$.$ D$.$ A primary horizontal me mbe rof length $4\mathrm{.}0$ m in a roof truss in Southe $m$ Australia is to che cke dfor combined

actions $($Compressior$-$ Tension and Bending$).$ Afterthe analysis of the structure, the de signeris going to check

the following two cases:

Case $1$: Tension and Bending $($dead load $+$ wind loaduplift$)$

Axial tension force $=10kN$

Down bending moment $($compression at top$)=1\mathrm{.}5kNm$

Case $2$: Compression and Bending$(\text{'}$de adload $+$ live load $(\text{'}5$ brsi$)\text{'}$

Axial compression force $=15kN$

Down be ending moment $($compression at top$)=1\mathrm{.}5kNm$

The de signer has selected the following spe cification for the me mber:

F$17(140\backslash$times $45$mm$)(\text{'}$seasoned$)$

Nail connection forbothends

One restraint is used forthe buckling about minor axis at the midspan of the top of me mber.

The che ckwill include finding the following:

$1-$ Bending capacity of both cases.

$2-$ Tensile capacity of me mberfor case $1.$

$3-$ Compression capacity of case $2.$

$4-$ Combine daction forboth cases.

$$A primary horizontal me mbe rof le ngth

$4$

$.$

$0$

$$m in a roof truss in Southe

m

$$Australia is to che che dfor combined

actions

$($

Compression Tension andBending

$)$

$.$

$$Afterthe analysis of the structure, the designeris going to check

the following two cases:

Case

$1$

: Tension and Be nding

$($

dead load

$+$

$$wind loaduplift

$)$

Axial tension force

$=$

$1$

$0$

k

N

Down bending moment

$($

compression at top

$)$

$=$

$1$

$.$

$5$

k

N

m

Case

$2$

: Compression and Bending ide ad load

$+$

$$live load

$($

$5$

$$hrsi

$)$

Axial compression force

$=$

$1$

$5$

k

N

Down be nding moment

$($

compression at top

$)$

$=$

$1$

$.$

$5$

k

N

m

The de signer has selected the following spe cification for the member

F

$1$

$7$

$($

$1$

$4$

$0$

$\backslash$times

$4$

$5$

m

m

$$seasoned

$)$

Nail connection forbothends

One re straint is used for the buckling about minor axis at the mid span of the top of member.

The che ck will include finding the following:

$1$

$-$

$$Bending capacity of both cases.

$2$

$-$

$$Tensile capacity of memberfor case

$1$

$.$

$3$

$-$

$$Compression capacity of case

$2$

$.$

$4$

$-$

$$Combined action forboth cases.