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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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initial commit / add all books
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+clc
+// initialization of variables
+clear
+epsillon_A= 700*10^-6
+epsillon_B= 300*10^-6
+epsillon_C= 300*10^-6
+theta=45 // degrees
+theta=theta*%pi/180 // radians
+// calculations
+epsillon_x=epsillon_A
+epsillon_y=epsillon_C
+gamma_xy=(epsillon_B-(epsillon_x*cos(theta)^2+epsillon_y*sin(theta)^2))/(sin(theta)*cos(theta))
+epsillon_1=1/2*(epsillon_x+epsillon_y)+(1/2)*sqrt((epsillon_x-epsillon_y)^2+gamma_xy^2)
+epsillon_2=1/2*(epsillon_x+epsillon_y)-(1/2)*sqrt((epsillon_x-epsillon_y)^2+gamma_xy^2)
+phi=0.5*atan(gamma_xy/(epsillon_x-epsillon_y))
+phi=phi*180/%pi
+//results
+printf('The principal strains are %.3e, %.3e',epsillon_1,epsillon_2)
+printf('\n phi = %.2f degrees',phi)