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+// exa 4.7 Pg 110
+clc;clear;close;
+
+// Given Data
+Sut=600;//MPa
+Syt=380;//MPa
+q=0.9;// sensitivity factor
+R=90/100;// reliability
+n=2;// factor of safety
+Pmin=-100;// N
+Pmax=200;// N
+l=150;// mm
+
+Se_dash = 0.5*Sut;// MPa
+// for cold drawn steel
+ka=0.76;// surface finish factor
+kb=0.85;// size factor (assuming t<50 mm)
+kc=0.897;// reliability factor
+kd=1;// temperature factor
+ke=1;// load factor
+
+Kt=1.4;// under bending
+
+Kf=1+q*(Kt-1);// fatigue strength factor
+kf=1/Kf ;// fatigue strength reduction factor
+Se=ka*kb*kc*kd*ke*kf*Se_dash;// MPa( Endurance limit)
+Mmax=Pmax*l;// N.mm
+Mmin=Pmin*l;// N.mm
+Mm=(Mmax+Mmin)/2;// N.mm
+Ma=(Mmax-Mmin)/2;// N.mm
+theta=atand(Ma/Mm);// degree
+
+//equation of Goodman - sigma_m/Sut+sigma_a/Se=1
+//here sigma_a/sigma_m=3
+sigma_m=1/(1/Sut+3/Se);//MPa
+sigma_a=3*sigma_m;// MPa
+
+sigma_da=sigma_a/n;// MPa
+//sigma_da=32*Ma/%pi/d**3
+d=(32*Ma/%pi/sigma_da)**(1/3);// mm
+printf('\n diameter d at fillet cross section = %.f mm',d)