Q$1)$ Design the Timber floor joist for a Domestic dwelling using Timber

strength C$22,$ with the following data.

Design the timber floor joist for a domestic dwelling using timber of strength class C$18$ given that:

a$)$ the joists are spaced at $400mm$ centres;

b$)$ the floor has an effective span of $3\mathrm{.}8m$;

c$)$ the flooring is tongue and groove boarding with a self$-$weight of $0\mathrm{.}1k\frac{N}{m^2}$;

d$)$ the ceiling is of plasterboard with a self weight of $0\mathrm{.}2k\frac{N}{m^2}.$

Q$2)$ Design a timber column of effective length $2\mathrm{.}8m,$ capable of resisting

the following loading:

$($i$)$ medium term axial load of $37\mathrm{.}5kN$

$($ii$)$ long term axial load of $30kN$ and a bending moment of $300kNmm.$