I. Beams: II$-$ Frames $($bonus$)$

$5-(2$ points$)$

The Structure shown in $($figure $5$ & $6)$ Determine support reactions, calculate and draw

normal $($axial$),$ shear forces, and bending moment diagrams,

ip

Figure $5$

$6-(2$ points$)$

$1$ kip$/$ft

$C$

D

Figure $6$ III$-$ Analysis of Trusses

The trusses shown below determine the forces in each member and show the

compression and tension in each member, $(+)$ for tension and $(-)$ for compression.

$8-(3$ points$)$

A

Figure $8(2$ points$)+1$ point bonus case $3$

The beam shown in $($figure$-1)$ is stressed in the elastic state.

a$-$ For the cross$-$sections shown below, calculate and draw the maximum elastic shearing and

the maximum bending stresses in the beam.

b$-$ Determine the radius of gyration for each cross$-$section.

Case $1$

Case $2$

Case $3$

The beams in the figures below determine the support reactions and draw shear forces and bending

moment diagrams.

$1-(3$ points$)$

Figure $1$

$2-(3$ points$)$

Figure $2$

$3-(3$ points$)$

Figure $3$