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INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING Volume 4, No 3, 2014 © Copyright by the authors - Licensee IPA- Under Creative Commons license 3.0 Research article ISSN 0976 – 4399 Received on September, 2013 Published on February 2014 353 Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint Tayade. K.C 1 , Deshpande. N.V 2 , Pofale. A.D 3 1- Doctoral research Student, Rastrasant Tukadoji Maharaj Nagpur University, Nagpur. 2- Guide, Principal Gurunanak Institute of Engineering and Technology, Nagpur. 3- Co-Guide, Professor, Civil engineering department, Visvesvaraya National Institute of Technology, Nagpur [email protected] doi: 10.6088/ijcser.201304010034 ABSTRACT Experimental study was carried out on a prototype structure to investigate the temperature rise characteristics of the concrete used. Two thermocouples each in 2 layers at four similar locations, totaling 16 numbers were embedded during the concreting of said structure to assess the characteristics of the temperature rise and temperature difference at peak in the concrete. The cement used was OPC in first layer and was replaced by PPC in other layer to find out the effect on the temperature rise and the temperature difference at peak. The study revealed that the temperature rise in concrete with PPC was much less than where OPC was used. The derived temperature rise equations with strong R 2 values could be used to predict the early age temperature rise in structures with similar geometry, weather conditions, curing and form removal. Another purpose of this study is to know the probability of cracking based on the existing cracking assessment based on Korean methods as Indian specifications are non-existent and also to find the crack index for internally restraint cases both the elastic; hypoelastic models. The study indicated that the existing provisions based on crack index appear to be very conservative which tend to overestimate the probability of crack occurrence compared with construction observations on prototype structures. Keywords: Heat of hydration, temperature gradient, crack, delayed ettringite formation, crack index, internal restraint. 1. Introduction In the massive concrete structures, like concrete Dams temperature gradients are produced when the heat generated in the concrete is dissipated to the surrounding environment causing temperature at the surface of the concrete to be lower from the temperature at the interior of the concrete. With the interior of the concrete being more mature than the surface, it acts as restraint against the contraction creating tensile stresses in concrete. Since the concrete is still in its early age, its full tensile strength is not developed and if the tensile stresses are larger than the early age tensile strength, cracking will occur, which would ultimately affect the integrity of concrete and undermine durability. To avoid concrete surface cracking caused by heat generated in the concrete, European standard ENV 206, 1992 suggests that the limit on the maximum temperature difference between the centre and the surface is 20 0 C (36 0 F).The exact magnitude of temperature gradient depends on a number of factors, including the initial concrete temperatures, the

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INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING

Volume 4, No 3, 2014

© Copyright by the authors - Licensee IPA- Under Creative Commons license 3.0

Research article ISSN 0976 – 4399

Received on September, 2013 Published on February 2014 353

Experimental study of temperature rise of concrete and assessment of

cracking due to internal restraint Tayade. K.C1, Deshpande. N.V2, Pofale. A.D3

1- Doctoral research Student, Rastrasant Tukadoji Maharaj Nagpur University, Nagpur.

2- Guide, Principal Gurunanak Institute of Engineering and Technology, Nagpur.

3- Co-Guide, Professor, Civil engineering department, Visvesvaraya National Institute of

Technology, Nagpur

[email protected]

doi: 10.6088/ijcser.201304010034

ABSTRACT

Experimental study was carried out on a prototype structure to investigate the temperature

rise characteristics of the concrete used. Two thermocouples each in 2 layers at four similar

locations, totaling 16 numbers were embedded during the concreting of said structure to

assess the characteristics of the temperature rise and temperature difference at peak in the

concrete. The cement used was OPC in first layer and was replaced by PPC in other layer to

find out the effect on the temperature rise and the temperature difference at peak. The study

revealed that the temperature rise in concrete with PPC was much less than where OPC was

used. The derived temperature rise equations with strong R2 values could be used to predict

the early age temperature rise in structures with similar geometry, weather conditions, curing

and form removal.

Another purpose of this study is to know the probability of cracking based on the existing

cracking assessment based on Korean methods as Indian specifications are non-existent and

also to find the crack index for internally restraint cases both the elastic; hypoelastic models.

The study indicated that the existing provisions based on crack index appear to be very

conservative which tend to overestimate the probability of crack occurrence compared with

construction observations on prototype structures.

Keywords: Heat of hydration, temperature gradient, crack, delayed ettringite formation,

crack index, internal restraint.

1. Introduction

In the massive concrete structures, like concrete Dams temperature gradients are produced

when the heat generated in the concrete is dissipated to the surrounding environment causing

temperature at the surface of the concrete to be lower from the temperature at the interior of

the concrete. With the interior of the concrete being more mature than the surface, it acts as

restraint against the contraction creating tensile stresses in concrete. Since the concrete is still

in its early age, its full tensile strength is not developed and if the tensile stresses are larger

than the early age tensile strength, cracking will occur, which would ultimately affect the

integrity of concrete and undermine durability.

To avoid concrete surface cracking caused by heat generated in the concrete, European

standard ENV 206, 1992 suggests that the limit on the maximum temperature difference

between the centre and the surface is 200 C (360 F).The exact magnitude of temperature

gradient depends on a number of factors, including the initial concrete temperatures, the

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 354

ambient temperature around the structure and the thermal properties of concrete itself. A

number of early-age concrete properties affect the thermal attributes of concrete, including

heat development, specific heat, thermal conductivity, thermal diffusivity, coefficient of

thermal expansion, emissivity, resultant strain gradients, temperature gradients, and the

chemistry of cement paste. The temperature profile of concrete element is further affected by

external factors such as environmental temperatures, wind speed, humidity etc. Use of

supplementary cementitious materials can dramatically reduce the amount of heat generated.

ACI 116.R, 2005 Manual of Concrete Practice defines Mass Concrete as “any volume of

concrete with dimensions large enough to require that measures be taken to cope with the

generation of heat from the hydration of cement and attendant volume change to minimize

cracking. Common thought is that mass concrete principles only apply to large dams, but they

apply to any large pour such as massive foundation, bridge piers, thick slabs, thick columns,

retaining walls etc. As per ACI 301.R, 2005, “Specifications for Structural Concrete” in

general, heat generation should be considered when minimum cross sectional dimensions

approaches or exceeds 760 mm or when cement contents above 356 Kg/m3 are used.

Like thermal induced cracking another effect of high temperatures in concrete is delayed

ettringite formation (DEF).Under high temperatures, the ettringite is destroyed and its

component sulfate and aluminate absorbed by the calcium-silicate-hydrate (C-S-H) in the

hydrated cement paste. After cooling, the sulfate is released and again becomes available to

form ettringite. Ettringite is an especially crystalline compound with a high aspect ratio that

can form long needle like crystals. Once nucleation has occurred ettringite crystals tend to

grow lengthwise and even when the tips of the crystal encounter solid material the growth

continues, resulting in high localized stresses that lead to expansion and cracking of hydrated

cement paste matrix. To avoid DEF in mass concrete, it is necessary to prevent the

temperature rise in the concrete from exceeding the threshold value at which ettringite

nucleation occurs. The exact temperature required for the formation of DEF is extensively

debated; but the majority of available research reports 700C (1580F) as the minimum

temperature necessary for the formation of DEF (Lawrence, 1998; Taylor, 1997; Gajda,

2007; Drimalas, 2004). However, there are specific conditions necessary for the initiation of

DEF. Even in the presence of high temperatures it only occurs within cements with large

amounts of sulfur trioxide (SO3), alkalies or magnesium oxide (Mgo) and in the presence of

moisture.

DEF is a form of internal sulfate attack which is a result of high heat of hydration coupled

with sulfates in the cement paste and a relatively high C3A content of the cement (Ghorab,

2002).

However, the literature shows that the factors most relevant to cracking in massive structures

are thermal stresses induced by thermal gradients. The components which are most likely to

contribute to large thermal gradients in mass concrete structures are

1. High internal heats of hydration caused by the concrete mix design

2. Mix designs which utilize too much cementitious material

3. The use of cement with high heats of hydration.

1.1 Research significance

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 355

A large amount of research has been carried out aimed at controlling and minimizing early

age cracks in concrete. The heat of hydration of concrete has been one of the most important

issues investigated. There are many criteria for assessment of the hydration heat induced

cracks. Some provisions adopt temperature based assessment as well as stress based

assessment. Temperatures can be readily assessed by field measurements as well as analysis

and the reliability of temperature measurement is significantly higher than that of stress

measurements. Consequently, temperature based assessment has been frequently employed in

practice to approximately decide the probability of occurrence of cracks based on the

temperature difference. The purpose of this study is to know the probability of cracking based

on the existing cracking assessment based on Korean methods and also on the crack index for

internally restraint cases both the elastic; hypoelastic models and practical consideration

developed by Jeon, 2008 and reported in ACI materials journal .

The temperatures recorded are the temperatures wherein the effects of exothermic reaction of

hydration of cement and all the atmospheric effects such as radiation; convection, conduction

so also the thermal properties of concrete have played their role and resultant is the

temperatures actually measured. Hence, this study can be used to compare and validate the

results of thermal analysis and modeling that can predict the temperature distribution and the

thermal stresses resulting from thermal gradients within the structure.

1.2 Literature review

ACI Committee 207.1R, 2005 and RILEM Tech. Committee 219 give useful guidance in

respect of thermal control plan and cracking in mass concrete.

ACI Committee 224.R, 2001contains recommendations regarding crack control in mass

concrete.

As per Mehta and Monterio, 1999, temperature differential induced tensile stresses cause

concrete cracks when they exceed the inherent tensile strength of concrete.

Panarese, 2003 postulated that when dimensions of concrete structures are more than 1 m,

temperature rise shall be considered.

Kelly has stated that cement hydration is a very exothermic process, leading to rise in

temperatures at the core of very large pours.

Gajda, 2003 has mentioned that most codes state a temperature differential of less than 200 C

(360 F) from surface to the core of the section.

European standard ENV 206, 1992 specify a temperature gradient less than 200 C.

Neville, 1996 states that cracking will occur when the temperature differential exceeds 200 C

between interior and exterior portion of concrete i.e. surface to the core of the section.

Use of cements high in tri calcium silicate (C3S) and/or tri calcium aluminates (C3A) will

lead to large temperature differentials as these compounds are responsible for the majority of

early heat development. It can also be intensified by cements with higher fineness, resulting

in faster reaction due to increased surface area (Price, 1974; Poole, 2004; Neville, 1996;

Larsen, 1991; Higginson, 1970).

1.3 Review of provisions regarding cracking assessment

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 356

In the US the ACI guides ACI 207.2R, 2007 and ACI 305.R do not provide any specific

criteria for cracking induced by the heat of hydration.

In Europe CEB–FIB Model Code, 1993 and Lykke S. et al, 2000 gave crack risk criteria and

various temperature difference criteria have been employed together in some large projects

such as Oresund tunnel.

Standard specification as per Korea Concrete Institute, 2003 and Japan Concrete Institute,

1986 adopt the crack index based on the splitting tensile strength of concrete and the tensile

strength all of which are time dependant and can be obtained by thermal stress analysis. The

Korean specifications as per Korea Concrete Institute, 2003 however present simplified form

of crack index as a function of temperature and for internally restrained case given by the

equation,

Icr = 15 -- equation (1)

∆Ti

Where ∆Ti = maximum temperature difference across the section o C

Based on crack index, the crack probability relationship is as shown in Figure 1; which can

be used to assess the cracking index and cracking criteria as shown in Figure 2.

Probability of cracking as function of crack index

0

10

20

30

40

50

60

70

80

90

100

0 0.5 1 1.5 2Crack Index Icr

Pro

ba

bil

ity

of

cra

ck o

ccu

ran

ce %

Figure 1: Crack probability relationship Figure 2: Cracking Criteria

The temperature difference across the section is the primary information required for the

evaluation of the tendency of crack to form induced by the internal restraint. equation (1)

As derived and reported by Jeon,S.J. in ACI materials Journal, 2008 the crack index for

internally restraint cases for elastic model is given by the equation,

Icr(e) = 15.4 / ∆Ti - - equation (2)

and this equation is valid near the peak temperatures when the maximum temperature

difference occurs within 3 days after placing. Since elastic crack index depends only on the

maximum temperature difference only and does not take into account the development of

heat hydration, the member size, curing conditions, the form removal, the hardening

properties of concrete etc. a hypoelastic model is also developed by Jeon, 2008 and is given

by the equation,

The following criteria could be specified:

Criteria Icr Value

to prevent cracks Icr > 1.5

to limit cracks 1.2 > Icr < 1.5

to limit harmful cracks 0.7 > Icr < 1.2

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 357

Icr(h) = 25 / ∆Ti -- equation (3)

2. The experimental program and scheme of study

The experimental program in the study was to measure and monitor the temperature rise in

concrete prototype structure. The temperature measurements was done by inserting an array

of thermo couples at different locations and levels.. The thermo couples used were PT100.

The positions of thermo couples is as shown in Figure 3.

The structure geometry and the four locations of thermo couples are as per Figure 3 & 4

respectively.

Figure 3: C/s of Retaining wall Figure 4: Location Plan

The Figure 5 shows the actual photo of structure with the projected locations of thermo

couples and also the photograph of the thermo couples being embedded in concrete.

Figure 5: Actual photo of structure with the projected locations

The scheme of study is to insert the thermo couples at four locations in structure namely

location 1 to location 4. All the locations the structure is having same geometry and cross-

section. At a particular location, in cross section total four thermo couples are embedded two

in each layer. In the first layer (Bottom layer) OPC was used and two thermo couples in the

middle of layer at positions namely (B) and (C) were inserted. In the second layer which was

laid above the first layer, PPC was used and again two thermo couples in the middle of layer

at positions namely (D) & (E) were inserted. The thickness of each layer was 1.00 m. All the

thermo couples were inserted 0.80m from face of concrete inside the concrete structure, so

that the effect of surface cooling is minimized. The thermo couple designated as (A) was used

to measure the ambient temperature and was kept outside the structure. There was a gap of

about 8 days between the first and second layer concreting. The scheme of study was as per

Table 1 below

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 358

Table 1: Table showing the scheme of study

Total locations – I, II, III, IV

At each of the locations

Layer Thickness Cement Thermocouples( Tc) inserted

First 1.00m OPC (B) & (C) in middle of layer

Second 1.00m PPC (D) & (E) in middle of layer

The formwork used was of steel shuttering and it was removed after 3 days.

The test results for cements are as per Table 2.

Table 2: Table showing the test results for cements

Property OPC PPC

Type OPC 43 Grade PPC PPC

W-M-Y 38-09-10 41-10-10 42-10-10

Fineness(cm2/gm) 2790 -- 3405

Normal consistency(%) 30.0 31.0 31.5

Soundness(Autoclave) 0.025 0.018 0.038

Setting time

Initial

Final

175

285

200

315

120

395

Strength

3days

7days

28days

247

345

439

208

254

358

168

232

390

The mix proportion for the concrete Grade M-15(40MSA) adopted was as per Table 3.

Table 3: Table showing the mix proportion for the concrete Grade M-15(40MSA)

Cement ( Kg.) Water ( Kg.) Sand ( Kg.) Coarse aggregate( Kg.) Plasticiser (ml)

40mm 20mm 10mm

298 168 655 545 408 408 1200

The F.M. of sand was 2.72, which is categorized as Zone-II sand as per IS 383. The

monitoring of temperature recorded by thermocouples was done by digital recorder manually

on hourly basis up to 7 days and then once in 2 hrs up to 14 days and then increased to 3 hrs

up to 28 days. The graphs (Figure 8 to Figure 11) below represents the plots of time vs.

temperatures actually recorded for some thermo couples.

Figure 8: Graph-1 Figure 9: Graph -2

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 359

Figure 10: Graph -3 Figure 11: Graph -4

The derived equations for the time–temperature record as shown in graphs above, are as

tabulated in Tables 4 and 5.

Table 4: Table showing the derived equations for different locations of Thermo couples for

28 Days (672 hrs) and 0 to 36 hrs. in Concrete layer with OPC.

Sr.

No

Locati

on

Thermocou

ple

Period(h

rs) Derived equation

R2

Value

1 I

Tc (B) 0 to 672

y = 4E-09x5 - 2E-06x4 + 0.000x3 - 0.038x2

+1.535x + 30.17 0.981

0 to 36 y = 0.000x3 - 0.045x2 + 1.820x + 28.65 0.992

Tc (C ) 0 to 672 Malfunctioned

0 to 36 Malfunctioned

2 II

Tc (B) 0 to 672

y = 1E-11x5 - 2E-08x4 + 9E-06x3 - 0.001x2 +

0.059x + 44.82 0.723

0 to 36 y = -0.001x3 + 1E-05x2 + 1.460x + 28.56 0.979

Tc (C ) 0 to 672

y = 1E-11x5 - 2E-08x4 + 1E-05x3 - 0.002x2 +

0.144x + 43.03 0.804

0 to 36 y = -0.000x3 - 0.016x2 + 1.492x + 29.54 0.982

3 III

Tc (B) 0 to 672

y = 2E-13x5 + 2E-10x4 - 3E-07x3 + 0.000x2 -

0.075x + 46.90 0.849

0 to 36 y = -0.000x3 - 0.016x2 + 1.704x + 28.90 0.977

Tc (C ) 0 to 672

y = 3E-12x5 - 5E-09x4 + 4E-06x3 - 0.001x2 +

0.072x + 42.91 0.904

0 to 36 y = -0.001x3 + 0.010x2 + 1.172x + 29.36 0.98

4 IV

Tc (B) 0 to 672

y = -1E-11x5 + 2E-08x4 - 7E-06x3 + 0.001x2 +

0.002x + 48.67 0.716

0 to 36 y = -0.005x3 + 0.203x2 - 0.587x + 36.24 0.927

Tc (C ) 0 to 672 Malfunctioned

0 to 36 Malfunctioned

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 360

Table 5: Table showing the derived equations for different locations of Thermo couples for

28 Days (672 hrs) and 0 to 36 hrs. in Concrete layer with PPC.

Sr.

No

Locati

on

Thermoco

uple

Period(h

rs) Derived equation

R2

Value

1 I

Tc (D) 0 to 672

y = -1E-12x5 + 8E-10x4 + 3E-07x3 - 0.000x2 +

0.082x + 39.33 0.907

0 to 36 y = 0.000x3 - 0.038x2 + 1.071x + 34.04 0.982

Tc (E ) 0 to 672

y = -1E-12x5 + 8E-10x4 + 3E-07x3 - 0.000x2 +

0.082x + 39.33 0.907

0 to 36 y = 0.000x3 - 0.033x2 + 0.980x + 33.94 0.992

2 II

Tc (D) 0 to 672 Malfunctioned

0 to 36 Malfunctioned

Tc (E ) 0 to 672

y = 9E-13x5 - 1E-09x4 + 9E-07x3 - 0.000x2 +

0.042x + 37.79 0.814

0 to 36 y = 0.000x3 - 0.050x2 + 1.132x + 32.44 0.959

3 III

Tc (D) 0 to 672

y = -3E-12x5 + 6E-09x4 - 3E-06x3 + 0.000x2 -

0.052x + 42.05 0.711

0 to 36 y = 0.001x3 - 0.089x2 + 1.362x + 36.35 0.99

Tc (E ) 0 to 672 Malfunctioned

0 to 36 Malfunctioned

4 IV

Tc (D) 0 to 672 Malfunctioned

0 to 36 Malfunctioned

Tc (E ) 0 to 672 Malfunctioned

0 to 36 Malfunctioned

The Table 6 and 7 shows the maximum (peak) temperatures recorded by thermo couples, the

period to reach the maximum (peak) temperature, the ambient temperatures at that time.

Table 6: Table showing the details of temperature recorded by Thermocouples in concrete

layer with OPC

Thermo Couple B C

Location I II III IV I II III IV

Max.Temp. Recorded.(Tmx) 51.5 50.6 50.8 59.9 -- 50.2 48.9 --

Period to reach Max. emp.(Hrs) 30.5 29.5 24.5 20 -- 35.5 29.5 --

Ambient Temp (Tam) 25 32.8 25 27.9 -- 19.9 21.8 --

Diff.of Temp.at peak ∆ Tp = (Tmx–Tam) 26.5 17.8 25.8 32 -- 30.3 27.1 --

Table 7: Table showing the details of temperature recorded by Thermocouples in concrete

layer with PPC

Thermo Couple D E

Location I II III IV I II III IV

Max.Temp. Recorded.(Tmx) 43.8 -- 48.9 -- 43.3 41.1 -- --

Period to reach Max. temp.(Hrs) 26 -- 29.5 -- 25 30 -- --

Ambient Temp (Tam) 28.3 -- 28.2 -- 29.2 25.4 -- --

Diff.of Temp.at peak ∆ Tp = (Tmx–Tam ) 15.5 -- 20.7 -- 14.1 15.7 --- ---

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 361

Having known the peak temperatures, the difference between peak temperatures and the

ambient temperatures at that time, designated as (∆Tp) was calculated. Applying this

temperature difference (∆Tp) the crack index as per equation (1) (2) and (3) were computed

as tabulated in table 8 and 9. The probability of crack occurrence was worked out from graph

given in Figure 1.

Table 8: Table showing the Crack index for ∆Tp in concrete layer with OPC

Thermo Couple B C

Location I II III IV I II III IV

Diff.of Temp.at peak ∆ Tp = (Tmx–Tam) 26.5 17.8 25.8 32 -- 30.3 27.1 --

Crack Index - - korean spcs. ICR(K) /15/∆ Tp 0.57 0.84 0.58 0.47 -- 0.49 0.55 --

Probability of crack occurance.% 92 75 90 96 -- 95 93 --

Crack Index - - elastic analysis ICR(e)=

15.4/∆ Tp 0.58 0.87 0.60 0.48 -- 0.51 0.57 --

Probability of crack occurance.% 90 72 87 96 -- 94 92 --

Crack Index - - Hypoelstic analysis.ICR(h)=

25/∆ Tp 0.94 1.40 0.97 0.78 -- 0.83 0.92 --

Probability of crack occurance.% 55 8 51 79 -- 73 56 --

Table 9: Table showing the Crack index for ∆Tp in concrete layer with PPC

Thermo Couple D E

Location I II III IV I II III IV

Diff.of Temp.at peak ∆ Tp = (Tmx–Tam) 15.5 -- 20.7 -- 14.1 15.7 -- --

Crack Index as per korean spcs. ICR(k)= 15/∆ Tp 0.97 -- 0.72 -- 1.06 0.96 -- --

Probability of crack occurance.% 53 -- 80 -- 49 54 -- --

Crack Index as per elastic analysis ICR(e)=

15.4/∆ Tp 0.99 -- 0.74 -- 1.09 0.98 -- --

Probability of crack occurance.% 51 -- 79 38 52 -- --

Crack Index as per Hypoelstic analysis.ICR(h)=

25/∆ Tp 1.61 -- 1.21 -- 1.77 1.59 -- --

Probability of crack occurance.% 4 -- 22 -- 2 5 -- --

3. Experimental observations and discussions

The equations tabulated in Tables 4 and 5, could be used to predict the temperature rise for

structures with similar geometry, cement contents, mix proportions, ambient temperature

conditions, curing conditions etc. The temperature rise in concrete where PPC is used is much

less than where OPC is used.

The temperature rise could be used to assess the thermal gradients and the effects such as

cracking index and the tensile stresses when the internal restraint is dominant specially in the

early ages say up to 3 days. As can be seen the peak temperatures are reached well within 3

days, and the temperatures were getting stabilized in 28 days with the rate of cooling being

very low.

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 362

From the derived equations for the actual temperature rise it could be seen that for the first 36

hrs. the coefficient of correlation ( R2) is in the range of 0.927- 0.992 which is a strong

correlation which will give a good level of accuracy in predicting the temperatures albeit for

the same structure geometry and other parameters. For 28 days the (R2) values are in the

range of 0.711 – 0.981 but the use and significance of these equations diminishes as the

concrete is cooling with slow rates, and peak temperatures being achieved within 3 days.

The maximum temperatures recorded in concrete with OPC were in the range of 500C -600C

and that in concrete with PPC were in the range 400C -500C, hence, even if it is assumed that

all favorable conditions i.e. moisture, SO3 and Mgo exists for DEF to form, the lack of

threshold temperatures necessary for ettringite nucleation not being reached, it can be very

well said that DEF is absent in concrete of the structure studied.

Based on the temperature difference (∆T) the crack index as per the Korean formula gives a

high crack probability and hence this equation is too conservative and gives high risk of

cracking occurrence. The elastic model crack index is also very much similar to the crack

index as per Korean formula. The practical formula of crack index based on hypoelastic

model gives better assessment of the probability of crack occurrence. For example for a

temperature difference of 200C the elastic and hypoelastic model gives a crack index as 0.77

& 1.25 and accordingly this falls into the category of limiting harmful cracks under elastic

model whereas the hypoelastic model indicates that it falls into category of limiting the

cracks. The effect of these different results on the overall construction scheme and its

economics could be significant.

4. Conclusion

The derived temperature rise equations with strong R2 values could be used to predict the

early age temperature rise in structures with similar geometry, weather conditions, curing and

form removal. Significant reduction in temperature rise and maximum temperature rise of

PPC concrete is demonstrated in the experimental study. This indicates that the use of PPC or

fly ash in concrete pours can be beneficial in minimizing the mass overheating and

subsequent concrete cracking. The actual measured maximum temperatures are well below

the threshold temperatures of 70oC necessary for nucleation of DEF and hence it can be

concluded that the chances of DEF in concrete of the structure studied are remote. The

temperature based assessment of cracking which is based on crack index is a good and handy

tool to assess the probability of cracking. However, it should be used with caution and

restraint since it is too conservative. In the present study even though the probability of crack

occurrence in OPC layer is more than 50%, actually no cracks were observed, this could be

due to the use of temperature(skin) reinforcement in the structure. The more realistic

equation of crack index based on hypoelastic model can be used which nearly matches with

the existing limiting temperature difference namely 150C - 200C for the elimination of

cracking that has been adopted the world over.

List of symbols and abbreviations

Icr - Crack Index;

Icr(e) - Crack index as per elastic analysis.

Icr(h) - Crack index as per hypoelastic analysis.

Tc( n) - Thermocouple at position n;

Experimental study of temperature rise of concrete and assessment of cracking due to internal restraint

Tayade. K.C, Deshpande. N.V, Pofale. A.D

International Journal of Civil and Structural Engineering

Volume 4 Issue 3 2014 363

Tam - Ambient Temperature.

∆Tp - Difference of temperature at peak;

∆T – Max. temperature difference across a section.

Tmx – Max. temperature recorded (Peak Temperature)

OPC - Ordinary Portland cement conforming to IS 8112.

PPC - Portland pozzolona cement conforming to IS 1489, Part(I)

w-m-y - week-month-year of production of cement.

5 References

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