Problem $5\mathrm{.}23$

Consider the beam shown in $($Figure $1).$ The roller at $\backslash ($ A $\backslash )$ and the pin at $\backslash ($ B $\backslash )$ can support a load up to $3\mathrm{.}7$ kN and $8\mathrm{.}5$ kN $,$ respectively.

Figure

Part A

Determine the maximum intensity of the distributed load $\backslash ($ w $\backslash ),$ measured in $\backslash (\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ),$ so that failure of the supports does not occur.

Express your answer in kilonewtons per meter to three significant figures.

$\backslash ($ w$=\backslash )$

$\backslash [$

$\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}$

$\backslash ]$

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