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clear all; clc;
disp("Scilab Code Ex 9.9 : ")
//Given:
sigma_x = -12; //MPa
sigma_y = 0;
tou_xy = -6; //MPa
//Construction of the circle:
sigma_avg = (sigma_x+sigma_y)/2;
R = sqrt((-sigma_x+sigma_avg)^2 + (tou_xy)^2);
//Principal Stresses:
sigma2 = -R+sigma_avg;//From the Mohr's circle
sigma1 = R+sigma_avg;
theta_p2 = atan((-tou_xy)/(-sigma_x+sigma_avg));
theta_p2 = theta_p2/2*(180/%pi);
//Display:
printf('\n\nThe first principal stress is = %1.2f MPa',sigma1);
printf('\nThe second principal stress is = %1.1f MPa',sigma2);
printf('\nThe direction of the principal plane is = %1.1f degrees',theta_p2);
//----------------------------------------------------------------------END--------------------------------------------------------------------------------
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