Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/sage/shear-capacity-distribution-of-reinforced-concrete-beams-an-I24dU6X8rU
References (64)
-
Xz Liu, Hehua Zhu, J. Ju, J. Ju, Qing Chen, Zheng-wu Jiang, Zhi-guo Yan (2020)
Investigation of the unbiased probabilistic behavior of the fiber-reinforced concrete's elastic moduli using stochastic micromechanical approachInternational Journal of Damage Mechanics, 29
-
Travis Anderson, C. Mattson (2012)
Propagating Skewness and Kurtosis Through Engineering Models for Low-Cost, Meaningful, Nondeterministic DesignJournal of Mechanical Design, 134
-
David Yang, J. Teng, D. Frangopol (2017)
Cross-entropy-based adaptive importance sampling for time-dependent reliability analysis of deteriorating structuresStructural Safety, 66
-
E. Jaynes (1957)
Information Theory and Statistical MechanicsPhysical Review, 106
-
Q. Wang (2006)
Probability distribution and entropy as a measure of uncertaintyJournal of Physics A: Mathematical and Theoretical, 41
-
C. Ning, Bing Li (2018)
Analytical probabilistic model for shear strength prediction of reinforced concrete beams without shear reinforcementAdvances in Structural Engineering, 21
-
Ángel Plastino, Mario Rocca, F. Pennini (2016)
Troublesome aspects of the Renyi-MaxEnt treatment.Physical review. E, 94 1-1
-
J. Kapur (1992)
Maximum-entropy models in science and engineering -
Jin Shin, Sang Kim (2006)
A Mathematical Theory of Communication -
X. Shi, Â. Teixeira, Jing Zhang, C. Soares (2014)
Structural reliability analysis based on probabilistic response modelling using the Maximum Entropy MethodEngineering Structures, 70
-
M. Nielsen, L. Hoang (2010)
Limit Analysis and Concrete Plasticity -
R. Lasota, R. Stocki, P. Tauzowski, T. Szolc (2015)
Polynomial chaos expansion method in estimating probability distribution of rotor-shaft dynamic responsesBulletin of The Polish Academy of Sciences-technical Sciences, 63
-
P. Desayi (1974)
A method for determining the shear strength of reinforced concrete beams with small av/d ratiosMagazine of Concrete Research, 26
-
J. Tame (2018)
Approaches to Entropy -
(1902)
Elementary Principles of Statistical Mechanics. New Haven, CT: Yale University PressDover -
Jiang Fan, Huming Liao, Hao Wang, Junheng Hu, Zhiying Chen, Jian Lu, Bo Li (2017)
Local maximum-entropy based surrogate model and its application to structural reliability analysisStructural and Multidisciplinary Optimization, 57
-
N. Burud, J. Kishen (2020)
Damage detection using wavelet entropy of acoustic emission waveforms in concrete under flexureStructural Health Monitoring, 20
-
J. Krejsa, M. Holicky, M. Sýkora (2014)
Uncertainty in Shear Resistance of Reinforced Concrete Beams With Stirrups – Comparison of EN 1992-1-1 and fib Mc 2010 ApproachesTransactions of the VŠB – Technical University of Ostrava, Civil Engineering Series., 14
-
H. Touchette (2014)
Equivalence and Nonequivalence of Ensembles: Thermodynamic, Macrostate, and Measure LevelsJournal of Statistical Physics, 159
-
S. Mirza, J. Macgregor (1982)
Probabilistic study of strength of reinforced concrete membersCanadian Journal of Civil Engineering, 9
-
W. Krefeld, C. Thurston (1966)
Studies of the Shear and Diagonal Tension Strength of Simply SupportedReinforced Concrete Beams, 63
-
S. Mirza, J. Macgregor (1979)
Statistical Study of Shear Strength of Reinforced Concrete Slender Beams -
B. Ellingwood, T. Galambos (1982)
Probability-based criteria for structural designStructural Safety, 1
-
Panatchai Chetchotisak, J. Teerawong, S. Yindeesuk, Junho Song (2014)
New strut-and-tie-models for shear strength prediction and design of RC deep beamsComputers and Concrete, 14
-
Adric Peccarelli, N. Ebrahimi, D. Ryu (2017)
A COMPARISON OF VARIANCE AND RENYI’S ENTROPY WITH APPLICATION TO MACHINE LEARNING -
Jung-Keun Oh, S. Shin (2001)
Shear Strength of Reinforced High-Strength Concrete Deep BeamsAci Structural Journal, 98
-
M. Sýkora, J. Krejsa, Jan Mlčoch, M. Prieto, P. Tanner (2018)
Uncertainty in shear resistance models of reinforced concrete beams according to fib MC2010Structural Concrete, 19
-
OF FUNCTIONAL -
H. Jensen, P. Tempesta (2018)
Group Entropies: From Phase Space Geometry to Entropy Functionals via Group TheoryEntropy, 20
-
Jianbin Guo, Jianyu Zhao, S. Zeng (2018)
Structural reliability analysis based on analytical maximum entropy method using polynomial chaos expansionStructural and Multidisciplinary Optimization, 58
-
Jordi Grau-Moya, M. Krüger, Daniel Braun (2017)
Non-Equilibrium Relations for Bounded Rational Decision-Making in Changing EnvironmentsEntropy, 20
-
T. Oikonomou, G. Bagci (2016)
Misusing the entropy maximization in the jungle of generalized entropiesarXiv: Statistical Mechanics
-
H. Kang, B. Kwak (2009)
Application of maximum entropy principle for reliability-based design optimizationStructural and Multidisciplinary Optimization, 38
-
J. Siddall, Y. Diab (1975)
The Use in Probabilistic Design of Probability Curves Generated by Maximizing the Shannon Entropy Function Constrained by MomentsJournal of Engineering for Industry, 97
-
Yogalakshmi Jayakumar, Balaji Kanchi (2019)
Probabilistic studies on mechanics‐based shear capacity models for reinforced concrete beams with stirrupsStructural Concrete, 21
-
G. Philippatos, Charles Wilson (1972)
Entropy, market risk, and the selection of efficient portfoliosApplied Economics, 4
-
J. Muñoz-Cobo, R. Mendizábal, A. Miquel, C. Berna, A. Escrivá (2017)
Use of the Principles of Maximum Entropy and Maximum Relative Entropy for the Determination of Uncertain Parameter Distributions in Engineering ApplicationsEntropy, 19
-
W. Zurek, W. Zurek (1999)
Algorithmic randomness, physical entropy, measurements, and the demon of choice -
A. Plastino, M. Rocca (2017)
Rescuing the MaxEnt treatment for q-generalized entropiesPhysica A-statistical Mechanics and Its Applications, 491
-
S. Chakraborty, R. Chowdhury (2015)
A semi-analytical framework for structural reliability analysisComputer Methods in Applied Mechanics and Engineering, 289
-
ffalourd (2020)
Reinforced and prestressed concrete -
A. Nowak, A. Yamani, S. Tabsh (1994)
Probabilistic Models for Resistance of Concrete Bridge GirdersAci Structural Journal, 91
-
U. Kumar, Vinod Kumar, J. Kapur (1986)
NORMALIZED MEASURES OF ENTROPYInternational Journal of General Systems, 12
-
Mehmet Çankaya, J. Korbel (2017)
Least informative distributions in maximum q-log-likelihood estimationPhysica A: Statistical Mechanics and its Applications
-
D. Samardzija (2007)
Some Analogies Between Thermodynamics and Shannon Theory2007 41st Annual Conference on Information Sciences and Systems
-
R. Jaskulski, P. Wilinski (2017)
Probabilistic Analysis of Shear Resistance Assured by Concrete CompressionProcedia Engineering, 172
-
A. Nowak, P. Paczkowski (2009)
Reliability Models for Shear in Reinforced Concrete BeamsSP-265: Thomas T.C. Hsu Symposium: Shear and Torsion in Concrete Structures
-
Qing Chen, Hehua Zhu, J. Ju, Zhi-guo Yan, Changhong Wang, Zheng-wu Jiang (2018)
A stochastic micromechanical model for fiber-reinforced concrete using maximum entropy principleActa Mechanica, 229
-
S. Thurner, R. Hanel (2009)
Generalized-generalized entropies and limit distributionsBrazilian Journal of Physics, 39
-
L. Todisco, K. Reineck, O. Bayrak (2015)
Database with Shear Tests on Non-Slender Reinforced Concrete Beams with Vertical StirrupsAci Structural Journal, 112
-
O. Turan, C. Higgins, D. Rosowsky (2008)
Statistical Modeling of Coupled Shear-Moment Resistance for RC Bridge GirdersJournal of Bridge Engineering, 13
-
Ángel Plastino, Mario Rocca, F. Pennini (2017)
Reply to "Comment on 'Troublesome aspects of the Renyi-MaxEnt treatment' ".Physical review. E, 96 5-2
-
Xin Liu, Xinyu Wang, Junlong Xie, Baotong Li (2019)
Construction of probability box model based on maximum entropy principle and corresponding hybrid reliability analysis approachStructural and Multidisciplinary Optimization, 61
-
Xufang Zhang, M. Pandey (2013)
Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction methodStructural Safety, 43
-
Debabrata jee, M. Ratnaparkhi (1986)
On the functional relationship between entropy and variance with related applicationsCommunications in Statistics-theory and Methods, 15
-
L. Pardo (2019)
New Developments in Statistical Information Theory Based on Entropy and Divergence MeasuresEntropy, 21
-
A. Mattock, Zuhua Wang (1984)
Shear Strength of Reinforced Concrete Members Subject to High Axial Compressive Stress, 81
-
(1987)
Variance, Entropy and Uncertainty Measure -
S. Somo, H. Hong (2006)
Modeling error analysis of shear predicting models for RC beamsStructural Safety, 28
-
M. Sýkora, M. Holicky, J. Krejsa (2013)
MODEL UNCERTAINTY FOR SHEAR RESISTANCE OF REINFORCED CONCRETE BEAMS WITH SHEAR REINFORCEMENT ACCORDING TO EN 1992-1-1, 13
-
Demetris Koutsoyiannis (2005)
Uncertainty, entropy, scaling and hydrological stochastics. 1. Marginal distributional properties of hydrological processes and state scaling / Incertitude, entropie, effet d'échelle et propriétés stochastiques hydrologiques. 1. Propriétés distributionnelles marginales des processus hydrologiques etHydrological Sciences Journal, 50
-
K. Reineck, E. Bentz, B. Fitik, D. Kuchma, O. Bayrak (2013)
ACI-DAfStb Database of Shear Tests on Slender Reinforced Concrete Beams without StirrupsAci Structural Journal, 110
-
N. Yogalakshmi, K. Rao (2019)
Probabilistic analysis of shear capacity of reinforced concrete beams with av/d < 2·5Magazine of Concrete Research
-
A. Marí, A. Cladera, J. Bairán, E. Oller, Carlos Ribas (2014)
Shear-flexural strength mechanical model for the design and assessment of reinforced concrete beams subjected to point or distributed loadsFrontiers of Structural and Civil Engineering, 8
- Publisher
- SAGE
- Copyright
- © The Author(s) 2021
- ISSN
- 1369-4332
- eISSN
- 2048-4011
- DOI
- 10.1177/13694332211029734
- Publisher site
- See Article on Publisher Site
Abstract
Using the concept of information theoretic entropy, the probability density function (pdf) of shear capacity of the reinforced concrete beam with stirrup reinforcement is determined. Entropy, expressed in terms of Shannon functional, is maximized subjected to the statistical moment and normalization constraints of pdf of shear capacity. The statistical moments of shear capacity distribution are obtained using second-order approximation of shear capacity equation. The pdf so determined has strong statistical mechanics interpretation of maximum entropy principle. Also, a procedure for goodness-of-fit test has been proposed, for the given data, using the information theoretic entropy as a measure of goodness-of-fit. In the present investigation, beams of three different ranges of shear span to effective depth ratios are considered. The mechanics-based shear capacity equations, presented earlier by authors along with associated modelling errors, are used for estimating the statistical moments of shear capacity distribution. The computationally efficient approach of determination of maximum entropy distribution presented in this article can be viewed as an alternate to the process of determination of pdf using brute force Monte Carlo simulation approach.
Journal
Advances in Structural Engineering – SAGE
Published: Nov 1, 2021