26. A circular ring of square cross-section is subjected to a pair of forces F = 10,000...

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26. A circular ring of square cross-section is subjected to a pair of forces F = 10,000 N, as show in 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 = 70GPa. Detet mine the maximum values of the axial force P, bending moment M, and shear force Vn an)

their respective locations.

Hints: Divide the ring into 40 elements. Use x = R cos0, and y = R sinfi to determine the coor dinates. Fix all DOFs at the bottom-most point to constrain rigid body translation and rotatioj Otherwise, the global stiffness matrix will be singular.

oo car R = 100 mm 10 mm

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