The plate in Figure 7.70 has edge dimensions \(a\) and \(b\) and is made from a \([90 / 0 / 90]_{s}\) symmetric cross-ply laminate. The plate is simply supported on all edges and is subjected to a single in-plane shear load \(N_{x y}\) along its edges as shown. Answer the following questions below in terms of variables, not numerical values. Do not try to solve the equations, just set them up:

(a) write the differential equation governing the buckling behavior of the plate,

(b) write the boundary conditions for the plate, and

(c) is a solution of the form shown in Equation 7.152 in the textbook possible for this problem? If so, why? If not, why not?

Transcribed Image Text:

FIGURE 7.70 Nxy Nxy