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Arches. Closed Spandrel Masonry Arches. Sprandrel Retaining Wall. Arch. Traditional Arch Bridge Construction. Spandrel Retaining Walls. Traditional Arch Bridge Construction. Filled with dirt, up to road level. Traditional Arch Bridge Construction. Spandrel Walls. Arch.
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Closed Spandrel Masonry Arches Sprandrel Retaining Wall Arch
Traditional Arch Bridge Construction Spandrel Retaining Walls
Traditional Arch Bridge Construction Filled with dirt, up to road level
Traditional Arch Bridge Construction Spandrel Walls Arch Filled with dirt, up to road level
Traditional Arch Problem • The funicular shape for dead load is a parabola
Traditional Arch Problem • The funicular shape for dead load is a parabola • When a point load is applied (say, a horse), it is no longer funicular. Bending moment is present. Masonry cannot take tension. It might collapse.
Traditional Arch Solution • Use A LOT OF DIRT
Traditional Arch Solution • Use A LOT OF DIRT • Huge dead loads pre-compress the masonry so much that the tension from the bending action of a Horse Load will never overcome the compression
Traditional Arch Solution • Use A LOT OF DIRT • Huge dead loads pre-compress the masonry so much that the tension from the bending action of a Horse Load will never overcome the compression • Irony: more dead load strengthens a traditional masonry arch.
Puzzle • This arch is indeterminate, yet you can solve it. Why?
Puzzle • This arch is indeterminate, yet you can solve it. Why? • It is funicular. M=0, everywhere. So…
Puzzle • This arch is indeterminate, yet you can solve it. Why? • It is funicular. M=0, everywhere. So… You can place pins wherever you want them, to facilitate analysis.
Puzzle • This arch is indeterminate, yet you can solve it. Why? • It is funicular. M=0, everywhere. So… You can place pins wherever you want them, to facilitate analysis.