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17 articles for “trigonometric shear deformation”
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Flexure of Thick Cantilever Beams using Trigonometric Shear Deformation Theory
Abstract: A trigonometric shear deformation theory for flexural analysis of thick beams, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. The noteworthy feature of this theory is that the transverse shear stresses …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 1, 2012 Read article
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Flexure and vibration of thick beams using trigonometric shear deformation theory
Abstract: A trigonometric shear deformation theory is used for flexural analysis of thick beams, taking into account transverse shear deformation effect. The theory accounts for cosine distribution of transverse shear strain through the thickness of the beam. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The general solutions for the transverse displacement and rotation are presented for transversely loaded beams. The solutions for …
Published in Journal of Experimental & Applied Mechanics · Vol. 1, Issue 1, 2010 · pp. 1–27 Read article
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Free Vibration Analysis of Rectangular Plates using Two Variable Trigonometric Shear Deformation Theory
Abstract: In this paper, a two variable trigonometric shear deformation plate theory is developed for the free vibration analysis of thick isotropic square and rectangular plates. The theory involves only two unknowns, as against three in first order shear deformation theory and other higher order theories. In this displacement based theory, the in-plane displacement field uses sinusoidal function in terms of thickness coordinate to include the shear deformation effect. The transverse …
Published in Journal of Experimental & Applied Mechanics · Vol. 6, Issue 3, 2015 · pp. 58–64 Read article
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Cylindrical Bending of Shear Flexible Plates Using Trigonometric Shear Deformation Theory
Abstract: A trigonometric shear deformation theory for cylindrical bending of shear flexible plates taking into account transverse shear deformation effect is developed. The displacement field of the theory uses sinusoidal function in terms of thickness coordinate to include shear deformation effects. It has only two variables. It is to be noted that the present theory satisfies the constitutive relations in respect of transverse shear strain and stress. The transverse shear stress …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 2-3, 2012 Read article
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Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)
Abstract: For the thermal analysis of simply supported square and rectangular plates applied to sinusoidal distributed linear thermal load throughout the plate thickness and in combination with sinusoidal distributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. In this work, a sinusoidal function in terms of thickness coordinates is being used in the displacement field in conjunction with the transverse shear deformation effect. The normal and shear stress can …
Published in Journal of Experimental & Applied Mechanics Read article
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Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)
Abstract: For the thermal analysis of simply supported square and rectangular plates applied to sinusoidaldistributed linear thermal load throughout the plate thickness and in combination with sinusoidaldistributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. Inthis work, a sinusoidal function in terms of thickness coordinates is being used in the displacement fieldin conjunction with the transverse shear deformation effect. The normal and shear stress can bedetermined by using the …
Published in Journal of Experimental & Applied Mechanics · Vol. 12, Issue 3, 2021 · pp. 10–33 Read article
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Thermal Analysis of Isotropic and Orthotropic Plate by Trigonometric Shear Deformation Theory
Abstract: In the present study, a sinusoidal shear and normal deformation theory taking into account effects of transverse shear as well as transverse normal is used to develop the analytical solution for the bidirectional bending analysis of isotropic, transversely isotropic, laminated composite and sandwich rectangular plates. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The Navier solution for simply supported laminated composite plates …
Published in Journal of Geotechnical Engineering Read article
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Bidirectional Bending of Laminated Plates Using Trigonometric Shear Deformation Theory
Abstract: Bidirectional bending analysis of symmetric cross-ply laminated plates using trigonometric shear deformation theory is presented. Theory takes into account of transverse shear deformation effect without transverse strain effect. Theory uses sinusoidal function in the displacement field in terms of thickness coordinate to include shear deformation effects. It has only three variables. It is to be noted that the present theory satisfies the constitutive relations in respect of transverse shear strain …
Published in Journal of Experimental & Applied Mechanics · Vol. 4, Issue 1, 2013 · pp. 1–7 Read article
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A Discrete Layer Shear Deformation Theory for Flexure of Thick Cross-ply Laminated Beams
Abstract: A discrete layer shear deformation theory taking into account transverse shear deformation effects, is presented for flexure of two layered (90/0) cross ply laminated beams. The displacement field of the theory contains two variables. Theory does not require shear correction factor. The sinusoidal function is used in the displacement field in terms of thickness coordinate to represent shear deformation. Transverse shear stress can be obtained from the use of constitutive …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 Read article
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Thermal Stress Analysis of Cross-ply Laminated Plates using Refined Shear Deformation Theory
Abstract: A refined shear deformation theory is presented for laminated plates under thermal loading. The in-plane displacement field uses sinusoidal function in terms of thickness co-ordinate to include the shear deformation effect. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Stresses and deflections of isotropic, orthotropic, symmetric and antisymmetric cross- ply laminated plates subjected to linear thermal loads are obtained. It is to …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 Read article
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Bending Analysis of Sandwich Beams According to Refined Trigonometric Beam Theory
Abstract: An equivalent single layer trigonometric shear deformation theory is presented for flexure of sandwich beams. The axial displacement field uses trigonometric function in terms of thickness coordinate to include the effect of transverse shear deformation. The transverse displacement is assumed to be a function of longitudinal direction. Normal and shear strains corresponding to assumed displacement field of the present theory are obtained within the framework of linear theory of elasticity. …
Published in Journal of Aerospace Engineering & Technology · Vol. 5, Issue 3, 2015 · pp. 27–37 Read article
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Displacements in Thick Beams Using Refined Shear Deformation Theory
Abstract: Normal 0 false false false EN-US X-NONE X-NONE A trigonometric shear deformation theory for displacement of thick beams, by considering the transverse shear deformation effects, is presented. Variables in the present theory are same as that of in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. Governing differential equations and various boundary conditions …
Published in Journal of Aerospace Engineering & Technology · Vol. 4, Issue 3, 2014 · pp. 22–30 Read article
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Static Flexure of Thick Fixed Beams Subjected to Cosine Loading using Refined Shear Deformation Theory
Abstract: The theory is developed to analyze the thick fixed beam considering the effect of transverse shear deformation. The important feature of this theory is that the transverse shear stresses can be obtained directly using constitutive relationship. While developing the theory the number of variables is kept same as that of first order shear deformation theory. As the theory satisfies the zero shear stress condition on the top and bottom of …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 2, 2016 · pp. 1–11 Read article
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Finite Element Analysis of Thick Beams using Lagrange-9 Element and ADINA
Abstract: There has been a lot of research in the field of thick beam analysis. The classical beam theory was the first beam theory but it neglected the effects of shear deformation and this induce the need for further research to develop the beam theory to be helpful in thick beams where the shear deformation is paramount. In this research work, the trigonometric shear deformation theory for thick beam, which includes …
Published in Journal of Experimental & Applied Mechanics · Vol. 7, Issue 3, 2016 · pp. 50–57 Read article
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Thermal Analysis of Isotropic and Orthotropic Plate By Trignometric Shear Deformation Theory
Abstract: In the present study, a sinusoidal shear and normal deformation theory taking into account effects of transverse shear as well as transverse normal is used to develop the analytical solution for the bidirectional bending analysis of isotropic, transversely isotropic, laminated composite and sandwich rectangular plates. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The Navier solution for simply supported laminated composite plates …
Published in Journal of Geotechnical Engineering · Vol. 8, Issue 2, 2021 · pp. 38–59 Read article
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A New Hyperbolic Shear Deformation Theory for Flexure of Thick Simply Supported Beam
Abstract: A new hyperbolic shear deformation theory for flexure of simply supported thick or deep beam, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the hyperbolic shear deformation theory. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The trigonometric function is used in displacement field in terms of thickness …
Published in Journal of Structural Engineering and Management · Vol. 1, Issue 3, 2014 · pp. 15–22 Read article
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Computation of Different Stresses Acting on Cantilever Beam Using Hyperbolic Shear Deformation Theory
Abstract: The shear deformation effects are more significant in the thick beams. The classical beam theory (ETB) is based on Bernoulli-Euler hypothesis and the classical plate theory (CPT) is based on Kirchhoff’s hypothesis. The shear deformation effects are more pronounced in the thick beams when subjected to transverse loads than in the thin beams under same loading condition. These effects are neglected in elementary theory of beam (ETB). In order to …
Published in Journal of Structural Engineering and Management · Vol. 4, Issue 1, 2017 · pp. 7–18 Read article