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+// Problem 8.12,Page no.214
+
+clc;clear;
+close;
+
+L=1.3 //m //Length of carriage spring
+b=10 //cm //width of spring
+t=12 //mm //thickness of spring
+sigma=150 //MPa //Bending stresses
+E=200 //GPa //Modulus of Elasticity
+U=120 //N*m //Strain Energy
+
+//Calculation
+
+//V=n*b*t*L //Volume of carriage spring
+//U=sigma**2*(6*E)**-1*V
+//After substituting values in above equation and further simplifying we get
+n=120*6*200*10**9*2*((150*10**6)**2*10*10**-2*12*10**-3*1.3)**-1
+
+sigma_1=(120*6*200*10**9*2*(9*0.1*0.012*1.3)**-1)**0.5*10**-6 //MPa //Actual Bending stress
+
+R=E*t*(2*sigma_1)**-1 //m 
+
+//Result
+printf("The number of plates is %d",ceil(n))
+printf("\n Radius of curvature is %.3f m",R)