initial commit / add all books

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+// exa 8.4 Pg 230
+clc;clear;close;
+
+// Given Data
+Fmin=500;// N
+Fmax=1200;// N
+C=6;// spring index
+n=1.5;// factor of safety
+Sys=760;// MPa
+Ses_dash=350;// MPa
+del=25;// mm
+G=82;// kN/mm.sq.
+
+Kw=(4*C-1)/(4*C-4)+0.615/C;// Wahl's correction factor
+Ks=1+0.5/C;// Shear stress factor
+Fm=(Fmax+Fmin)/2;// N
+Fa=(Fmax-Fmin)/2;// N
+tau_m_into_d_sq=Ks*(8*Fm*C)/(%pi);// where tau_m_into_d_sq = tau_m*d**2
+tau_a_into_d_sq=Kw*(8*Fa*C)/(%pi);// where tau_a_into_d_sq = tau_a*d**2
+
+//(tau_m-tau_a)/Sys+2*tua_a/Ses_dash=1/n
+d=sqrt(n)*sqrt((tau_m_into_d_sq-tau_a_into_d_sq)/Sys+2*tau_a_into_d_sq/Ses_dash);// mm
+printf('\n diameter of spring wire = %.2f mm or %.f mm',d, ceil(d))
+d=ceil(d);// mm
+Dm=C*d;// mm
+printf('\n Mean coil diameter = %.f mm', Dm)
+//del=8*Fmax*Ci**3/(G*d)
+i=(del/(8*Fmax*C**3/(G*10**3*d)));// no. of active coils
+i=ceil(i);// no. of active coils
+printf('\n no. of active coils = %.f',i)
+nt=i+2;// no. of active coils (for square & ground ends)
+lf=nt*d+1.15*del;// mm
+printf('\n free length of spring = %.2f mm',lf)