Applied Mechanics I $-$ Assignment $\backslash$# $3$

November $29,2024$

Determine the force in each memberpgige the Gqambrel roof truss shown. State whether each member is in tension $\backslash (($T$)\backslash )$ or compression $($C$).(20$ marks$)$

$2-$a$.$ The load $\backslash ($ P$=62\backslash$mathrm$\{$lb$\}\backslash )$ can be moved along the line of action shown and applied at $\backslash ($ A$,$ D $\backslash ),$ or $\backslash ($ E $\backslash ).$ Determine the components of the reactions at $\backslash ($ B $\backslash )$ and $\backslash ($ F $\backslash )$ if the load is applied at $\backslash ($ A $\backslash ).(10$ marks$)$

$2-$b$.$ A $\backslash (306\backslash$mathrm$\{$lb$\}\backslash$cdot $\backslash$mathrm$\{$in$\}\backslash ).$ clockwise couple is applied successively at $\backslash ($ A$,$ D $\backslash ),$ or $\backslash ($ E $\backslash )$ in the figure shown. Determine the components of the reactions at $\backslash ($ B $\backslash )$ and $\backslash ($ F $\backslash )$ if the couple is applied at $\backslash ($ E $\backslash ).\backslash (\backslash$left$(10\backslash$right$.\backslash )$ mark $\backslash (\backslash$left$.^\{\backslash$mathrm$\{$c$\}\}\backslash$right$)\backslash )$

$3.$ In the given figure, the force $\backslash ($ P $\backslash )$ is $140$ N $.$ Determine the value of $\backslash (|$M$|\_\{\backslash$max $\}\backslash )$ for which the maximum absolute value of the bending moment in beam $\backslash ($ A B $\backslash )$ is as small as possible. $(20$ marks$)$