A pin$-$jointed truss structure is pinned at support A and rests on a roller at support $C$ as

indicated in Figure Q$\mathrm{.}1.$ The truss carries a concentrated characteristic load on its top chord as

shown. Assume all connections are welded and lateral bracing is present at A$,$ B and C$.$

Using the design data given: Gk$=30$ kN and Qk$=250$ kN

$($i$)$ for Equation $6\mathrm{.}10($a$)$ and Equation $6\mathrm{.}10($b$)$ of EN$1990$:$2002,$determine the design load

applied to the top chord and the value of the girder support reactions,

$($ii$)$ check the suitability of the section indicated for the diagonal compression members of

the girder and

$($iii$)$ check the suitability of the section indicated for the top chord of the girder.

Design data:

Diagonal compression members:

Top chord:

Loading:

Characteristic permanent load $(G_k)$

Characteristic variable load $(Q_k)$

Figure Q$.1$

$($iv$)$ Check the suitability of the proposed section for tension members using the design rules given in

Eurocode $3.$

$($v$)$ If the selected cross sections above is not safe then propose a new section and repeat all the calculations

for the new section to show that it is safe.