[ANSWERED] A piston ring (with a split as shown in Figure P5–64) is to be expanded by a tool to facilitate its.

A piston ring (with a split as shown in Figure P5–64) is to
be expanded by a tool to facilitate its installation. The ring is sufficiently
thin (0.2 in. depth) to justify using conventional straight-beam bending
formulas. The ring requires a displacement of 0.1 in. at its separation for
installation. Determine the force required to produce this separation. In
addition, determine the largest stress in the ring. Let E = 18
10
6
psi, G = 7
106 psi, cross-sectional area A =
0:06 in.
2
, and principal moment of inertia I = 4:5
10
-4
in.
4
. The inner radius is 1.85 in., and the outer radius is 2.15 in.
Use models with 4, 6, 8, 10, and 20 elements in a symmetric model until
convergence to the same results occurs. Plot the displacement versus the number
of elements for a constant force F predicted by the conventional beam theory
equation of Reference [8].