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Lecture-rigid_Equili_2

# Lecture-rigid_Equili_2 - EQUATIONS OF EQUILIBRIUM(Section...

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Statics:The Next Generation (2nd Ed.) Mehta, Danielson & Berg Lecture Notes for Sections 4.1-4.4 1 EQUATIONS OF EQUILIBRIUM (Section 5.3) A body is subjected to a system of forces that lie in the x-y plane. When in equilibrium, the net force and net moment acting on the body are zero (as discussed earlier in Section 5.1). This 2-D condition can be represented by the three scalar equations: F x = 0 F y = 0 M O = 0 Where point O is any arbitrary point. Please note that these equations are the ones most commonly used for solving 2-D equilibrium problems. There are two other sets of equilibrium equations that are rarely used. For your reference, they are described in the textbook. x y F 1 F 2 F 3 F 4 O As a general rule, if a support prevents translation of a body in a given direction, then a force is developed on the body in the opposite direction. Similarly, if rotation is prevented, a couple moment is exerted on the body.

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