ABSTRACT

In this chapter we shall consider one-, two- and three-dimensional solids, with properties of geometrical, constraint and static symmetry. These are structures which present axes or centres of symmetry about which the distribution of matter, the constraints and the loads applied are symmetrical quantities. As we shall be able to investigate more fully in the sequel, the most notable consequence deriving from the properties of symmetry of a statically indeterminate structure is the reduction of its effective degree of indeterminacy. The increase in regularity with respect to structures devoid of symmetry is in general the cause of a decrease in static indeterminacy.