Question $1$:

An Uniform Distributed Load $($w$)$ acts at the midspan of a W$250167$ beam. The bending normal stress $(f_b)$ cannot exceed $+-140$MPa. The bending shear stress $(f_v)$ cannot exceed $56\mathrm{.}0$ MPa.

Calculate the maximum allowable value of $(w)$ before failure of the beam occurs.

Hint: $,$ Use both the bending normal stress and the bending shear stress limiting conditions. Use the General Shear Formula.