I am helping define real world use cases for pipe modeling software (mostly to be used for commercial DWV detailing), and I need to know if there is any reference material available on how back-to-back 45 deg. elbow (1/8 bend) joints can actually be used, specifically to connect double offset (or rolling offset) piping conditions. If this method is still used and hasn't generally fallen out of favor (like using a 60 deg. elbow (1/6 bend) into a wye rolled 45 degrees, has) I'd like to know what angle ranges can be solved, and if out of the infinite possible angle combinations, are there any known/commonly encountered angle conditions it solves? E.g. whenever you have a 45 horizontal and 60 vertical drop-in, two 45 elbows at x & y degrees will connect that condition.
Also, I know that pipe deflection at joints allows room for play/fudging it - I believe 6 degrees of deflection for glued joints like PVC & ABS, and 13 degrees for hub & spigot and no-hub. Because I am looking to solve this programmatically and computing can work out exact numbers, I don't believe deflection is material to this discussion. I.e. if computing couldn't resolve exact numbers, then deflection could make up for the difference. If you believe I am wrong, that deflection still matters for whatever reason, please counter.
The simplest 45/45 connection is a straight 180 (zero angle deflection) which yields an S-turn to offset a pipe run continuing in the same direction. What do all the rest solve, if this method is even used? Below are several I created in the software to give a visual idea of what I mean.
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