ABSTRACT
Beam columns are of interest, among other reasons, in predicting buckling according to the Euler criterion. The z-displacement w of the neutral axis is assumed to depend only on x and the x-displacement. Also, u is modeled as
(9.8)
in which u0(x) represents the stretching of the neutral axis. It is necessary to know u0(x),
w(x) and at xe and xe+1. The interpolation model is now u(x, z, t)=(1 x)Φm1γm1−z(1 x x2 x3)Φb1γb1,
(9.9)
and
9.1.1.4 Temperature Model: One Dimension
The temperature variable to be determined is T−T0, in which T0 is a reference temperature assumed to be independent of x. The governing equation for a onedimensional conductor is
