**Concrete Mix Design Calculation as per IS Code** means the **Government of Indian** release guidelines for concrete strength and quality control. Indian standard code gives proper guidelines and methods for designing concrete mix to get proper strength of concrete.

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**What is Concrete Mix Design?**

**Concrete Mix Design** can be defined as the method of calculating a suitable quantity of materials of concrete and find out the required proportions with the object of producing concrete of certain minimum strength and durability as economically as possible.

**Concrete Mix Design** is a process of calculating the quantity of materials like cement, sand, aggregate, water, and admixtures to achieve or make specified strength of concrete.

I**n simple words,** the method of calculating materials quantity that make required grade of concrete.

The concrete mix design is no easy task considering the widely varying properties of the constituent materials, the conditions that prevail at the site of work, in particular the exposure condition, and the conditions that are essential for different construction work for which the mix is designed.

**Design of concrete mix **demands deep knowledge of concrete materials properties; these make the task of mix design more complex and difficult.

**The design process of concrete mix **required deep knowledge of material properties and properties of concrete in plastic condition; it also needs wider knowledge and experience of concrete.

Even the quantity of materials of concrete calculated in the laboratory requires modification and readjustments to suit the field conditions.

With advance research and experiment with deep studies of properties materials, the concrete is becoming more and more an exact material than in the past.

The **structural designer considers some minimum criteria for strength for design; and the concrete designer with the knowledge of the materials, site exposure conditions,** and standard of supervision on construction site to achieve this minimum strength and durability.

Further, it’s the site engineerâ€™s responsibility to make concrete at the site and for that, he has to closely following the parameters suggested by the mix designer to achieve the minimum strength specified by the structural engineer.

In some cases, concrete mix design calculation parameters have to slightly modify the mix proportions given by the mix designer.

There must be the provision of casting concrete cubes and cylinders in required numbers and tests them to confirm the achievements with respect to the minimum specified strength.

**Read More:** **Concrete â€“ Its Materials, Properties, Tests & Cos****t**

**Concrete Mix Design Example as per IS Code – 10262: 2019**

The Bureau of Indian Standards recommended a set procedure for the design of concrete mix mainly based on the work done in national laboratories. The **Concrete Mix Design Calculation** procedure is covered in** IS 10262: 2019**. The methods can utilize for both medium strength and high strength concrete.

The guidelines for concrete mix design is **10262 is 2019 pdf**

** Data Required for Mix Proportioning:**

The following data required for **Concrete Mix Design Calculations as per IS Code** of particular grade of concrete.

1. Grade designation;

2. Type of cement, and grade of cement (if applicable);

3. Maximum nominal size of aggregate;

4. Minimum cement/cementitious materials content and maximum water-cement/cementitious materials ratio to be adopted;

or

Exposure conditions as per Table 3 and Table 5 of IS 456;

5. Workability required at the time of placement;

6. Transportation time;

7. Method of Placing;

8. Degree of site control (good/fair) or value of established standard deviation, if any;

9. Type of coarse aggregate (angular/sub-angular/ gravel with some crushed particles/rounded gravel/manufactured coarse aggregate);

10. Type of fine aggregate (natural sand/ crushed stone or gravel sand/manufactured sand/ mixed sand);

11. Maximum cement content;

12. Whether a chemical admixture shall or shall not be used and the **type of chemical admixture** and the extent of use;

13. Whether a mineral admixture shall or shall not be used and the type of mineral admixture and the extent of use; and

14. Any other specific requirement like early age strength requirements.

Following are the steps to be followed for **concrete mix design calculations as per I****S Code 10262 :2019**,

**Concrete Mix Design Calculation as per IS Code for M â€“ 20 Grade of Concrete**

Following steps for concrete mix design procedure as per IS Code 10262 – 2019,,

**Step-1: Calculate Target Mean Strength of Concrete**

In order that not more than the specified proportion of test results are likely to fall below the characteristic strength, the concrete mix has to be proportioned for higher target mean** compressive strength f â€™ck.**

The Target mean characteristic strength is given by the following relation:

**fâ€™ck = fck + 1.65 S**

**or**

** fâ€™ck = fck + X**

**whichever is higher.**

where,

fâ€™ck = Target mean strength (compressive) at end of 28 days, in N/mm2;

fck = characteristic strength (compressive) at end of 28 days, in N/mm2;

S = standard deviation, in N/mm2 (see 4.2.1); and

X = Factor as per Grade of Concrete, as per Table 1.

**Table â€“ 2 Assumed Standard Deviation**

**Concrete Mix Design Calculation**

**For M -20 Grade of Concrete,**

**Target Mean Compressive Strength (fâ€™ck) = fck + 1.65 S**

** = 20 + 1.65 x 4 (S = 4.0 for M – 20)**

** = 26.6 N/mm****Â²**

**Target Mean Strength ( fâ€™ck) = fck+ X**

** = 20 + 5.5**

** = 25.5 N/mmÂ²**

**Always select higher value. Therefore, for M-20 grade of concrete we will try to achieve 26.6 N/mmÂ² strength.**

**Concrete Mix Design Calculation as per IS Code – 10262 : 2019**

**Read More:** **How To Make Concrete â€“ Batching, Mixing, Transporting & Placing**

**Step- 2 Selection of Water-Cement Ration**

It is stated for concrete mix design as per is code that in general different types of cement, aggregates of various maximum size and supplementary cementitious materials, grading, surface texture, shape, and other characteristics may produce concrete of different compressive strength for the same free water-cement ratio.

Therefore, a proper relationship between the water-cement ratio and the strength of concrete should preferably be established for the materials actually to be used.

In case such data not available, related water-cement ratio (by mass) (w/c) corresponding to the** compressive strength at 28 days** may be selected from the relationship shown in Fig.1, for the expected 28 days strength of cement.

**So, for the M â€“ 20 Grade of concrete, we have a **target mean strength of **26.66 N/mmÂ² and we have OPC â€“ 53 grade of cement.**

**As per our cement grade OPC -53, we have to follow Curve 3.**

**From graph, for 26.66 N/mmÂ² concrete strength at 28 days bisect the curve 3 at 0.62 free water-cement ratio.**

Where supplementary cementitious materials are used, that is, mineral admixtures, the water cementitious materials ratio (w/cm) shall be calculated, in accordance with Table 5 of IS 456 and this w/cm shall be as per Table 3 and Table 5 of IS 456 or as specified.

**So, we select water cement ration for M- 20 grade of concrete is 0.62.**

**Suggestion:**

** **Always prefer a higher water-cement ratio for your concrete because IS code tests and studies are done in a controlled manner in laboratories which procedure and care not possible on construction site. So, my suggestion is to select a higher **water-cement ratio **for your concrete grade. **(Higher means, for M -20 grade of concrete IS code indicates 0.62, select 0.5 less that is 0.55)**

**Concrete Mix Design Calculation** **as per IS Code – 10262 : 2019**

**Step â€“ 3 Estimation of Air Content**

The approximate volume of entrapped air content to be expected in normal (non-air-entrained) concrete is given in Table 3.

**We have nominal maximum size of aggregate 20 mm.**

**From above table approximate air content as percentage of volume of concrete 1 %.**

**Step â€“ 4 Selections of Water Content and Admixture Content**

The water content in concrete is generally affected by various factoes, such as aggregate size, aggregate shape, aggregate texture, workability, water-cement ratio, cement and other supplementary cementitious materials type and content, chemical admixture and environmental conditions.

As aggregate maximum size increases, a reduction in water-cement ratio and slump, and the use of rounded aggregate and water reducing admixture will reduce the water demand.

On another side, if the cement content, slump, water-cement ratio, aggregate angularity, temperature, and a decrease in the proportion of the coarse aggregate to fine aggregate will increase water demand.

The amount of water content per unit volume of concrete may be determined from **Table 4.**

**The water content given in Table 4 is for angular coarse aggregate and for 50 mm slump.**

The water content given in Table 4 can be reduced by approximately 10 kg for sub-angular aggregates, 15 kg for gravel with some crushed particles and 20 kg for rounded gravel to produce same workability.

So, if required more workability means slump value **more than 50 mm**, the required water content may be increased or decreased by about **3 percent for each increase or decrease of 25 mm slump** or may be established by trial.

We have nominal maximum size of aggregate 20 mm.

From above table the **water content for nominal maximum size of aggregate is 186 kg (Liter). (Slump 50 mm)**

We want to increase slump up to 100 mm. so we have to increase it twice by 25 mm. As per IS code we have increase water by about 3 percent for every additional 25 mm slump so here estimated water content for 100 mm slump.

**For one 25 mm (3%) and second 25 mm (3%). Total increase in water content is 6%**

**= 186 + 186x(6/100)**

**= 197.16 Liters**

Note: Increase Water Content as per for following.

Slump Value | Increase in Water in % |

50 mm | – |

75 mm | 3 % |

100 mm | 6% |

125 mm | 9% |

150 mm | 12% |

**For 75 mm slump increase 3% , for 100 mm increase 6% , increase 9 % for 125 mm slump, increase 12 % for 150 mm slump & increase 15 % for 175 mm slump.**

**Concrete Mix Design as per IS Code – 10262 : 2019**

**Read More:** **Grade of Concrete â€“ Their Ratio, Uses & Suitability**

**Step â€“ 5: Estimation of Cement Content**

We have water content and water-cement ration. So, from this data we can calculate cement content for concrete,

**Water-Cement Ratio = 0.62**

**Water / Cement = 0.62**

**197.16 / Cement = 0.62**

**Cement = 197.16/0.62**

**Cement = 318 Kg.**

**From Table 5 of IS 456, minimum cement content for â€˜moderateâ€™ exposure conditions is 300 kg/mÂ³ but taken 318 kg/mÂ³ > 300 kg/mÂ³ hence ok.**

**Step â€“ **6**: Estimation of Coarse Aggregate Proportion**

It is essential to use the specified nominal maximum size, type and grading will produce concrete of satisfactory workability when a given volume of coarse aggregate per unit volume of total aggregate is used.

Approximate values for this aggregate volume are given in Table 5 for a water-cement/watercementitious materials ratio of 0.5, which may be suitably adjusted for other ratios, the proportion of volume of coarse aggregates to that of total aggregates is increased at the rate of 0.01 for every decrease in water-cement/cementitious materials ratio by 0.05 and decreased at the rate of 0.01 for each increase in water-cement ratio by 0.05.

Sometimes, it is required more workable concrete such when placement is by pump or when the concrete is required to be worked around congested reinforcing steel. In such a case, it is desirable to reduce estimated coarse aggregate content determined using Table 5 up to 10 percent.

**We have maximum size of aggregate = 20 mm and which confirming the zone â€“ II.**

As per table number 5 of IS 10262:2019 volume of coarse aggregate for 20 mm nominal size aggregate and fine aggregate (Zone III) for having water-cement ratio of 0.50 =0.62 (a)

**Concrete Mix Design as per IS Code – 10262 : 2019**

In the present case, the water-cement ratio is 0.62. Therefore, the volume of coarse aggregate is required to be decreased to increased the fine aggregate content. As the water-cement ratio is higher by 0.12. the proportion of the volume of coarse aggregate is decresed by 0.014 (at the rate of -/+ 0.01 for every Â± 0.05 change in the water-cement ratio).

**= 0.12/0.05 = 2.4 % decrease in coarse aggregate content**

**= 0.62 â€“ 0.62 x(2.4/100)**

**= 0.62 â€“ 0.014**

= 0.60

Therefore, corrected proportion of volume of coarse aggregate for the water-cement ratio of 0.62 = 0.60

or pumpable concrete these values should be reduced up to 10%.

**Therefore, Coarse aggregate Volume =0.60 x 0.9 =0.54**

**Fine Aggregate Volume = 1 â€“ 0.54 = 0.46**

**Concrete Mix Design as per IS Code – 10262 : 2019**

### Step – 7 **Mix Calculation for 1 mÂ³**

Material quantity calculation for concrete mix design as per IS Code – 10262 : 2019,

A) Volume of concrete = **1 mÂ³**

B) Volume of Air Content wet concrete = **0.01mÂ³**

C) Volume of cement = [Mass of cement] / {[Specific Gravity of Cement] x 1000}

**= 318/{3.15 x 1000} = 0.1 mÂ³**

D) Volume of water = [Mass of water] / {[Specific Gravity of water] x 1000}

**= 197.15/{1 x 1000} = 0.197 m**Â³

F) Volume of all in aggregate = [(A-B)-(C+D)]

**= [(1-0.01)-(0.100+0.197)]= 0.99-0.297**

**= 0.693 mÂ³**

G) Weight of coarse aggregate= E x Coarse Aggregate Volume x Specific Gravity of coarse Aggregate x 1000

**= 0.693 x 0.60 x 2.795 x 1000**

**= 1162.16 kg/mÂ³**

H) Weight of fine aggregate= E x Volume of Fine Aggregate x Specific Gravity of Fine Aggregate x 1000

**= 0.693 x 0.46 x 2.517 x 1000**

**= 802.36 kg/mÂ³**

**MIX Proportion by Volume**

Cement = 318 kg/mÂ³

Water = 197.15 Liter/mÂ³

Fine aggregate = 802.36 kg/mÂ³

Coarse aggregate 20 mm = 1162.16 x 60 %= 697.29 kg/mÂ³

Coarse aggregate 10 mm = 1162.16 x 40 %= 464.86 kg/mÂ³

Water-cement ratio = 0.62

**Weight of Materials for 1 Bag ( 50 kg) Bag of Cement**

We know that volume of 50 kg bag of cement is 0.035 mÂ³. so if we divide weight of cement for by volume of 1 bag of cement we will get number of bags of cement required for making 1 cubic meter of concrete.

Cement = 318 kg / 0.035 = **11.13 Nos. of Bags**

Now divide all other quanitity by 11.13 to get materials quantity for 50 kg or 1 bag of cement

Fine Aggregate (Sand) = 802.36 / 11.13 = **72.08 kg**

Coarse Aggregate ( 20 mm) = 697.29 / 11.13 = **62.64 kg**

Fine Aggregate (10 mm) = 464.86 / 11.13 = **41.76 kg**

Water = 197.15 / 11.13 = **17.71 liter.**

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## FAQ: **Concrete Mix Design Calculations**

### Q.1 **What is Concrete Mix Design?**

**Mix Design of Concrete** can be defined as the method of calculating a suitable quantity of materials of concrete and find out the required proportions with the object of producing concrete of certain minimum strength and durability as economically as possible.

### Q.2 How many bags of cement make 1m3 of concrete?

For making 1m3 of concrete, approximately 25 to 30 bags of cement requires depends on grade of concrete. As the grade of concrete increase nos. of cement bags also increased.

### Q.3 What is the mix ratio for the M 20 grade of concrete?

For M20 grade of concrete mix ratio is 1 part cement, 1.5 part Sand(fine aggregate), 3 part gravel (Coase aggregate)

### Q.4 What is IS code for concrete mix design?

The Bureau of Indian Standards recommended a set procedure for the design of concrete mix mainly based on the work done in national laboratories. TheÂ **Concrete Mix Design Calculation**Â procedure is covered in**Â IS 10262: 2019**.

### Q.5 What are the requirements of concrete mix design?

Requirements of concrete mix design are listed below:

1. Characteristic compressive strength of concrete

2. Nominal maximum size of aggregate used

3. Shape of Coarse Aggregate

4. Required workability at site

5. Quality control is done by as per IS: 456

6. Type of exposure Condition of concrete

7. Type of cement usedÂ

**Concrete Mix Design as per IS Code – 10262 : 2019**

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