Consider a simply supported floor beam spanning $6\mathrm{.}5m$ with uniformly distributed dead

load of $2\mathrm{.}5k\frac{N}{m}$ and live load of $3\mathrm{.}0k\frac{N}{m},$ supporting floor joist @$500mm.$ Determine the

adequate cross$-$sections of swan timbers $($Machine graded$)$ and check the section for

bending and shear strength.

Given Data:

$\frac{\text{G}\text{i}\text{v}\text{e}\text{n}\text{D}\text{a}\text{t}\text{a}\text{:}}{k_5}=1\mathrm{.}0,k_0=1\mathrm{.}0$

Useful formula:

$\frac{O}{M_n}=\frac{O}{k_1}{k}_1{k}_5{k}_9{f}_0.$

$Z=\frac{b{d}^2}{6}$

$\frac{O}{V_{}}=\frac{O}{k_1}{k}_4{k}_5{f}_5{A}_5$

$A_s=\frac{2bd}{3}$