The latter calculation method based on the second assumption does not apply to shafting in addition to double bearing support, because the catenary curve of every double bearing supported rotor is calculated firstly and each bearing elevation is adjusted to make each coupling fulfill the zero to zero condition.
Since shafting catenary curve is smooth when the machine is running, total deflection angles at the left and right sides of every bearing are equal:
Figure 10 shows the catenary curve calculation result of single bearing support shafting.
Figure 15 shows the catenary curve calculation result of shafting with 3S clutch.
The catenary curve
is viscerally satisfying and metaphorically rich, triggering thoughts of trajectories, lifelines, and the immutable laws of material existence.
MoMA's series is based on a composition that utilizes the catenary curve
, juxtaposed with other visual elements, some autobiographical-images of a flag, a galaxy, a family photograph, tiny stick figures, and patterns referring to a traditional Harlequin costume and to a Halloween costume worn by Johns as a child.
For those explicitly seeking math education, electronic screens scattered around the museum's two floors offer "More Math" lessons explaining underlying concepts such as why square-wheeled trikes require a track with bumps shaped like upside-down catenary curves