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# Engmech 05 (equilibrium_of_concurrent_force_system)

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### Engmech 05 (equilibrium_of_concurrent_force_system)

1. 1. EQUILIBRIUM Equilibrium is the state of a particle or a body in which the body (particle) remains at rest. It can be saidthat to be in static equilibrium also. A system in static equilibrium or at rest should not have any kind of motion or movement. i.e. resultantforce as well as resulting moment of the system must be zero. Hence analytical or mathematical conditions ofequilibrium for general force system can be given as: ∑ Fx = 0 ∑ Fy = 0 ∑ Mo = 0Principle of Equilibrium Two forces principle can stated as ‘if a body acted upon by only two forces, these forces must be equal inmagnitude, opposite direction and collinear.
2. 2. Principle of Three Forces It can be stated as ‘if a body in equilibrium is subjected to only three force, one of them must be equal butopposite to the resultant of other two forces and the three forces acting must be concurrent.’ Note that if three forces acting on the body is not concurrent, always couple/moment is generatedresulting from the forces. Hence the forces must be concurrent as a primary or fundamental requirement ofequilibrium and further, each one of the three forces must be ‘equilibrant’ of other two forces for equilibrium.Types of Loads Though we use the term ‘load’ for structures, it should be understood and remembered as ‘force.’ Hence,even ‘couple’ is a load member or body. (1) Concentrated load