$!$

Required information

The truss shown has a socket support at point $\backslash ($ L $\backslash ),$ a roller at point $\backslash ($ K $\backslash ),$ and a cylindrical roller at point $\backslash ($ A $\backslash )$ that prevents motion in the $\backslash ($ x $\backslash )$ and $\backslash ($ z $\backslash )$ directions.

Use the method of joints to determine the force supported by member $\backslash ($ D G $\backslash )$ if $\backslash ($ P$=38\backslash$mathrm$\{$kN$\}\backslash )$ and $\backslash ($ Q$=0\backslash$mathrm$\{$kN$\}\backslash ).$

The force supported by member DG is $-$

kN $.$