IS Concrete Mix Proportioning – Guidelines
Objective
To design a concrete mix in accordance with Indian Standard
mix proportioning – Guidelines.
Theory and
Scope
The concrete mix design method
uses the Indian Standard mix proportioning guidelines to achieve specified characteristics,
i.e., workability of fresh concrete, and strength and durability requirements
of hardened concrete at specified age. The guidelines are applicable to ordinary
and standard concrete grades only. All the requirements of IS 456-2000 are also
satisfied in the mix design process.
Based on the guidelines,
the preliminary or trial mixes are made and desired properties of the trial
mixes are checked; suitable adjustments are made to produce concrete possessing
specified properties both in fresh and hardened states with the maximum overall
economy. The design of plastic concrete mixes of medium strength can be based
on the following two criteria:
1.
The compressive strength of concrete is governed
by its water-cement ratio.
2.
For the given aggregate characteristics, the
workability of concrete is governed by its water content.
Apparatus
Sieve sets for finding maximum
nominal size, and gradings of coarse and fine aggregates; Weighing balance; Trowels;
Tamping bar; Moulds, Universal compression testing machine; Graduated cylinder;
Slump cone apparatus and Buckets.
Procedure
Step 1: Perform sieve analyses
of both the fine and coarse aggregates available to determine:
a. The maximum nominal size of coarse aggregate,
b. The gradings of fine and coarse aggregates and
c. The grading zone of fine aggregate.
If necessary, combine two or
more different size coarse aggregate fractions so that the overall grading of
coarse aggregate conforms to Table 2 of IS-383 for the particular nominal
maximum size of aggregate.
Step 2: Determine the unit
weight, specific gravities, and absorption capacities of both the coarse and fine
aggregates.
Step 3: Determine the target
mean compressive strength f’ck in
MPa from the specified characteristic compressive strength at 28-day fck in
MPa and the level of quality control.
F’ck = fck +1.65S
where S is the standard deviation in MPa obtained from the Table
below.
Assumed standard deviation
Group No. |
Grade
of concrete |
Assumed
standard deviation, MPa |
Quality
control |
1. |
M10 M15 |
3.5 |
The values
correspond to the site control having proper storage of cement; weigh
batching of all materials; controlled
addition of water; regular checking of
all materials, aggregate grading and
moisture content; and periodical
checking of workability and strength.
Where there is a deviation from the
above, values given in this table shall be increased by 1.0 MPa. |
2. |
M20 M25 |
4.0 |
|
3.
|
M30 M35 M40 M45 M50 M55 |
5.0 |
Step 4:
Determine the water-cement ratio using the relationship between strength and
free water–cement ratio established for the materials used in the job. In
the absence of such data, select the preliminary free water-cement ratio (by
mass) corresponding to the target mean strength at 28 days using the empirical relationship between
compressive strength and water–cement ratio given in Fig. below Check the selected water–cement
ratio against the limiting water–cement ratio for the requirements of durability given in Table below
the lower of the two values is adopted.
Table: Minimum cement content and maximum water–cement
ratio of concrete with normal weight aggregates
of 20 mm nominal maximum size subjected to different exposures (Adapted from IS 456-2000)
Si.no |
Exposure condition |
Plain Concrete |
Reinforced Concrete |
||||
Minimum cement content,
kg/ m3 |
Maximum
free water- cement ratio
|
Minimum grade of concrete
|
Minimum
cement content,
kg/ m3
|
Maximum
free water- cement ratio
|
Minimum grade of concrete
|
||
1 |
Mild |
220 |
0.60 |
- |
300 |
0.55 |
M20 |
2 |
Moderate |
240 |
0.60 |
M15 |
300 |
0.60 |
M
25 |
3 |
Severe |
250 |
0.50 |
M20 |
320 |
0.45 |
M30 |
4 |
Very
severe |
260 |
0.45 |
M20 |
340 |
0.45 |
M35 |
5 |
Extreme |
280 |
0.40 |
M25 |
360 |
0.40 |
M40 |
Adjustments
to Minimum cement contents for Aggregates other than 20 mm Nominal Maximum Size |
|||||||
Nominal
Maximum Size, mm |
Adjustments
to Minimum cement contents, kg/m3 |
||||||
10 |
+40 |
||||||
20 |
0 |
||||||
40 |
-30 |
Notes:
1. Cement content prescribed is irrespective of the
grades of cement and it is inclusive of all supplementary cementitious materials. The additions such as fly ash or
ground granulated blast furnace slag may be taken into account in the concrete composition with respect to the
cement content and water-cement ratio if the suitability is established and
as long as the maximum amounts taken
into account do not exceed the limit of pozzolana and slag specified in IS
1489 (Part I) and IS 455 respectively.
2. Minimum grade for plain concrete under mild exposure
conditions is not specified.
Step 5: Determine
the water content per unit volume of concrete, for the required workability and
maximum size of aggregates (for
aggregates in saturated surface dry condition) from Table 10.7 for computing
cementitious material contents for trial
batches.
Table 2: Maximum water content for the nominal maximum
size of aggregate
Step 6:
Calculate the cement and supplementary cementitious material content per unit
volume of concrete from the free
water-cement ratio and the water content per unit volume of concrete. Check
the cementitious material content so
calculated against the minimum content for the requirements of durability; adopt the greater of the two
values.
Step 7:
Estimate the volume of a coarse aggregate of a given nominal maximum size from
Table 10.8 for the reference
water–cement ratio of 0.5 and grading zone of fine aggregate used; adjust it suitably
for the selected water-cement ratios.
For more workable concrete, e.g., pumpable or concrete
mixes to be placed around congested reinforcing steel the estimated coarse aggregate content may be reduced
up to 10 per cent subject to slump,
water-cement ratio and strength properties of concrete remaining consistent
with the provisions of IS 456 and project specifications.
Table 3: Proportion of coarse aggregate to total
aggregate for different zones of fine
aggregate
Step 8:
Estimate the volume of total aggregate by subtracting the sum of absolute
volumes of cementitious material, water
and the chemical admixture; and entrained air (if considered) from the unit volume
of concrete.
Step 9:
Divide the volume of total aggregate so obtained into coarse and fine aggregate
fractions by volume in accordance with the coarse aggregate proportion already determined in Step 7. Determine the
coarse and fine aggregate contents by
multiplying with their respective specific gravities and multiplying by 1000. Alternatively, determine the volume
of coarse and fine aggregate fractions as follows.
And,
V = absolute volume of fresh concrete,
= gross volume (1.0 m3) minus the volume of entrapped
air,
Sc = specific gravity of cement,
W = Mass of water per cubic metre of concrete, kg
C = mass of cement per cubic metre of concrete, kg
p = ratio of coarse aggregate to total aggregate by
absolute volume,
fa. Ca = total masses of fine and coarse aggregates, per
cubic metre of concrete, respectively, kg
and
Sfa, Sca= specific gravities of saturated surface dry fine
and coarse aggregates, respectively.
Step 10:
Determine the concrete mix proportions for the first trial mix or trial mix no.
1. Measure the workability of the trial
mix in terms of a slump; carefully observe the mix for freedom from segregation and bleeding and its finishing
properties. If the slump of the first trial mix is different from the stipulated value, adjust the water
and/or admixture content suitably to obtain the correct slump.
Step 11: Recalculate the mix proportions keeping the
free water–cement ratio at the pre-selected value; this will comprise trial mix
no. 2. In addition formulate two more trial mixes no. 3 and 4 with the water content same as trial mix no. 2 and
varying the free water–cement ratio by ±10 per cent of the preselected value.
Step 12: Test the fresh
concrete for unit weight, yield and air content. Prepare trial mix and cast
three 150 mm cubes and test them after 28 days of moist curing.
Step 13:
Analyse mix nos. 2 to 4 for relevant information, including the relationship
between compressive strength and
water–cement ratio. Compute water–cement ratio required for the mean target
strength using the relationship.
Recalculate the mix proportions for the changed water–cement ratio keeping water content at the same level as that
determined in trial no. 2.
For field trials, produce the concrete by the actual concrete
production method used in the field.
Observations
and Calculations
The compressive strength of concrete mix
is……….. The designed mix is suitable/it
needs further revision. The mix
proportions are…………………
Precautions
The water content and the
proportion of coarse aggregate should be adjusted for any difference in workability, water–cement ratio and the
grading zone of fine aggregate from the reference values used in the Table below
The slump test, cube
casting, curing and testing should be done according to the specifications.
the fresh concrete should
be carefully observed for freedom from segregation and bleeding, and finishing properties.
Discussion
The mix design is really a process
of making an initial guess at the optimum combination of ingredients and the final mix proportion is obtained only on
the basis of further trial mixes. The IS guidelines envisage that the design of concrete mix is based on the following
factors:
Grade designation gives
the characteristic strength requirement of the concrete. The term characteristic
strength means that the value of the strength of material below which not more than
five per cent of test results are
expected to fall. Depending upon the level of quality control available at the
site, the concrete mix has to be
designed for a target mean strength which is greater than the
characteristic strength by a suitable margin.
The target mean strength is expressed as
ft
= fck + 1.65 S
where ft = target mean strength,
fck = characteristic
strength, and
S = standard deviation.
The maximum nominal size of aggregates
to be used in concrete may be as large as possible within the limits prescribed by IS: 456-2000 and IS: 1343-1980.
In general, increasing the maximum nominal size of aggregate helps increase the workability and reduce the cement requirement for a particular water-cement ratio. However, the size
of aggregates also influences the compressive strength of concrete in that, for a particular volume
of aggregate, the compressive strength tends to increase with a decrease in the size of aggregate. This
is due to the fact that the smaller size of aggregates provides a larger surface area for binding with the mortar matrix.
Moreover, increasing the maximum size of aggregate increases the stress concentration in the
mortar-aggregate interface. For high-strength concrete, 10 or 20 mm size of aggregate is preferable.
The cement content is to be
limited from shrinkage cracking and creep considerations. In thick concrete sections restrained against movements, high
cement content may give rise to excessive cracking by differential thermal stresses due to
hydration of cement in young concretes. However, the cement content should not be less than the minimum content
prescribed for the requirements of durability.
For high strength, concrete increasing
cement content beyond a certain value, of the order of 550 kg/m3 or so may not help in increasing the compressive
strength. From overall economic considerations, the maximum cement content in concrete mixes is limited
to 530 kg/m3 for prestressed concrete.
The workability of concrete
for satisfactory placing and compaction is related to the size and shape of the section to be concreted, the quantity
and spacing of reinforcement and the technique used for transportation, placing and compaction of concrete.
In the case of fly ash cement
concrete of comparable workability, the water-cement ratio can be reduced by about 3 to 5 per cent and the proportion of fine
aggregate is reduced by 2 to 4 per cent points.
The compressive strength
of concrete for the same free water-cement ratio varies with the type of cement and supplementary cementitious materials,
maximum size, grading, surface texture, and shape of aggregate. Therefore, the relationship between
strength and free water-cement ratio should preferably be established for the materials actually to
be used. In the absence of such data, the preliminary free water-cement ratio (by mass) corresponding to the
target strength at 28 days may be selected from the established relationship, if available, e.g., from
Fig. below This relationship is applicable to both ordinary Portland and Portland pozzolana cement. If the
7-day compressive strength of concrete is considered as an additional parameter influencing the relationship
between the water-cement ratio and 28-day compressive strength Fig. below can be used to make a more
precise estimate of the water-cement ratio. Alternatively, the water-cement ratio
given in Table 5 of IS 456 for respective environment exposure conditions may be used as starting point. The supplementary
cementitious materials, i.e., mineral admixtures are included in water–cement ratio calculations in
accordance with Table 5 of IS 456.
Relationship between the free water-cement ratio
and 28-day compressive strength of concrete
As in the ACI method, the volume of coarse aggregate in the concrete
mix is first determined depending upon the maximum nominal size of coarse aggregate and grading
of fine aggregate. Both the methods use the absolute volumes of the ingredients in mix proportioning.
The method can use the
aggregate available at the work site of any grading so long as they are within
the grading limits specified by IS 383,
i.e., conform to standard grading. For example, consider the case where the fine and coarse aggregates available at the work site
(given in the table) are to be combined so as to approximate the standard grading also listed in the table.
This can be done conveniently by analytical calculations.
If fine and coarse aggregates are combined in proportion
1: k, then using IS: 4.75 mm sieve size as criteria,
the value of k is given by: k = (f-s/s-c)
The grading of the resulting combined aggregate is
determined by multiplying the grading of fine and
coarse aggregates by 1.0 and k, respectively, and
dividing the sum of corresponding products of percentages
passing the particular sieve size by (1 + k), the values
being rounded off to nearest percentage. For this case
k =
(f-s/s-c) = (100-30)/(30-7) = 3.043
Therefore, fine and coarse aggregates are to be
combined in a mass proportion of 1: 3.043
REFERENCES-NATIONAL STANDARDS
IS 383-1970 (2nd revision,
reaffirmed 2011): Specification for Coarse and Fine Aggregates from Natural Sources for Concrete.
IS 456-2000 (4th revision,
reaffirmed 2011): Code of Practice for Plain and Reinforced Concrete.
IS 2386 (Part 3) -1963
(reaffirmed 2011): Methods of Test for Aggregates for Concrete: Part 3: Specific Gravity, Density, Voids, Absorption and
Bulking
IS 3812 (Part 1)-2003 (2nd
revision, reaffirmed 2007): Specification for Pulverized Fuel Ash: Part1:
For Use as Pozzolana in
Cement, Cement Mortar and Concrete.
IS 8112-1989 (1st revision,
reaffirmed 2009): Specification for 43-grade Ordinary Portland Cement.
IS 9103-1999 (1st revision,
reaffirmed 2008): Specification for Admixtures for Concrete.
IS 10262-2009 (1st
revision): Concrete Mix Proportioning-Guidelines.
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