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Research Article

Development of Prediction Models for Shear Strength of FRP Reinforced Fibrous Concrete Beams without Stirrups Using ANN and Nonlinear Regression

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Pages 155-170 | Received 22 Apr 2023, Accepted 10 Aug 2023, Published online: 10 Sep 2023
 

ABSTRACT

The shear behaviour of fibre-reinforced polymer reinforced concrete (FRP-RC) beams without web reinforcement suffers from low strength, low stiffness, more brittleness and wide and quick propagated cracks. Fortunately, the addition of various types of fibres could improve most of these weaknesses. On the other hand, the shear strength prediction of FRP-RC beams with various types of fibres is one of the most complex cases in structural engineering applications. Developing generalised, precise and consistent prediction models are necessary and very limited. This paper investigates the impacts of various types of fibres on shear strength and presents proposing four new prediction models, utilising artificial neural networks and empirical nonlinear regression analysis, and modifying the combination of available models based on a collected database of 49 shear test results of FRP-RC members with various types of fibres. The comparison of the developed models with the available equations from the literature indicates that the developed models yielded excellent performance, great efficiency and a high level of accuracy over all other existing models. Additionally, the parametric study confirmed that all the developed models have great abilities to accurately predict the actual response of each parameter, in spite of its complexity, on the shear strength of FRP-reinforced fibrous concrete beams without stirrups.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

The data sets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

CRediT authorship contribution statement

Ghazi Bahroz Jumaa: Writing – original draft, Writing – review and editing.

Ghafur H. Ahmed: Methodology and modelling.

Nasih Habeeb Askandar: Writing – review and editing and data analysis

Notations

a/d=

Shear span to depth ratio

b=

Beam width, mm

c=

Depth of neutral axis

d=

Effective depth, mm

Df=

Diameter of fibre, mm

da=

Maximum aggregate size

Ef=

Modulus of elasticity of FRP reinforcement, MPa

ES=

Modulus of elasticity of steel reinforcement, MPa

F=

Fibre factor

fc’=

Cylindrical concrete compressive strength, MPa

kf=

Fibre bond factor

Lf=

Fibre length

Lf/Df=

fibre aspect ratio

vb=

fibre pull out strength, MPa

Vc=

Shear strength due to concrete contribution in beams without stirrups, N

Vcf=

Shear strength due to concrete and fibre contribution in beams without stirrups, N

Vf=

Fibre volume fraction

xn=

Any variable of the database

xn, normalised=

Normalised variable

xmin=

Minimum values of the data for the interested variable

xmax=

Maximum values of the data for the interested variable

ρ=

Flexural reinforcement ratio

λ=

Reduction factor, 1 for normal weight concrete and 0.75 for light-weight concrete

τ=

Bond strength

α=

Diagonal crack inclination

Additional information

Funding

This paper did not receive any specific grant from funding agencies in the public, commercial or not-for-profit sectors.

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