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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+clear;
+clc;
+r1 = 0.5*9;// inches
+r2 = 0.5*3;// inches
+r3 = 0.5*6;// inches
+del_r3 = 0.5*0.003;// inches
+E = 13000;// tons/in^2
+k1 = r1/r3;
+k2 = r2/r3;
+a1 = (del_r3/r3)*E/((k1^2 +1)- (k2^2 +1)*(k1^2 -1)/(k2^2 -1));
+a = a1*(k1^2 -1)/(k2^2 -1);
+b1 = a1*r1^2;
+b = a*r2^2;
+p_ = (b/r3^2) -a;// tons/in^2
+// for the inner tube
+f_x1 = (b/r2^2) +a;// tons/in^2
+f_x2 = (b/r3^2) +a;// tons/in^2
+// for the outer tube
+f_x3 = (b1/r3^2) +a1;// tons/in^2
+f_x4 = (b1/r1^2) +a1;// tons/in^2
+printf('The hoop stresses are as under:');
+printf('\n For the inner tube, at x = 1/5 inches, f = %.2f tons/in^2., compressive\n at x = 3 inches, f = %.2f tons/in^2.,compressive',-f_x1,-f_x2);
+printf('\n For the outer tube, at x = 3 inches, f = %.2f tons/in^2., tensile\n at x = 4.5 inches, f = %.2f tons/in^2.,tensile',f_x3,f_x4);