$10\mathrm{.}91$ A sawn$-$lumber column of $5\mathrm{.}07\mathrm{.}5-$in$.$ cross section has an effective length of $8\mathrm{.}5f.$ The grade of wood used has an adjusted allowable stress for compression parallel to the grain ${}_c=1180$ and an adjusted modulus $E=440{10}^3$ psi. Using the allowable$-$stress method, determine the largest eccentric load $P$ that can be applied when $($a$)e=0\mathrm{.}5in.,($b$)e=1\mathrm{.}0in.$

Fig. P$10\mathrm{.}91$