On a variational analysis of finite deformations of prismatical beams and on the effect of warping stiffness on buckling loads (Q759517)

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scientific article; zbMATH DE number 3881958
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On a variational analysis of finite deformations of prismatical beams and on the effect of warping stiffness on buckling loads
scientific article; zbMATH DE number 3881958

    Statements

    On a variational analysis of finite deformations of prismatical beams and on the effect of warping stiffness on buckling loads (English)
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    1984
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    In this paper the author continues his investigation of lateral buckling of doubly symmetric cantilever beams [see ibid. 34, 642-648 (1983); ibid. 34, 649-667 (1983) and with \textit{J. E. Reissner}, ibid. 34, 450-457 (1983; Zbl 0518.73035)]. From the nonlinear theory developed here, the classical Timoshenko result is a special case. Two specific problems are treated: buckling due to the end moment and axial force and buckling due to a transverse end force.
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    system of approximate nonlinear relations
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    warping stiffness
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    lateral buckling
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    doubly symmetric cantilever beams
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    end moment
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    axial force
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    transverse end force
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