Problem $5\mathrm{.}2\mathrm{.}10$

A $log$ post supports a floor load $P.$ Assuming that the post has a diameter $D_1=12in.(0\mathrm{.}305m),($a$)$determine the allowable load $P$ if the compression stress in the post is limited to $F_{\text{a}\text{l}\text{l}\text{o}\text{w}}=800t{b}^{in}{?}^2,(5\mathrm{.}52$MPa$).$ Once $P$ has been determined, $($b$)$ find the deformation $($shortening$)$ that results. Also, $($c$)$ determine the size $D_2$ of the circular footing necessary if the allowable soil pressure is: $q=6,000$ psf $(287$kPa$).$

$E_{\text{t}\text{i}\text{m}\text{b}\text{e}\text{r}}=1\mathrm{.}5{10}^3$ksi$(10\mathrm{.}34$MPa$)$;

${}_{\text{c}\text{o}\text{n}\text{c}\text{r}\text{e}\text{t}}=150i\frac{b}{n^3}*(23\mathrm{.}6k\frac{y}{m^3})$

$**$ Use $SI(metric)$ Units

Use SI $($metric$)$ Units

Additional Problem $5\mathrm{.}2\mathrm{.}10($addendum$)$:

$\mathrm{.}1$

Change $E$ from $10\mathrm{.}34$MPa to $10\mathrm{.}34$GPa