To illustrate a vector construction with 3 vectors (3 forces).presentation of both 2D and 3D support conventions and their reactions. The area of Mechanics that studies solids at rest is called Statics.Ĭlick and drag the points A and B to modify the position of the dynamometers. Before the equilibrium of rigid bodies can be investigated, the supports that. This corresponds to Newton’s Law of Inertia: “All bodies will maintain their state of rest or of uniform motion in a straight line that they are already in, unless acted upon by a force that would cause them to change their state of motion.” This state of equilibrium continues as long as the sum of the forces applied to the body remains zero. P is the point of intersection and the vector sum of the forces is zero at all times. In the animation, the forces are contained in the plane Pxy. The plane made by those three points is not necessarily the, x y,, y z, or x z plane. An actual support may be a close approximation of a model. Think of it this way three points determine a plane, and in this case, the three points are: the origin, the tip of the vector, and a point on an axis. Supports that are commonly found in statics can be represented by stylized models called support conventions. The vector sum of these forces is equal to the zero vector. Before the equilibrium of rigid bodies can be investigated, the supports that hold them in place, or hold them to other objects, must be first analyzed.During an equilibrium process variables can be. The lines of action are convergent (they cross at the same point) The equilibrium can either be static or quasistatic depending on the equilibrium variables considered. One of the fundamental procedures in traditional (2D) Graphic Statics is to establish global equilibrium for given boundary conditions, and to use this.However, three-dimensional forces will likely need to be broken into components using Section 2.5. The lines of action are coplanar (in the same plane) To break two-dimensional forces into components, you likely used right-triangle trigonometry, sine and cosine.A solid body submitted to three forces whose lines of action are not parallel is in equilibrium if the three following conditions apply :

Statics equilibrium 3d