(Solved): The cast iron beam in the figure has an overhang of length \( b=3.0 \mathrm{~m} \) at each end. If ...

The cast iron beam in the figure has an overhang of length \( b=3.0 \mathrm{~m} \) at each end. If the bending working stresses are \( 30 \mathrm{MPa} \) in eension and \( 90 \mathrm{MPa} \) in compression, what is the largest allowable intensity \( w_{0} \) of a distributed load that can be applied to the jeam? Assume that \( w_{0} \) includes the weight of the beam.