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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+clc
+// initialization of variables
+clear
+epsillon_A= 1000*10^-6
+epsillon_B= 720*10^-6
+epsillon_C= 600*10^-6
+th_B=120 // degrees
+th_C=240 // degrees
+//calculations
+th_B=th_B*%pi/180
+th_C=th_C*%pi/180
+// we need to solve for epsillon_y and gamma_xy
+// Ax=B
+ep_x=epsillon_A
+A=[sin(th_B)^2 sin(th_B)*cos(th_B)
+ sin(th_C)^2 sin(th_C)*cos(th_C)]
+C=[epsillon_B-ep_x*cos(th_B)^2; epsillon_C-ep_x*cos(th_C)^2]
+x=inv(A)*C
+ep_y=x(1,1)
+gam_xy=x(2,1)
+epsillon_x=ep_x
+epsillon_y=ep_y
+gamma_xy=gam_xy
+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)
+// Results
+printf('The principal strains are %.3e, %.3e',epsillon_1,epsillon_2)