A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L1 = 2.1m, width b, and height h = 4b.3.
The dimensions of the balcon floor are L1 x L2, with L2 = 2.5m. The design load is 5.5kPa acting over the entire floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density γ = 5.5kN/m3) The allowable bending stress in the cantilevers is 15Mpa.
Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimensions b and h.

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