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Issue № 1 (41), 2019

 

 

 

 

 

 

 

 

 

 

 

ISSN 2542-0526

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

End of Table 2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

МPа

3

 

 

 

 

 

 

Microcracking limits

Deviation of

 

 

МPа

 

 

 

 

 

 

 

 

 

 

the calculation

 

days

ρ,kg/m

Ratio η0crc /

Empirical

 

 

 

 

 

 

 

,

,

 

 

 

 

 

 

 

 

 

 

values from

 

lc

cube,

ηvcrc

coefficients

 

lower

upper

 

 

 

ofAgeconcrete,

Prismaticdensityf

strengthCubic f

Calculaitondensity

actual

accepted

 

 

 

 

 

 

 

 

the empirical

 

 

 

c l

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ones, %

 

 

 

 

 

 

 

kc1

kcrc

 

η0crcоп

η0crcрасч

ηvcrcоп

ηvcrcрасч

Δη0crc

Δηvcrc

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LC

23.7/29.5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

14

19.34

26.67

 

0.646

0.6

1.15

0.69

 

0.488

 

0.52

0.755

0.77

−7.5

−2.6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

21

21.19

28.72

1850

0.650

0.6

1.15

0.69

 

0.501

 

0.55

0.771

0.80

−8.8

−3.2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

28

23.67

29.53

0.654

0.6

1.15

0.69

 

0.515

 

0.57

0.788

0.82

−10.8

−4.1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

60

24.69

31.04

 

0.673

0.6

1.15

0.69

 

0.535

 

0.58

0.795

0.83

−8.4

−4.4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LC

29.0/33.6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

14

21.37

24.60

 

0.741

0.6

1.15

0.69

 

0.65

 

0.55

0.874

0.80

15.6

8.8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

21

27.24

30.86

1850

0.746

0.6

1.15

0.69

 

0.63

 

0.60

0.849

0.85

4.8

−0.4

 

28

28.99

33.63

0.714

0.6

1.15

0.69

 

0.65

 

0.62

0.903

0.87

4.4

4.0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

60

29.86

34.07

 

0.717

0.6

1.15

0.69

 

0.64

 

0.62

0.895

0.87

2.9

2.4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Previously conducted studies [20]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LC 9.1/11.7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

28

9.1

11.7

1450

0.577

0.6

1.35

0.81

 

0.41

 

0.44

0.71

0.69

−7.4

2.8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LC

10.7/13.5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

28

10.7

13.5

1450

0.603

0.6

1.35

0.81

 

0.44

 

0.48

0.73

0.73

−9.9

−0.5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LC

11.2/14.2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

28

11.2

14.2

1450

0.603

0.6

1.35

0.81

 

0.44

 

0.50

0.73

0.75

−12.7

−2.2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LC

15.9/20.2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

28

15.9

20.2

1650

0.667

0.6

1.25

0.75

 

0.5

 

0.53

0.75

0.78

−6.9

−4.6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

LC

17.7/22.7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

28

17.7

22.7

1650

0.600

0.6

1.25

0.75

 

0.45

 

0.56

0.75

0.81

−24.7

−8.2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Mean

deviation ∑Δηcrc/n. %

 

 

 

 

 

−2.4

1.0

 

 

 

 

Mean deviation of the absolute value ∑|Δηcrc|/n. %

 

 

8.9

5.6

 

Conclusions

1.As a result of the study it was found that the density of claydite concrete has an effect on the limits of microcracking.

2.The dependencies for calculating the relative values of loads corresponding with the lower and upper limits of microcracking. The formulas (1), (2) can be applied for concrete of different compression classes as well as concrete of different types.

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Russian Journal of Building Construction and Architecture

3. The effect of the density of claydite concrete on the limits of microcracking is allowed for by the empirical coefficient kc1. The values of the coefficient are identified based on the calculated density of lightweight concrete accepted in accordance with the Eurocode 2.

References

1.Akhmedov A. I. Vliyanie mikrorazrushenii betona na ekspluatatsionnye kachestva stroitel'nykh konstruktsii. Avtoref. diss. kand. tekhn. nauk [The impact of concrete micro-destruction on the performance of building structures. Cand. eng. sci. diss.]. Moscow, 2006. 22 p.

2.Berg O. Ya. Fizicheskie osnovy teorii prochnosti betona i zhelezobetona [Physical foundations of the theory of strength of concrete and reinforced concrete]. Moscow, Gosstroiizdat Publ., 1962. 96 p.

3.Bobrov V. V. Metody otsenki vliyaniya razlichnykh faktorov na protsess mikrorazrushenii betona pod nagruzkoi. Avtoref. diss. kand. tekhn. nauk [Methods for assessing the impact of various factors on the process of micro-destruction of concrete under load. Cand. eng. sci. diss.]. Moscow, 2015. 26 p.

4.Bobrov V. V. Mikrorazrusheniya betona pri tsentral'nom szhatii [Micro-destruction of concrete under Central compression]. Arkhitektura i stroitel'stvo Rossii, 2009, no. 10, pp. 26—37.

5.Evrokod 2. Proektirovanie zhelezobetonnykh konstruktsii. Ch. 1-1. Obshchie pravila i pravila dlya zdanii: TKP EN 1992-1-1-2009: vved. 01.01.10 [Design of reinforced concrete structures. CH. 1-1. General rules and regulations for buildings: tap EN 1992-1-2009: introduced 01.01.10]. Minsk, Minstroiarkhitektury RB Publ., 2015. 206 p.

6.Zіnchenko S. V. Mіtsnіst' ta deformativnіst' konstruktsіi іz tsementno-zol'nogo keramzitobetonu. Avtoref. diss. kand. tekhn. nauk [Strength and deformability of structures made of cement-ash expanded clay. Cand. eng. sci. diss.]. Odessa, 2010. 21 p.

7.Istomin A. D., Belikov N. A. Zavisimost' granits mikrotreshchinoobrazovaniya betona ot ego prochnosti i napryazhennogo sostoyaniya [Dependence of the boundaries of concrete microfracturing on its strength and stress state]. Vestnik MGSU. Stroitel'stvo. Arkhitektura, 2011, no. 2—1, pp. 159—162.

8.Rekomendatsii po podboru sostavov, izgotovleniyu i primeneniyu modifitsirovannykh khimicheskimi i mineral'nymi dobavkami konstruktsionno-teploizolyatsionnogo i konstruktsionnogo keramzitobetonov [Recommendations for the selection of compositions, manufacture and use of modified chemical and mineral additives of structural and thermal insulation and structural expanded clay]. Minsk, 2013, 38 p.

9.Semenyuk S. D., Moskal'kova Yu. G. Prochnost' i deformativnost' izgibaemykh zhelezobetonnykh elementov, usilennykh narashchivaniem szhatoi zony, pri staticheskom i malotsiklovom nagruzheniyakh [Strength and deformability of the bent reinforced concrete elements strengthened by building up of the compressed zone at static and low-cycle loadings]. Mogilev, Belorus. — Ros. un-t, 2017. 274 p.

10.Bodnarova L., Hela R., Hubertova M., Novakova I. Behaviour of Lightweight Expanded Clay Aggregate Concrete Exposed to High Temperatures. Engineering and Technology International Journal of Civil and Environmental Engineering, 2014, vol. 8, no. 12, pp. 1210—1213.

11.Boma M. B., Brocato M. A continuum model of micro-cracks in concrete. Continuum Mechanics and Thermodynamics, 2010, vol. 22, no. 2, pp. 137—161. doi: 10.1007/s00161-009-0130-4.

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12.Byard B. E., Schindler Anton K. Cracking tendency of lightweight concrete. Submitted to The Expanded Shale, Clay, and Slate Institute. Research Report. Harbert Engineering Center Auburn University, 2010. 93 p.

13.Chandra S., Berntsson L. Lightweight aggregate concrete. Science, Technology, and Applications. New York, U. S. A., Noyes Publications; William Andrew Publishing, 2002. 407 р.

14.Clarke J. L. Structural Lightweight Aggregate Concrete. Glasgow, UK, Blackie Academic & Professional, 2005. 161 p.

15.Dehn F. Fracture mechanical behaviour of lightweight aggregate concrete. International Association of Fracture Mechanics for Concrete and Concrete Structures (IA-FraMCoS). Available at: http://framcos.org/ FraMCoS-5/Dehn.Fracture.pdf

16.Gunasekaran Mr. M., Saranya G., Elamaran L., e. a. Development of Light Weight Concrete by using Autoclaved Aerated Concrete. IJIRST — International Journal for Innovative Research in Science & Technology, 2016, vol. 2, no. 11, pp. 518—522.

17.Wang X. F., Fang C., Kuang W. Q., e. a. Experimental study on early cracking sensitivity of lightweight aggregate concrete. Construction and Building Materials, 2017, vol. 136, pp. 173—183.

18.Fenyvesi O. Affect of lightweight aggregate to early age cracking in concrete. Periodica Polytechnica. Civil Engineering, 2011, no. 55/1, pp. 63—71. doi: 10.3311/pp.ci.2011-1.08.

19.Lim C. C., Gowripalan N., Sirivivatnanon V. Microcracking and chloride permeability of concrete under uniaxial compression. Cement and Concrete Composites, 2000, vol. 22, no. 5, pp. 353—360.

20.Moskalkova Yu. Н. Behavior of claydite at the stage of microcrack formation. Наука та будівництво, 2017, no. 3 (13), pp. 40—43.

21.Tao Ji, Zhang Bin-bin, Chen Yong-bo, Zhuang Yi-zhou Evaluation method of cracking resistance of lightweight aggregate concrete. Journal of Central South University, 2014, vol. 21, no. 4, pp 1607—1615.

22.Tomičić I. Analysis of lightweight aggregate concrete beams. Građevinar, 2012, no. 64 (10), pp. 817—824.

23.Henkensiefken R., Castro J., Bentz D. e. a. Water absorption in internally cured mortar made with water-

filled lightweight aggregate. Cement and Concrete Research, 2009, vol. 39, no. 10, pp. 883—892. doi: 10.1016/j.cemconres.2009.06.009.

24. Yang Z., Weiss W. J., Olek J. Interaction between Micro-Cracking, Cracking, and Reduced Durability of Concrete: Developing Methods for Considering Cumulative Damage in Life-Cycle Modeling. Indiana, Purdue University, 2005. 265 p.

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Russian Journal of Building Construction and Architecture

TECHNOLOGY AND ORGANIZATION OF CONSTRUCTION

DOI 10.25987/VSTU.2018.41.1.007

UDC 624.05 : 004.9

E. A. Kopytina1, N. A. Petrikeeva2, S. G. Tul'skaya3, S. N. Kuznetsov4

APPLICATION OF THE GAME THEORY IN CONSTRUCTION ACTIVITY

Voronezh State University

Russia, Voronezht, tel.: +7-952-101-72-96, e-mail: zhemkaterina@yandex.ru 1PhD student of the Dept. of Information Technologies of Managemen Voronezh State Technical University

Russia, Voronezh

2PhD in Engineering, Assoc. Prof. of the Dept. of Heat and Gas Supply and Oil and Gas Business, tel.: (473)271-53-21, e-mail: petrikeeva.nat@yandex.ru

3PhD in Engineering, Assoc. Prof. of the Dept. of Heat and Gas Supply and Oil and Gas Business, tel.: +7-920-228-66-65, e-mail: tcdtnkfyf2014@yandex.ru

4D. Sc. in Engineering, Assoc. Prof., Prof. of the Dept. Of Heat and Gas Supply and Oil and Gas Business, tel.: (473)271-53-21

Statement of the problem. In construction production failure of one type of works can entail that of all other works and loss of a considerable amount of money. Therefore if there is a delay in a construction project, it is necessary to understand what kind of work (a performer) has led to that. The paper is devoted to a new approach to an optimal distribution of penalties in construction activity and application programming based on it. For modeling this situation the game theory is suggested.

Results. The developed module of the application allows one to calculate an optimal distribution of penalties for works which have led to failure of a project and to edit a project graph. The results obtained through the course of the work with the program can be used for further engineering calculations. Conclusions. When using the new approach to an optimal distribution of penalties in construction activity, the application on the basis of the game theory is developed. This application is improved by the interaction between the customer and the contractor that promotes a rational use of the money allocated for the implementation of a construction project.

Keywords: organization of construction, project management, penalty, software, algorithm, macroprogramming language.

Introduction. In modern society as there is an annual population growth and not enough construction objects, reconstruction and replanning are becomingly increasingly common.

© Kopytina Ye. А., Petrikeeva N. А., Тulskaya S. G., Kuznetsov S. N., 2019

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Issue № 1 (41), 2019

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Construction companies and designing enterprises oversee each of these stages. A delay in any of them might cause a delay in the others as well as a great loss of funds. Therefore if there happens to be a delay in a project, it is necessary to understand which component (contractor) contributed to that. For penalty distribution in modeling this scenario, a game theory can be employed.

Most of the research dealing with project management focuses on project delays. So, in [16] delayed project tasks involving taxation are discussed and certain regulations regarding fine distribution are set forth.

The authors [15, 17, 18] in some studies are suggesting some regulations for placing fines in delayed projects, but they contain a range of specific constraints and limitations, which put a certain restriction on how they are applied. These studies offer a theoretical approach to gaming that is present in the analysis of the main distribution problem.

In [1, 20] where delayed projects as well as quick-speed ones are looked at with their analysis on defining project gaming involving the task at hand and a nuclear as a solution specified in a joint distribution of fines.

In [3] random and non-decreasing functions of fines and incentives are discussed. As in [4— 6], this article analyzes delayed project tasks with a linear fine function. Unlike this one, project gaming involving project tasks is determined using taxation tasks. For that “payment capacity” following any delay affecting not only the delay itself but also the overall structure of a project as involving a series of tasks is evaluated.

1. Game theory and finding an optimal fine distribution. In order to improve the communication between the executor and the project manager, contractor and customer, a tool has to be designed that visualizes a construction project, i.e. actual, planned time and penalties imposed in case of delay.

For that an application for designing a graph of construction project works and optimal distribution of penalties among the executors [11].

The application has to be in compliance with the following requirements:

––optimal penalty distribution for delays;

––editing the graph of a construction project.

For implementing this, a so-called game theory including construction and assembly works is applied. The game theory is a section of mathematics where mathematical models of conflict decision-making, i.e. conflicts of interests where each party is seeking to have their say in an ongoing conflict [1, 13, 14].

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