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+//CHAPTER 11 ILLUSRTATION 10 PAGE NO 296
+//TITLE:VIBRATIONS
+//FIGURE 11.18
+clc
+clear
+//===========================================================================================
+//INPUT DATA
+PI=3.147
+g=9.81// ACCELERATION DUE TO GRAVITY IN N /m^2
+E=200*10^9// YOUNGS MODUKUS OF SHAFT MATERIAL IN Pascals
+D=.03// DIAMETER OF SHAFT IN m
+L=.8// LENGTH OF SHAFT IN m
+r=40000// DENSITY OF SHAFT MATERIAL IN Kg/m^3
+W=10// WEIGHT ACTING AT CENTRE IN N
+//===========================================================================================
+I=PI*D^4/64// MOMENT OF INERTIA OF SHAFT IN m^4
+m=PI*D^2/4*r// MASS PER UNIT LENGTH IN Kg/m
+w=m*g
+DELTA=W*L^3/(48*E*I)// STATIC DEFLECTION DUE TO W
+DELTA1=5*w*L^4/(384*E*I)// STATIC DEFLECTION DUE TO WEIGHT OF SHAFT
+Fn=.4985/(DELTA+DELTA1/1.27)^.5
+//==========================================================================================
+printf('FREQUENCY OF TRANSVERSE VIBRATION = %.3f Hz',Fn)
+
+