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Beams $\backslash ($ A B$,$ B C $\backslash ),$ and $\backslash ($ C D $\backslash )$ have the cross section shown and are pin$-$connected at $\backslash ($ B $\backslash )$ and $\backslash ($ C $\backslash ).$ The allowable normal stress is $+95$ MPa in tension and $-150$ MPa in compression.

Determine the corresponding maximum distance a for which the cantilever beams $\backslash ($ A B $\backslash )$ and $\backslash ($ C D $\backslash )$ are not overstressed. $($Round the final answer to three decimal places.$)$

The corresponding maximum distance $\backslash ($ a $\backslash )$ is

From the previous problem, the maximum w is $1\mathrm{.}28$ kN$/$m$.$