$(9$ points$)$ Difficulty $(3/5)$

A steel pipe with an outside diameter of $3\mathrm{.}9$ in and in inside diameter of $2\mathrm{.}95$ in is simply supported at its ends and carries two concentrated loads $F_1=890Ib$ and $F_2=2000Ib$ as shown. If $a=2\mathrm{.}5ft,b=15$

ft and $c=2\mathrm{.}1ft,$ determine:

$($a$)$ The flexural stress at point A on section A$-$A through the beam if it is $5\mathrm{.}7$ ft from the right support.

$($b$)$ The flexural stress at point $B$ on section $A-$A through the beam if it is $5\mathrm{.}7$ ft from the right support.

$($c$)$ The maximum flexural stress anywhere in the beam.

Denote a tensile stress as a positive value and a compressive stress as a negative value.

$($a$){}_A=$

psi

$($b$){}_B=$

psi

$($c$){}_{\text{m}\text{a}\text{x}}=$

psi