A $350134$ section is simply supported on a span of $15m.$ The beam is laterally supported at its ends and subjected to a uniform ser vice dead load of $5\mathrm{.}2k\frac{N}{m}($including the weight

of the beam$).$ If fy $=345$Mpa. Consider the following properties:

Properties of W$350$ X $134$

$d=356mm$

$b_f=368mm$

$t_f=18mm$

$t_w=11\mathrm{.}2mm$

$Z_x=2573{10}^{3}m{m}^3$

$J=1690{10}^{3}m{m}^4$

$h_o=338mm$

$I_x=415\mathrm{.}8{10}^{6}m{m}^4$

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

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

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

$r_y=94mm$

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

$r_{ts}=104mm$

Determine the nominal strength for compression flange local buckling.

a$)446\mathrm{.}8kN-m$

b$.466\mathrm{.}8kN-m$

c$.,648\mathrm{.}4kN-m$

d$.864\mathrm{.}6kN-m$

Determine the nominal strength for lateral $-$ torsional buckling.

a$.330kN-m$

b$.530kN-m$

c$.535kN-m$

d$.553kN-m$

Determine the maximum uniform service live load that the beam can support using

the LRFD$.$

a$.6\mathrm{.}2k\frac{N}{m}$

b$.6\mathrm{.}4k\frac{N}{m}$

c$.6\mathrm{.}6k\frac{N}{m}$

d$\mathrm{.}6\mathrm{.}8k\frac{N}{m}$

Determine the maximum uniform service live load that the beam can support using

the ASD.

a$\mathrm{.}6\mathrm{.}2k\frac{N}{m}$

b$.6\mathrm{.}4k\frac{N}{m}$

c$.6\mathrm{.}6k\frac{N}{m}$

d$.,6\mathrm{.}8k\frac{N}{m}$