a$)$ the design LRFD$-$based moment, $M_u,$ neglecting self$-$weight $($Ans$.$: $M_u=2064ft-k)$

b$)$ using $C_b=1\mathrm{.}67$ and $L_b=18\mathrm{.}0$ feet, find the design flexural resistance, $M_n($Ans$.$:

$($:$M_n=2,243ft-k\}$

c$)$ the shear resistance, $V_n($Ans$.$: $V_n=650$ kips$)$

d$)$ the total deflection under maximum service loading $($Ans$.$: ${}_{\text{m}\text{a}\text{x}}=0\mathrm{.}450$ inches$)$

e$)$ if total service deflection is to be limited to $\frac{L}{600},$ is the beam satisfactory?

$($Ans$.$: L $\frac{?}{600}=0\mathrm{.}600$ inches, OK$)$

The ${30}^{\text{'}}-0^{\text{'}\text{'}}$ long beam is loaded in strong axis $(x-$axis$)$ bending. The left end is fixed. The right end is a roller. The A$992$ W$40149$ beam is braced at the ends and at the load point only. Neglect beam self$-$weight. The section is compact and should always be verified in practice. $L_r=23\mathrm{.}6ft.$

$P_D=125$ kips

$P_L=155$ kips

${18}^{\text{'}}-0^{\text{'}\text{'}}$