Assignment $9$

Find the following section properties for this cross$-$section on the right

$-$ Area

$-$ Centroid

$-$ Second moment of area

$-$ Section modulus

The cross$-$section is made of wood $($with an elastic modulus of $\backslash ($ E$=1000\backslash$mathrm$\{$ksi$\}\backslash ))$ and is used for a beam with the support conditions, load type, and magnitude shown on the right. Calculate:

$-$ Maximum deflection $($using the formula in this lecture$)$

Draw the corresponding:

$-$ Shear diagram

$-$ Moment diagram

$-$ Maximum average shear stress

$-$ Maximum bending stress

NOTE: Make sure the units match! E$.$g$.$ all forces in either kips or $\backslash$#$,$ all lengths in either ft or in $($I recommend converting to kips and inches$)$