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diff --git a/3864/CH8/EX8.12/Ex8_12.sce b/3864/CH8/EX8.12/Ex8_12.sce
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+clear
+//
+//
+
+//Initilization of Variables
+
+d_o=300 //mm //Outside diameter 
+d2=200 //mm //Internal Diameter
+p=12 //N/mm**2 //internal Fluid pressure
+F_max=16 //N/mm**2 //Tensile stress
+r_o=150 //mm //Outside Diameter
+r2=100 //mm //Internal Diameter
+
+//Calculations
+
+//Let p_o be the External Pressure applied.
+//From LLame's theorem
+//p_x=b*(x**2)**-1-a   ..............(1)
+//F_x=b*(x**2)**-1+a   ...........................(2)
+
+//Now At
+x=100 //mm
+p_x=12 //N/mm**2
+//sub in equation 1 we get
+//12=b*(100**2)**-1-a    . ..................(3)
+
+//The Max Hoop stress occurs at least value of x where
+//16=b*(100**2)**-1+a      .......................(4)
+
+//From Equations 1 and 2 we get
+//28=b*(100**2)**-1+b*(100**2)**-1
+//After furhter Simplifying we get
+b=28*100**2*2**-1
+
+//sub in equation 1 we get
+a=-(12-(b*(100**2)**-1))
+
+//Thus At
+x2=150 //mm
+p_o=b*(x2**2)**-1-a
+
+//Result
+printf("\n Minimum External applied is %0.2f  N/mm**2",p_o)