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+// exa 3.13 Pg 74
+
+clc;clear;close;
+
+// Given Data
+P=15;// kW
+n1=200;// rpm
+l=600;// mm
+z2=18;// no. of teeth
+m2=5;// mm
+alfa2=14.5;// degree
+l2=120;// mm
+z1=72;// no. of teeth
+m1=5;// mm
+alfa1=14.5;// degree
+l1=150;// mm
+sigma_d=80;// MPa
+
+d1=m1*z1;// mm
+v1=%pi*d1*n1/(60*10**3);// m/s
+Ft1=10**3*P/v1;// N (outwards)
+Fr1=Ft1*tand(alfa1);// N (Downwards)
+d2=m2*z2;// mm
+v2=%pi*d2*n1/(60*10**3);// m/s
+Ft2=10**3*P/v2;// N (outwards)
+Fr2=Ft2*tand(alfa2);// N (Upwards)
+
+// RAV*600=Fr1*450+Fr2*120 (Taking moments about bearing B)
+RAV=(Fr1*450+Fr2*120)/600;// N (Downwards)
+RBV=(Fr1-Fr2-RAV);// N (upwards)
+MCV=RAV*l1;// N.mm
+MBV=Fr2*l2;// N.mm
+
+// RAH*600=-Ft1*450+Ft2*120 (Taking moments about bearing B)
+RAH=(-Ft1*450+Ft2*120)/600;// N (Outwards)
+RBH=Ft1+Ft2+RAH;// N (inwards)
+MCH=RAH*l1;// N.mm
+MBH=Ft2*l2;// N.mm
+
+// Resultant Bending Moments
+MC=sqrt(MCV**2+MCH**2);// N.mm
+MB=sqrt(MBV**2+MBH**2);// N.mm
+Mmax=max(MC,MB);// N.mm
+T=10**3*P/(2*%pi*n1);// N.m
+Me=(1/2)*(Mmax+sqrt(Mmax**2+T**2));// N.mm
+// Me=(%pi/32)*d**3*sigma_d
+d=(Me/((%pi/32)*sigma_d))**(1/3)
+printf('\n shaft diameter is : %.f mm',d)