A simply supported beam has a uniformly distributed load applied. The length of the

beam, $L=4\mathrm{.}00m,$ the cross$-$section of the beam is semi$-$circular and the radius of the

cross$-$section, $r=275\mathrm{.}0mm$ and the intensity of the load $w=10\mathrm{.}5k\frac{N}{m}.$

Determine the absolute maximum compressive stress in the beam.

Enter your answer as a positive value using the units of MPa $,$ to a precision of two

decimal places.