33Stability_2 - AAE352 Lecture 29 Structural stability Part...

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AAE 352 1 AAE352 Lecture 29 Structural stability – Part 2 Stability of mechanisms and wings The ability of a flexible system to maintain a definite equilibrium form (or state) under a given loading condition
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AAE 352 2 Column buckling analysis with a side force and a compressive force is different because θ is never zero F k k/PL >1 k/PL <1 θ
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AAE 352 3 Solve for the deflection θ P P θ L F F
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AAE 352 4 Solve for the deflection θ Flexibility depends on the axial force P P θ F ( 29 PL k FL PL k FL k PL FL M k L P FL M pin pin - = - = = - + 2245 - + = = θ θ θ θ θ θ 0 sin 0 PL k 1 ) FL ( - = θ
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AAE 352 5 Flexibility & stiffness definitions The inverse of flexibility is stiffness = flexibility PL k 1 ) FL ( - = θ PL k ) FL ( / 1 - = θ = stiffness
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AAE 352 6 Flexibility and stiffness A rigid structure has zero flexibility – it will not deform A rigid structure has infinite stiffness Zero stiffness means that the structure will not resist an increased external load Infinite flexibility means that a structure cannot resist an increased load PL k 1 ) FL ( - = θ PL k ) FL ( / 1 - = θ
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