A failure criterion for RC beams subjected to axial and transverse loadings

Wahbi, Amal; Pham, Duc Toan; Hassen, Ghazi; Garnier, Denis; Buhan, Patrick de

doi:10.1016/j.engstruct.2021.113035

Cited by 2 publications

(8 citation statements)

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“…Based on the upper-bound kinematic approach of the yield design theory (Salençon, 21,22 de Buhan 23 ), a semianalytical method for the design of RC elements subjected to the combination of transverse and axial loads has been proposed by Wahbi et al. 20 According to this method, a virtual failure mechanism is considered, consisting of dividing the beam into two blocks (Blocks 1 and 2) separated by an inclined plane (line in 2D) of angle α, connecting the application point of the transverse load and the nearest (left) support. Each block is given a rigid body motion defined by the translation (À δ 1 : e x and δ 2 : e x for Blocks 1 and 2, respectively) and angular (À θ 1 : e z and θ 2 : e z for Blocks 1 and 2, respectively) velocities taken at the contact point of each support (Figure 15).…”

Section: Experimental Results With the Predictions Of The Yield Design Theorymentioning

confidence: 99%

“…Based on the upper‐bound kinematic approach of the yield design theory (Salençon, 21,22 de Buhan 23 ), a semi‐analytical method for the design of RC elements subjected to the combination of transverse and axial loads has been proposed by Wahbi et al 20 . According to this method, a virtual failure mechanism is considered, consisting of dividing the beam into two blocks (Blocks 1 and 2) separated by an inclined plane (line in 2D) of angle α , connecting the application point of the transverse load and the nearest (left) support.…”

Section: Comparison Of the Experimental Results With The Predictions ...mentioning

confidence: 99%

“…In this paper, the method proposed by Wahbi et al 20 is extended to the case of beams subjected to the same loading configuration, in addition to a negative bending moment M − applied at the ends of the beam, in order to have the same loading configuration as in the present experimental study. The work of the external loads is thus given by the expression below:

P_{ext} goodbreak= F \dot{θ_{2}} ((), l goodbreak- a) goodbreak+ N ([], ((), \dot{δ_{1}} goodbreak+ \dot{δ_{2}}) goodbreak- \frac{h ((), \dot{θ_{1}} goodbreak+ \dot{θ_{2}})}{2}) goodbreak+ M^{-} ((), \dot{θ_{1}} goodbreak+ \dot{θ_{2}})

…”

Section: Comparison Of the Experimental Results With The Predictions ...mentioning

confidence: 99%

“…Other methods can be found in the literature based also on the kinematic approach of yield design or limit analysis using different failure mechanisms (see, e.g., Ganwei and Nielsen 24,25 ; Zhang 26 ; Koechlin et al 27 ). Comparison between these methods and the proposed one can be found in Wahbi et al 20 …”

Section: Comparison Of the Experimental Results With The Predictions ...mentioning

confidence: 99%

“…Besides, the experimental shear strengths are compared to the predictions derived from the design formulas of Eurocode 2 1 in order to evaluate their practical validity. Finally, the experimental results are confronted to the semi‐analytical predictions of a method previously proposed by Wahbi et al 20 based on the upper‐bound kinematic approach of the yield design theory (Salençon 21,22 ; de Buhan 23 ). Originally developed for the design of RC elements subjected to the combination of transverse and axial loads, the method is extended here to take the negative bending moment applied in the present experimental study, into account.…”

Section: Introductionmentioning

confidence: 99%

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Experimental investigation on reinforced concrete beams subjected to axial compressive and shear forces

Wahbi

Pham

Hassen

et al. 2021

Structural Concrete

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This paper presents two experimental campaigns carried out on 36 reinforced concrete (RC) beams (with and without shear reinforcement) subjected to a three-point bending loading with a shear force on the one hand, an axial compressive load and a negative bending moment applied at each end of the beams on the other hand. Such a loading configuration makes it possible to investigate the influence of both axial compression and negative bending moment on the shear capacity of RC beams. For each campaign, three values of axial compressive force were studied, and the test beams were divided into two series with low and high negative bending moment. During the tests, Digital Image Correlation technique was used to capture the cracking evolution of the specimens. Besides, the experimental shear strengths of the beams are confronted to the predictions of Eurocode 2 in order to assess its practical validity. Finally, a semi-analytical method proposed by Wahbi et al. 2021 (A failure criterion for RC beams subjected to axial and transverse loadings) for evaluating the resistance domain of RC elements subjected to transverse and axial loads, is extended in this paper to take into account the negative bending moment and compared to the experimental results.

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Section: Experimental Results With the Predictions Of The Yield Design Theorymentioning

confidence: 99%

Section: Comparison Of the Experimental Results With The Predictions ...mentioning

confidence: 99%