Static and dynamic analyses of composite beams with interlayer slip

József, Lengyel Ákos

doi:10.32973/jcam.2015.002

Cited by 5 publications

(5 citation statements)

References 20 publications

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“…One finds an interesting agreement between the results presented by 6 Mathematical Problems in Engineering both methods. e profiles obtained are similar to the ones presented in [43]. Figure 4 shows the deflection distribution along the span, while Figure 5 shows the variation of the bending moment.…”

Section: 2supporting

confidence: 68%

Mathematical and Numerical Calculation of the Interlayer Slip of a Two-Layer Glued Beam

Doumia

Abo

Tuwa

et al. 2021

Mathematical Problems in Engineering

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This study analyses the spatial variation of the deflection, rotation, and slip at the interface of two-layer bamboo scrimber-concrete composite beam simply supported under uniform transverse load on its entire length. The Timoshenko model is considered, and the equations are solved using the analytical methods and direct numerical simulation based on finite differences schemes and a Fortran code. The results obtained show that it is a good agreement between the results from the mathematical calculation and those obtained from the numerical simulation.

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Section: 2supporting

confidence: 68%

Mathematical and Numerical Calculation of the Interlayer Slip of a Two-Layer Glued Beam

Doumia

Abo

Tuwa

et al. 2021

Mathematical Problems in Engineering

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“…moreover t 1 and t n + 1 temperatures are given. In the next step, instead of using equation (6) to compute the function of the temperature we will fit a curve or curves -for example with the least squares method -to the temperature values t i in order to make the further calculations easier especially the integrations. The approximation function has the following form:…”

Section: Determination Of the Temperature Fieldmentioning

confidence: 99%

“…There are a number of works where multilayered or heterogeneous structural components are analysed, for example in [6][7][8][9]. The paper of Obata and Noda [10] studied a one-dimensional steady-state thermal stress problem for functionally graded hollow circular cylinders and hollow spheres by the use of a perturbation approach to achieve the effect of the composition on stresses and to design the optimum FGM hollow circular cylinder and hollow sphere, under different assumptions of temperature distributions.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic analysis of thick-walled functionally gradedspherical pressure vessels with temperature-dependent material properties

Chapman¹

2017

JCAM

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The main objective of this paper is the determination of the displacement field and the associated stresses in spherical pressure vessels made of functionally graded materials which are subjected to axisymmetric thermal and mechanical loadings. The material properties are arbitrary functions of the radial coordinate and the temperature field. A numerical solution of this steady-state thermoelastic problem is presented which is based on a multilayered approach. The developed method can be used as an analytical solution for layered composite spherical bodies. The equations of the steady-state heat conduction and field equations of thermoelasticity are used for the problem, furthermore the original problem is solved as the superposition of two subproblems with simpler loads. The results of the developed solution are checked by an analytical solution where the linear thermal expansion is a specific function of the radial coordinate and the temperature, furthermore the Young modulus depends on the radial coordinate. The numerical results for functionally graded spheres under the action of constant pressure and temperature load are compared to the results of finite element simulation.

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“…Paper [3] reports mathematical models for determining the internal forces and deflections of hybrid timber-concrete structures, derived from the precise solution of the system of balance equations of the beam on malleable links. The deformation dependences, supplemented with the expressions to assess the free oscillations of a single-span hinge-supported composite beam, obtained using the bending theory of beams by Tymoshenko, are given in article [4]. The drawback of the cited works is the cumbersomeness of the formulae, as well as the lack of comparison of theoretical results with experimental data.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Calculation of the composite timberreinforcedconcrete bending elements considering the nonlinear work of the joint

Shekhorkina¹,

Savytskyi²,

Nikiforova³

et al. 2020

EEJET

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A method has been proposed to calculate the composite timber-concrete bending elements taking into consideration the non-linear work of a nail joint and the stretched reinforcement in a slab. An acting building code regulates the structure estimation based on the linear-elastic work while the pattern of the joint's deformation under loading demonstrates a pronounced non-linear character. Estimation formulae do not account for the presence of reinforcement in a concrete slab, which leads to the irrational use of the structure's load-bearing properties. A dependence has been proposed to determine the slip modulus. The determining coefficients are computed based on the rated characteristics given in the acting design standards. An algorithm for calculating the composite timber-concrete bending structures has been given, taking into consideration the deformation diagram of the joint and reinforcement in the stretched zone of a concrete element. It has been established that the normal stresses for the considered variants of timber-concrete beams, determined on the basis of the proposed procedure and the linear-elastic model, differ by 1-8 %. At loads corresponding to plastic deformations, those stresses that were estimated in line with the linear-elastic model prove to be understated. At loads exceeding 0.75 kN/m for the beam with a span of 3 m, and 0.5 kN/m for the beam with a span of 5 m, stresses in the stretched region of a concrete slab exceed the concrete stretching strength while the stresses in a timber beam do not reach the ultimate values. In fact, in this case, the structure's load-bearing capacity is underutilized because the stretching effort in the cross-section with a crack is accepted by the reinforcement. Based on the design features of timber-concrete floors (the thickness of a slab and protective layer), an analysis of the load-bearing capacity considering the reinforcement has been performed. It has been established that the load-bearing capacity of a slab ensures that an estimated bending momentum is tolerated up until the loads that cause the destruction of the timber beam. At the same time, the conditions for the rational operation of compressed concrete and stretched reinforcement are met

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Static and dynamic analyses of composite beams with interlayer slip

Cited by 5 publications

References 20 publications

Mathematical and Numerical Calculation of the Interlayer Slip of a Two-Layer Glued Beam

Mathematical and Numerical Calculation of the Interlayer Slip of a Two-Layer Glued Beam

Thermoelastic analysis of thick-walled functionally gradedspherical pressure vessels with temperature-dependent material properties

Calculation of the composite timberreinforcedconcrete bending elements considering the nonlinear work of the joint

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Static and dynamic analyses of composite beams with interlayer slip

Cited by 5 publications

References 20 publications

Mathematical and Numerical Calculation of the Interlayer Slip of a Two-Layer Glued Beam

Mathematical and Numerical Calculation of the Interlayer Slip of a Two-Layer Glued Beam

Thermoelastic analysis of thick-walled functionally gradedspherical pressure vessels with temperature-dependent material properties

Calculation of the composite timber­reinforced­concrete bending elements considering the nonlinear work of the joint

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Calculation of the composite timberreinforcedconcrete bending elements considering the nonlinear work of the joint