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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+// Problem no 15.4,Page no.352
+
+clc;clear;
+close;
+
+L=0.9 //m //Length of cyclindrical shell
+D=0.2 //m //Internal Diameter
+t=0.008 //m //thickness of metal
+dV=20*10**-6 //m**3 //Additional volume
+E=200*10**9 //Pa
+m=1*0.3**-1 //Poissoin's ratio
+
+//Calculations
+
+V=%pi*4**-1*D**2*L //Volume of cyclinder
+
+//Let X=2*e_1+e_2
+X=dV*V**-1 //Volumetric strain (Equation 1)
+
+//e_1=p*D*(2*E*t)**-1*(1-1*(2*m)**-1) //Circumferential strain
+//e_2=p*D*(2*E*t)**-1*(1*2**-1-1*(2*m)**-1) //Circumferential strain
+
+//substituting above values in equation 1 we get
+p=X*E*t*(D*((1-1*(2*m)**-1)+(1*4**-1-1*(2*m)**-1)))**-1*10**-3 //KN/m**2 //Pressure exerted by fluid
+sigma_t=p*D*(2*t)**-1 //KN/m**2 //hoop stress
+
+//Result
+printf("Pressure Exerted by Fluid on the cyclinder is %.2f",p);printf(" KN/m**2")
+printf("\n Hoop stress is %.2f",sigma_t);printf(" KN/m**2")