Polyglutamine (polyQ) beta-stranded aggregates constitute the hallmark of Huntington disease. The disease is fully penetrant when Q residues are more than 36-40 ("disease threshold"). Here, based on a molecular dynamics study on polyQ helical structures of different shapes and oligomeric states, we suggest that the stability of the aggregates increases with the number of monomers, while it is rather insensitive to the number of Qs in each monomer. However, the stability of the single monomer does depend on the number of side-chain intramolecular H-bonds, and therefore oil the number of Qs. If such number is lower than that of the disease threshold, the beta-stranded monomers are unstable and hence may aggregate with lower probability, consistently with experimental findings. Our results provide a possible interpretation of the apparent polyQ length dependent-toxicity, and they do not support the so-called "structural threshold hypothesis", which supposes a transition from random coil to a beta-sheet structure only above the disease threshold.