Test II

CE $332$ Structural Analysis

$1-$ For the beam shown in Figure P$-1/3,$ calculate reactions and draw shear and moment diagrams. What is the maximum shear and moment? $A$ is a pin, $B$ & D are rollers, and $C$ is a hinge.

$2-$ For the frame shown in Figure P$-2,$ find reactions and draw shear and moment diagrams in each member. $A$ is a pin, $D$ is a roller. $B$ and $C$ are rigid joints.

$3-$ For the beam of problem $1($Figure P$-1/3),$ draw influence line for reaction at B$.$ Also, what is the maximum positive and negative moments at the center of span $AB$ if subjected to a uniformly distributed deal load of $1\mathrm{.}5$kip$\frac{s}{f}t$ and a uniformly distributed moving $($live$)$ load of $3\mathrm{.}0$kip$\frac{s}{f}t?$ Show sketches of the loading.

$4-$For the frame of Figure P$-4,$ use the approximate Cantilever Method to find reactions and draw shear and moment diagrams for DEF. All columns have the same cross$-$sectional areas and fixed at the base.

$5-$ For the beam in Figure P$-5/6$: determine slope at B and displacement of point $C$ using the double integration method. A is fixed. Note I for the left half of the span is twice as large as the right half I. Assume $P=30$kips, and $L=60-$ft$.$ Use variable $x_1$ a

$6-$ For the beam in Figure P$-5/6$: determine slope at $B$ and displacement of point $C$ using the moment area method. Note I for the left half of span is twice as large as the right half I. A is fixed. P $=30$ kips, and $L=60-ft.$

Do only number $6$