This paper presents an approach for structural optimization design by
means of displaying the reliability constraints. To begin with, a vari
ety of non-normal random loads to which the structure is subjected are
transformed into normal types of loads by means of normal tail transf
ormation. Then the reliability constraints, namely displacement and st
ress, are transformed into constraints of conventional forms according
to the characteristics of invariance in a linear elastic structures t
o the normal loads. At the end, the problem of reliabliltiy optimizati
on is solved by the mixed method and satisfactory results have been ob
tained.