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The mode shapes of cantilever I-beam under axial for a prismatic (α = 1) and b tapered (α = 0.5) beams
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In this paper, the flexural–torsional stability analysis of taperedS thin-walled nanobeams with doubly symmetric I-section subjected to transverse loading and axial force is studied through a finite element approach. At first, the non-local equilibrium governing equations are derived on the basis of Vlasov's thin-walled beam theory and the principl...
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The study aims to further standardize the construction process, improve the construction quality, and ensure the stability of infrastructure construction. The continuous rigid-frame bridge is taken as the research object, the finite element model of the bridge body is established by using the beam element, and the overall stability of the rigid-fra...
Citations
... Additionally, the maximum second buckling moment is obtained for =-0.5. These outcomes concord with the previous results presented for homogenous beams with an I-shaped cross-section [68]. ...
The current investigation aims to peruse the discrepancies between the endurable transverse buckling load of multi-layer fibrous composite and fiber-metal laminate (FML) I-section beams. Using the energy method, the governing differential equations are extracted in accordance with the classical laminated plate theory and Vlasov’s model for non-uniform torsion. Then, the equilibrium equations system is numerically solved via the differential quadrature method as a powerful and accurate technique, and finally, the lateral buckling load is calculated. Numerical results are presented for a simply supported I-beam under gradient moment. The accuracy of the proposed method is examined by comparing the results with those obtained by ANSYS finite element software. By considering the best conventional stacking sequences, the lateral stability strength of FML and laminated composite beams with I-shaped cross-sections are compared to each other for different fiber composite materials, end moment ratios, mode numbers, and metal volume fractions of the web and both flanges. The results show that the transverse buckling load of the selected I-beam is significantly affected by the mentioned parameters. In addition, the numerical outcomes indicate that the lateral buckling capacity of CARALL is more than GLARE for all analyzed cases.
This paper intends to predict the best lamination stacking sequences for the web and both flanges of cantilever double-tapered beam exposed to an externally uniformly distributed force to achieve the maximum lateral buckling capacity with optimized mass and material cost. Vlasov’s model along with the classical laminated plate theory is utilized for extracting the variational formulation in terms of lateral displacement and angle of rotation due to torsion. Considering a specific member, the Ritz method is employed to derive an analytical expression for the transverse buckling load as an explicit function of stiffness components. Through the technique of genetic algorithm, the optimum design of a lightweight multi-layer fibrous composite I-shaped beam with varying cross-sections that can sustain the maximum lateral buckling load is finally attained. The numerical results reveal that the endurable lateral buckling load of …
