Abstract
In this paper, we proposed a concise but complete statics in screw form for engineering structures and mechanisms, especially for the structure under the action of a sophisticated spatial force system, which might be difficult to solve by the traditional ways. We established the balance equations of the screw statics in one coordinate frame. Compared with the traditional methods, the screw equation is straightforward in manipulation and convenient to obtain the wrench matrix for each force or torque. Six unknown variables can be solved by associating a set of screws on one rigid body. We can also select more isolated rigid bodies to establish the necessary equations when there are more unknowns. Furthermore, the new methodology of statics in this paper can form a more complete and more reasonable theoretical base for analyzing the complex truss structures and spatial mechanisms.
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