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The beam $\backslash ($ A B $\backslash )$ supports a uniformly distributed load of $\backslash (480\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$ft$\}\backslash )$ and two concentrated loads $\backslash (\backslash$mathbf$\{$P$\}\backslash )$ and $\backslash (\backslash$mathbf$\{$Q$\}\backslash ).$ The normal stress due to bending on the bottom edge of the lower flange is $+14\mathrm{.}87$ ksi at $\backslash ($ D $\backslash )$ and $+10\mathrm{.}65$ ksi at $\backslash ($ E $\backslash ).($For W$8\backslash (\backslash$times $31,$ S$=27\mathrm{.}5\backslash$mathrm$\{$in$\}^\{3\}\backslash ).)$

Draw the shear and bending$-$moment diagrams for the beam. Hint: What is the relation between load shear and bending moment mathematically? Hint: What is the equation for normal stress in terms of bending moment and section modulus? $($Please upload your response$/$solution using the controls below. You must provide an answer before moving to the next part.$)$