This chapter initiates the application of the FEM to structures which satisfy the assumptions of two-dimensional (2D) elasticity (i.e. plane stress or plane strain). Many of the concepts here studied will be useful when dealing with other structural problems in the subsequent chapters. Therefore, this chapter is introductory to the application of the FEM to continuous 2D and 3D structures.
There are a wide number of structures of practical interest which can be analyzed following the assumptions of 2D elasticity. All these structures have a sort of prismatic geometry. Depending on the relative dimensions of the prism and the loading type, the following two categories can be distinguished: Plane stress problems. A prismatic structure is under plane stress if one of its dimensions (thickness) is much smaller than the other two and all the loads are contained in the middle plane of the structure. The analysis domain is the middle section (Figure 4.1). Amongst the structural problems that can be included in the plane stress category we find the analysis of deep beams, plates and walls under in-plane loading, buttress dams, etc.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2009 International Center for Numerical Methods in Engineering (CIMNE)
About this chapter
Cite this chapter
(2009). 2D Solids. Linear Triangular and Rectangular Elements. In: Structural Analysis with the Finite Element Method. Lecture Notes on Numerical Methods in Engineering and Sciences. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8733-2_4
Download citation
DOI: https://doi.org/10.1007/978-1-4020-8733-2_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-8732-5
Online ISBN: 978-1-4020-8733-2
eBook Packages: EngineeringEngineering (R0)