Project Scenario: Computations

Model foundation as:

Single Point Load

Cross$-$Section View

This is the equation you must use:

Point Load $($function of Poisson's Ratio$)$:

Q$=10,000$ lb$/$ft$^2$

${}_h^{\text{'}}=\frac{Q}{R^2}\frac{3z{r}^2}{R^3}\frac{R(1-2v)}{R+z}$

$R^2=x^2+y^2+z^2$

$r^2=x^2+y^2$

$x=$ horizontal distance from the wall $y=$ lateral distance $z=$ depth

$v=$ Poisson's Ratio

Compute the increase in horizontal stress at depths of $2,4,6,$ and $8$ feet.

Plan View

The horizontal stresses are to be computed at the point on the wall that is aligned with the centroid of the $6\text{'}6\text{'}$ foundation. $6\text{'}$ x $6\text{'}$ foundation is $5$ feet from edge of unyielding wall.