Find: $a.$ Size category $($Dimension lumber, B&S$,$ or P&T$)$

b$.$ Reference design values: $F_b,F_v,$ and $E$

c$.$ Adjusted ASD values: $F_b^{\text{'}},F_v^{\text{'}},$ and $E^{\text{'}}$

d$.$ Actual stresses $($ASD$)$ and deflection: $f_b,f_v,$ and $$

e$.$ Compare the actual stresses and adjusted design values, and determine if the memb

f$.$ Nominal LRFD values: $F_{bn},F_{vn},$ and $E$

g$.$ Adjusted LRFD values: $F_{bn}^{\text{'}},F_{vn}^{\text{'}},$ and $E^{\text{'}}$

h$.$ Adjusted LRFD moment and shear resistances: $M_n$ and $V_n^{\text{'}}$

i$.$ Factored moment and shear $($LRFD$),$ and actual deflection: $M_u{V}_u,$ and $$

j$.$ Determine if the member is adequate $($LRFD$).$

$6\mathrm{.}10$ Given: The roof beam in Figure $6.$B with the following information:

Load:

$w_D=200l\frac{b}{f}t$

$w_{L_r}=250l\frac{b}{f}t$

Load combination:

$D+L_r(ASD)$

Span:

$1\mathrm{.}2D+1\mathrm{.}6L_r(LRFD)$

$L=10ft$

Member size:

$410$

Stress grade and species:

Sel. Str$.$ Hem$-$Fir

Unbraced length:

$l_u=0$

Moisture content:

Deflection limit:

$MC19$ percent

Allow. ${}_{Lr}\frac{L}{360}$

Allow. ${}_{(D+Lr)}\frac{L}{240}$