The pipe assembly of the figure is supported by a fixed support at point A. A couple-moment and a force are applied at points B and C, respectively. In Cartesian coordinates, the applied couple-moment is MR = -150 k N-m, and the applied force is Fc = + 200ĵ`Newtons. You may neglect the weight of the pipe assembly. 1. Draw a FBD which is suitable for solution of this problem, when seeking the unknown force and moment reactions at the fixed support, Point A. You may use the existing drawing given below. Your FBD must clearly/correctly show the force and moment reaction vectors. Use double arrowheads to distinguish moment vectors from force vectors. 2. Calculate F°MA, which is the moment generated at A due to the force applied at Point C. 3. Write the equations of equilibrium and solve to find the reactions at Point A. Specifically, find the force-reaction vector, A and the moment-reaction vector, *MA.
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
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