PROBLEM.

$\backslash ($ A $\backslash )$ wooden beam $\backslash ($ A B C $\backslash )$ with simple supports at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ and an overhang $\backslash ($ B C $\backslash )$ has height, $\backslash ($ h $\backslash )\backslash (=280\backslash$mathrm$\{$~mm$\}\backslash ).$ The length of the overhang is $1\mathrm{.}2$ m and length $\backslash ($ A B $\backslash )$ is $3\mathrm{.}6$ m $.$ The beam supports a concentrated load of $15$ kN at the midpoint of the main span and a concentrated load of $5$ kN at the free end of the overhang.

$1\mathrm{.}1.$ Determine reaction at A $,$ in kN $.($consider $2-$decimal places; no need to write the unit$)*$

$[4(15$ Points$)$

$1\mathrm{.}2.$ Determine reaction at B $,$ in kN $.($consider $2-$decimal places; no need to write the unit$)*$

$1\mathrm{.}3.$ Determine the location of the maximum moment from point $\backslash ($ A $\backslash ),$ in meter.

$1\mathrm{.}4.$ Determine the maximum moment, in kN $-$m$.($consider $2-$decimal places;

$1\mathrm{.}5.$ Determine the required width $"$b$",$ in meter, of the beam based upon the allowable bending stress of $8\mathrm{.}03$ MPa $.($consider $2-$decimal places; no need to write the unit$)*$