I made this animation to discover how altering the rise of a masonry arch impacts the geometry of a course-based stone format (typically referred to as stepped-extrados.)
To make the comparability clearer, the stone rely stays mounted whereas the rise adjustments.
The primary half reveals a 3 m (9’10”) span with the peak various from 0.2 m to 1.5 m (8” to 4’11”), whereas maintaining the stone rely mounted at 19. Every case is proven first as a one-centred arch after which as a three-centred arch.
The second half does the identical for a smaller span of 1.3 m (4’3”), with heights various from 0.2 m to 0.55 m (8” to 1’10”), utilizing 9 stones, once more evaluating one-centred and three-centred outlines.
What me right here is that altering the rise impacts not solely the define of the arch, but in addition the place, proportions, and form of the voussoirs in a course-based development.
The animation was generated with a Swift program (that I’m making an attempt to show into an app for working with arches.) For every body, the primary inputs are the span, rise, and stone rely, along with a number of development settings resembling course peak and joint thickness.
Extra typically, plainly with sufficient geometric and development data (which isn’t lots), an arch could be described exactly sufficient to reconstruct the person stones that make it up.
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