Chapter 7 : Concrete mix design

 

Introduction:

 

Portland cement concrete is a composite material in which the cement and water forms a paste or glue, which bends the coarse and fine aggregates. The quality of the formed concrete depends on the properties of the ingredients and how well they fit together.

 

When mix designing concrete one should talk in consideration finding the optimum well-designed and proportioned mixture that also should be sufficiently workable to enable transport, handling, placing and finishing. Ideally, the mixture should be economical will satisfy the terms of properties of the final hardened concrete and will make effective use of locally available materials.

 

Mix Design is the process of determining required characteristics of the concrete mixture. That includes permissible or desirable aggregate size, workability, required strength or other mechanical properties, durability requirements, governing water-cementitious materials ratio and the determination of permitted or excluded ingredients. Then the mixture is proportioned, determining the appropriate quantities of all the ingredients making adjustments to compensate for local materials while achieving the specified characteristics of the concrete. The mix proportions are similar to the "shop drawings" in the design of steel while the mix design develops the concrete specifications.

 

Strength is the most important performance requirement and measured at 28 days, the yield strength should exceed the specified value by and amount that is unique to each concrete producer depending on the Q/C measures which reflects of the standard deviation of the 28 days strength test results in the batch plant.

 

The compressive strength that the concrete should be designed for should take in consideration a safety factor that covers the fact that 28-days compressive strength may vary in the same mix due to changes in materials, changes in mixing and weighing or the way it is handled at the site.

 

After strength, workability expressed as "slump" is the most common specification requirement. Normally imposed as a maximum value. But the slump-workability relation is not solid and only makes sense some of the time. It varies from being clearly established to non-existing.

 

Constant slump can be achieved batch after batch only when all of the input materials remains the same, mixing time and speeds too also when the slump is measured at the same time relative to the batching.

 

When resistance to the effect of the freezing and thawing of the absorbed water is required, the hardened concrete needs a system of internal air voids with an appropriate total volume, distribution of sizes and spaces between voids.

 

The freezing and thawing resistance can be specified by simply requiring a specific total air content in the fresh concrete. so that when the concrete hardens, it will contain millions of microscopic air cells which will relieve the internal pressure on the concrete by providing tiny chambers for the expansion of the water when it freezes. All mixed fresh concrete got air entrained but if the air content is lower than the specs required for freeze resistance, the use of air entrained admixtures is required.

 

We can control the porosity and permeability of the cement paste by limiting the w/c ratio of the paste that means the less w/c the less paste there is, the thicker the past or glue is the less voids content left from hydration the less the permeability. Achieving durability is much harder than other mechanical requirements on the long run.

 

If the determined amount of air content is not sufficient the decision of using air entraining admixtures should be taken with respect to the conditions the concrete we are designing will be exposed to.

 

But the increase of the air content will decrease the strength of the concrete and increase the workability. At the same time the decrease in the w/c ratio to decrease porosity will increase the strength.. the design must balance all these factors to produce durable thus still workable concrete.

 

The quality of the cement paste is described by the w/c ratio. the higher the w/c the more dilute the glue holding the aggregate. The lower the w/c the  more concentrated the glue, which also means the greater it's strength because of the low porosity and higher density.

 

Although using a low w/c will enhance the mechanical properties such as the compressive strength, tensile strength, modulus of elasticity and the durability of the hardened concrete. It will also decrease the concrete workability that must be taken into consideration when mix designing the concrete.

 

Specific gravity (SG) is the  weight of a material divided by the weight of an equal volume of water. That is if a material has a SG of 2.5 , that means that it will be 2 1/2 times heavier than water.

SG water    = 1.0

SG cement = 3.15

 

Each material consists of solids and pores. and these pores could contain water and the  materials weight  will vary depending on the amount of water in the pores. That is why the SG is always measured at a fixed moisture content.

 

Absolute volume : specific gravity of an aggregate doesn't measure the quality of that aggregate but is a helpful tool in determining the absolute volume that a given weight of an aggregate will occupy in the mix the term Absolute Volume refers to the space occupied by the  aggregates particles including the internal pores but not including the voids between those particles.

 

Absolute Volume = weight / absolute unit weight

 

Absolute unit weight= SG (dry)* unit weight of water     (1000 Kg/m3)

 

if the SG of aggregates changes for the same batch that means a decrease or increase in the yield  or volume of concrete and if batch proportion remain constant will result in too much or too little concrete. Meaning changes in volume and weigh of the m³.

 

Unit weight : the weight per unit volume of the compacted agg. a high unit weight means better grading and better packing and also means that more quantities can be used without effecting the workability.


Concrete mix design

 

ACI Absolute volume Method

 

Step (1)

Set design requirements

 

The following information must be provided:

-         Required compressive strength at 28 days.

-         Required slump.

-         Exposure conditions.

-         Maximum size of coarse aggregates to be used.

 

Step (2)

Test the aggregate

 

The following lab results should be obtained:

-         Specific gravity of coarse and fine aggregates.

-         Absorption of coarse and fine aggregates.

-         Moisture content of coarse and fine aggregates.

-         Rodded oven dry unit weight of coarse aggregate.

-         Fineness modulus of the fine aggregate.

-         Grading of the available fine and coarse aggregates.

 

Step (3)

The recommended slump

 

If the required slump is not specified, use the following table:

 

Recommended slumps for various types of construction

Type of construction

Max.

Slump

(mm)

Min

Slump

(mm)

Reinforced foundation walls and footings

75

25

Plain footings caissons and substructure

75

25

Beams and reinforced walls

100

25

Building columns

100

25

Pavements and slabs

75

25

Mass concrete

75

25

 

 

 

 

 

 

 

 

 

 

 

 

Step (4)

The design compressive strength

 

 

The design compressive strength

                 = specified compressive strength +  S.D*k

                       =  f ’c = f c + S.D*k

Determining the design compressive strength:

 

 1  Compute the standard deviation from the patch plant records of the compressive strength at 28 days. At least 30 test result must be available.

 

The slandered deviation for any concrete producer is:

                                      _

S.D= √   ∑ (Xn-Xavg)²    

                N-1

 

 

Where :

Xavg =   (∑Xn)/n

Xn is a single result

∑X is the sum of the results

N is the number of the results

if the available test results  are less than 30 but not less than 15 , the computed standard deviation should be modified:

S.Dnew=S.D*K

 

Number of test

K

15

1.16

20

1.08

25

1.03

 30 or more

1

 

If  test results are less than 15 then use the following table to determine the standard deviation

 

f c

    Specified strength

f 'c

Design strength

     Less than 21 N/mm2

F c + 7

   21 - 35 N/mm2

F c +8.5

     35 N/mm2 or more

F c +10

 

As the data becomes available during construction the standard deviation is recalculated using the formulas.

 

 2  Compute the design compressive strength (f’c)

 

The design compressive strength is the larger of the two following equations:

 

F 'c = f c + (2.33 * SD) -3.5

F 'c = f c + 1.34*SD

 

Step (5)

The mixing water

 

Use the next table to determine the amount of water needed to achieve the required slump:

 

Non-air entrained concrete

Approximate mixing water (Kg/m3) for indicated   nominal size of aggregate

Max. size

(mm)

Slump (mm)

25-50

75-100

150-175

>175

9.5

207

228

243

N/A

12.5

199

216

228

N/A

19

190

205

216

N/A

25

179

193

202

N/A

37.5

166

181

190

N/A

50

154

169

178

N/A

75

130

145

160

N/A

150

113

124

N/A

N/A

Air entrained concrete

Approximate mixing water (Kg/m3) for indicated   nominal size of aggregate

Max. size

(mm)

Slump (mm)

25-50

75-100

150-175

>175

9.5

181

202

216

N/A

12.5

175

193

205

N/A

19

168

184

197

N/A

25

160

175

184

N/A

37.5

150

165

174

N/A

50

142

157

166

N/A

75

122

133

154

N/A

150

107

119

N/A

N/A

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Step (6)

The Air content

 

Determine the percent of entrapped air in the paste with respect to the maximum size of aggregates used.

Approximate amount of air in non air-entrained concrete (%)

Nominal max. size

% air

9.5

3

12.5

2.5

19

2

25

1.5

37.5

1

50

0.5

75

0.3

150

0.2

 

Step (6)

 Dosage of Air-entraining agent

 

If the actual air content is not sufficient the decision of using air-entraining admixtures should be taken with respect to the conditions the concrete we are designing will be exposed to.

 

Approximate amount of air in air-entrained concrete (%)

Nominal max. size

% Air required

 

Mild

Exposure

Moderate

Exposure

Severe

Exposure

9.5

4.5

6

7.5

12.5

4

5.5

7

19

3.5

5

6

25

3

4.5

6

37.5

2.5

4.5

5.5

50

2

4

5

75

1.5

3.5

4.5

150

1

3

4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Mild Exposure

Includes indoor or outdoor service in a climate that does not expose the concrete to freezing or deicing agents. When you want air entrainment for any reason other than durability, such as to improve workability or cohesion or to improve strength in low-cement-factor concrete, you can use air contents that are lower than those required for durability.

 

Moderate exposure

means service in a climate where freezing is expected, but where the concrete is not continually exposed to moisture or free-standing water for long periods before freezing or to deicing agents or other aggressive chemicals. Structures that do not contact wet soil or receive direct applications of deicing salts are exterior beams, columns, walls, girders, and slabs.

 

Severe exposure

Where the concrete is exposed to deicing chemicals or other aggressive agents or where the concrete continually contacts moisture or freestanding water before freezing. Examples are pavements, bridge decks, curbs, gutters, sidewalks, canal linings, or exterior water tanks or slumps.

contact wet soil or receive direct applications of deicing salts are exterior beams, columns, walls, girders, and slabs.

 

NOTE : If the concrete is not continually wet and will not be exposed to deicing salts, lower air content values such as the ones in the non-air entraining concrete table could be used for moderate exposure though the concrete is exposed to freezing and thawing.

 

 

Step (7)

Determine the w/c ratio

 

Use the following tables or the figure to determine the required w/c ratio for achieving the design compressive strength:

 

Relationship between w/c ratio and compressive strength

Compressive strength

28 days MPa (N/mm2)

w/c ratio

Non air entrained concrete

40

0.42

35

0.47

30

0.54

25

0.61

20

0.69

15

0.79

Relationship between w/c ratio and compressive strength

Compressive strength

w/c ratio

28 days MPa (N/mm2)

Air entrained concrete

40

N/A

35

0.39

30

0.45

25

0.52

20

0.6

15

0.7

The above w/c are determined form the results of 150*300 cylinders and are not suitable for the design of concrete tested in cubes, the mean strength should be corrected for the equivalent cylinder value first.

 

 

 

 

Step (8)

Check w/c ratio

 

Check the computed w/c ratio with the maximum permissible w/c ratio in sever exposure.

 

Maximum permissible w/c ratio for concrete in severe exposure

                      

Structure wet

continuously or frequently and

exposed to frequent

freezing and thawing

Structure exposed

to sea water or sulfates

 

Thin sections (railings,

Curbs, sills, ledges,

Ornamental work), and

sections with less

then 25 mm cover

over steel

0.45

0.4

All other structures

0.5

0.45

 

Step (9)

Compute the cement content

 

Cement content =  water content /  w/c ratio

        

             C =W / (w/c)

If Fly Ash (PFA) is used :

 

 1  The Water content should be reduced:

 

Reduction in the free water content when PFA is used (kg/m³)

% PFA in concrete

Slump (mm)

0-10

10-30

30-60

60-100

10

5

5

5

10

20

10

10

10

15

30

15

15

20

20

40

20

20

25

25

50

25

25

30

30

 

 2  The cement and PFA contents are calculated as follows:

 

cement content = C =             (100-p)W (reduced)             .

                                   (100-0.7) [ w/ (c + 0.3 F) ]

 

and PDF = F = p*C /(100-p)

 

where p is the percent of PFA.

 

And [ w/ (c + 0.3 F) ] is the water/cement ratio from the tables.

 

Procedure:

 

  1. Determine the w/(c+0.3F) ratio as a normal w/c ratio from the table.
  2.  Reduce the water content as in the above table.
  3. Calculate C using the equation where [ w/ (c + 0.3 F) ] is the normal water/cement ratio from the tables.
  4. Calculate F from the equation where C is the value just computed.
  5. Compute the true water/cement ratio as:

 

w/c =  W reduced

              (C + F)

 

  1. Check the computed w/c ratio to the maximum w/c for durability

 

Step (10)

Compute the Coarse aggregates content

 

Use the table to find the bulk frication of the coarse aggregates (CA%) in the unit volume of concrete.

 

Compute the coarse aggregate content (CA)

 

CA= CA% * (Oven-Dry rodded unit weight)

In calculating the coarse aggregate weight, the percent of coarse aggregates from the table is multiplied by the OD rodded unit weight not the (SG*1000).

 

 

Bulk volume friction of coarse aggregates in the unit weight of concrete

Nominal max. size

of aggregates (mm)

2.4

2.6

2.8

3

9.5

0.5

0.48

0.46

0.44

12.5

0.59

0.57

0.55

0.53

19

0.66

0.64

0.62

0.6

25

0.71

0.69

0.67

0.65

37.5

0.75

0.73

0.71

0.69

50

0.78

0.76

0.74

0.72

75

0.82

0.8

0.78

0.76

150

0.87

0.85

0.83

0.81


 

Step (11)

Compute the fine aggregates content

 

Absolute Volume = weight / absolute unit weight

weight= SG (dry)* unit weight of water (1000 Kg/m3)

The only concrete component not calculate from the tables is the fine aggregates weight  and it can be calculated the following logic:

Unit volume of concrete is equal to the absolute volume of coarse, fine, air volume, cement volume and water volume.

 

1 m³ = V(C) +V(W) +V(air) +V(CA) + V(FA)

 

V(FA)=1 - V(C) - V(W) - V(air) - V(CA)

 

Where:

V water    = weight/unit weight  = weight / 1000

V cement = weight/unit weight   = weight / 3.15*1000

V air        = percent air/100 * 1m³

V coarse  = weight/absolute unit weight

                 = (percent coarse * OD rodded unit weight)/SG*1000

 

And the fine aggregates content is :

 

→ FA= V(FA) * SG OD(fine) * 1000

 

Step (12)

Adjusting the aggregates weights

 

Adjust for the moisture in Aggregates

 

W  (new)=

W+CA*[ Abs(CA)-Moist(C) ]/100+FA*[ Abs(FA)Moist(FA) ]/100

 

CA (new)= CA + CA * Moist(CA) /100

 
FA (new)= FA + FA * Moist(FA) /100

 

Where   Abs   : absorption of the each type of aggregates.

And       moist : the moisture in each type of aggregates

 

Step (13)

Proportioning the coarse aggregates

 

This method is helpful in determining the percent of each coarse aggregates gradation to be used to in order to produce the optimum combined aggregate gradation.

 

what is needed is the sieve analysis of each coarse gradation and the specs of the combined coarse aggregate. in addition to the specific gravity of each gradation.

 

P sieve = aA + bB + cC+ dD+….

 

Where:

P is the percent of materials passing a given sieve for the blended aggregate A,B,C,D,….    That means the allowed percent passing for that sieve in the specifications.

 

A,B,C,… percent material passing a given sieve for each aggregate    that means the percent passing on that sieve for each of the gradations.

 

a,b,c,…  proportions (decimal fractions) of the aggregates gradations to be blended.

 

For example:

 

sieve

% passing

% passing

% passing

% passing

% passing

agg1

agg2

agg3

agg4

specs

3/4"

45

32

30

28

40

1/2"

19

19

16

12

17

 

P 3/4 =40 = 45a+32b+30c+28d

P 1/2  =17= 19a+19b+16c+12d

if there's four gradations of aggregate that means four unknowns (a,b,c,d) find four equations as above and assume (a=1) and solve them as a percent of (a)

 

eq(1)            b=f(c,d)              

                                                            b=b →  c=f(d) eq(5)   

eq(2)            b=f(c,d)          

 

 

eq(3)            b=f(c,d)

                                                            b=b →  c=f(d) eq(6)

eq(4)            b=f(c,d)

 

 

from eq(5) and eq(6)              c=c   find d

 

the results will be a percent of (a) for example:

   a : b : c : d = 1 : 0.5 : 0.28 : 0.29

 

Knowing that a+b+c+d=1 sum of percents always equals 1.0

b=0.5a

c=0.28a

d=0.29a

Solve for a then b,c,d will follow

 

After the percent of each pile has been determined  mix a pile and measure the rodded unit weight to be used in the mix design.. And compute the specific gravity of the mixed blend using the following :

 

SG tot  = 1 / ( P1/100SG1 +P2/100SG2 +….+ Pn/100SGn)

 

SGtot is to be used in the calculation of the absolute volume of coarse aggregate.

 

Another helpful approach is given by the BS

 

Total coarse

aggregate

5-10 mm

3/16 – 3/8 in.

1-20 mm

3/8 – ¾ in.

20-40 mm

¾ - 1 ½ in

100%

33%

67%

----

!00%

18%

27%

55%

 

Step (14)

Trial Batch Mix

 

The calculated mix proportions should be checked by making trial mixes which must be tested for workability, cohesiveness, finishing properties and air content. as well as yield and density (unit weight). If any of those properties, except the last two, is unsatisfactory, adjustments to the mix proportions are necessary.

 

after the mix design is finished, and all the ingredients contents are determined, reduce these contents to a size suitable for mixing in the mixing equipment available (usually 0.02-0.04 m3) this is done by multiplying each ingredient weight by the trial batch size (Vt)

 

follow the slandered mixing procedure and add the amount of water (Wt) sufficient to produce a suitable slump regardless of the amount of the mixing water determined earlier  in the mix design.

 

when a suitable readable slump is achieved, determine the slump (St) and the unit weight of the trial mix (UWt)

 

Keep in mind that the water content was changed and the original water content is W new=Wt / Vt

 

note that the size of the batch trial is changed now from the one that was used to determine the reduced trail content as the water content is not the same.

 

Vt new = ( sum of the content) / Uwt

the weight of water in the above sum is Wt

 

After achieving a readable slump, if the slump is still different from the required slump then this means that the water content    (now Wnew) needs to be changed. A rule of thump for doing this is:

 

For each 25mm required change in slump (St), increase or decrease the water content (W t) by 6 kg/m3

 

Note : ( 6 kg of water for the unit cubic meter not the trial batch size )

 

Wnew=Wt + the estimated water increase/decrease

 

The cement content must be change to maintain the original w/c ratio required for the strength and durability.

 

Cement content (new)= Wnew / (w/c)

 

Because the water content changed, all the other ingredients must change except the coarse aggregate, as the CA% in the mix design is independent of the paste volume.

 

CA new = reduced CA trial batch content / Vt new

 

now, to complete the unit volume of 1 cubic meter

 

V sand=1- V(CA)-V(air)-V(C new)-V(W new)

 

Another trial batch is made based on the new contents and the above steps is repeated till the desired slump is required.

 

another approach for solving the troubles slump is changing the aggregates gradation, shape, and max. size but the effects of these changed on other properties must be observed carefully.

 

Problem

Solution

The required slump is not achieved (workability problems)

change the water content by 6 kg for each 25 mm slump increase/decrease and re-compute all the mix contents based on the new unit weight and batch size.

decrease the coarse aggregates max. size or/and the gradation or/and the shape and type of aggregate

The required Air Content is not achieved (durability problems)

The dose of the air entraining admixture should be adjusted to produce the specified air content the water content is then increased (decreased) by 3 Kg/m3 for each 1% decrease (increase) in air content so as to maintained the required slump because the increase of air content increases the slump

The produced density (unit weight) by the mass method is not achieved.

If the density was important and critical, mix proportions should be adjusted to change the air content.

The compressive strength is not achieved

Plot the compressive test result and the w/c ratio on the BS curve and find a new w/c ratio then start all over.

 


 

 

 

 

The British Method

 

Step (1)

Set design requirements

 

Step (2)

Test the aggregate

 

Step (3)

The recommended slump

 

If the required slump is not specified, use the following table:

 

Degree of workability

Slump (mm)

Use for which concrete is suitable

Very low

0-25

Roads vibrated by power-operated machines. at the more workable end of this group, concrete may be compacted in certain cases with hand-operated machines.

Low

25-50

Roads vibrated by hand-operated machines. At the more workable end of this group, concrete maybe manually compacted in roads using aggregate of rounded or irregular shape. Mass concrete foundations without vibration or lightly reinforced sections with vibration.

Medium

25-100

At the less workable end of this group, manually compacted flat slabs using crushed aggregate. Normal reinforced concrete manually compacted and heavily reinforced sections with vibration.

high

100-175

For sections with congested reinforcement. Not normally suitable for vibration

 

 

Step (4)

The design compressive strength

 

Determining the design compressive strength:

 

 1  Compute the standard deviation from the patch plant records of the compressive strength at 28 days if the standard deviation is not available use the following table:

 

Plant Q/C

SD

Excellent

3 N/mm2

Good

5 N/mm2

Poor

7 N/mm2

 

 2  Determine the factor relating to the allowed percentage of the results to fall below the specified strength    (f c) from this table:

 

K

Percent of results below strength   level

0

50

1

16

1.28

10

1.64

5

1.96 (2)

2.5

2.33

1

2.58

0.5

Infinity

0

 

 

 

 

 

 

 

 

 

 

 

 

The British standards allow up to 2.5 % of results to fall bellow (f c)

 

 3  Compute the design compressive strength (f’c)

 

The design compressive strength

                 = specified compressive strength +  S.D*k

                       =  f ’c = f c + S.D*k

 

Step (4)

Determine the w/c ratio

 

Use Table (1) to determine the compressive strength of a concrete mix with w/c=0.5

 

Plot the w/c=0.5 and the determined compressive strength on Figure (1) and draw a curve parallel to the existing curves on the figure.

 

On the new curve inter the value of the required design strength to find the suitable w/c ratio.

 

Check the w/c content with the maximum allowable w/c for durability from Table (3). And use the smallest value of w/c

 

Step (5)

The water content

 

Find the free water content from Figure (2).

 

Step (6)

The cement content

 

Calculate the cement content = C = W  / (w/c)

 

Check the cement content with the minimum cement content for durability from Table (2) and use the larger value (compute a new W if needed)

 

 

Step (7)

Determine the wet density

 

Use Figure (3) to determine the estimated wet density of the concrete.

 

 

Step (8)

Compute the total aggregate content

 

Agg. total = Wet density – ( C  + W )

 

 

Step (9)

Compute the fine aggregate content

 

From Figure (3) determine the percentage of the fine aggregates from the total aggregate content.

 

FA = %FA * Agg. total

 

Step (10

Compute the fine aggregate content

 

Determine the coarse aggregate content:

 

CA = Agg. total – FA

 

Step (12)

Adjusting the aggregates weights

 

Adjust for the moisture in Aggregates

 

W  (new)=

W+CA*[ Abs(CA)-Moist(C) ]/100+FA*[ Abs(FA)Moist(FA) ]/100

 

CA (new)= CA + CA * Moist(CA) /100

 
FA (new)= FA + FA * Moist(FA) /100

 

Where   Abs   : absorption of the each type of aggregates.

And       moist : the moisture in each type of aggregates

 

Step (13)

Proportioning the coarse aggregates

 

Step (14)

Trial Batch Mix

 

 

 

 

 

 

 

 

 

Environment

Max.

W/C

Min. content of cementitious material Kg/m³ for nominal max  of:

Min. grade

40 mm

20 mm

14mm

10 mm

Mild

0.8

150

180

200

220

20

Moderate

0.65

245

275

295

315

30

Severe

0.6

270

300

320

340

35

Very Severe

0.55

295

325

345

365

35

Extreme

0.50

320

350

370

390

45

Table (3)-a for plain concrete.

 

Note:

-The cementitious material doesn’t include any slag or PFA.

-The minimum grade of 35 MPa for very severe conditions is applicable only to air-entrained concrete.

 

 

Mild

Concrete surface protected against weather or aggressive conditions.

Moderate

Concrete surface sheltered from sever rain or freezing whilst wet.

Concrete subject to condensation.

Concrete surface continuously under water.

Concrete in contact with non-aggressive soil.

Severe

Concrete surface exposed too severe rain, alternating wetting and drying or occasional freezing or severe condensation.

Very Severe

Concrete surface exposed to seawater spray, de-icing salts (directly or indirectly), corrosive fumes or sever freezing conditions whilst wet.

Extreme

Concrete surface exposed to abrasive action like sea water carrying solids or flowing water with ph less or equal to 4.5 or machinery or vehicles

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

 

 

 

Condition of exposure

Nominal cover of concrete in mm

Mild

25

20

20

20

20

Moderate

-

35

30

25

20

Severe

-

-

40

30

25

Very severe

-

-

50

40

30

Extreme

 

 

 

60

50

 

Maximum w/c

0.65

0.6

0.55

0.5

0.45

Minimum content of cementitious materials

275

300

325

350

400

Minimum grade MPa

30

35

40

45

50

Table (3)-b for reinforced and prestressed concrete made with normal aggregates.

 

Notes:

-The above table applies when the maximum size of aggretes is 20mm when it’s 10mm and 14mm the content of cementitious materials should be increased by 40 kg/m³ and 20 kg/m³   for a maximum size of 40mm the content of cementitious materials can be reduced 30 kg/m³.

-The cementitious materials not including any slag or PFA.

 

 

 

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