This composite beam may be a bit more typical but is harder to analyze because it is not

symmetric $($hence we have to compute in longhand the centroid and I values$).$ We have a plate

of material $1($E$=30,000$ ksi$)$ that is $4$ x $0\mathrm{.}5$ inches bonded to the upper surface of a $4$ x $4$ block of

material $2($E$=10,000$ ksi$).$ The moment is $+80$ kip$-$inches. Find the maximum bending stress in

both materials $($value and sign, note the moment is positive$).$ Answers: centroid is $2\mathrm{.}6136$ inches

up from bottom, I$=43\mathrm{.}55$ in$4$

$,\backslash$sigma $1=10\mathrm{.}4$ ksi $($C$),\backslash$sigma $2=4\mathrm{.}801$ ksi $($T$)$ in $2$