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+//CHAPTER 11 ILLUSRTATION 1 PAGE NO 290
+//TITLE:VIBRATIONS
+clc
+clear
+//===========================================================================================
+//INPUT DATA
+PI=3.147
+D=.1//                           DIAMETER OF SHAFT IN m
+L=1.10//                          LENGTH OF SHAFT IN m
+W=450//                          WEIGHT ON THE OTHER END OF SHAFT IN NEWTONS
+E=200*10^9//                     YOUNGS MODUKUS OF SHAFT MATERIAL IN Pascals
+//   =========================================================================================
+A=PI*D^2/4//                    AREA OF SHAFT IN mm^2
+I=PI*D^4/64//                   MOMENT OF INERTIA 
+delta=W*L/(A*E)//               STATIC DEFLECTION IN LONGITUDINAL VIBRATION OF SHAFT IN m
+Fn=0.4985/(delta)^.5//         FREQUENCY OF LONGITUDINAL VIBRATION IN Hz
+delta1=W*L^3/(3*E*I)//           STATIC DEFLECTION IN TRANSVERSE VIBRATION IN m
+Fn1=0.4985/(delta1)^.5//        FREQUENCY OF TRANSVERSE VIBRATION  IN Hz
+//============================================================================================
+//OUTPUT
+printf('FREQUENCY OF LONGITUDINAL VIBRATION =%.3f Hz\n FREQUENCY OF TRANSVERSE VIBRATION =%.3f Hz',Fn,Fn1)
+
+
+