Question

THE FOLLOWING PROBLEMS ARE TO BE SOLVED WITH A COMPUTER. Problem 1 A state of plane stress is defined by the stress components 0, 0, and I associated with the element shown in Figure (a). i. Write a computer program that can be used to calculate the stress components 6, 5, and try" associated with the element after it has rotated through an angle about the z axis as shown in Figure (b). 1 F: Use this program to solve the following questions. For the given state of stress, determine the normal and shearing stresses after the element shown in Figure (c) and (d) has been rotated through (a) 25° clockwise, (b) 10° counterclockwise. 90 MPa SO MPA 30 MPa 60 MP + 50 MP + (c) (d)

Answer 1

Solution:-

%Matlab code:-

%take input values:-

Sx = input('Enter normal stress x')

Sy = input('Enter normal stress y')

Sxy = input('Enter shear stress')

theta =input('enter theta about z')

%calculation code:-

Sxyt = sind(2*theta)*(Sx-Sy)/2 + Sxy*cosd(2*theta);

Sxt = (Sx+Sy)/2 + cosd(2*theta)*(Sx-Sy)/2 - Sxy*sind(2*theta);

Syt = (Sx+Sy)/2 - cosd(2*theta)*(Sx-Sy)/2 + Sxy*sind(2*theta);

%print values

Sxt

Syt

Sxyt

% end of matlab code

2) for figure ( c )

For figure ( d )