CONCRETE MIX DESIGN
(IS 10262 (2009): Guidelines for concrete mix design proportioning [CED 2: Cement and Concrete)
INTRODUCTION
Concrete has become an indispensable construction material. According to the present state-of-the-art, concrete has bypassed the stage of mere four component system, that is, cement, water, coarse aggregate and fine aggregate.
It can be a combination of far more number of ingredients for example, a judicious combination of ingredients from as many as ten materials. In the recent past, apart from the four ingredients mentioned above, fly ash, ground granulated blast furnace slag, silica fume, rice husk ash, metakaoline and superplasticizer are six more ingredients which are generally used in concrete produced in practice as the situation demands.
The objective of proportioning concrete mixes is to arrive at the most economical and practical combinations of different ingredients to produce concrete that will satisfy the performance requirements underspecified conditions of usc. An intcgral part of concrete mix proportioning is the preparation of trial mixes and effect adjustments to
such trials to strike a balance between the requirements of placement, that is, workability and strength, concomitantly satisfying durability requirements.
Concrete has to be of satisfactory quality both in its fresh and hardened states. Mix proportioning is generally carried out for a particular compressive strength requirements ensuring that fresh concrete of the mix proportioned to possess adequate workability for placement without segregation and bleeding while attaining a dense state.
DATA FOR MIX PROPORTIONING
1. Grade designation
2. Type of cement
3. Maximum nominal size of aggregate
4. Minimum cement content
5. Maximum water-cement ratio
6. Workability
7. Exposure conditions as per Table 4 and Table 5 of IS -456
8. Maximum temperature of concrete at the time of placing
9. Method of transporting and placing
10. Early age strength requirements, if required
11. Type of aggregate
12. Maximum cement content; and
13.Whether an ad mixture shall or shall not be used and the type of admixture and the condition of use.
Target Strength for Mix Proportioning
The concrete mix has to be proportioned for higher target mean compressive strength (fck). The margin over characteristic strength is
ft = fck + 1.65 s
ft is the target mean compressive strength at 28days in N/mm2,
fck is characteristic compressive strength at 28days in N/mm2,
and s standard deviation in N/mm2
Standard deviation can be taken as follows
Sl.No | Grade of concrete | Assumed Standard Deviation N/mm2 |
1 | M10 | 3.5 |
2 | M15 | 3.5 |
3 | M20 | 4.0 |
4 | M25 | 4.0 |
5 | M30 to M55 | 5.0 |
Water-Content Ratio
The water–cement ratio is the ratio of the weight of water to the weight of cement used in a concrete mix. A lower ratio leads to higher strength and durability, but may make the mix difficult to work with and form.
The table given below is used when only angular shaped aggregates are used in concrete as well as the slump should be 25 to 50mm.
Maximum Water Content per Cubic Metre of Concrete for Nominal Maximum Size of Aggregate
Sl.No | Nominal Max Size of Aggregate (mm) | Maximum Water Content (kg) |
1 | 10 | 208 |
2 | 20 | 186 |
3 | 40 | 165 |
Aggregate Air content
Air content in the concrete mix is determined by the nominal maximum size of aggregate used.
Sl.No | Nominal Max Size of Aggregate (mm) | Aggregate Air Content (% of volume of concrete) |
1 | 10 | 5 |
2 | 20 | 2 |
3 | 40 | 1 |
Water – cement ratio is determined as described above and quantity of water is determined. The value obtained should satisfy the minimum conditions as given in the below table. The greater of the two values is decided as quantity of cement content.
Cement Content for Plain Cement Concrete
Exposure | Plain Cement Concrete (P.C.C) | ||
Minimum Cement Content Kg/m3 | Max Free Water – Cement Ratio | Minimum Grade of Concrete | |
Mild | 220 | 0.6 | – |
Moderate | 240 | 0.6 | M15 |
Severe | 250 | 0.5 | M20 |
Very severe | 260 | 0.45 | M20 |
Extreme | 280 | 0.4 | M25 |
Cement Content for Reinforced Concrete
Exposure | Reinforced Cement Concrete (RCC) | ||
Minimum Cement Content Kg/m3 | Max Free Water –Cement Ratio | Minimum Grade of Concrete | |
Mild | 300 | 0.55 | M20 |
Moderate | 300 | 0.5 | M25 |
Severe | 320 | 0.45 | M30 |
Very severe | 340 | 0.45 | M35 |
Extreme | 360 | 0.4 | M40 |
Calculation of Aggregate Ratio
For the given nominal maximum size of aggregate, we can calculate the ratio of volumes of coarse aggregate and volume of total aggregates for different zones of fine aggregates from the below table.
Nominal maximum size of aggregate | Ratio of volume of coarse aggregate and volume of total aggregate for different zones of fine aggregate | |||
Zone – 1 | Zone – 2 | Zone – 3 | Zone – 4 | |
10mm | 0.44 | 0.46 | 0.48 | 0.50 |
20mm | 0.6 | 0.62 | 0.64 | 0.66 |
40mm | 0.69 | 0.71 | 0.73 | 0.75 |
Calculation of Aggregate Content for Concrete
We already determine the coarse aggregate volume ratio in the total aggregate volume. So, it is very easy that, 1 – volume of coarse aggregate will give the volume of fine aggregate. Alternatively, there are some formulae to find the volume of fine and coarse aggregates as follows.
Mass of fine aggregate is calculated from below formula
Similarly, mass of coarse aggregate is calculated from below formula.
Where, V = volume of concrete
W = water content
C = cement content
Gc = sp. Gravity of cement
P = aggregate ration obtained in step6
F.A & C.A = masses of fine and coarse aggregates
Gf & Gca = sp. Gravities of fine and coarse aggregates.
Trial Mixes for Testing Concrete Mix Design Strength
Based on the values obtained above, conduct a trail test by making at least 3 cubes of 150mm size as per above standards. Test that cubes and verify whether the required strength is gained or not. If not, redesign the mix with proper adjustments until required strength of cube occurs.
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