  We analyze the conditions to have no-scale supersymmetry breaking solutions
of type IIA and IIB supergravity compactified on manifolds of SU(3)-structure.
The supersymmetry is spontaneously broken by the intrinsic torsion of the
internal space. For type IIB orientifolds with O9 and O5-planes the mass of the
gravitino is governed by the torsion class W_1, and the breaking is mediated
through F-terms associated to descendants of the original N=2 hypermultiplets.
For type IIA orientifolds with O6-planes we find two families of solutions,
depending on whether the breaking is mediated exclusively by hypermultiplets or
by a mixture of hypermultiplets and vector multiplets, the latter case
corresponding to a class of Scherk-Schwarz compactifications not dual to any
geometric IIB setup. We compute the geometrically induced mu-terms for D5, D6
and D9-branes on twisted tori, and discuss the patterns of soft-terms which
arise for pure moduli mediation in each type of breaking. As for D3 and
D7-branes in presence of 3-form fluxes, the effective scalar potential turns
out to possess interesting phenomenological properties.
