A $50-$mm$-$by$-300-$mm scaffold timber plank. placed flat$-$wise, must carry a uniformly$)$ distributed line

load of $1\mathrm{.}50k\frac{N}{m}$ without exceeding an allowable bending stress of J $1\mathrm{.}0$MPa and an allowable shear

stress of $0\mathrm{.}83$MPa. Calculate the maximum allowable simple span length. Use full nominal dimensions and

neglect the weight of the plank.