Closed-form analytical solution to the problem of bending of a multilayer composite beam – Derivation and verification

Szeptyński, Paweł

doi:10.1016/j.compstruct.2022.115611

Cited by 4 publications

(5 citation statements)

References 30 publications

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“…Some individual cases fall beyond these general estimates. Qualitatively similar findings regarding normal stress in bent layers were reported in [32,37]; • An overestimation of the stresses in the analytical model results in the fact that cracking occurs for smaller magnitudes of the ULD, compared to the FEA; however, both estimates are similar; • The use of more stiff adhesives results in smaller deflection, smaller distortional strain in the adhesive, larger shear stress in the adhesive, and smaller normal stresses in concrete-this relation is reproduced by both the analytical model and FEA. This conclusion concerns both the change in the adhesive's stiffness related with the type of polymer, as well as with the strain rate;…”

Section: Discussionsupporting

confidence: 86%

“…The methods of solving linear systems of first-order ODEs with constant coefficients are well known. In [32], an analytical solution to this problem was found with the use of the method of generalized eigenvectors [40]. Closed-form expressions for maximal deflections and maximal stresses both in the bent layers and the sheared layer may be derived for the case of a simply supported beam loaded with uniformly distributed load (UDL) as…”

Section: Analytical Solutions For a Simply Supported Beam Under A Uni...mentioning

confidence: 99%

“…The problem of the theoretical analysis of highly nonlinear PUFJ is not trivial. Analytical and numerical analyses of PUFJ behavior were carried out using various methods [32,33]. In the present article, a composite girder is analyzed, which consists of an RC slab and an RC beam connected with a layer of FPU adhesive.…”

Section: Introductionmentioning

confidence: 99%

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The Influence of the Flexibility of a Polymeric Adhesive Layer on the Mechanical Response of a Composite Reinforced Concrete Slab and a Reinforced Concrete Beam Girder

Szeptyński,

Pochopień,

Jasińska

et al. 2024

Polymers

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This study addresses the challenges of modeling flexible connections in composite structures employing a polymeric adhesive layer. These types of connections provide a more uniform stress distribution compared to conventional rigid connectors. However, they lack standardized design rules and still require much research to sufficiently comprehend their properties. The novelty of this research lies in proposing an analytical solution to address these issues. Its aim is to investigate the influence of the stiffness of the polymer adhesive on the girder’s deflection and on the maximum stresses in both the adhesive and concrete. The analyzed composite structure consists of a reinforced concrete (RC) slab and an RC beam connected with a layer of flexible polyurethane (FPU) adhesive. Analytical and numerical approaches for the description of the mechanical response of a composite bridge girder are presented. Another objective is to validate the analytical design formulas using 3D nonlinear numerical analysis, both in the case of uncracked and cracked concrete. Seven types of FPUs are tested in the uniaxial tension test, each examined at five strain rates. The obtained data is used to predict the mechanical response of the considered girder using finite element analysis (FEA) as well as with a simplified one-dimensional composite beam theory. Fair agreement is found between the FEA results and theoretical predictions. A comparison of the results obtained for these two models is performed, and the similarities and discrepancies are highlighted and discussed.

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Section: Discussionsupporting

confidence: 86%

Section: Analytical Solutions For a Simply Supported Beam Under A Uni...mentioning

confidence: 99%

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The Influence of the Flexibility of a Polymeric Adhesive Layer on the Mechanical Response of a Composite Reinforced Concrete Slab and a Reinforced Concrete Beam Girder

Szeptyński,

Pochopień,

Jasińska

et al. 2024

Polymers

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“…The applied glass FRPU system efficiently protected the damaged orthoblock infills against collapse, under in plane or under out-of-plane excitation, and resulted in recovery of stiffness to the level of 25% of the initial stiffness before the tests. A separate area is attempts to describe the influence of non-linear material characteristic of flexible adhesive on the performance of lap joints [5], as well as attempts to determine the parameters of the Mooney Rivlin model [6] or to use of the Darijani -Naghdabadi Strain Tensors and Kirchhoff -de Saint-Venant Elastic Potential to model of flexible adhesives in simple mechanical states [7]. On the basis of experimental tests, analytical models of connection behaviour description were developed [8] and numerical models were made for flexible adhesive connections [9].…”

Section: Introductionmentioning

confidence: 99%

PUFJ (PolyUrethane Flexible Joints) as an innovative polyurethane system for structural and non-structural bonding of timber elements

Śliwa-Wieczorek

Zając

2023

J. Phys.: Conf. Ser.

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PolyUrethane Flexible Joints (PUFJ) as an innovative adhesive system has been developed by a team of researchers from the Cracow University of Technology (CUT) for several years. Initially, the research focused mainly on joining masonry and reinforced concrete elements. Due to environmental concerns and climate changes, further advancement of the PUFJ system was focused on the technology development based on connecting natural materials such as wood and wood-based materials. In 2019, the cooperation of the CUT with a private company resulted in the implementation of the PUFJ system for the construction of innovative connections in a prefabricated timber frame construction of a family house near Cracow. Currently, further research are carried out focused on the complex understanding of behaviour of adhesive bond used in structural and non-structural timber bonding, taking into account different species of wood (pine, spruce, beech, douglas fir) and a different thickness of the flexible adhesive layer (from 1 mm to 30 mm). The article contains the properties of the PUFJ system, describes variants of the available applications (wet application in form of liquid substance curing in time or dry application as a prefabricated bonding layers glued to the elements with a thin adhesive layer). Examples of double-lap shear connections and laminated beams made of douglas fir wood of C24 class and Sika®PS polyurethane flexible layer are presented. All specimens were constructed with three various flexible adhesive thicknesses of 1, 2 and 4 mm. The influence of elevated temperature on the load capacity of the connection and on the final deflection was tested. The tests were conducted at four temperature levels (20, 40, 60 and 80°C).

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“…A composite structural element consists of at least two components made of different material and permanently joined with shear connectors (e.g., steel-concrete composite beams), whereas a composite material is a combination of materials with different properties (e.g., reinforced concrete or plywood). The use of composite structural elements is continuously on the rise due to the fact that it provides for increased load-bearing capacity and helps to overcome serviceability limitations [ 1 ]. For example, the load-bearing capacity of unrestrained aluminium beams increased 7.0 times after they were joined with timber slabs [ 2 ].…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of Aluminium-Timber Composite Bolted Connections Strengthened with Toothed Plates

Chybiński

Polus

2022

Materials

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This paper presents the first experimental study of the load-slip behaviour of aluminium-timber composite bolted connections reinforced with toothed plates. The effectiveness of the strengthening was evaluated in laboratory push-out tests. The push-out test samples consisted of laminated veneer lumber panels, aluminium alloy I-beams, and bolts (grade 8.8 10 mm × 125 mm and 12 mm × 135 mm bolts, grade 5.8 10 mm × 125 mm and 12 mm × 135 mm bolts). A group of 16 specimens had toothed plates as additional reinforcement, while 16 specimens had no reinforcement. The impact of the bolt diameter (10 and 12 mm) and bolt grade (5.8 and 8.8) on the behaviour of the connections was also analysed. The values of the ultimate load and the slip modulus for the bolted connections with grade 8.8 10 mm and 12 mm bolts and with grade 5.8 12 mm bolts reinforced by toothed-plate connectors were comparable to the values for the non-reinforced connections. This was because, in the case of grade 8.8 10 mm × 125 mm and 12 mm × 135 mm bolts and grade 5.8 12 mm × 135 mm bolts, the laminated veneer lumber (LVL) slabs split both in the reinforced and non-reinforced connections. The toothed-plate connectors reduced timber destruction in the bearing zones in the LVL slabs. However, they did not protect the LVL slabs against splitting. Therefore, the impact of the toothed plate connectors on the stiffness and strength of the bolted connections with grade 8.8 10 mm and 12 mm bolts and with grade 5.8 12 mm bolts analysed in this paper was found to be negligible. In the case of grade 5.8 10 mm bolts, the LVL slabs did not split. The mean slip modulus k0.6 of the connections with grade 5.8 10 mm bolts reinforced with toothed plate connectors was 2.9 times higher than that of the non-reinforced connections. However, the strength of the connections with grade 5.8 10 mm bolts was 1.2 times lower after reinforcing. This was because the shanks of the bolts were sheared faster in the reinforced connections than in the non-reinforced connections as a result of the bolt shanks being under the bearing pressure of the aluminium flange, the LVL slab, and the toothed-plate flange. This situation did not occur for the remaining connections because they had a higher strength (grade 8.8 bolts) or a larger diameter (12 mm), and their bolts were less prone to cutting off. The investigated load–slip curves of the reinforced bolted connections can be used for designing and numerical modelling of aluminium-timber composite beams with this type of connection.

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Closed-form analytical solution to the problem of bending of a multilayer composite beam – Derivation and verification

Cited by 4 publications

References 30 publications

The Influence of the Flexibility of a Polymeric Adhesive Layer on the Mechanical Response of a Composite Reinforced Concrete Slab and a Reinforced Concrete Beam Girder

The Influence of the Flexibility of a Polymeric Adhesive Layer on the Mechanical Response of a Composite Reinforced Concrete Slab and a Reinforced Concrete Beam Girder

PUFJ (PolyUrethane Flexible Joints) as an innovative polyurethane system for structural and non-structural bonding of timber elements

Experimental Study of Aluminium-Timber Composite Bolted Connections Strengthened with Toothed Plates

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