Figure $1-$ Tortoise distribution

Figure $3-$ Beam loading

Figure $3-$ Beam loading

Figure $4-$ Beam cross$-$section

QUESTION $1($Group work$)$:

A tree felled by beavers spans a small creek. Upon discovering the advantageous

sunning position, several tortoises have decided to sit on the log and perform their

daily tortoise activities $($Figure $1).$ These activities create the loading and support

reactions shown in the free$-$body diagram in Figure $2,$ where the applied moment

$M$ acts at point $C.$

The applied moment $M$ has a magnitude of $3kNm,$ the distributed load $w_1$ has a

magnitude of $4\mathrm{.}5k\frac{N}{m},$ and the distributed load $w_2$ has a magnitude of $6k\frac{N}{m}.$

The vertical reaction at A has a value of $9\mathrm{.}53kN,$ the horizontal reaction at A has a

magnitude of $0kN,$ and the vertical reaction at $E$ has a magnitude of $12\mathrm{.}22kN.$

Assume clockwise moments are positive.

a$)$ Draw the shear force diagram that results from the loading depicted in Figure $2.$

b$)$ Draw the corresponding bending moment diagram. Label all sections with order

greater than $1($quadratic$,$ cubic, etc.$).$

QUESTION $2($Individual$)$:

A simply supported beam is subjected to a single point load at midspan, as shown in

Figure $3.$ The cross$-$section of the beam is rectangular, and is depicted in Figure $4.$

If $P$ has a magnitude of $18kN,L$ has a magnitude of $3\mathrm{.}00m,b$ has a magnitude of

$0\mathrm{.}5m,$ and $h$ has a magnitude of $0\mathrm{.}5m,$ draw the shear force and bending moment

diagrams $($and upload them to onQ$)$ to calculate the maximum stress in the bottom

face of the beam in MPa $($and enter it below$).$ Use a sign convention of tension as

positive and compression as negative.