Piers
A pier is a segment of a special type. There 2 possibilities to define a pier:
(A) Pier dependent on a main girder
The pier is not related to an axis, but to a segment point of an other segment. Hence, it is as a segment dependent on an other segment.
The geometrical position of the pier is defined by a connection point. This position refers to the cross section before or after at the segment point of the reference segment.
A pier has not a real axis, but an imaginary one in vertical direction. The co- ordinate system is given by the coordinate system of the connected main girder, if it has been stand up. Analogously to the main girders, the cross sections of the pier is considered against the "axis direction" defining them, i.e. against the height. The horizontal axis of the cross section is the cross axis of the main girder and the vertical axis of the cross section points against the axis direction of the main girder.
(B) Free pier dependent on a 3D-point
The geometrical position will be defined by a 3D-point and is independent of a connection to any main girder, possibly specified afterward.
A pier does not have any real axis, but a virtual one in vertical direction. The system of coordinates is defined by rotating the global system 90 Degrees about the global Y-axis ( = global Z-axis RM ). Analogously to the main girders, the cross sections has to be considered against the "axis direction", hence against the elevation or height direction. The horizontal axis of the cross section is the global transverse axis and the vertical axis of the cross section points against the global X-axis.