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+//Example 2.1

+//State of Stress in two dimensions

+//Page No. 25

+clc;clear;close;

+

+sigma_x=25;           //no unit

+sigma_y=5;             //no unit

+theta=45;               //in degrees

+sigma_x_=50;            //in Mpa

+T_x_y_=5;              //in Mpa

+A=[(sigma_x+sigma_y)/2+(sigma_x-sigma_y)/2*cosd(2*theta),sind(2*theta);(sigma_y-sigma_x)/2*sind(2*theta),cosd(2*theta)];

+B=[sigma_x_;T_x_y_];

+X=inv(A)*B;

+p=X(1);

+T_xy=X(2);

+sigma_x1=sigma_x*p;

+sigma_y1=sigma_y*p;

+sigma_y_=sigma_x1+sigma_y1-sigma_x_;

+printf('\nsigma_x= %g MPa\nsigma_y= %g MPa\nT_xy= %g MPa\nsigma_y`= %g MPa',sigma_x1,sigma_y1,T_xy,sigma_y_);