and rigid plastic material behaviour were assumed in the derivation of the deformation energy. Ovalisation was observed during the test and its deformation energy was determined and found significant. An expression for the plastic collapse moment was obtained by equating the total energy absorbed in bending, rolling and ovalisation to the external work carried out during a given cycle of deformation. Comparisons of the predicted post-buckling moments and slopes of the collapse curves with those obtained from experiments carried out by the authors on coldformed circular hollow sections show very good agreement.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.