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diff --git a/3864/CH6/EX6.12/Ex6_12.sce b/3864/CH6/EX6.12/Ex6_12.sce
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+clear
+//
+//
+
+//Initilization of Variables
+d=100 //mm //Diameter of solid shaft
+d1=100 //mm //Outer Diameter of hollow shaft
+d2=50  //mm //Inner Diameter of hollow shaft
+
+//Calculations
+
+//Torsional moment of solid shaft
+//T_s=J*q_s*(d*2**-1)**-1 
+//After substituting values in above equation and further simplifying we get
+//T_s=%pi*16*d**3*q_s ...............(1)
+
+//torsional moment for hollow shaft is
+//T_h=J*q_s*(d1**4-d2**4)**-1*(d1*2**-1)
+//After substituting values in above equation and further simplifying we get
+//T_h=%pi*32**-1*2*d1**-1*(d1**4-d2**4)*q_s  ...........(2)
+
+//Dividing Equation 2 by 1 we get
+//Let the ratio of T_h*T_s**-1 Be X
+X=1-0.5**4
+
+//Loss in strength 
+//Let s be the loss in strength
+//s=T_s*T_h*100*T_s**-1
+//After substituting values in above equation and further simplifying we get
+s=(1-0.9375)*100
+
+//Weight Ratio 
+//Let w be the Weight ratio
+//w=W_h*W_s**-1
+
+A_h=%pi*32**-1*(d1**2-d2**2) //mm**2 //Area of Hollow shaft
+A_s=%pi*32**-1*d**2 //mm**2 //Area of solid shaft
+
+w=A_h*A_s**-1 
+
+//Result
+printf("\n Loss in strength is %0.2f  ",s)
+printf("\n Weight ratio is %0.2f  ",w)