Analytical Integration over Cross-Sections in the Analysis of Spatial Reinforced-Concrete Beams

2009 ◽  
Author(s):  
D. Zupan ◽  
M. Saje
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Concrete Beams ◽  
Reinforced Concrete Beams ◽  
Analytical Integration

Calcul de la rigidité de torsion des poutres en béton armé fissurées en flexion

1996 ◽  
Vol 23 (6) ◽  
pp. 1190-1198 ◽  
Author(s):  
Naceur Eddine Hannachi ◽  
Bernard Fouré
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Concrete Beams ◽  
Reinforced Concrete Beams ◽  
Torsional Stiffness ◽  
Longitudinal Reinforcement ◽  
Shape Stability ◽  
Simultaneous Influence ◽  
Small Torque ◽  
Good Agreement

This paper proposes a method to calculate the torsional stiffness of reinforced concrete beams with section of any shape, in a cracked state due to bending, subjected to small torque (shape stability problems). The simultaneous influence of the various parameters (shape of the section, state of cracking, longitudinal reinforcement) is taken into account. A series of laboratory tests on beams with hollow, massive, or double-tee thin cross sections gives data to determine semi-empirically some parameters. Calculated and experimental stiffnesses are in rather good agreement. The proposed method fills in a gap in the nonlinear calculation of reinforced concrete. Key words: reinforced concrete, flexural cracking, torsional stiffness, calculation method, nonlinear elasticity, stability.

scholarly journals Simulation of the Stress-Strain State of Eccentrically Compressed and Tensioned Reinforced Concrete Beams

2020 ◽  
Vol 2 (1) ◽  
pp. 207-214
Author(s):  
Vasyl Karpiuk ◽  
Yuliia Somina ◽  
Oksana Maistrenko ◽  
Fedir Karpiuk
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Strain State ◽  
Concrete Beams ◽  
Reinforced Concrete Beams ◽  
Improved Method ◽  
Stress Strain ◽  
Stress Strain State ◽  
Strain Behaviour ◽  
Concrete Elements

AbstractThe paper deals with the working peculiarities of the support zones of reinforced concrete elements subject to bending with due account of the eccentric compression and tension. The authors performed simulation of the stress-strain behaviour of the indicated structures with the aid of “Lira” software which results are shown in the graphical and tabulated form. The performed simulation allowed of tracing the work of the studied sample beams till collapse. Such approach made it possible to single out and generalize the main collapse patterns of the inclined cross-sections of the reinforced concrete elements subject to bending on which basis the authors developed the improved method to calculate their strength (Karpiuk et al., 2019).

EFFECT OF CFRP STRIPS BONDING LOCATION ON FLEXURAL CAPACITY AND DUCTILITY OF REINFORCED CONCRETE BEAMS

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Mina Iskander ◽  
Mina Melad ◽  
Mourad Yasser ◽  
Waleed Abdel Rahim ◽  
Amr Mosa ◽  
...  
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Concrete Beams ◽  
Reinforced Concrete Beams ◽  
Traditional Methods ◽  
Flexural Strengthening ◽  
Advanced Composite ◽  
Advanced Composite Materials ◽  
The Impact ◽  
Strength And Ductility

Strengthening reinforced concrete beams using laminate of advanced composite materials has gained ground recently due to its lower cost and simplicity compared to traditional methods. These traditional methods are usually done by either increasing the reinforcement or the beam’s dimensions, which naturally requires formwork, and hinder the structural usage. One of the most impediments of using bonded laminate in strengthening beams is debonding. In flexural strengthening of beams, this debonding occurs via mid-span debonding or end-delamination of the laminate. Herein, ten RC beams were experimentally tested in flexure under three-point loading. The reinforced concrete beams have rectangular cross sections and were strengthened by bonded CFRP strips. Flexural strength and ductility were investigated in order to reveal the impact of changing the CFRP strips’ locations with respect to the beams’ cross section. The CFRP strips were attached to the reinforced concrete beams sides of bottoms. The first configuration is thought to reduce the effect of flexure cracks in the mid-span of the beams, which may delay the deboning of these laminates. In order to anchor the strips, close to the support and eliminate end delamination, CFRP sheets were wrapped at these locations. Based on the proposed configurations, the flexure strength of the beams increased by an average of 40%.

Calculation of Resistance and Non-Linear Analysis of Reinforced Concrete Beams

2019 ◽  
Vol 292 ◽  
pp. 140-145
Author(s):  
Pavlina Mateckova ◽  
Lucie Mynarzova ◽  
Oldrich Sucharda ◽  
Vlastimil Bilek
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Concrete Beams ◽  
Numerical Models ◽  
Material Model ◽  
Linear Analysis ◽  
Reinforced Concrete Beams ◽  
Modes Of Failure ◽  
Eurocode 2 ◽  
Non Linear

This paper deals with analysis of set of reinforced concrete beams. Loading experiments of these beams were carried out and the results were documented and published earlier. Experiments involve several variants of spans, cross-sections and reinforcement so that various modes of failure of reinforced concrete structures are achieved. This paper compares the resistance of particular beams defined according to valid standard Eurocode 2 with non-linear analysis using advanced spatial 3D numerical models Cementitious material model based on fracture mechanics implemented in ATENA software. This paper outlines the wider evaluation of failure mode of beam and comparison of different calculations of resistance of the cross-section.

A New Solution to the Height of the Compressive Area of Reinforced Concrete Beams during Service Stage

2013 ◽  
Vol 353-356 ◽  
pp. 3232-3235
Author(s):  
Jiu Jian Zheng ◽  
Li Zong ◽  
En Guo
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Calculation Method ◽  
Concrete Beams ◽  
Neutral Axis ◽  
Reinforced Concrete Beams ◽  
Specific Calculation ◽  
Flexural Members

The compressive height of reinforced concrete flexural members in service stage is generally obtained by equations based on the concept, moment-of-area of conversion area with respect to the neutral axis in tension zones equaling to that in compression zones. In this paper a specific calculation method of compressive height for singly or doubly reinforced rectangular and T-shaped cross sections is proposed.

On the Experimental Analysis of Temperature Influence on Stiffness of Reinforced Concrete Beams

2015 ◽  
Vol 6 (1) ◽  
pp. 49-58 ◽  
Author(s):  
Robert Kowalski ◽  
Michal Glowacki ◽  
Marian Abramowicz
Keyword(s):  
Reinforced Concrete ◽  
Cross Section ◽  
Cross Sections ◽  
Concrete Beams ◽  
Rectangular Cross Section ◽  
Thermal Strain ◽  
Bending Moment ◽  
Reinforced Concrete Beams ◽  
Stiffness Reduction ◽  
Tensile Zone

The paper presents results of experimental research whose main topic was determination of stiffness reduction in bent reinforced concrete beams in two cases: when only tensioned or only compressed zone was exposed to high temperature. Twenty four reinforced concrete beams with rectangular cross-section were prepared for the experiment. Eight groups of beams were prepared in total: 2 with reinforcement ratio - 0.44 and 1.13% x 2 levels of load - 50 or 70% of destructive force ensuring the constant value of bending moment in the centre part of heated beams x 2 static schemes. Three beams were used in each group. Significant cross-section stiffness reduction was observed in beams where the tensile zone was heated. This was due to considerable elongation of the bars where the steel load elongation summed up with the free thermal strain. In beams where the compressed zone was heated the stiffness reduction was observed only after the time where the tensile zone heated cross-sections were already destroyed.

Deflection of GFRP-reinforced concrete beams

2021 ◽  
pp. 002199832110029
Author(s):  
Katarína Gajdošová ◽  
Róbert Sonnenschein ◽  
Stanislav Blaho
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Concrete Beams ◽  
Reinforced Concrete Beams ◽  
Bending Test ◽  
Fiber Reinforced Polymers ◽  
Concrete Members ◽  
Glass Fiber Reinforced ◽  
Gfrp Reinforcement

This paper presents an investigation of the performance of concrete beams reinforced with glass fiber-reinforced polymers (GFRP) under short-term loading. A total of six specimens with rectangular cross-sections (75 mm in height and 150 mm in width) were tested under a four-point bending test to failure. Each specimen was reinforced with two GFRP bars with diameters of 8 mm. The results of this study demonstrated the behavior of GFRP-reinforced concrete members and a validation of the available calculation methods for the deflection of these members and assumed possibilities of the use of a GFRP reinforcement over the long term. The results of the study presented show a very good agreement of an experimentally measured and theoretically calculated instantaneous deflection when using the approaches in the European and American standards. In calculations of long-term deflections, the results are highly inconsistent and seem to be quite overestimated in some cases. The study shows the necessity of real-time long-term measurements to demonstrate the real deformations to be assumed during design of structures reinforced with GFRP reinforcement.

scholarly journals Results of experimental studies of high-strength fiber reinforced concrete beams with round cross-sections under combined bending and torsion

2020 ◽  
Vol 16 (4) ◽  
pp. 290-297
Author(s):  
Vladimir I. Travush ◽  
Nikolay I. Karpenko ◽  
Vladimir I. Kolchunov ◽  
Semen S. Kaprielov ◽  
Alexey I. Demyanov ◽  
...  
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Concrete Beams ◽  
High Strength ◽  
Fiber Reinforced Concrete ◽  
Reinforced Concrete Beams ◽  
Reinforced Concrete Structures ◽  
Fiber Reinforced ◽  
High Strength Fiber ◽  
Round Cross

The aim of the work - experimental investigation on crack propagation and deformation in high-strength fiber reinforced concrete beams with round cross-sections under combined bending and torsion for the development of practical methods of crack resistance, deformation and strength analysis of such structures, and also for the accumulation of new experimental data on resistance under combined loading. Method is experimental-theoretical. Results. Deflection plots and force-deformation relationships for high-strength fiber reinforced concrete beams with round cross-sections under combined bending and torsion are determined experimentally. Principal deformations in terms of elongation and compression of concrete for the experimental beam structures with high torsion to bending moment ratio are determined. It is established that for high-strength fiber reinforced concrete structures of circular cross-section, generally, development of one-two discrete cracks is observed, therefore the circular shape of the cross-section slightly reduces the concentration defined by the material structure of high-strength concrete. On the basis of the conducted investigation on high-strength fiber reinforced concrete structures with circular sections, new experimental data on the combined stress-strain state in the studied areas of resistance is obtained, such as: values of generalized cracking, and failure, load, its level relative to the ultimate load; distance between the cracks at different stages of crack propagation; crack widths at principal reinforcement axis level, at a double diameter distance from the principal rebar axes and also along the entire crack profile at various stages of loading; coordinates of nonplanar crack formations; patterns of crack formation, development and opening in reinforced concrete structures under combined bending and torsion.

scholarly journals Optimization of reinforced concrete beams using Solver tool

2019 ◽  
Vol 12 (4) ◽  
pp. 910-931
Author(s):  
R. S. CORREIA ◽  
G. F. F. BONO ◽  
G. BONO
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Concrete Beams ◽  
Design Procedure ◽  
Optimization Techniques ◽  
Reinforced Concrete Beams ◽  
Technical Standards ◽  
Design Variables ◽  
The Cost ◽  
Brazilian Standard

Abstract Due to the development in structural analysis studies, optimization techniques have become part in the design of reinforced concrete structures. Making it possible to design structures with optimized cross-sections. Thus, the present study aims to implement optimization techniques, using the Solver tool, to design procedure of reinforced concrete beams following the precepts of Brazilian Standard ABNT NBR 6118:2014. Focusing to minimize the cost of reinforced concrete beams, where the design variables are the height and width of the beam cross-section and the constraints are imposed by the relevant technical standards and design variables limitations.

scholarly journals Influence of reinforcement's corrosion into hyperstatic reinforced concrete beams: a probabilistic failure scenarios analysis

2015 ◽  
Vol 8 (4) ◽  
pp. 479-490
Author(s):  
G. P. PELLIZZER ◽  
E. D. LEONEL ◽  
C. G. NOGUEIRA
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Failure Modes ◽  
Concrete Beams ◽  
Limit State ◽  
Simulation Method ◽  
Reinforced Concrete Beam ◽  
Reinforced Concrete Beams ◽  
Individual Probability ◽  
Failure Tree

AbstractThis work aims to study the mechanical effects of reinforcement's corrosion in hyperstatic reinforced concrete beams. The focus is the probabilistic determination of individual failure scenarios change as well as global failure change along time. The limit state functions assumed describe analytically bending and shear resistance of reinforced concrete rectangular cross sections as a function of steel and concrete resistance and section dimensions. It was incorporated empirical laws that penalize the steel yield stress and the reinforcement's area along time in addition to Fick's law, which models the chloride penetration into concrete pores. The reliability theory was applied based on Monte Carlo simulation method, which assesses each individual probability of failure. The probability of global structural failure was determined based in the concept of failure tree. The results of a hyperstatic reinforced concrete beam showed that reinforcements corrosion make change into the failure scenarios modes. Therefore, unimportant failure modes in design phase become important after corrosion start.

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