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Curved Reinforced Concrete Wall Design

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Is it a retaining wall? Provide a cross section showing grade level on both sides. If there are to be control joints spaced at close centers, ignore the curvature and design it like any cantilevered retaining wall.
 
I'm with BA on this. At those radii, just design the wall cantilevered on a per unit width basis as though it were straight. The curvature will help some but the hassle of trying to accrue that benefit is surely not worthwhile.
 
Oengineer:
I agree with BA and Koot, design it as a straight canti. retaining wall. But a caution, at what appears to be a spillway, you may want to take a quick look at gravity dam design in a Civil text or handbook, and define a less wide weir length which would handle most seasonal flows. And, armor the toe of the spillway to prevent any erosion of the toe of the wall footing. Maybe lower the footing elevation a bit over this wall length, and provide a conc. apron slab and some energy dissipating boulders atop the apron. Furthermore, pay attention to saturated soils and/or wall drainage behind the wall.
 
I am wondering if the principles of curved beams applies to this situation. See images below.

Screenshot_2023-04-13_141205_t3goey.png


Screenshot_2023-04-13_141917_zv8r9r.png
 
I did several like this recently (only longer: 450 ft.) retaining 10 ft. of fill. I agree with others, just design it as if were straight and ignore passive pressure on the toe to resist sliding ( if you are in a freeze/thaw zone). I placed construction joints at the 1/3 pts and control joints at 25 ' o/c.
 
The beams in your snapshots are not continuously supported by the earth...
 
Unless this wall is being intermittently supported on piles...

Then I agree you might have a point, depending on pile spacing.
 
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