Find the minimum required section modulus for wood lagging on a soldier pile wall, then use the wood section properties below to select the appropriate size nominal lumber. The lagging will see a pressure of $425$ psf and the soldier piles arespaced at $4$ feet on center. Assume Fb $=1,800$ psi.NominalSize b x dStandardDressed Size$($S$4$S$)$ b xd inchesX inchesArea of SectionA in$?$x$-$x AXIS $($Strong$)$y$-$y AXIS $($Weak$)$Approximate Weight in Pound per Linear Foot $(1$b$/$ft$)$ of PieceWhen DensityEquals $351$b$/$f$3$SectionModulusSyy in$?$Moment of InertiaI xx intSectionModulus Syy in$?$Moment of InertiaIyy in$*2$x$31-1/2\backslash$times $2-1/23\mathrm{.}7501\mathrm{.}5631\mathrm{.}9530\mathrm{.}9380\mathrm{.}7030\mathrm{.}9112\backslash$times $41-1/2\backslash$times $3-1/25\mathrm{.}2503\mathrm{.}0635\mathrm{.}3591\mathrm{.}3130\mathrm{.}9841\mathrm{.}2762$x$51-1/2\backslash$times $4-1/26\mathrm{.}7505\mathrm{.}06311\mathrm{.}391\mathrm{.}6881\mathrm{.}2661\mathrm{.}6412$x$61-1/2\backslash$times $5-1/28\mathrm{.}2507\mathrm{.}56320\mathrm{.}802\mathrm{.}0631\mathrm{.}5472\mathrm{.}0052\backslash$times $81-1/2\backslash$times $7-1/410\mathrm{.}8813\mathrm{.}1547\mathrm{.}662\mathrm{.}7202\mathrm{.}0402\mathrm{.}6442\backslash$times $101-1/2\backslash$times $9-1/413\mathrm{.}8821\mathrm{.}4098\mathrm{.}973\mathrm{.}4702\mathrm{.}6033\mathrm{.}3742$x$121-1/2\backslash$times $11-1/416\mathrm{.}8831\mathrm{.}65178\mathrm{.}04\mathrm{.}2203\mathrm{.}1654\mathrm{.}1032$ x $141-1/2\backslash$times $13-1/419\mathrm{.}8843\mathrm{.}90290\mathrm{.}84\mathrm{.}9703\mathrm{.}7284\mathrm{.}832$