Using AL-HARAKA AL-GOHEAREA THEORY in Explanation the Vibration Analysis results of Simply Supported beam with micro Crack

In this research it had been using the Finite Element Method (FEM) with computer application(ANSYS) to analysis the vibration of simply supported beam(s.s.b), the first five natural frequency with and without micro crack is calculated and compared the results, which showed the influence on the stiffens ,using(AL-Haraka AL-Gohearea theory) to explained this effects.Another comparison took place to study the effect of outside load on the natural frequency and mod shape of (s.s.b) with and without micro crack.