Influence of mixing tropical timber species and material heterogeneities on the long-term stability of slender glulam beam columns

Ourmama, Martial; Lissouck, René Oum; Ohandja, Louis Max Ayina

doi:10.1080/17480272.2021.1977695

Cited by 4 publications

(8 citation statements)

References 21 publications

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“… [ K L ] is the global structural elastic stiffness matrix; [ K D ( σ ) ] is he global differential stiffness matrix; [ K false( Q false) T false( j false) ] is the global tangent stiffness matrix. 45 The value of the critical load of the problem is given by the relation (43) below 32 :…”

Section: Methodsmentioning

confidence: 99%

“…The determination of the critical load according to the direct method was based on a work-energy approach . 32 One key point was the calculation of the eigenvectors {Q} and the eigenvalues {l} which correspond respectively to the eigenmodes and the amplification coefficients of the load. 44,45 The eigenvalues are determined by using equation ( 41):…”

Section: Application: Validation Of the Non-linear Stiffness Matrixmentioning

confidence: 99%

“…is the global tangent stiffness matrix. 45 The value of the critical load of the problem is given by the relation (43) below 32 :…”

Section: Application: Validation Of the Non-linear Stiffness Matrixmentioning

confidence: 99%

“…A non-linear framework of long-term instability analysis of tropical slender wood beam-columns under compressive load was investigated by Ayina 31 and Ourmama et al 32 using the Finite Element Method (FEM). They used a 2D beam element (four degrees of freedom) corresponding to a 4 3 4 stiffness matrix.…”

Section: Introductionmentioning

confidence: 99%

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Non-linear analysis of the flexural-torsional stability of slender tropical glulam beams

Bikanda,

Lissouck,

Massaga

et al. 2023

The Journal of Strain Analysis for Engineering Design

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The main objective of this manuscript is to model the flexural-torsional buckling of slender tropical glulam beams using the finite element method. The non-linear approach to quantify both the buckling strength and the lateral geometrical features of wooden beams is proposed. A very rigorous methodology is used which is based on the kinematic Vlasov’s theory to determine the displacement field of the beam section by considering an updated Lagrangian description. For the finite element discretization, the Author develop a single wood element characterized by 14 degrees of freedom, i.e. seven degrees for each nodal point, and derive non-linear stiffness matrices by using the virtual works principle. The model is implemented in MatLab and the numerical results are compared with results based on the classical linear stability theory of slender wood beams. The selected case-studies are a cantilever beam and a beam on two supports.

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Section: Methodsmentioning

confidence: 99%

Section: Application: Validation Of the Non-linear Stiffness Matrixmentioning

confidence: 99%

“…is the global tangent stiffness matrix. 45 The value of the critical load of the problem is given by the relation (43) below 32 :…”

Section: Application: Validation Of the Non-linear Stiffness Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Non-linear analysis of the flexural-torsional stability of slender tropical glulam beams

Bikanda,

Lissouck,

Massaga

et al. 2023

The Journal of Strain Analysis for Engineering Design

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“…The use of wood, as a structural main-based material in such infrastructures, may present several advantages. It is aesthetic and endowed with an interesting strength-to-weight ratio compared to materials such as concrete and steel [1]. Construction wood fares well in environmental analyses due to its carbon sequestration properties and the climate benefits associated with the sustainable management of forests [2].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Steel Reinforcement on the Nonlinear Behaviour of Slender Glulam Beam Columns by Using the Newton-Raphson Method

Ourmama,

Manjia,

Fezeu

2024

OJAppS

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The current theory in NF EN 1995-1-1/NA of Eurocode 5, which is based on maximum deflection, has been investigated on softwoods. Therefore, this theory is not adapted for slender glulam beam columns made of tropical hardwood species from the Congo Basin. This maximum deflection is caused by a set of loads applied to the structure. However, Eurocode 5 doesn't provide how to predict this deflection in case of long-term load for such structures. This can be done by studying load-displacement (P-Δ) behaviour of these structures while taking into account second order effects. To reach this goal, a nonlinear analysis has been performed on a three-dimensional beam column embedded on both ends. Since conducting experimental investigations on large span structural products is time-consuming and expensive especially in developing countries, a numerical model has been implemented using the Newton-Raphson method to predict load-displacement (P-Δ) curve on a slender glulam beam column made of tropical hardwood species. On one hand, the beam has been analyzed without wood connection. On the other hand, the beam has been analyzed with a bolted wood connection and a slotted-in steel plate. The load cases considered include self-weight and a uniformly applied long-term load. Combinations of serviceability limit states (SLS) and ultimate limit states (ULS) have also been considered, among other factors. A finite-element software RFEM 5 has been used to implement the model. The results showed that the use of steel can reduce displacement by 20.96%. Additionally, compared to the maximum deflection provided by Eurocode 5 for softwoods, hardwoods can exhibit an increasing rate of 85.63%. By harnessing the plastic resistance of steel, the bending resistance of wood can be increased by 32.94%.

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Investigation of green-glued laminated timber from the Congo Basin: durability, mechanical strength and variability trends of the bondlines

Lissouck

Mvondo

Ateba

et al. 2022

Southern Forests: a Journal of Forest Science

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Influence of mixing tropical timber species and material heterogeneities on the long-term stability of slender glulam beam columns

Cited by 4 publications

References 21 publications

Non-linear analysis of the flexural-torsional stability of slender tropical glulam beams

Non-linear analysis of the flexural-torsional stability of slender tropical glulam beams

Simulation of Steel Reinforcement on the Nonlinear Behaviour of Slender Glulam Beam Columns by Using the Newton-Raphson Method

Investigation of green-glued laminated timber from the Congo Basin: durability, mechanical strength and variability trends of the bondlines

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