Before revision:  For the case of three or more masses, we obtain conjectures for the globally optimal load that are strongly supported by extensive computational results .
After revision:  For the case of two masses, arguing that the optimal parameter configuration approaches the flutter and divergence boundaries of the stability region simultaneously. Furthermore, we conjecture that this property holds for any number of masses, which in turn suggests a simple formula for the maximal load interval for n masses. This conjecture is strongly supported by extensive computational results .