QUESTION $2$

A cantilevered beam supports both a point load and a moment as shown in Figure

Q$2.$ Assuming that the flexural rigidity for segments $AB$ and $BC$ are $2EI$ and $E1,$

respectively;

$($a$)$ Establish the reactions at A and draw a bending moment diagram.

$(5$ Marks$)$

$($b$)$ Using the moment$-$area method, solve for the displacement at point $B.$

$(10$ Marks$)$

$($c$)$ Using the conjugate$-$beam method, determine the displacement at $C.$

$(10$ Marks$)$

$($Sub$-$total $25$ Marks$)$

Figure Q$2$: Cantilevered beam