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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+// Problem 8.10,Page no.213
+
+clc;clear;
+close;
+
+L=75 //cm //Legth of Leaf spring
+P=8 //KN //Load
+y_c=20 //mm //Deflection
+sigma=200 //MPa //Bending stress
+E=200 //GPa //modulus of Elasticity
+//b=12*t
+
+//Calculation
+
+//y_c=sigma*L**2*(4*E*t)**-1
+//After substituting values and further simplifying we get
+t=200*10**6*(75*10**-2)**2*(4*200*10**9*0.02)**-1*10**2 //Thickness of plate
+
+b=12*t //width of plate
+
+//Now using relation we get
+//sigma=3*P*L*(2*n*b*t**2)**-1
+//After substituting values and further simplifying we get
+n=3*8*10**3*0.75*(2*200*10**6*0.084*0.007**2)**-1
+
+//Y_c=L**2*(8*R)**-1
+R=(L*10**-2)**2*(8*y_c*10**-3)**-1 //m //Radius of spring
+
+//Result
+printf("The thickness of plate is %.2f",t);printf(" cm")
+printf("\n The width of plate is %.2f",b);printf(" cm")
+printf("\n The number of plate is %d",ceil(n))
+printf("\n The Radius of plate is %.2f m",R)