We will solve two problems. The first is for a rigid pile in sand. Use Brom's method. Since the problem requires solution of a cubic equation for the minimum depth $($Dmin$)$ I recommend a trial and error procedure. Excel can help using either "Goal Seek" or "Solver." The second problem is a solution of the p$-$y curve at depths. To get the constants such a Pu and y$50$ you will need to use the soil strength to look up values to estimate. See the notes for more details.

For a cell phone antenna placed on a single $16$ inch diameter concrete pile. The pile is installed in sand with a friction angle of $31\mathrm{.}5$ degree. The pile has a lateral load of $600lb$ that occurs at an elevation of $23ft$ above the top of the pile. Determine whether the moment exceeds the maximum allowable and the minimum pile depth. Assume the water table can reach the ground surface and the total unit weight of the sand is $120$ pcf$.$ Use.a factor of safety of $3\mathrm{.}5.$

A $14$ inch diameter steel pipe pile is installed in clay with a shear strength of $575$ psf and an effective unit weight of $65$ pcf$.$ Analyze as a long pile, and develop the $p-y$ curve at depths of $5,10,15,$ and $20ft$ using Matlock's curves. To plot, use a spreadsheet.

Hand calculations for question $2$ please, thank you for help