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AW$53092$ structural steel wide$-$flange shape $E=200$GPa;$I=554{10}^{6}m{m}^4$ is loaded and suppo shown. Determine:

$($a$)$ the force and moment reactions at supports A and $C($positive force is up$,$ positive moment is counterclockwise$).$

$($b$)$ the maximum bending stress ${}_{\text{m}\text{a}\text{x}}$ in the beam.

$($c$)$ the deflection $v_B$ of the beam at $B.$

Assume $L_{AB}=7\mathrm{.}5m,L_{BC}=5\mathrm{.}2m,P=156kN.$

Answers:

$($a$)A=kN,M_A=kN-m,C=$

$$ i $kN,M_C=$ i $$ kN$-$m$.$

$($b$){}_{\text{m}\text{a}\text{x}}=$ MPa.

$($c$)v_B=$ mm $.$