Determine the maximum uniform distributed load $w$ that can be applied to the $W1214$ beam shown below if the maximum allowable bending stress is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=30$ ksi and the maximum allowable shear is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=8\mathrm{.}9$ ksi.

The distance between the supports is $28$ ft $.$

$($Figure $3)$

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

Express your answer to three significant figures.

View Available Hint$($s$)$

$w=$

$l\frac{b}{f}t$