CONCRETE
MIX DESIGN
Concrete Mix design is the
process of selecting suitable ingredients of concrete and determining
their relative amounts with
the objective of producing a concrete of the required, strength, durability,
and workability as economically as possible.
The proportioning of
ingredient of concrete is governed by the required performance of concrete in 2
states, namely the plastic and the hardened states. If the plastic concrete is
not workable, it cannot be properly placed and compacted. The property of
workability, therefore, becomes of vital importance.
The compressive strength of
hardened concrete which is generally considered to be an index of its other
properties, depends upon many factors, e.g. quality and quantity of cement,
water and aggregates; batching and mixing; placing, compaction and curing. The
cost of concrete is made up of the cost of materials, plant and labour. The
variations in the cost of materials arise from the fact that the cement is
several times costly than the aggregate, thus the aim is to produce as lean a
mix as possible.
From technical point of
view the rich mixes may lead to high shrinkage and cracking in the structural
concrete, and to evolution of high heat of hydration in mass concrete which may
cause cracking.
The actual cost of concrete
is related to the cost of materials required for producing a minimum mean
strength called Characteristic strength that is specified by
the designer of the structure. This depends on the quality control measures, but
there is no doubt that the quality control adds to the cost of concrete. The
extent of quality control is often an economic compromise, and depends on the
size and type of job. The cost of labour depends on the workability of mix,
e.g., a concrete mix of inadequate workability may result in a high cost of
labour to obtain a degree of compaction with available equipment.
Requirements of concrete
mix design
The requirements which form
the basis of selection and proportioning of mix ingredients are :
a ) The minimum compressive
strength required from structural consideration
b) The adequate workability
necessary for full compaction with the compacting equipment available.
c) Maximum water-cement
ratio and/or maximum cement content to give adequate durability for the
particular site conditions
d) Maximum cement content
to avoid shrinkage cracking due to temperature cycle in mass concrete.
TYPES OF MIXES
1. Nominal Mixes
The specifications for
concrete prescribed the proportions of cement, fine and coarse aggregates.
These mixes of fixed cement-aggregate ratio which ensures adequate strength are
termed nominal mixes. These offer simplicities and under normal circumstances,
have a margin of strength above that specified. However, due to the variability
of mix ingredients the nominal concrete for a given workability varies widely
in strength.
2. Standard mixes
The nominal mixes of fixed
cement-aggregate ratio (by volume) vary widely in strength and may result in
under- or over-rich mixes. For this reason, the minimum compressive strength
has been included in many specifications. These mixes are termed standard
mixes.
IS 456-2000 has designated
the concrete mixes into a number of grades as M10, M15, M20, M25, M30, M35 and
M40. In this designation the letter M refers to the mix and the number to the
specified 28 day cube strength of mix in N/mm2. The mixes of grades M10, M15,
M20 and M25 correspond approximately to the mix proportions (1:3:6), (1:2:4),
(1:1.5:3) and (1:1:2) respectively.
3. Designed Mixes
In these mixes the
performance of the concrete is specified by the designer but the mix
proportions are determined by the producer of concrete, except that the minimum
cement content can be laid down. This is most rational approach to the
selection of mix proportions with specific materials in mind possessing more or
less unique characteristics. The approach results in the production of concrete
with the appropriate properties most economically. However, the designed mix
does not serve as a guide since this does not guarantee the correct mix
proportions for the prescribed performance.
For the concrete with
undemanding performance nominal or standard mixes (prescribed in the codes by
quantities of dry ingredients per cubic meter and by slump) may be used only
for very small jobs, when the 28-day strength of concrete does not exceed 30
N/mm2. No control testing is necessary reliance being placed on the masses of
the ingredients.
Factors affecting the
choice of mix proportions
The various factors
affecting the mix design are:
1. Compressive strength
It is one of the most
important properties of concrete and influences many other describable
properties of the hardened concrete. The mean compressive strength required at
a specific age, usually 28 days, determines the nominal water-cement ratio of
the mix. The other factor affecting the strength of concrete at a given age and
cured at a prescribed temperature is the degree of compaction. According to
Abraham’s law the strength of fully compacted concrete is inversely proportional
to the water-cement ratio.
2. Workability
The degree of workability
required depends on three factors. These are the size of the section to be
concreted, the amount of reinforcement, and the method of compaction to be
used. For the narrow and complicated section with numerous corners or
inaccessible parts, the concrete must have a high workability so that full
compaction can be achieved with a reasonable amount of effort. This also
applies to the embedded steel sections. The desired workability depends on the
compacting equipment available at the site.
3. Durability
The durability of concrete
is its resistance to the aggressive environmental conditions. High strength
concrete is generally more durable than low strength concrete. In the
situations when the high strength is not necessary but the conditions of
exposure are such that high durability is vital, the durability requirement
will determine the water-cement ratio to be used.
4. Maximum nominal size
of aggregate
In general, larger the
maximum size of aggregate, smaller is the cement requirement for a particular
water-cement ratio, because the workability of concrete increases with increase
in maximum size of the aggregate. However, the compressive strength tends to
increase with the decrease in size of aggregate.
IS 456:2000 and IS
1343:1980 recommend that the nominal size of the aggregate should be as large
as possible.
5. Grading and type of
aggregate
The grading of aggregate
influences the mix proportions for a specified workability and water-cement ratio.
Coarser the grading leaner will be mix which can be used. Very lean mix is not
desirable since it does not contain enough finer material to make the concrete
cohesive.
The type of aggregate
influences strongly the aggregate-cement ratio for the desired workability and
stipulated water cement ratio. An important feature of a satisfactory aggregate
is the uniformity of the grading which can be achieved by mixing different size
fractions.
6. Quality Control
The degree of control can
be estimated statistically by the variations in test results. The variation in
strength results from the variations in the properties of the mix ingredients
and lack of control of accuracy in batching, mixing, placing, curing and
testing. The lower the difference between the mean and minimum strengths of the
mix lower will be the cement-content required. The factor controlling this
difference is termed as quality control.
Mix Proportion
designations
The common method of
expressing the proportions of ingredients of a concrete mix is in the terms of
parts or ratios of cement, fine and coarse aggregates. For e.g., a concrete mix
of proportions 1:2:4 means that cement, fine and coarse aggregate are in the
ratio 1:2:4 or the mix contains one part of cement, two parts of fine aggregate
and four parts of coarse aggregate. The proportions are either by volume or by
mass. The water-cement ratio is usually expressed in mass
Factors to be considered
for mix design
ð The grade designation
giving the characteristic strength requirement of concrete.
ð The type of cement
influences the rate of development of compressive strength of concrete.
ð Maximum nominal size of
aggregates to be used in concrete may be as large as possible within the limits
prescribed by IS 456:2000.
ð The cement content is to
be limited from shrinkage, cracking and creep.
ð The workability of
concrete for satisfactory placing and compaction is related to the size and
shape of section, quantity and spacing of reinforcement and technique used for
transportation, placing and compaction.
DESIGN MIX REPORT FORMAT
(This is only for
reference)
M-25 CONCRETE MIX
DESIGN |
|||
As per IS 10262-2009
& MORT&H |
|||
A-1 |
Stipulations for
Proportioning |
||
1. |
Grade Designation |
M25 |
|
2 |
Type of Cement |
OPC 53 grade confirming
to IS-12269-1987 |
|
3 |
Maximum Nominal Aggregate
Size |
20 mm |
|
4 |
Minimum Cement Content
(MORT&H 1700-3 A) |
310 kg/m3 |
|
5 |
Maximum Water Cement
Ratio (MORT&H 1700-3 A) |
0.45 |
|
6 |
Workability (MORT&H
1700-4) |
50-75 mm (Slump) |
|
7 |
Exposure Condition |
Normal |
|
8 |
Degree of Supervision |
Good |
|
9 |
Type of Aggregate |
Crushed Angular Aggregate |
|
10 |
Maximum Cement Content
(MORT&H Cl. 1703.2) |
540 kg/m3 |
|
11 |
Chemical Admixture Type |
Superplasticiser
Confirming to IS-9103 |
|
A-2 |
Test Data for
Materials |
||
1 |
Cement Used |
xxx (Brand) OPC 53 grade |
|
2 |
Sp. Gravity of Cement |
3.15 |
|
3 |
Sp. Gravity of Water |
1.00 |
|
4 |
Chemical Admixture |
BASF Chemicals Company |
|
5 |
Sp. Gravity of 20 mm
Aggregate |
2.884 |
|
6 |
Sp. Gravity of 10 mm
Aggregate |
2.878 |
|
7 |
Sp. Gravity of Sand |
2.605 |
|
8 |
Water Absorption of 20 mm
Aggregate |
0.97% |
|
9 |
Water Absorption of 10 mm
Aggregate |
0.83% |
|
10 |
Water Absorption of Sand |
1.23% |
|
11 |
Free (Surface) Moisture
of 20 mm Aggregate |
nil |
|
12 |
Free (Surface) Moisture
of 10 mm Aggregate |
nil |
|
13 |
Free (Surface) Moisture
of Sand |
nil |
|
14 |
Sieve Analysis of
Individual Coarse Aggregates |
Separate Analysis Done |
|
15 |
Sieve Analysis of
Combined Coarse Aggregates |
Separate Analysis Done |
|
15 |
Sp. Gravity of Combined
Coarse Aggregates |
2.882 |
|
16 |
Sieve Analysis of Fine
Aggregates |
Separate Analysis Done |
|
A-3 |
Target Strength for
Mix Proportioning |
||
1 |
Target Mean Strength
(MORT&H 1700-5) |
36N/mm2 |
|
2 |
Characteristic Strength @
28 days |
25N/mm2 |
|
A-4 |
Selection of Water
Cement Ratio |
||
1 |
Maximum Water Cement
Ratio (MORT&H 1700-3 A) |
0.45 |
|
2 |
Adopted Water Cement
Ratio |
0.43 |
|
A-5 |
Selection of Water
Content |
||
1 |
Maximum Water content
(10262-table-2) |
186 Lit. |
|
2 |
Estimated Water content
for 50-75 mm Slump |
138 Lit. |
|
3 |
Superplasticiser used |
0.5 % by wt. of cement |
|
A-6 |
Calculation of Cement
Content |
||
1 |
Water Cement Ratio |
0.43 |
|
2 |
Cement Content (138/0.43) |
320 kg/m3 |
|
Which is greater then 310
kg/m3 |
|||
A-7 |
Proportion of Volume
of Coarse Aggregate & Fine Aggregate Content |
||
1 |
Vol. of C.A. as per table
3 of IS 10262 |
62.00% |
|
2 |
Adopted Vol. of Coarse
Aggregate |
62.00% |
|
Adopted Vol. of Fine
Aggregate ( 1-0.62) |
38.00% |
||
A-8 |
Mix Calculations |
||
1 |
Volume of Concrete in m3 |
1.00 |
|
2 |
Volume of Cement in m3 |
0.10 |
|
(Mass of Cement) / (Sp.
Gravity of Cement)x1000 |
|||
3 |
Volume of Water in m3 |
0.138 |
|
(Mass of Water) / (Sp.
Gravity of Water)x1000 |
|||
4 |
Volume of Admixture @
0.5% in m3 |
0.00134 |
|
(Mass of Admixture)/(Sp.
Gravity of Admixture)x1000 |
|||
5 |
Volume of All in
Aggregate in m3 |
0.759 |
|
Sr. no. 1 – (Sr. no.
2+3+4) |
|||
6 |
Volume of Coarse
Aggregate in m3 |
0.471 |
|
Sr. no. 5 x 0.62 |
|||
7 |
Volume of Fine Aggregate
in m3 |
0.288 |
|
Sr. no. 5 x 0.38 |
|||
A-9 |
Mix Proportions for
One Cum of Concrete (SSD Condition) |
||
1 |
Mass of Cement in kg/m3 |
320 |
|
2 |
Mass of Water in kg/m3 |
138 |
|
3 |
Mass of Fine Aggregate in
kg/m3 |
751 |
|
4 |
Mass of Coarse Aggregate
in kg/m3 |
1356 |
|
Mass of 20 mm in kg/m3 |
977 |
||
Mass of 10 mm in kg/m3 |
380 |
||
5 |
Mass of Admixture in kg/m3 |
1.60 |
|
6 |
Water Cement Ratio |
0.43 |
|
M-30 CONCRETE MIX
DESIGN |
||
As per IS 10262-2009
& MORT&H |
||
A-1 |
Stipulations for
Proportioning |
|
1 |
Grade Designation |
M30 |
2 |
Type of Cement |
OPC 53 grade confirming
to IS-12269-1987 |
3 |
Maximum Nominal Aggregate
Size |
20 mm |
4 |
Minimum Cement Content
(MORT&H 1700-3 A) |
310 kg/m3 |
5 |
Maximum Water Cement
Ratio (MORT&H 1700-3 A) |
0.45 |
6 |
Workability (MORT&H
1700-4) |
50-75 mm (Slump) |
7 |
Exposure Condition |
Normal |
8 |
Degree of Supervision |
Good |
9 |
Type of Aggregate |
Crushed Angular Aggregate |
10 |
Maximum Cement Content
(MORT&H Cl. 1703.2) |
540 kg/m3 |
11 |
Chemical Admixture Type |
Superplasticiser
Confirming to IS-9103 |
|
||
A-2 |
Test Data for
Materials |
|
1 |
Cement Used |
xxx (Brand name) OPC 53
grade |
2 |
Sp. Gravity of Cement |
3.15 |
3 |
Sp. Gravity of Water |
1.00 |
4 |
Chemical Admixture |
BASF Chemicals Company |
5 |
Sp. Gravity of 20 mm
Aggregate |
2.884 |
6 |
Sp. Gravity of 10 mm
Aggregate |
2.878 |
7 |
Sp. Gravity of Sand |
2.605 |
8 |
Water Absorption of 20 mm
Aggregate |
0.97% |
9 |
Water Absorption of 10 mm
Aggregate |
0.83% |
10 |
Water Absorption of Sand |
1.23% |
11 |
Free (Surface) Moisture
of 20 mm Aggregate |
nil |
12 |
Free (Surface) Moisture
of 10 mm Aggregate |
nil |
13 |
Free (Surface) Moisture
of Sand |
nil |
14 |
Sieve Analysis of
Individual Coarse Aggregates |
Separate Analysis Done |
15 |
Sieve Analysis of
Combined Coarse Aggregates |
Separate Analysis Done |
15 |
Sp. Gravity of Combined
Coarse Aggregates |
2.882 |
16 |
Sieve Analysis of Fine
Aggregates |
Separate Analysis Done |
A-3 |
Target Strength for
Mix Proportioning |
|
1 |
Target Mean Strength
(MORT&H 1700-5) |
42N/mm2 |
2 |
Characteristic Strength @
28 days |
30N/mm2 |
A-4 |
Selection of Water
Cement Ratio |
|
1 |
Maximum Water Cement
Ratio (MORT&H 1700-3 A) |
0.45 |
2 |
Adopted Water Cement
Ratio |
0.42 |
A-5 |
Selection of Water Content |
|
1 |
Maximum Water content
(10262-table-2) |
186 Lit. |
2 |
Estimated Water content
for 50-75 mm Slump |
160 Lit. |
3 |
Superplasticiser used |
0.5 % by wt. of cement |
A-6 |
Calculation of Cement
Content |
|
1 |
Water Cement Ratio |
0.42 |
2 |
Cement Content (160/0.42) |
380 kg/m3 |
Which is greater then 310
kg/m3 |
||
A-7 |
Proportion of Volume
of Coarse Aggregate & Fine Aggregate Content |
|
1 |
Vol. of C.A. as per table
3 of IS 10262 |
62.00% |
2 |
Adopted Vol. of Coarse
Aggregate |
62.00% |
Adopted Vol. of Fine
Aggregate ( 1-0.62) |
38.00% |
|
A-8 |
Mix Calculations |
|
1 |
Volume of Concrete in m3 |
1.00 |
2 |
Volume of Cement in m3 |
0.12 |
(Mass of Cement) / (Sp.
Gravity of Cement)x1000 |
||
3 |
Volume of Water in m3 |
0.160 |
(Mass of Water) / (Sp.
Gravity of Water)x1000 |
||
4 |
Volume of Admixture @
0.5% in m3 |
0.00160 |
(Mass of Admixture)/(Sp.
Gravity of Admixture)x1000 |
||
5 |
Volume of All in
Aggregate in m3 |
0.718 |
Sr. no. 1 – (Sr. no.
2+3+4) |
||
6 |
Volume of Coarse
Aggregate in m3 |
0.445 |
Sr. no. 5 x 0.62 |
||
7 |
Volume of Fine Aggregate
in m3 |
0.273 |
Sr. no. 5 x 0.38 |
||
A-9 |
Mix Proportions for
One Cum of Concrete (SSD Condition) |
|
1 |
Mass of Cement in kg/m3 |
380 |
2 |
Mass of Water in kg/m3 |
160 |
3 |
Mass of Fine Aggregate in
kg/m3 |
711 |
4 |
Mass of Coarse Aggregate
in kg/m3 |
1283 |
Mass of 20 mm in kg/m3 |
924 |
|
Mass of 10 mm in kg/m3 |
359 |
|
5 |
Mass of Admixture in kg/m3 |
1.90 |
6 |
Water Cement Ratio |
0.42 |