ABSTRACT
After studying a number of one-dimensional problems and two-dimensional field problems with only one unknown or degree of freedom at a point, we are now ready to consider a different class of two-dimensional problems. This class involves analysis of stress and deformations with more than one degree of freedom at a point. In the case of plane deformation, we encounter subcategories such as plane stress, plane strain, and axisymmetric; in the case of bending, we deal with problems such as bending of plates, slabs, and pavements. For the two-dimensional plane deformation problems, the approximation function provides for rigid body displacements and constant states of strains: However, the function does not include all terms in the polynomial expansion represented by the Pascal's triangle. Moreover, if the design limits allowable deformations, it may be possible to check if the loading causes deformations within allowable limits.
