Abstract
Plate structures are an integral part of engineering and construction industry. Taking into consideration various design and functional aspects, openings are provided in these plates for access and maintenance. The presence of cutout creates stress concentration, which eventually reduces the mechanical strength of the structure and in extreme cases may lead to its failure. Therefore it is of immense practical importance to investigate these stress concentrations. In this work the deflection and induced stresses for isotropic plate and orthotropic plate with central circular and square cutout under transverse loading is studied with the help of Finite Element Method (FEM). The variation in deflection and stresses with change in d/W and b/W ratio for steel (isotropic material) as compared to e-glass/epoxy (orthotropic material) is studied. Dependence of the deflection and Stress Concentration Factor (SCF) on cutout geometry and size is also observed. The effect of orienting the square cutout with positive X-baseline is also studied. Four different boundary conditions are considered. The results so obtained are critically examined and presented in graphical form. A popular finite element package, ANSYS has been used for the analysis.
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Abbreviations
- L:
-
Length of rectangular plate, mm
- W:
-
Width of rectangular plate, mm
- b:
-
Side length of square cut out, mm
- d:
-
Diameter of circular cut out, mm
- θ:
-
Orientation of square cutout from the baseline in X axis, degrees
- UZ :
-
Maximum deflection with cut out, mm
- UZ*:
-
Maximum deflection without cut out, mm
- Kt :
-
Stress concentration factor (SCF)
- σx :
-
Normal stress in X-direction of plate, N/mm2
- σy :
-
Normal stress in Y-direction of plate, N/mm2
- σxy :
-
Shear stress in XY-direction of plate, N/mm2
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Acknowledgments
This paper is a revised and expanded version of an article entitled, “Static Analysis of Isotropic & Orthotropic Plates with Central Cutout under Transverse Loading” presented in “National Conference on Recent Advancements in Mechanical Engineering” held at ‘North East Regional Institute of Science and Technology’, Arunachal Pradesh, India during November 8–9, 2013.
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Kalita, K., Halder, S. Static Analysis of Transversely Loaded Isotropic and Orthotropic Plates with Central Cutout. J. Inst. Eng. India Ser. C 95, 347–358 (2014). https://doi.org/10.1007/s40032-014-0138-9
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DOI: https://doi.org/10.1007/s40032-014-0138-9