Three suggestions:
1. The assumed active earth coefficient (K
a = 0.5), means the soil friction angle (φ) = 19.5 degrees.
φ = 19.5 degrees is consistent with backfill being "soft, packed mud". Not what I would expect to use as backfill.
This assumption is likely the primary reason the wall loading seems extremely high and the wall is 5' thick. A value of, say, φ = 34 degrees (making K
a = 0.28) may be a better choice.
2. Cooper loading is uniform distributed load (UDL), as
GeoPaveTraffic first mentioned. The wheel positions shown in the sketch were used by Theodore Cooper, circa 1900, to simulate a UDL. They were never intended to be used as actual point loads for design. On soil, I would use the UDL (Cooper E-80 = 1780 PSF). The UDL loading is applied directly under the footprint of the crossties... assumed to be 9' long.
3. Point loading from actual wheel positions or the "Alternate Cooper E-80 Live Load" is appropriate for the short-span structural steel design crossing the unloader. The "Alternate LL" simulates the the junction of two fully loaded (Cooper E-80 rated) rail cars. This is the concept that
Oldestguy mentioned in his post.
The two-car loading combination is higher than a single large 6-axle locomotive, like the General Electric AC6000CW. CSX uses 4 of these locomotives to haul 80-car unit coal trains to our (electric utility) generating stations.
For multiple locomotives, probably a good ideal to look at the wheel loading on structural steel from the junction of two locomotives. Doubt all 6 axles (3 from each locomotive) would be on a span at the same time.
Because of the critical importance of timely fuel (coal) delivery to operating generating stations, we did our major unloader upgrades (including planning, design, and construction management) 100% in-house. The attached photo shows one of my structural steel replacement/upgrades to make a 1960's unloader capable or carrying 21
th century unit trains:
I assume the unloader being discussed in this thread is a "bottom-dump"... a rotary unloader is a different animal.
![[r2d2] [r2d2] [r2d2]](/data/assets/smilies/r2d2.gif)