TABLE F$-1$ U$.$S$.$ Customary

${?}^{\text{a}\text{A}\text{l}\text{l}\text{o}\text{w}\text{a}\text{b}\text{l}\text{e}\text{s}\text{t}\text{r}\text{e}\text{s}\text{s}\text{e}\text{s}\text{:}}$

$s_c$ : compression parallel to grain

$s_{c_p}$ : compression perpendicular to grain

$s_t$ : tension parallel to grain

$s_b$ : bending

$s_s$ : horizontal shearA$6$a$.$ A simply$-$supported $210$ wood joist $($use actual ${1\mathrm{.}5}^{\text{'}}xx{9\mathrm{.}25}^{\text{'}\text{'}}$ dimensions$)$ is loaded with a $200$ plf line load

and a $600lb$ point load at midspan $($as shown below$).$ The beam is ${10}^{\text{'}}$ long. Determine the maximum shear

$($lbs$)$ and the maximum moment $($ft$-$lbs$)$ on the beam. $(10)$

$($Hint: Use the beam equations from the supplemental tables, and the method of superposition.$)$

$6$b$.$ Determine the maximum bending stress $($psi$),$ and the maximum horizontal shear stress $($psi$),$ on the joist

shown above. $(20)$ simply$-$supported $2$x$10$ wood joist $($use actual $1\mathrm{.}5"$ x $9\mathrm{.}25"$ dimensions$)$ is loaded with a $200$ plf line load and a $600$ lb point load at midspan $($as shown below$).$ The beam is $10\text{'}$ long. Determine the maximum shear $($lbs$)$ and the maximum moment $($ft$-$lbs$)$ on the beam. Assume Hem$-$fir.

Determine the maximum bending stress $($psi$),$ and the maximum horizontal sheer stress $($psi$),$ on the joist shown above.