EXAMPLE $3$

A W$350134$ sectibn is simply supported on a span of $12$ m $.$ The beam is laterally supported at

its ends and subjected to a uniform service dead load of $6\mathrm{.}3k\frac{N}{m}($including the weight of the

beam$).$ If $Fy=345$MPa, determine the maximum uniform service live load that the beam can

support.

Properties of W$350134$ :

$d=356mm,bf=368mm,tf=18mm$

$tw=11\mathrm{.}2mm,Zx=2573{10}^{3}m{m}^{3}J={169010}^{3}m{m}^4$

$h_0=338$mmIx$=415\mathrm{.}8{10}^{6}m{m}^4$

$Iy=150\mathrm{.}7{10}^{6}m{m}^4$

$Sx=2343{10}^{3}m{m}^3$

$Sy=818{10}^{3}m{m}^3$

$C_w=4297{10}^{9}m{m}^6$

$rts=104mm$