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equilibrium 10 class

equilibrium 10 class - Topic s Equilibrium Eqs in 3-D and...

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Topic s Equilibrium Eqs in 3-D and 2-D Reaction Forces Free Body Diagrams Book Sections 3/1-3/4
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Equilibrium A system of forces and couples acting on a body is said to be in equilibrium if the resultant of the force system is zero. For a general system of forces and couples equilibrium implies which is equivalent to six scalar equations where x y z e x e y e z
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2-D Equilibrium For 2-D force-couple systems the only non-zero equilibrium equations are the three scalar equations x y Note that the point we take moments about for either 2-D or 3-D systems is arbitrary. If we satisfy equilibrium where moments are taken about a point P, then it is easy to show that equilibrium is satisfied for moments taken about any other point Q:
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Equilibrium Equations In applying these equations we must include all forces and couples acting on a body. These are usually of two types: (1) applied forces or couples , some or all of which may be known (2) reaction forces or couples which arise from the body interacting with other bodies. These are generally unknown.
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