The influence of the scale effect and high temperatures on the strength and strains of high performance concrete

666.972

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ȼɕɋɈɄɈɉɊɈɑɇɈȽɈ

ɆɈȾɂɎɂɐɂɊɈȼȺɇɇɈȽ

Ɉ

ȻȿɌɈɇȺ

ɉɪɢɜɟɞɟɧɵɪɟɡɭɥɶɬɚɬɵɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɢɫɫɥɟɞɨɜɚɧɢɣɜɥɢɹɧɢɹɦɚɫɲɬɚɛ -ɧɨɝɨɮɚɤɬɨɪɚ, ɤɪɚɬɤɨɜɪɟɦɟɧɧɨɝɨɢɞɥɢɬɟɥɶɧɨɝɨɧɚɝɪɟɜɚɞɨ 200 °ɋɧɚɬɟɦɩɟɪɚɬɭɪ -ɧɵɟ, ɭɫɚɞɨɱɧɵɟ ɞɟɮɨɪɦɚɰɢɢ, ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ ɩɪɨɱɧɨɫɬɧɵɯ ɢ ɞɟɮɨɪɦɚɰɢɨɧɧɵɯ ɫɜɨɣɫɬɜ ɩɪɢ ɫɠɚɬɢɢ ɢ ɪɚɫɬɹɠɟɧɢɢ ɜɵɫɨɤɨɩɪɨɱɧɨɝɨ ɦɨɞɢɮɢɰɢɪɨɜɚɧɧɨɝɨ ɛɟɬɨɧɚ ɤɥɚɫɫɚɩɨɩɪɨɱɧɨɫɬɢɋ70/85.

Ʉɥɸɱɟɜɵɟ ɫɥɨɜɚ: ɜɵɫɨɤɨɤɚɱɟɫɬɜɟɧɧɵɣ ɛɟɬɨɧ, ɞɟɮɨɪɦɚɰɢɢ, ɦɚɫɲɬɚɛɧɵɣ ɮɚɤɬɨɪ, ɩɪɨɱɧɨɫɬɶ, ɬɟɦɩɟɪɚɬɭɪɧɵɟ ɜɨɡɞɟɣɫɬɜɢɹ, ɭɫɚɞɤɚ, ɦɨɞɢɮɢɰɢɪɨɜɚɧɧɵɣ ɛɟɬɨɧ.

,

50/60… 90/105,

--

.

-

50/60,

.

(

High

Performance Concrete

)

--

.

—

,

-,

-.

,

:

,

,

-,

.

,

,

.

,

.

1.

Ɉɩɵɬɧɵɟ

ɨɛɪɚɡɰɵ

ɢ

ɦɟɬɨɞɢɤɚ

ɢɫɫɥɟɞɨɜɚɧɢɣ

-3

/20

14

[1],

-,

-

,

.

:

500,

Ɇ

= 1,1,

5...20

.

:

:

:

= 1 : 1,1 : 2,2

/ = 0,3

20 %

(

= 21

).

—

,

—

.

—

.

:

,

, . .

20

200



;

,

(

),

--

.

-150×150×600

.

—

100×100×400, 250×250×650 300×300×800

,

100

150

.

12…15



/ .



— 90, 150 200



,

—

-.

90, 150 200



15,

13 12 ,

[2].

90, 150 200



21, 30 40

,

-

-.

—

40…60

.

0,1

5-

24452—80 [3].

:

f

_c,prism

,

f

_ct

,

E

_c

,

-

_c1

-

_ct1

,

-

_el



.

--

2.

Ⱦɟɮɨɪɦɚɰɢɢ

ɭɫɚɞɤɢ

ɜ

ɭɫɥɨɜɢɹɯ

ɧɨɪɦɚɥɶɧɨɣ

ɬɟɦɩɟɪɚɬɭɪɵ

(20



),

-

-,

,

(

. 1)

—

.

T, сут

–

εcs

10

3

2 1

3

4(εcs1)

3₍εcs1)

1(εcs1)

4_(εcs2≈ εcs3)

3₍εcs2≈ εcs3)

2₍εcs2≈ εcs3)

1₍εcs2≈ εcs3)

2_(εcs1)

. 1.

-:

1…4 —

100×100×400

, 150×150×600

,

250×250×650

, 300×300×800

100×100×400

, 150×150×600

, 250×250×650 300×300×800

65, 80, 100 110

.

3.

ɏɚɪɚɤɬɟɪɢɫɬɢɤɢ

ɩɪɨɱɧɨɫɬɧɵɯ

ɢ

ɞɟɮɨɪɦɚɰɢɨɧɧɵɯ

ɫɜɨɣɫɬɜ

ɛɟɬɨɧɚ

3.1.

ɉɪɨɱɧɨɫɬɶ

ɩɪɢ

ɫɠɚɬɢɢ

ɢ

ɪɚɫɬɹɠɟɧɢɢ.

Ʉɭɛɢɤɨɜɚɹ

ɩɪɨɱɧɨɫɬɶ

f

_c,cube

100 150

[3].

7, 28 90

0,78 : 1 :

1,03.

100

150

10 15

,cube ,cube

c c

f

f

0,98.

ɉɪɢɡɦɟɧɧɚɹ

ɩɪɨɱɧɨɫɬɶ

f

_c,prism

,

100×100×400, 150×150×600 250×250×650

28

,

-,

, 56,2, 69,2 82,5

.

(

)

:

.

-

—

,

,

-.

ɉɪɨɱɧɨɫɬɶ

ɩɪɢ

ɨɫɟɜɨɦ

ɪɚɫɬɹɠɟɧɢɢ

f

_ct

,

-

100×100×400

90

,

,

, 3,5

,

0,06

3

/20

14

3.2.

Ⱦɢɚɝɪɚɦɦɵ

ɞɟɮɨɪɦɢɪɨɜɚɧɢɹ

ɢ

ɞɟɮɨɪɦɚɰɢɨɧɧɵɟ

ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ

ɛɟ

-ɬɨɧɚ

.

. 2,

a

.

,

-,



=

_c

/

f

_c

= (0,5…0,6).

(

)



≤

0,8 (

. 2,

ɛ

).

- = +20°C

- = +90°C

- = +150°C

- = +200°C

Условн. обозначен.:

2 1

3

σc1/fc σc1/fc

εc2103≈–εc3103 εc1103 –Θ⋅103

θ —

—

—

—

– – –

θ

θ

θ

ɚ

ɛ

. 2.

+200



-:

ɚ —

; b —  = _c1 + _c2 + _c3



_c1

= 2,5·10

–3

_.



_c2

≈



_c3

= 1,35·10

–3

_.

(3.14) [4]

-f

_c

,

E

_c

c1

k

≈

1,4.

.

0,8

f

_ct

.

,

,



_ct1

= 18·10

–5

_,

E

_ɫ

,

,

20 %

.

(3.14) [4]

k

≈

2/3.

0,3

f

_c,prism

-,

,



= 0,18.



,

,

4.

ȼɥɢɹɧɢɟ

ɩɨɜɵɲɟɧɧɵɯ

ɬɟɦɩɟɪɚɬɭɪ

ɧɚ

ɮɢɡɢɤɨ

-

ɦɟɯɚɧɢɱɟɫɤɢɟ

ɫɜɨɣɫɬɜɚ

ɛɟɬɨɧɚ

4.1.

ɉɪɨɱɧɨɫɬɶ

ɩɪɢ

ɫɠɚɬɢɢ

.

-,

[2],

90, 150 200



10, 2 4 % (

.

. 2,

ɚ

).

,

30/37

28, 18 25 % [2].

90, 150 200



95, 105 98 %

(

.

. 2,

a

).

,

,

,

—

.

4.2.

Ⱦɢɚɝɪɚɦɦɵ

ɞɟɮɨɪɦɢɪɨɜɚɧɢɹ

ɢ

ɞɟɮɨɪɦɚɰɢɨɧɧɵɟ

ɯɚɪɚɤɬɟɪɢɫɬɢɤɢ

ɛɟɬɨɧɚ

.

. 2,

a

.

,

-,

0,5

.

(

)

0,7

f

_c

(



).

90, 150

200



9, 17 34 %

(

.

. 2,

ɜ

).

12, 21 41 %

.

(

. 2,

ɛ

).

(0,5…0,6)

f

_c

(



).

ȿ

_ɫ

(



,

T

)

90, 150 200



21, 27 52 %

-.

ȿ

_ɫ

(



,

T

)

—

27, 42

58 %

,

—

25, 37

53 % —

.

-.

3

/20

14

5.

ɇɟɨɞɧɨɪɨɞɧɨɫɬɶ

ɩɪɨɱɧɨɫɬɧɵɯ

ɢ

ɞɟɮɨɪɦɚɰɢɨɧɧɵɯ

ɫɜɨɣɫɬɜ

ɛɟɬɨɧɚ

ɩɨ

ɨɛɴɟɦɭ

ɤɪɭɩɧɨɪɚɡɦɟɪɧɵɯ

ɷɥɟɦɟɧɬɨɜ

ɤɨɧɫɬɪɭɤɰɢɣ

-:

150×150×600

250

20 %,

—

17 %

;

100

19 %,

—

13 %

(

. 3).

|

_c

|,

0 10 20 30 40 50 60 70 80 90

0,0 0,5 1,0 1,5 2,0 2,5 3,0 3,5 4,0

1.1 11

12 13

14 15

16

17 18

19

21 24

27 27 28

29

100 100

100 100 100

100

250

300

250

) (

Z Y

X

)

5

3

1

4

2

–

ε

c

·10

3

Направление укладки

смеси

ɚ

ɛ

f

_c

(x, y, z)/f

_c

E

_c

(x, y, z)/E

_c



_c1

(x, y, z)/



_c1

Y,

ɜ

Y,

ɝ

Y,

ɞ

. 3.

(

ɚ

),

(

ɜ

),

(

ɝ

)

(

ɞ

)

(

ɛ

):

1, 2, 3 —

150×150×600 , 100×100×400 , 250×250×650 ; 4 5 —

-- № 11 25 . ɜ, ɝ, ɞ

-.

--

300×300×800

25 %,

—

16 %,

—

12 %

(

. 3,

ɜ

—

ɞ

).

-

,

,

.

,

-,

.

-.

f

_c

,

E



_c1

(

.

. 3)

,

[2].

/

.

6.

Ɋɟɤɨɦɟɧɞɚɰɢɢ

ɩɨ

ɨɩɪɟɞɟɥɟɧɢɸ

ɯɚɪɚɤɬɟɪɢɫɬɢɤ

ɮɢɡɢɤɨ

-

ɦɟɯɚɧɢɱɟɫɤɢɯ

ɫɜɨɣɫɬɜ

ɛɟɬɨɧɚ



_cs,u

(

M

₀

)



_cs

(

M

₀

)

-M

₀

(

. 4,

a

):

(

)

(

)

, 0 , 0

,

сs u

M

cs u cs

M

ε

= ε γ

(1)



_ɫs,u

—

150×150×600

(

M

₀

= 30

–1

_):

(

)

1 2 0

0

.

30

сs

M

M





γ

_{= }

_





(2)

M

₀

(1) (2)

.



_ɫ

(

M

₀

)

(

.

. 4,

ɛ

)

f

(



,

T

)

:

(

, ,

0

)

(

,

) (

0

)

,

с c c

3

/20

14

 

0

0

1,3 0,3

.

30

c

M

M











_

_





(4)



(



)

-:

 

0,19

0, 0004



20 .



  



  

(5)



_ɫ,M0

=



_cs

(

M

₀

)/



_cs

(

M

₀

= 30)



_ɫ,M0

= f

_c

(

M

₀

)/

f

_c

(

M

₀

= 30)

Ɇ

0

,

–1

ɚ

Ɇ

0

,

–1

ɛ

. 4.

(

ɚ

)

-

(

ɛ

):

, —

-; , — , ; , , × —

; 1 — (1)—(2); 2 — , (3)—(4)

ȼɵɜɨɞɵ

.

1.

,

.

--

100×100

, 150×150

250×250

1,25 : 1 : 0,88,

—

0,81 : 1 : 1,2.

1,6…1,8

-.

2.

,

,

(

10 %)

:

200



52 %,

34 %

-.

,

30 %

3.

.

4.



_cs

(

M

₀

)



_c

(

M

₀

),

(1)—(4).

Ȼɢɛɥɢɨɝɪɚɮɢɱɟɫɤɢɣ

ɫɩɢɫɨɤ

1.

Ʉɨɪɫɭɧ

Ⱥ

.

ȼ

.

+200 ° //

. 2007.

. 1(63). . 116—121.

2.

Ʉɨɪɫɭɧ

ȼ

.

ɂ

.

-

.

:

, 2003. 153 .

3.

24452—80.

.

,

. . :

-

, 1980.

4. CEN: Eurocode 2 (2004), Design of Concrete Structures: Part 1-1 General Rules and

Rules for Buildings, EN 1992-1-1:2004.

5.

Ʉɨɪɫɭɧ

ȼ

.

ɂ

.,

Ʉɚɥɦɵɤɨɜ

ɘ

.

ɘ

.

//

.

:

,

«

».

2002. . 2. . 95—102.

ɉɨɫɬɭɩɢɥɚ

ɜ

ɪɟɞɚɤɰɢɸ

ɜ

ɹɧɜɚɪɟ

2014

ɝ

.

:

Ʉɨɪɫɭɧ

ȼɥɚɞɢɦɢɪ

ɂɜɚɧɨɜɢɱ

—

,

-,

,

Ⱦɨɧɛɚɫɫɤɚɹ

ɧɚɰɢɨ

-ɧɚɥɶɧɚɹ

ɚɤɚɞɟɦɢɹ

ɫɬɪɨɢɬɟɥɶɫɬɜɚ

ɢ

ɚɪɯɢɬɟɤɬɭɪɵ

(

ȾɨɧɇȺɋȺ

)

, 86123,

,

., .

,

.

, . 2, korsun_vi@mail.ru;

Ʉɨɪɫɭɧ

Ⱥɪɬɟɦ

ȼɥɚɞɢɦɢɪɨɜɢɱ

—

,

-,

Ⱦɨɧɛɚɫɫɤɚɹ

ɧɚɰɢɨɧɚɥɶɧɚɹ

ɚɤɚɞɟɦɢɹ

ɫɬɪɨɢ

-ɬɟɥɶɫɬɜɚ

ɢ

ɚɪɯɢɬɟɤɬɭɪɵ

(

ȾɨɧɇȺɋȺ

)

, 86123,

,

., .

,

.

, . 2, snpccvs@mail.ru.

:

Ʉɨɪɫɭɧ

ȼ

.

ɂ

.,

Ʉɨɪɫɭɧ

Ⱥ

.

ȼ

.

//

. 2014.

№

3. . 179—188.

V.I. Korsun, A.V. Korsun

THE INFLUENCE OF THE SCALE EFFECT AND HIGH TEMPERATURES ON THE STRENGTH AND STRAINS OF HIGH PERFORMANCE CONCRETE

The most effective way to reduce the structure mass, labor input and expenses for its construction is to use modern high-performance concrete of the classes ɋ50/60… ɋ90/105, which possess high physical and mathematic characteristics. One of the con-straints for their implementation in mass construction in Ukraine is that in design stan-dards there are no experimental data on the physical and mathematic properties of con-crete of the classes more than ɋ50/60. Also there are no exact statements on calculating reinforced concrete structures made of high-performance concretes.

3

/20

14

strain, on strength and strain characteristics under compression and tensioning of high-strength modifi ed concrete of class C70/85.

The application of high performance concretes is challenging in the process of constructing buildings aimed at operating in high technological temperatures: smoke pipes, coolers, basins, nuclear power plants' protective shells, etc. Reducing cross-sections can lead to reducing temperature drops and thermal stresses in the structures. Key words: high performance concrete, deformations, scale effect, strength, ther-mal effects, shrinkage, modifi ed concrete.

References

1. Korsun A.V. Osobennosti deformirovaniya i razrusheniya vysokoprochnykh modifi t-sirovannykh betonov v usloviyakh nagreva do +200 ɋ [Features of Deformation and De-struction of High Performance Modifi ed Concretes in Case of Heating up to +200 ɋ]. Vestnik DonNASA [Proceedings of Donbas National Academy of Civil Engineering and Architecture]. 2007, no. 1(63), pp. 116—121.

2. Korsun V.I. Napryazhenno-deformirovannoe sostoyanie zhelezobetonnykh kon-struktsiy v usloviyakh temperaturnykh vozdeystviy [Stress and Strain State of Reinforced Concrete Structures under Thermal Impacts]. Makeevka, DonGASA Publ., 2003, 153 p.

3. GOST 24452—80. Betony. Metody opredeleniya prizmennoy prochnosti, modulya up-rugosti i koeffi tsienta Puassona [Russian State Standard 24452—80. Concretes. Methods of Defi ning Prism Strength, Elastic Module and Poisson's ratio]. Moscow, Izdatel'stvo standartov Publ., 1980.

4. CEN: Eurocode 2 (2004). Design of Concrete Structures: Part 1-1 General Rules and Rules for Buildings, EN 1992-1-1: 2004.

5. Korsun V.I., Kalmykov Yu.Yu. Neodnorodnost' prochnostnykh i deformatsionnykh svoystv betona po ob"emu massivnykh elementov konstruktsiy [Heterogeneity of Strength and Strain Properties of Concrete According to the Size of Massive Construction Elements].

Sovremennye problemy stroitel'stva [Current Problems in Construction]. Donetsk, Donetskiy PromstroyNIIproekt, OOO «Lebed'» Publ. 2002, vol. 2, pp. 95—102.

A b o u t t h e a u t h o r s : Korsun Vladimyr Ivanovych — Doctor of Technical Sciences, Professor, Head, Department of Reinforced Concrete Structures, Donbas National Acad-emy of Civil Engineering and Architecture (DonNASA), 2 Derzhavin str., Makeyevka, Do-netsk region, Ukraine, 86123; korsun_vi@mail.ru;

Korsun Artem Vladimirovych — Candidate of Technical Sciences, Associate Profes-sor, Department of Reinforced Concrete Structures, Donbas National Academy of Civil Engineering and Architecture (DonNASA), 2 Derzhavin str., Makeyevka, Donetsk region, Ukraine, 86123; snpccvs@mail.ru.