Fracture or cracking is a problem that society has faced for as long as there have been human-made structures. The fracture problems are mainly divided into two categories, the crack growth or crack propagation problem and the problem of analyzing changes in the mechanical behaviour of structures after cracking. In the present study, in addition to introducing two new numerical methods in analysis of mechanical behavior of cracked structures, the effects of fracture occurrence on buckling critical load and natural frequencies of a particular type of two-dimensional structure, namely functionally graded plates with symmetric distribution of properties through the thickness, based on the dir="LTR" Key Words Cracked Plate, Functionally Graded Materials (FGM) with Symmetric Distribution, Static Buckling, Free Vibration, Ordinary Spline Finite Strip Method, Extended Spline Finite Strip Method, Nodal Release Approach, Approximation Space Enrichment Approach.