# Concrete Mix Design Calculation for M40, M60 as per IS Code | Grade of Concrete

Concrete mix design calculation is all about finding perfect proportions of Cement, Sand and Aggregate to produce a good concrete to achieve its target strength. Here we described the full procedure of concrete mix design calculation and formula with ratio for M40 and M60 grade of concrete as per IS Codes and MORTH.

## CONCRETE MIX DESIGN CALCULATION PROCEDURE

#### CONCRETE MIX DESIGN CODE

For Concrete mix design we use MoRTH, IS 456 and IS 10262. ## M40 GRADE OF CONCRETE MIX DESIGN PROCEDURE WITH OPC 53 GRADE CEMENT

#### REQUIRED DATA FOR CONCRETE MIX DESIGN CALCULATION

Characteristic Compressive Strength                                        :      40 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 : 52 Mpa (40+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

Type of Cement                                             :      OPC 53 Grade

Specific Gravity Details of Materials:

Cement                                                           :       3.15

Coarse Aggregate 20mm                              :      2.885

Coarse Aggregate 12.5mm                             :      2.857

Fine Aggregate                                                :      2.723

Water Absorption Details of Materials:

Coarse Aggregate 20 mm                             :      0.42%

Coarse Aggregate 12.5 m                             :      0.47%

Fine Aggregate                                              :      1.38%

### CALCULATION FOR TARGET MEAN STRENGTH

Target Mean Strength as per MoRTH   Table 1700-8 specification ( 5th revision )

Margine For M40                    :       12   Mpa

:       40+12   = 52 Mpa

### SELECTION OF FREE WATER CEMENT RATIO

Maximum Water Cement Ratio Permitted As per MoRTH Clause – 1715.2         :     0.40

W/c Ratio Selected As                                                                                          :     0.35

### SELECTION OF WATER

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                               :       0.35

Hence   Cement content                        :       140.0 / 0.35 =   400.00 Kg

Say                                                            :        400 Kg

Hence Cement Content                       :         400 Kg

### PROPORTION OF VOLUME OF COARSE AND FINE AGGREGATE CONTENT

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%

### CONCRETE MIX DESIGN CALCULATION FORMULA

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 of Materials:

Cement Content = 400 / 3.15 X 1000   =  0.127 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 – ( 0.127 + 0.140 + 0.0015 )  =   0.731 Cu.M.

Now we got volume of each material for use in concrete.

Now convert material volume into weight.

### FORMULA TO CONVERT VOLUME INTO WEIGHT FOR CONCRETE MIX

Formula = material weight = material volume * percentage of total volume * material sp. gravity * total volume.

Mass of coarse aggregates 20 mm  =  0.731 X 0.60 X 0.50 X 2.885 X 1000  = 633.1 Kg.

Say  :  633 Kg.

Mass of coarse aggregates 12.5 mm =  0.731 X 0.60 X 0.50 X 2.857 X 1000  = 626.9 kg

Say  :  627 Kg.

Mass of fine aggregates  =  0.731 X 0.40 X 1.00 X 2.723 X 1000  = 796.73 Kg

Say  : 797 Kg

### MIX PROPORTION PER CUM. FOR M40 GRADE OF CONCRETE

Cement          : 400 Kg

Water             : 140 Kg

20 mm            : 633 Kg

12.5 mm         : 627 Kg

sand                : 797 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 M40

M40 mix ratio –  1 : 2 : 3

## M60 GRADE OF CONCRETE DESIGN MIX PROCEDURE WITH OPC 53 GRADE CEMENT AND ALCCOFINE

#### REQUIRED DATA FOR CONCRETE MIX DESIGN CALCULATION

Characteristic Compressive Strength                                         :      60 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  :  74 Mpa  ( 60 + 14 )

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

Type of Cement                                                                           :      OPC 53 Grade

Specific gravity values

Cement                                                        :       3.15,

Alccofine                                                     :      2.86,

Coarse Aggregate 20 mm                          :      2.88,

Coarse Aggregate 12.5 mm                        :      2.85,

Fine Aggregate                                              :      2.72,

Water absorption values

Coarse Aggregate 20 mm                         :      0.20%,

Coarse Aggregate 12.5 m                          :      0.09%,

Fine Aggregate                                            :      0.55%.

#### CALCULATION FOR TARGET MEAN STRENGTH

Target Mean Strength as per MoRTH   Table 1700-8 specification ( 5th revision )

Margine For M60                    :       14   Mpa

:       60+14   = 74 Mpa

#### SELECTION OF FREE WATER CEMENT RATIO

Maximum Water Cement Ratio Permitted As per MoRTH Clause – 1715.2         :     0.40

W/c Ratio Selected As                                                                        :     0.31

SELECTION OF WATER

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 30.06 percent has been Achieved with same dose.

:      145.7 ltr

Say       146.0 ltr.

#### MIX DESIGN MARGIN FOR EACH GRADE

CEMENTITIOUS CONTENT

Water Cementitious Ratio                               :       0.31

Hence Cementitious material content           :       145.7 / 0.31 =   470.00 Kg

Say                                                                     :        470 Kg

Hence Cementitious Content                         :        470 Kg

#### PROPORTION OF VOLUME OF COARSE AND FINE AGGREGATES CONTENT

Hence Coarse aggregate content for MSA 20 mm      :       60%

Sand content can be adopted Max.                               :       40%

Course Aggregate Proportions  ( 20 mm : 10 mm )       :       45%  :   55%

#### CONCRETE MIX DESIGN CALCULATION FORMULA

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 of Cement Content = 450 / 3.15 X 1000   =  0.143 Cu.M.

then,

Volume of Alccofine = 20 / 2.86 X 1000   =  0.007 Cu.M.

then,

Volume of Water Content = 146 / 1.00 X 1000   =  0.146 Cu.M.

then,

Volume of Admixture = 3.67 / 1.17 X 1000  =  0.0031 Cu.M.

Now,

Aggregate = 1- ( cement volume + water volume + admixture volume )

= 1 – ( 0.143 + 0.007 + 0.146 + 0.0031 )  =   0.701 Cu.M.

Now we got volume of each material for use in concrete.

Now convert material volume into weight.

#### FORMULA TO CONVERT VOLUME INTO WEIGHT FOR CONCRETE MIX

Formula = material weight = material volume * percentage of total volume * material sp. gravity * total volume.

Mass of coarse aggregates 20 mm  =  0.701 X 0.60 X 0.45 X 2.88 X 1000  = 545.3 Kg.

Say  :  545 Kg.

Mass of coarse aggregates 12.5 mm =  0.701 X 0.60 X 0.55 X 2.85 X 1000  = 659.6 kg

Say  :  660 Kg.

Mass of fine aggregates  =  0.701 X 0.40 X 1.00 X 2.72 X 1000  = 763.03 Kg

Say  : 763 Kg

#### CONCRETE MIX PROPORTION PER CUM. FOR M60 GRADE OF CONCRETE

Cement          : 450 Kg

Water             : 140 Kg

Alccofine        : 20 Kg

20 mm            : 545 Kg

12.5 mm         : 660 Kg

sand                : 763 Kg

Dosage of admixture, by the Weight of Cement

0.78%  of cement weight  :        3.67 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 M60

M60 mix ratio –  1 : 1.5 : 2.5

Click here for consistency test of cement by vicat apparatus