The Effects of Shear on the Deflection of Simply Supported Composite Beam                 Loaded Linearly

Esendemir, Ümran; Usal, Mustafa Reşit; Usal, Melek

doi:10.1177/0731684406065133

Cited by 19 publications

(4 citation statements)

References 15 publications

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“…Building upon this approach, exact solutions for laminated beams were developed by Silverman [5], Hasin [6], Gerstner [7], Rao and Ghosh [8] and Cheng et al [9]. Additionally, Esendemir et al [10] developed an analytical solution based on elasticity for bending analysis of beam structures. Analyzing laminated systems within the framework of elasticity poses a significant challenge in developing an analytical solution that accounts for arbitrary boundary conditions due to the complexity of these systems and computational difficulties.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Segmentation Approach to Handle Material and Loading Discontinuities in the Analytical Solutions of Structural Problems

Singh,

Karathanasopoulos

2023

10th ECCOMAS Thematic Conference on Smart Structures and Materials

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A novel segment-based adaptive approach in conjunction with the extended Kantorovich method is proposed to handle material and loading discontinuities efficiently in elasticitybased analytical solutions for classical mechanics problems of beams and plates. This approach enables the consideration of all displacement, in-plane stresses, and transverse stresses as the primary variables and ensures the pointwise/exact satisfaction of interlayer and intersegment continuity conditions along with arbitrary edge boundary conditions. First, the present proposed approach is utilized for an accurate stress analysis of arbitrary-supported composite beams and plates subjected to discontinuously distributed loads in the form of patches. Later this approach can also be utilized for edge-bonded beams of different materials subjected to discontinuous loads. The correctness and efficacy of the present mathematical model are established by comparing the present numerical result with whatever is available in the open literature and with 2D/3D finite elements results of Abaqus for other cases. The study shows that localized distributed load in the form of patches leads to various localized stress concentrations, which could further lead to localized failures like cracks and delamination, consequently needing to be predicted accurately for efficient designs. The present approach has great potential to work as a benchmark tool for such predictions and design analysis. Further, the present analytical results will be beneficial to assess the accuracy and efficacy of different beam theories and the convergence of numerical approaches developing in the future for the analysis of beam and plate structures with loading or material discontinuities.

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Section: Introductionmentioning

confidence: 99%

Adaptive Segmentation Approach to Handle Material and Loading Discontinuities in the Analytical Solutions of Structural Problems

Singh,

Karathanasopoulos

2023

10th ECCOMAS Thematic Conference on Smart Structures and Materials

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“…Also, investigations of the effect of shear on the deflection in simply supported composite beams have been recently carried out. [13][14][15] In a general review of material evaluation bending tests, Mullin and Knoell 16 discussed the theoretical origins of L t ratios (where L is the span length and t is the nominal thickness) and the effects of material variables and specimen defects such as voids. Westwater 17 observed that specimens with small L t ratios often fail by cracks running out to, or past, the support nose and also that the amount of overhang may affect the mode of failure.…”

Section: Introductionmentioning

confidence: 99%

“…Also, investigations of the effect of shear on the deflection in simply supported composite beams have been recently carried out. 13–15…”

Section: Introductionmentioning

confidence: 99%

Study of unidirectional fiber reinforced epoxy composites in short-beam bending test

Theotokoglou

Sideridis

2017

Journal of Reinforced Plastics and Composites

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The present paper deals with the computational study of unidirectional glass fiber reinforced epoxy composites in shortbeam bending test and the comparison of the induced results with experimental and analytical results. The measurement of the interlaminar shear strength of composite beams, an important design variable in many applications, may be performed by short-beam three-point bending test. A two-dimensional finite element analysis is adopted throughout the composite beams in order to, on the one hand, correlate with the experimental results and, on the other hand, to obtain the stress distributions at the supports and at the loading points where usually there is an abrupt variation due to the indentation existing because of the noses. Thus, the linear variation of the normal stress according to bending theory is not valid near the supports and characteristics of curves. Similarly, the shear stress which shows, normally, a parabolic variation becomes a curve with a different shape near the point where the load is applied. The discrepancies among theoretical, experimental and Finite Element Method (FEM) results support the qualitative conclusions of the study concerning the significance of non-isotropy and point effects for the correct interpretation of the three-point bending tests-results.

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“…Using these Airy stress polynomial functions approach, Silverman [5], Hasin [6], Gerstner [7], Rao and Ghosh [8] and Cheng et al [9] developed exact solutions for laminated beams. An elasticity-based analytical solution for the bending analysis of beam structures is developed by Esendemir et al [10].…”

Section: Introductionmentioning

confidence: 99%

Analytical Elasticity Solution for the Stress Analysis of Arbitrarily-supported Isotropic Beams under Localized Loads

Singh,

Karathanasopoulos

Proceedings of the Fourteenth International Conference on Computational Structures Technology

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A two-dimensional elasticity-based analytical solution is presented for accurate stress analysis of arbitrarily-supported isotropic beams subject to patch loads. The 2D elasticitybased system of governing equations is formulated in mixed form by employing the Reissnertype variational principle and solved analytically for arbitrary boundary conditions by employing a multi-term extended Kantorovich (EKM) approach. The correctness and efficacy of the present mechanical model are established by comparing its results with finite element analysis solutions. It is shown that the analytical formulation is capable of capturing the displacement and highly localized stress concentration profile arising from patch loads both in thin and thick geometric configurations, outperforming classical laminate theory predictions.

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The Effects of Shear on the Deflection of Simply Supported Composite Beam Loaded Linearly

Cited by 19 publications

References 15 publications

Adaptive Segmentation Approach to Handle Material and Loading Discontinuities in the Analytical Solutions of Structural Problems

Adaptive Segmentation Approach to Handle Material and Loading Discontinuities in the Analytical Solutions of Structural Problems

Study of unidirectional fiber reinforced epoxy composites in short-beam bending test

Analytical Elasticity Solution for the Stress Analysis of Arbitrarily-supported Isotropic Beams under Localized Loads

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