HW$15$: Problem $3$

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

A steel pipe with an outside diameter of $3\mathrm{.}9$ in and in inside diameter of $3$ in is simply supported at its ends and carries two concentrated loads $F_1=940lb$ and $F_2=2040lb$ as shown. If $a=2\mathrm{.}6ft,b=16\mathrm{.}6ft$ and $c=1\mathrm{.}7ft,$ determine:

$($a$)$ The flexural stress at point $A$ on section A$-$A through the beam if it is $5\mathrm{.}3$ ft from the right support.

$($b$)$ The flexural stress at point B on section A$-$A through the beam if it is $5\mathrm{.}3$ 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