Situation $8$: Based on moments and flexural strength only, determine the maximum service uniformly distributed live load $(k\frac{N}{m})$ that a $W53082(W2155)$ beam of A$992345$MPa $)$ steel can carry on a simple span of $10\mathrm{.}9728m$ based on the given conditions. Use LRFD$.$

Properties of W$530$X$82$:

$A_g=10500m{m}^2,d=528mm,b_f=209mm$

$t_f=13\mathrm{.}3mm,t_w=9\mathrm{.}53mm,k_{\text{d}\text{e}\text{s}}=25\mathrm{.}9mm$

$I_x=475{10}^{6}m{m}^4,I_y=20\mathrm{.}1{10}^{6}m{m}^4$

$Z_x=2060{10}^{3}m{m}^3,Z_y=302{10}^{3}m{m}^3$

$S_x=1800{10}^{3}m{m}^3,S_y=193{10}^{3}m{m}^3$

$J=516{10}^{3}m{m}^4,C_w=1340{10}^{9}m{m}^6$

The compression flange is braced at $1\mathrm{.}8288m$ intervals. Choose the nearest to your answer.

a$.25$

c$.27$

b$.26$

d$.28$

The compression flange is braced at $3\mathrm{.}6576m$ intervals.

a$.22\mathrm{.}8$

c$.20\mathrm{.}8$

b$.23\mathrm{.}8$

d$.21\mathrm{.}8$

The compression flange is braced at $5\mathrm{.}4864m$ intervals.

a$.15\mathrm{.}6$

c$.14\mathrm{.}9$

b$.16\mathrm{.}5$

d$.19\mathrm{.}3$