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+//CHAPTER 11 ILLUSRTATION 3 PAGE NO 291
+//TITLE:VIBRATIONS
+//FIGURE 11.11
+clc
+clear
+//===========================================================================================
+//INPUT DATA
+PI=3.147
+g=9.81// ACCELERATION DUE TO GRAVITY IN N /m^2
+D=.050// DIAMETER OF SHAFT IN m
+m=450// WEIGHT OF FLY WHEEL IN IN Kg
+K=.5// RADIUS OF GYRATION IN m
+L2=.6// FROM FIGURE IN m
+L1=.9// FROM FIGURE IN m
+L=L1+L2
+E=200*10^9// YOUNGS MODUKUS OF SHAFT MATERIAL IN Pascals
+C=84*10^9// MODUKUS OF RIDITY OF SHAFT MATERIAL IN Pascals
+//=========================================================================================
+A=PI*D^2/4// AREA OF SHAFT IN mm^2
+I=PI*D^4/64//
+m1=m*L2/(L1+L2)// MASS OF THE FLYWHEEL CARRIED BY THE LENGTH L1 IN Kg
+DELTA=m1*g*L1/(A*E)// EXTENSION OF LENGTH L1 IN m
+Fn=0.4985/(DELTA)^.5// FREQUENCY OF LONGITUDINAL VIBRATION IN Hz
+DELTA1=(m*g*L1^3*L2^3)/(3*E*I*L^3)// STATIC DEFLECTION IN TRANSVERSE VIBRATION IN m
+Fn1=0.4985/(DELTA1)^.5// FREQUENCY OF TRANSVERSE VIBRATION IN Hz
+J=PI*D^4/32// POLAR MOMENT OF INERTIA IN m^4
+Q1=C*J/L1// TORSIONAL STIFFNESS OF SHAFT DUE TO L1 IN N-m
+Q2=C*J/L2// TORSIONAL STIFFNESS OF SHAFT DUE TO L2 IN N-m
+Q=Q1+Q2// TORSIONAL STIFFNESS OF SHAFT IN Nm
+Fn2=(Q/(m*K^2))^.5/(2*PI)// FREQUENCY OF TORSIONAL VIBRATION IN Hz
+//=======================================================================================
+printf('FREQUENCY OF LONGITUDINAL VIBRATION = %.3f Hz\n FREQUENCY OF TRANSVERSE VIBRATION = %.3f Hz\n FREQUENCY OF TORSIONAL VIBRATION = %.3f Hz',Fn,Fn1,Fn2)
+