I have been looking further the complexity of thrusts in high rise bridges. If the thrust runs out of the arch in such a direction that it gets to be a modest distance above the segment concerned, and if that segment receives a large proportion of horizontal soil pressure, there will be problems with the thrust.
Clic on the images to magnify.
If this arch is given backing to the level where the vertical through the springing cuts the extrados, the thrust looks much more normal.
Here there is a very slight down-turn instead of a severe upturn.
this is all part of the issue of the thrust making no sense once it is outside the domain of the forces concerned. The forces are actually all associated with the arch segment and not with the soil segment (the arch feels soil pressure but does not know where it comes from). Once the thrust escapes the arch, we are dealing with a large block of material in which the divisins have a large effect on the flow of force. It only makles sense to look at the forces as a whole. Indeed, the interesting question is where does the force leave the arch/fill block. That raises questions of what is force and what is reaction. Where there is backing, as above, we can legitimately remove the horizontal soil pressure from the arch and instead apply it to the backing. We should then treat the whole mass from the point where the thrust leaves the arch as an single entity and work out whether the resultant force is guided into the abutment.
There must be more to come from this.
Bill
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