Load:

Load combination:

$P_D=400lb$

$P_L=1600lb$

$D+L(ASD)$

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

Span:

Member size:

Stress grade and species:

Unbraced length:

$L_1=8ft$

$L_2=4ft$

$412$

Moisture content:

Live load deflection limit:

Sel. Str$.$ SP

$l_u=0$

$MC19$ percent

Allow. ${}_{\text{f}\text{r}\text{e}\text{e}\text{e}\text{n}\text{d}}\frac{L_2}{180}$

Allow. ${}_{\text{h}\text{a}\text{t}\text{a}\text{.}\text{.}\text{.}\text{a}\text{n}\text{n}.....m.n.to}\frac{L_1}{360}$

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 member is adequate $($ASD$).$

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

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

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