ABSTRACT
The equation for the beam-column must be solved for implementation of the p-y method, and a derivation is shown in this chapter. An abbreviated version of the equation is shown and can be solved by a closed-form method for some purposes, but a general solution can only be made by a numerical procedure. Both of these kinds of solution are presented. Also presented is the use of dimensional analysis to develop nondimensional expres-
sions for the case where Epy =kpyx, a solution for linearly increasing reaction that is most useful for clays. An example problem is worked to show the relevance of this case to practical applications. The solution with the linearly increasing reaction is also helpful in demonstrating the nature of the nonlinear method of analysis, and the method can be used in checking computer solutions that are presented later.
