A movable
machining element, for example a wall saw, can have one or more characteristics including a reversible driving head, a driving head removable from a
carriage and having a quick release or quick lock mechanism, a driving head that is removable from a
carriage without the use of threaded fasteners or having to unthread a holding element for removing the driving head from the
carriage, a driving head with parallel, concentric or coaxial travel elements and tool driving elements, a tool driving
assembly including a travel gear accessible from more than one direction, a component in the
machining element having an oriented
fiber or other composite incorporated in or as part of the component, an eccentric lateral adjustment
assembly, or a
drive shaft having a non-circular driving surface, for example a hexagonal
drive shaft. In a wall saw, a blade and blade
flange assembly are easily assembled on the saw or removed from the saw.