Problem 1: A circular ring of square cross section is subjected to a pair of forces F = 10,000 N, as shown n the figure. Use a finite element analysis program to determine the compression of the ring, i.e., relative displacements of the points where forces are applied. Assume E = 70 GPa. Determine the maximum values of the axial force P. bending moment M and shear force Vr, and their respective locations. Hints. Divide the ring into 40 elements. Use x = R cosa andy-R sinto determine the coordinates. Fix all DOFs at the bottom most point to constrain rigid body translation and rotation. Otherwise, the global stiffness matrix will be singular. R 100 mm 3 10 mm Problem 1: A circular ring of square cross section is subjected to a pair of forces F = 10,000 N, as shown n the figure. Use a finite element analysis program to determine the compression of the ring, i.e., relative displacements of the points where forces are applied. Assume E = 70 GPa. Determine the maximum values of the axial force P. bending moment M and shear force Vr, and their respective locations. Hints. Divide the ring into 40 elements. Use x = R cosa andy-R sinto determine the coordinates. Fix all DOFs at the bottom most point to constrain rigid body translation and rotation. Otherwise, the global stiffness matrix will be singular. R 100 mm 3 10 mm