  Given the spin state by Magnusson (1990), the shape model by Ostro et al.
(2000), and the mass by Descamps et al. (2011), this paper evaluates a
dynamically and structurally stable size of Asteroid (216) Kleopatra. In
particular, we investigate two different failure modes: material shedding from
the surface and structural failure of the internal body. We construct
zero-velocity curves in the vicinity of this asteroid to determine surface
shedding, while we utilize a limit analysis to calculate the lower and upper
bounds of structural failure under the zero-cohesion assumption. Surface
shedding does not occur at the current spin period (5.385 hr) and cannot
directly initiate the formation of the satellites. On the other hand, this body
may be close to structural failure; in particular, the neck may be situated
near a plastic state. In addition, the neck's sensitivity to structural failure
changes as the body size varies. We conclude that plastic deformation has
probably occurred around the neck part in the past. If the true size of this
body is established through additional measurements, this method will provide
strong constraints on the current friction angle for the body.
