T04.1 Equilibrium

T04.1 Equilibrium - Equilibrium T04.1 Equivalent Force...

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Equilibrium T04.1
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Equivalent Force System P P P 1 F 2 F M Note: a particle with a concurrent force system is a special case of a body with a non-current force system. 1 F 2 F M 2 r 1 r 1 1 1 M r F  12 FF 2 2 2 M r F 1 1 2 2 M r F r F     Recall from T03.1… O
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Equilibrium P 12 FF 1 1 2 2 PP M r F r F Q 1 1 2 2 QQ M r F r F O
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Equilibrium Equations 2D 3D Equilibrium equations can ONLY be applied to bodies floating free in space O O x y 0 x F 0 y F 0 z M 0 z F 0 x M 0 y M 0 x F 0 y F 0 z M x y z
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Cutting a Stressed Body (2D) P 1 F 2 F x y x y x’ y’ q 3 F O xx xy xy yy      '' xx xy xy yy
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Cutting a Stressed Body (2D) O P 2 F 3 F P 2 F 3 F P 2 F 3 F
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Cutting a Stressed Body (3D) x z y F F x F z F y M z M x M y M
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Internal Resultant & Stress Pairings P V T M normal stress [F/L 2 ] shear stress [F/L 2 ] Force [F] Moment [F-L] 1 normal component 2 tangential
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T04.1 Equilibrium - Equilibrium T04.1 Equivalent Force...

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