strip load surcharge on sheet pile wall with sloped backfill

huangyhg

strip load surcharge on sheet pile wall with sloped backfill
i am doing analysis on a sheet pile headwall for a cmp culvert under a railroad. i have been looking but have been able to figure out how to determine the lateral pressure from a strip load surcharge when the backfill has a 1:2 slope. i orginally just used the bousinesq formula, but because of the slope and distance from the centerline of track, it seems that this may be much too conservative.
i was looking at this thread
the bousinesq formula should work.  because of superposition, it shouldn't matter if the backfill is flat or sloped.  i would use the bousinesq formula.  what is your condition that you think it is being too conservative?  i recently verified some program outputs for this and thought that the lateral pressures were remarkably small.
the wall is about 23 feet from the centerline of the track, and by following the very last post in the before mentioned thread (
that response was provided by forum   
i do, but i'm not sure where i would draw the line.  i don't think it is necessarily outside the rankine zone.  if you draw it out, it can be outside the rankine zone at grade, but be in the rankine zone at locations below grade.  i would account for it to be safe.  based on your dimensions it should have little impact.
poisson's ratio is more of a player than the actual surcharge magnitude itself.
1:2 slope is damn steep and probably unstable, maybe you mean 2:1?  (horizontal distance: vertical distance)
yes, you are correct, it should be 2:1, thanks for pointing that out. although i do not understand why slopes are referred to in that way, its seems that intuitively it would be rise:run, but the standard practice is run:rise?
lunera:
v:h & h:v both in use. there is no problem to distinguish the correct from sketch (unless you left out the symbol and numerical values for slope), when writing, try 2h:1v, or 1v:2h for clarity. make sense?
lunera
sorry, i don't have the name of the publication.  i xeroxed these sheets 25 years ago from a book i couldn't purchase.  the book was brought here (us) from poland by an engineer that i worked with.  didn't occur to me to write down the name of the book (duh). i've never seen solutions like these anywhere else.  for more discussion, and the derivation to the formulas posted in the other thread, see
oops, got a call in the middle of the last post and forgot to attach the pdf.  here it is.