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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)
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