About frameworks restorable by one stress

Hinged constructions with pinned joints admitting integral stresses in $\mathbb R^d$ are studied. A conjecture about the existence of restoring stress for a framework in $\mathbb R^1$ restorable by its internal stress space is proved. A sufficient condition for the existence of a restoring stress in the case of arbitrary dimension is given. Properties of the set of frameworks restorable by an internal stress are established. New problems are formulated.