$1)$ Figure $1$ shows two different solutions for supporting a cabin roof of $950.$

The dead load of the roof is$1\mathrm{.}0$ kN$/$m$2($in the roof plane$).$

Both solutions have rafters$/$beams with a center distance of $600$ mm$.$

a$)$ Calculate snow load on roof $($NS$-$EN $1991-1-3,$ load case without snow blower$)$ as well as dimensioning line load infailure limitstate for the most heavily loaded rafters.

b$)$ Show static systems, make the necessary calculations and draw M$-,$ V$-$ and N$-$diagrams for the rafters in thetwo different solutions. $($NB: due to symmetry, it is sufficient to consider only half the roof$)$

c$)$ Choose wooden beams in quality C$18$ with dimension $98$x$198$ and calculate the two options in Tekla Tedds$("2$D analysis"$).$ Compare with the results from b$)$ and comment on any discrepancies. Also calculatedeflection at the service limit state.