Regarding problem 304: solution states Rankines active earth pressure coefficient is .339. Using the equation in VNS Murhty text for rankines active earth pressure I get .311. Same equation is in both braja das fundamentals of geotech 3rd ed. and pricnciples of foundation engineering 5th ed, yielding same result. Additional, Braja das has a table in both of the referenced books that have values of Ka listed for rankine's condition with sloping backfill. Using slope=15 and phi=34, both tables show Ka=.311. I have confirmed it with equations and tables in two books (allthough it appears that the tables are the same) but I am not sure where the .334 comes from. It would be helpful if the solution showed the calculation to obtain Ka, or where it was obtained from rather than just listing it.
"Are you sure, you are not using the version that uses the drawdown values s1 and s2, instead of the water elevation values y1 and y2?"
I was using the equation in the VNS Murthy text which uses the values y1 and y2 which are measured from the aquifer bottom, and the terms are not squared. I went back and solved it with two different equations- one using the drawdown distances with log in the equation, and another with drawdown distances with natural log in the equation. Not in any of the 3 different confined aquifer equations are the distance terms squared regardless of whether you are measuring height or depth of drawdown. Conceptually, it does not make sense as to why this difference would require squaring in one form but not the other. I get a drawdown of 0.83 feet using all 3 methods, and I think you are incorrect in squaring the distance terms for a confined aquifer regardless of whether measuring drawdown depth or height.
You didn't respond to my question about problem 307, which i think also has an error. Shouldn't the solution subtract out the depth of material removed for the mat construction when calculation delta P for settlement equation? I think goes along the lines of a "fully compensated foundation" where lowering the foundation helps reduce the increase in pressure the soil below is seeing.
Thanks again.