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Limit Loads of Structures
Published in Lingyi Lu, Junbo Jia, Zhuo Tang, Structural Mechanics, 2022
Lingyi Lu, Junbo Jia, Zhuo Tang
By further increasing the external load, the first plastic hinge at section 3 is formed. The beam will be converted to a statically determinate beam, shown in Figure 9.5b as long as the first plastic hinge forms at section 3. Since a plastic hinge can offer no additional resistance to deformation, keeping on increasing the load will lead to a moment redistribution, that is, the forces are redistributed to other parts of the structure. Solving the statically determinate beam provides the moment diagram (Figure 9.5c) in the elastic-plastic stage. One can further increase the external load until the moment at section 2 reaches the plastic moment, i.e., 2λ−Mp2=Mp which yields, λc=3Mp4
On the next generation of design specifications for steel structures
Published in Alphose Zingoni, Insights and Innovations in Structural Engineering, Mechanics and Computation, 2016
Kim J.R. Rasmussen, Hao Zhang, Francisco de Sena Cardoso
The majority of existing steel design methods, including those in American steel specification AISC 360-10 (2010), Australian Standard AS4100 (1998) and Eurocode 3 EC3-1.1 (2005), are based on member strength limit states, evaluated using elastic structural analysis. A structural steel system is treated as a set of independent members (beams, columns), and connections. System behaviour is addressed only implicitly through the use of effective length factors. The design philosophy generally is based on a “first-hinge” approach, i.e., the strength limit state of the frame is defined when one or more members in the structure develops a fully plastic hinge. Extensive research over the last two decades has shown that second order inelastic structural analysis is most capable of capturing the ultimate limit state strength and overall behaviour of a real structural system, provided that all sources of major nonlinear actions are included in the analysis, notably geometric and material nonlinearities, residual stress as well as initial geometric imperfections.
Filament Wound Retrofitting of Reinforced Concrete Bridge Structures
Published in Golam M. Newaz, Ronald F. Gibson, Proceedings of the Eighth Japan-U.S. Conference on Composite Materials, 2019
C. L. Mullen, J. R. Rice, R. M. Hackett, G. L. Ma
A second column failure mode results from a loss of confinement of the flexural plastic hinge region where, subsequent to flexural cracking, cover concrete crushing and spalling, buckling of the longitudinal reinforcement and compression failure of the concrete core initiate plastic hinge deterioration, associated with a shortening of the column in the plastic hinge zone. Plastic hinge failures typically occur with some displacement ductility and thus are less destructive. Because of their large inelastic flexural deformations, they are more desirable than brittle shear failures of the entire column.
Nonlinear mechanics of a thin-walled honeycomb with zero Poisson’s ratio
Published in Mechanics Based Design of Structures and Machines, 2023
Leipeng Song, Zhiyong Yin, Taoxi Wang, Xing Shen, Jianghai Wu, Mingzhu Su, Hongjie Wang
In terms of the structural engineering beam theory, plastic hinge is normally used to describe the deformation of a section of a beam where plastic bending occurs (Megson 2014). There are the phenomena of producing a plastic hinge at point A along with increasing of the load in tension, as shown in Figure 5. Suppose that the plastic angle is γ0 for a given force P. The second order differential equation of beam AO’ can be obtained as follow: with
Experimental investigation of the bearing capacity of deformed segmental tunnel linings strengthened by a special composite structure
Published in Structure and Infrastructure Engineering, 2023
Xian Liu, Zijie Jiang, Herbert A. Mang
When materials fail either in the compressive or the tensile zone, the stiffness of the cross-section decreases rapidly, resulting in a plastic hinge. Herein, materials failure in the compressive zone means that concrete is crushing or steel is yielding in the segment or at the joint. Material failure in the tensile zone means that the steel of the bolt or of the plate is yielding. Crushing of concrete was observed in the test, while yielding of steel follows from the test data.
Effect of bonding parameters on compression mechanical properties of bi-directional corrugated honeycomb aluminum
Published in The Journal of Adhesion, 2022
Youdong Xing, Siyi Yang, Shiqing Lu, Pengfei Zhang, Yukun An, John Zhai
The buckling is the main way for the material to absorb energy. It refers to the process of plastic deformation and bending to form a plastic hinge when the material is subjected to external load. The types of buckling with different parameters are not similar, then the materials gradually enter densification.