Volume‐filling flocculated dispersions respond elastically to small deformations. We have modelled such systems as disordered elastic networks with statistically homogeneous structures. The disorder of the actual network is represented by a partially filled f.c.c. lattice and the elastic moduli calculated through an effective medium approximation. In this paper we present results for triangular networks in two dimensions with arbitrary combinations of central and bond bending forces for bond as well as site percolation. The moduli increase from zero above an apparent threshold value dependent on the type of percolation and the force law. However, these results are bounded by the isotropic and central force cases, both of which are known for three dimensions. Hence qualitative results for three‐dimensional networks can be obtained without further computations. The theory explains experimental results qualitatively but further refinement is needed to predict the moduli as well as the conductivity of the dispersions accurately.