The mechanical response of multi-jointed roof beams is investigated numerically with the aid of a two dimensional distinct element computer code. Beams of various spans to thickness ratio, that comprise a wide range of practical concern, are simulated numerically and the effect of joint frequency and compliance on their structural behaviour is determined. Numerical results are presented in graphs and useful conclusions for the critical beam parameters are derived. Comparisons of numerical results with analytical solutions define the ranges, where these solutions may be used and the cases where divergence is observed. Finally the graphs presented here may be used for preliminary practical design of pertinent multi-jointed beams.