Part C $-$ Maximum Distributed Load

Determine the maximum uniform distributed load w that can be applied to the W$12\backslash$times $14$ beam shown below if the maximum

allowable bending stress is $\backslash$sigma $\_($allow $)=20$ksi and the maximum allowable shear is $\backslash$tau $\_($allow $)=7\mathrm{.}0$ksi. The distance between the

supports is $28$ ft $.$

$($Eigure $3)$

The geometric properties of the beam are listed in the table below.

Express your answer to three significant figures.