A shaft sealing assembly for static and dynamic sealing includes a stator member attached to a housing and a rotor member attached to a shaft rotatable about an axis. The rotor member includes first and second pocket sections extending from upper and lower radial flanges extending in a cantilevered fashion from a tubular member. At least one static sealing member is attached to and encapsulates each pocket section. Each static sealing member presents a core portion and a pair of radial lips extending from the core portion. The stator member presents an annular wall extending to inner walls inclined conically to a central radial rim or flange separating two pocket portions and the static sealing members presenting a contact and frictionally engaging with the central radial rim as the rotor member is at a stand-still or static position.