Part A

Determine the minimum dimension $a$ to the nearest mm of the beam's cross section to safely$-$support the load. The wood has an allowable normal stress of ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=10\mathrm{.}8$MPa and an allowable shear stress of ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=1$MPa.

$($Figure $1)$

Express your answer as an integer and include the appropriate units.

$a=$

$$

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