Question $1(20$ points$)$: Support Reactions and Bending Moments in a Combined Beam$/$Truss Struc$-$

ture.

Consider the combined multi$-$span beam$/$truss structure shown in Figure $1.$

Figure $1.$ Front elevation view of multi$-$span beam structure.

The cantilever is fully$-$fixed to the wall at Point A$.$ Points B$,$ D and E are hinges. Horizontal and vertical

point loads $3P(kN)$ and $P(kN)$ are applied to the truss as shown in Figure $1.$

$[1$a$](2$ pts$).$ Compute the degree of indeterminacy for the articulated beam structure $($A$-$B$-$C$-$D$-$E$-$F$-$G$-$H$).$

$[1$b$](3$ pts$).$ Identify the zero$-$force members in the truss structure. You can simply mark them up on

Figure $1.$

$[1$c$](4$ pts$).$ Compute the distribution of forces throughout the truss structure. Draw a diagram summarizing

your results.

$[1$d$](4$ pts$).$ Compute the vertical reaction forces at nodes F and G$.$

$[1$e$](7$ pts$).$ Draw and label diagrams showing how the bending moment and axial force vary along the

beam, nodes A through H$.$ Clearly indicate on your bending moment diagram, regions that are in

tension$/$compression$.$

Question $1(20$ points$)$: Support Reactions and Bending Moments in a Combined Beam$/$Truss Struc$-$

ture.

Consider the combined multi$-$span beam$/$truss structure shown in Figure $1.$

Figure $1.$ Front elevation view of multi$-$span beam structure.

The cantilever is fully$-$fixed to the wall at Point A$.$ Points B$,$ D and E are hinges. Horizontal and vertical

point loads $3P(kN)$ and $P(kN)$ are applied to the truss as shown in Figure $1.$

$[1$a$](2$ pts$).$ Compute the degree of indeterminacy for the articulated beam structure $($A$-$B$-$C$-$D$-$E$-$F$-$G$-$H$).$

$[1$b$](3$ pts$).$ Identify the zero$-$force members in the truss structure. You can simply mark them up on

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