Abstract
In this chapter, we shall be concerned with the yield point state of perfectly plastic plates whose thickness is small compared to the dimensions of its plane faces. The load acting on the plate is normal to its surface and is regarded as positive if it is pointing vertically downward. The vertical displacement of the middle surface is assumed to be generally small compared to the plate thickness, and plane vertical sections are assumed to remain plane during the bending. The deformation of the plate is therefore entirely defined by the vertical displacement of its middle surface, which remains effectively unstrained during the bending. A theory based on this model is found to be satisfactory not only in the elastic range but also in the plastic range of deflections. However, when the deflection of the plate exceeds the thickness, significant membrane forces are induced by the bending, the effect of which is to enhance the load carrying capacity of the plate.
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Chakrabarty, J. (2009). Plastic Bending of Plates. In: Applied Plasticity, Second Edition. Mechanical Engineering Series. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-77674-3_4
Download citation
DOI: https://doi.org/10.1007/978-0-387-77674-3_4
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-77673-6
Online ISBN: 978-0-387-77674-3
eBook Packages: EngineeringEngineering (R0)