# M30 Grade of Concrete Mix Design Calculation Procedure

M30 Grade of Concrete Mix Design Calculation Procedure is all about achieving target strength, water cement ratio and perfect proportions of Cement, Sand and Aggregate to produce a good concrete to achieve its target strength. Here we described the full procedure of M30 concrete mix design calculation, proportion and formula with ratio for M30 grade as per MoRTH and IS Codes

Page Contents

### Concrete Mix Design IS Code

For Concrete mix design we use MoRTH, IS 456 and IS 10262. For M30 concrete mix design we use the same IS Code.

## M30 Grade of Concrete Mix Design Procedure with OPC 53 Cement

#### REQUIRED DATA FOR M30 GRADE OF CONCRETE MIX DESIGN

Characteristic Compressive Strength : 30 Mpa
Maximum Size of Aggregate : 20 mm
Work-ability, Slump : 125 – 150 mm
Degree of Quality Control : Good
Type of Exposure as per MoRTH Table – 1700-2 : Severe
Minimum Target Mean Strength as per MoRTH Table: 1700-8 : 42 Mpa ( 30 + 12 )
Max. Water Cement Ratio as per MoRTH Clause – 1715.2 : 0.4
Minimum Cement Content as per MoRTH Clause – 1715.2 : 360 Kgs
Maximum Cement Content as per MoRTH Clause – 1715.2 : 450 Kgs

#### REQUIRED TEST DATA FOR MATERIALS FOR M30 GRADE OF CONCRETE MIX DESIGN

Type of Cement : OPC 53 Grade
Specific Gravity detais :
 Material Specific gravity Cement 3.15 Coarse Aggregate 20mm 2.885 Coarse Aggregate 12.5mm 2.857 Fine Aggregate 2.723

Water Absorption details
 Material Water Absorption Coarse Aggregate 20 mm 0.42% Coarse Aggregate 12.5 mm 0.47% Fine Aggregate 1.38%

### Calculation for Target Mean Strength

Target Mean Strength for M30 Grade of Concrete Mix Design as per MoRTH Table 1700-8 specification ( 5th revision )
Margine For M30 : 12 Mpa
30+12 = 42 Mpa

### Selection of Water Cement Ratio for M30 Grade of Concrete Mix design

Maximum Water Cement Ratio Permitted As per MoRTH Clause – 1715.2 : 0.40
W/c Ratio Selected As : 0.39

#### SELECTION OF WATER FOR M30 GRADE OF CONCRETE MIX DESIGN

Water Content as per Table 2 , of IS : 10262 2009 for 20 mm maximum size of aggregate is : 186 litre.
The above estimated water is suggested for a slump range of 25 to 50 mm in the above mentioned IS code. For each 25 mm increase in slump 3% water can be increased as per clause No. 4.2 IS 10262 : 2009
Required slump is 150 mm, so
for 50 mm slump water required = 186 litre
for 75 mm slump = 186 * 3% = 5.58 ltr
186 + 5.58 = 191.58 ltr.
for 100 mm slump = 186 * 6% = 11.16 ltr
186 + 11.16 = 197.16 ltr
for 125 mm slump = 186 * 9% = 16.74 ltr
186 + 16.74 = 202.74 ltr
for 150 mm slump = 186 * 12% = 22.32 ltr
186 + 22.32 = 208.32 ltr.
Hence water requirement calculated as : 208.32 ltr.
As Super plasticizer is used in the mix. The water content can be reduced up to 35 Percent and above as per IS: 10262 – 2009 Based on trials with Super plasticizer water content reduction of 21.51 percent has been Achieved with same dose.
: 140.0
Say 140.0
CEMENT CONTENT
Water Cement Ratio : 0.39
Hence Cement content : 140.0 / 0.39 = 358.97 Kg
Minimum cement content as per MORTH  – 360 kg/cum
Say : 360 Kg
Hence Cement Content : 360 Kg

#### PROPORTION OF VOLUME OF COARSE AND FINE AGGREGATE CONTENT FOR M30 GRADE OF CONCRETE MIX DESIGN

Hence Coarse aggregate content for MSA 20 mm : 60%
Sand content can be adopted Max. : 40%
Course Aggregate Proportions ( 20 mm : 10 mm ) : 50% : 50%

## M30 Grade of Concrete Mix Design Calculation Formula

We are describing formula of concrete mix design calcultion for M30 Grade of Concrete Mix Design but you can use this formula for any grade of concrete
Formula : Volume of material content = material weight / ( material specific gravity * total volume )
Volume of concrete = 1 Cu.M.
1 Cum = 1000 ltr ( in volume)
Volume calculation for materials:
Cement Content = 360 / 3.15 X 1000 = 0.114 Cu.M.
Water Content = 140 / 1.00 X 1000 = 0.140 Cu.M.
Admixture = 1.80 / 1.17 X 1000 = 0.0015 Cu.M.
Aggregate = 1- ( cement volume + water volume + admixture volume )
= 1 – ( 0.114 + 0.140 + 0.0015 ) = 0.745 Cu.M.
Now we got volume of each material for use in concrete.
Now convert material volume into weight.

### Convert Volume into Weight for Concrete Mix

This formula can be used for any grade of concrete mix design.
Formula = material weight = material volume * percentage of total volume * material sp. gravity * total volume.
Mass of coarse aggregates 20 mm = 0.745 X 0.60 X 0.50 X 2.885 X 1000 = 644.8 Kg.
Say : 645 Kg.
Mass of coarse aggregates 12.5 mm = 0.745 X 0.60 X 0.50 X 2.857 X 1000 = 638.5 kg
Say : 639 Kg.
Mass of fine aggregates = 0.745 X 0.40 X 1.00 X 2.723 X 1000 = 811.5 Kg
Say : 812 Kg

## Mix Proportion per CUM. for M30 Grade of Concrete Mix Design

Cement : 360 Kg
Water : 140 Kg
20 mm : 645 Kg
12.5 mm : 639 Kg
sand : 812 Kg
Dosage of admixture, by the Weight of Cement
0.45% of cement weight : 1.80 Kg
Note:
In moisture correction, Weights of Aggregate and water can be replaced by the weights of the free moisture on Aggregates.

### Concrete Mix Design Ratio for M30

M30 mix ratio – 1 : 2.5 : 3.5

## Trial Mix – 1, ( for M30 Grade Concrete Mix Design)

Trial mix is required to define the workability ( slump ), density, compaction and most of all compressive strength of the concrete different grades for various purpose.

We are describing here trial for M30 Grade of Concrete Mix Design, but you can use this trial procedure for any grade of concrete.

In this trial mix we design the following.

1. Water cement ratio
2. Proportion of cement, coarse aggregate, fine aggregate, water and admixture ( if required ).
3. Workability ( slump ).
4. Density
5. Compressive strength

### Concrete Cube Required for Trial Mix

To check the compressive strength of trial mix concrete we have to cast atleast 12 nos. of cubes.

 Age of Cube in days Nos of cube required 3 3 7 3 28 6

Total numbers of cubes – 12

You can increase the cube numbers for 3 days,  7 days or 28 days as per your requirement.

### Concrete Quantity Required for Trial Mix

Volume of 1 cube mould = 0.150 * 0.150 * 0.150 = 0.003375 cum.

so concrete quantity for 1 cube = 0.003375 cum.

concrete quantity for 12 cubes = 0.003375 * 12 = 0.0405 cum.

We should take little more quantity of concrete because of it will stick on trial mix drum and slump test purpose.

so assumed concrete quantity = 0.045 cum.

We should not take more quantity for concrete trial mix because it doesn’t mix properly.

#### Calculate the Material Weight for Trial

As we calculated materials weight before for one cum.
Cement : 360 Kg
Water : 140 Kg
20 mm : 645 Kg
12.5 mm : 639 Kg
sand : 812 Kg
Now we calculate the materials quantity for trial mix
cement = 360 * 0.045 = 16.2 kg
water = 140 * 0.045 = 6.3 kg
20 mm = 645 * 0.045 = 29.03 kg
12.5 mm = 639 * 0.045 = 28.76 kg
sand = 812 * 0.045 = 36.54 kg
admixture = 1.8 * 0.045 = 0.081 kg

## Trial Mix Procedure ( Important )

• Take the weights of all material as described above.
• After weighing materials, put coarse aggregates 20 mm and 12.5 mm first in trial mix drum.
• Now add fine aggregate ( sand ) in trial mix drum and then add the cement.
• Mix these materials in dry condition in drum for at least 30 seconds.
• Then add 80 to 90 % of water in drum in many parts by adding throughout the mix.
• It’s because, if mix will be full coated with water then it will not absorb admixture in it’s pores and now admixture will perform his best performance.
• Finish these steps within two minutes.
• Check if any dry mix sticked inside the surface of  drum, instantly remove it manually from surface by using trowel. Stop the drum mixture for maximum 10 seconds for this action and restart it again.
• Mix it for continuously 5 minutes.
• Check the workability.
• This is called initial slump. Note down.
• Don’t mix continuously the concrete mix otherwise mix will produce more heat and it causes decrease in the slump of concrete mix.
• Start the mixer at 5 minute interval for about 1 minute.

#### Requirement of Workability

As we described our requirement of slump is 125 – 150 mm at site.

You have to check slump after each 30 minute interval up to 120 minutes ( 2 hour ).

### Trial Mix Cube Casting Procedure

• Cube casting shall be done just after slump test after 2 hours.
• Cast the concrete cubes manually for better accuracy, don’t use the plate vibrator.
• Cast the concrete cubes by the same procedure as we cast usually.
• Cubes shall be casted in three layer and each layer’s thickness is 50 mm nearly.
• But strokes for each layer shall be between 35 to 45. No more difference for accurate result.
• Maintain the temperature of lab or room where trial cubes are going to be casted at 27 +/- 2 degree centigrade.
• After casting 12 numbers of trial cubes, place the casted cubes on a plane and firm platform. It should be vibration free place.
• Place cover sheet on top of each casted cubes to prevent water evaporation.
•  Leave it for 24 hours
• After 24 hours de-mould the trial cubes and give the identification by permanent marker. Do not use the nail to write on cubes.
• Place these trial cubes in water tank immediately, where water temperature shall be maintain at room temperature 27 +/- 2 degree centigrade.

## Compressive Strength of Trial Cubes for M30 Grade of Concrete Mix Design

As we described before, we casted 12 numbers of cube for compressive strength

3 cubes for 3 days

3 cubes for 7 days

and 6 cubes for 28 days.

• So after 3 days of casting cubes, take out three cubes from water tank.
• Bring these cubes to compressive testing machine and let it dry. We should test cubes at least in surface saturated dry condition.
• Before test the cubes set the rate of loading of compression testing machine at 5 KN per second.
• Place the cube carefully in compression testing machine in center position.
• Start the compression testing machine and go to ultimate load.
• Same like 3 days, we should test for 7 days and 28 days.

### Why Wet Cubes Get lower Strength than Dry Cubes

If cubes are dry more than SSD condition then, there is chance to get little bit more strength.

In wet condition or SSD condition, concrete cube’s pores are full of water and when you compress these cubes in compressive testing machine, water inside the cube works like hydrolic pressure from inside and this pressure helps to crack the cube earlier than dry cubes.

### Required Compressive Strength for Trial Cubes

As we described before that our target mean strength for M30 is 42 Mpa.

But for 3 days and 7 days we are giving below

minimum compressive strength required in 3 days – 40 % – 17 Mpa

minimum compressive strength required in 7 days –  80 % – 34 Mpa

### Trial Mix Result

1. Workability Result
 Initial Collapse After 30 minute 190 mm After 60 minute 170 mm After 90 minute 155 mm After 120 minute 140 mm

2. Compressive Strength Result

 Sr.no. Casting Date Cube ID Age of cube Testing Date Weight   (gm) Load (KN) Strength (N/mm2) Avg Strength 1 1- 03 -19 Trial Mix-01 3 days 4-03-19 8642 401.6 17.85 18.24 2 8603 397.4 17.66 3 8586 432.0 19.20 4 07 days 8-03-19 8598 781.7 34.74 34.92 5 8655 812.3 36.10 6 8670 763.2 33.92 7 28 days 29-03-19 8621 912.8 40.57 41.52 8 8639 953.0 42.36 9 8572 936.9 41.64 10 8640 929.4 41.31 41.43 11 8612 946.5 42.07 12 8648 920.6 40.92

So as you can see result above, we got good result in 3 days and 7 days but we didn’t get in 28 days. Average of 28 days strength is ( 41.52 + 41.43 ) / 2 = 41.48 N/mm2 .

Which is less than 42 MPa. As we described, as per MORTH 5th revision our requirement in 28 days for M30 is 42 MPa.

So now we are going to decrease water cement ratio a bit.

## Trial Mix – 2 ( for M30 Grade of Concrete Mix Design)

Previously we selected 0.39 water cement ratio, now we will do trial on 0.38.

Definitely compressive strength will increase while decreasing water cement ratio.

So we have to calculate our concrete mix design again on 0.38 water cement ratio because if you change water cement ratio then materials quantity will change too.

We are describing calculation in short here because we described before. If you are getting any doubt please scroll above for full details.
CEMENT CONTENT FOR M30 GRADE OF CONCRETE MIX DESIGN
Water Cement Ratio : 0.38
Hence Cement content : 140.0 / 0.38 = 368.42 Kg
Say : 368 Kg
Hence Cement Content : 368 Kg

Proportion of Coarse and fine aggregate will be same

Hence Coarse aggregate content for MSA 20 mm : 60%
Sand content can be adopted Max. : 40%
Course Aggregate Proportions ( 20 mm : 10 mm ) : 50% : 50%

#### Calculation for Materials Volume

Volume of concrete = 1 Cu.M.
1 Cum = 1000 ltr ( in volume)
Volume calculation for materials:
Cement Content = 368 / 3.15 X 1000 = 0.117 Cu.M.
Water Content = 140 / 1.00 X 1000 = 0.140 Cu.M.
Admixture = 1.80 / 1.17 X 1000 = 0.0015 Cu.M.
Aggregate = 1- ( cement volume + water volume + admixture volume )
= 1 – ( 0.117 + 0.140 + 0.0015 ) = 0.742 Cu.M.
Now we got volume of each material for use in concrete.
Now convert material volume into weight.

#### Convert Volume into Weight for Concrete Mix

Mass of coarse aggregates 20 mm = 0.742 X 0.60 X 0.50 X 2.885 X 1000 = 642.2 Kg.
Say : 642 Kg.
Mass of coarse aggregates 12.5 mm = 0.742 X 0.60 X 0.50 X 2.857 X 1000 = 636 kg
Say : 636 Kg.
Mass of fine aggregates = 0.742 X 0.40 X 1.00 X 2.723 X 1000 = 808.2 Kg
Say : 808 Kg

#### Mix Proportion per CUM. of M30 Grade of Concrete Mix Design

Cement : 368 Kg
Water : 140 Kg
20 mm : 642 Kg
12.5 mm : 636 Kg
sand : 808 Kg
Dosage of admixture, by the Weight of Cement
0.45% of cement weight : 1.80 Kg
Start the Trial Again with these detail described above
Now we calculate the materials quantity for trial mix
cement = 368 * 0.045 = 16.56 kg
water = 140 * 0.045 = 6.3 kg
20 mm = 642 * 0.045 = 28.89 kg
12.5 mm = 636 * 0.045 = 28.62 kg
sand = 808 * 0.045 = 36.36 kg
admixture = 1.8 * 0.045 = 0.081 kg

#### Trial Mix Procedure for M30 Grade of Concrete Mix Design

We are repeating the procedure because it’s very important tips for trial mix.

• Take the weights of all material as described above.
• After weighing materials, put coarse aggregates 20 mm and 12.5 mm first in trial mix drum.
• Now add fine aggregate ( sand ) in trial mix drum and then add the cement.
• Mix these materials in dry condition in drum for at least 30 seconds.
• Then add 80 to 90 % of water in drum in many parts by adding throughout the mix.
• It’s because, if mix will be full coated with water then it will not absorb admixture in it’s pores and now admixture will perform his best performance.
• Finish these steps within two minutes.
• Check if any dry mix sticked inside the surface of  drum, instantly remove it manually from surface by using trowel. Stop the drum mixture for maximum 10 seconds for this action and restart it again.
• Mix it for continuously 5 minutes.
• Check the workability.
• This is called initial slump. Note down.
• Don’t mix continuously the concrete mix otherwise mix will produce more heat and it causes decrease in the slump of concrete mix.
• Start the mixer at 5 minute interval for about 1 minute.

#### Requirement of Workability

As we described our requirement of slump is 125 – 150 mm at site.

We have to check slump after each 30 minute interval up to 120 minutes ( 2 hour ).

#### Trial Mix Cube Casting Procedure

We are repeating this because it’s very important tips for trial cube casting.

• Cube casting shall be done just after slump test after 2 hours.
• Cast the concrete cubes manually for better accuracy, don’t use the plate vibrator.
• Cast the concrete cubes by the same procedure as we cast usually.
• Cubes shall be casted in three layer and each layer’s thickness is 50 mm nearly.
• But strokes for each layer shall be between 35 to 45. No more difference for accurate result.
• Maintain the temperature of lab or room where trial cubes are going to be casted at 27 +/- 2 degree centigrade.
• After casting 12 numbers of trial cubes, place the casted cubes on a plane and firm platform. It should be vibration free place.
• Place cover sheet on top of each casted cubes to prevent water evaporation.
•  Leave it for 24 hours
• After 24 hours de-mould the trial cubes and give the identification by permanent marker. Do not use the nail to write on cubes.
• Place these trial cubes in water tank immediately, where water temperature shall be maintain at room temperature 27 +/- 2 degree centigrade.

#### Compressive Strength of Trial Cubes

As we described before, we casted 12 numbers of cube for compressive strength

3 cubes for 3 days

3 cubes for 7 days

and 6 cubes for 28 days.

• So after 3 days of casting cubes, take out three cubes from water tank.
• Bring these cubes to compressive testing machine and let it dry. We should test cubes at least in surface saturated dry condition.
• Before test the cubes set the rate of loading of compression testing machine at 5 KN per second.
• Place the cube carefully in compression testing machine in center position.
• Start the compression testing machine and go to ultimate load.
• Same like 3 days, we should test for 7 days and 28 days.

#### Required Compressive Strength for Trial Cubes

As we described before that our target mean strength for M30 is 42 Mpa.

But for 3 days and 7 days we are giving below

minimum compressive strength required in 3 days – 40 % – 17 Mpa

minimum compressive strength required in 7 days –  80 % – 34 Mpa

#### Trial Mix Result

1. Workability Result
 Initial Collapse After 30 minute 180 mm After 60 minute 165 mm After 90 minute 150 mm After 120 minute 135 mm

2. Compressive Strength Result

 Sr.no. Casting Date Cube ID Age of cube Testing Date Weight   (gm) Load (KN) Strength (N/mm2) Avg Strength 1 1- 04 -19 Trial Mix-02 3 days 4-04-19 8671 412.0 18.31 18.44 2 8622 430.4 19.13 3 8639 402.5 17.89 4 07 days 8-04-19 8706 800.6 35.58 35.83 5 8665 784.1 34.85 6 8614 833.7 37.05 7 28 days 29-04-19 8698 961.3 42.72 42.47 8 8627 947.4 42.11 9 8720 958.1 42.58 10 8679 970.4 43.13 42.50 11 8711 951.3 42.28 12 8632 946.9 42.08

So as you can see this result described above, we got good result in 3 days, 7 days and 28 days. Average of 28 days strength is ( 42.47 + 42.5 ) / 2 = 42.49 N/mm2 .

Which is greater than 42 MPa. As we described, as per MORTH 5th revision our requirement in 28 days for M30 is 42 MPa.

So now we got the perfect proportion for M30 grade of concrete.