This document provides a concrete mix design calculation for M50 grade concrete. It includes the materials used, design stipulations, test data, target mean strength calculation, selection of water-cement ratio, and determination of cement, water, fine aggregate, and coarse aggregate quantities. Testing of the mix showed it was cohesive and homogeneous with a 120mm slump. Compressive strengths from cube testing exceeded the target strength at both 7 and 28 days.

1. CALCULATION OF
CONCRETE MIX
DESIGN
MATERIAL GRADUATION PROJECT : 2017
Civil dept. – faculty of engineering – Mansoura university

2. Grade = M 25
C1.Design stipulation:
i CharacteristicCompressive strength = 25 N/mm2
ii Maximum size of aggregate = 20 mm
iii Degree of workability = 0.8
iv Degree of quality = Good
v Type of Exposure = Mild
C2. Test dataformaterials
(i) Cement used = PPC
(ii) Specificgravity of Cement = 3
(iii) Specificgravity
Fine Aggregate = 2.8
Coarse Aggregate = 2.61
(iv) Water absorption
Fine Aggregate = 2.1 %
Coarse Aggregate = 0.78 %
(v) Free Surface Moisture
Fine Aggregate = 2.1 %
Coarse Aggregate = Nil %
(vi) Fine Aggregate confirming the table 4,
IS 383- Zone
= 3 Zone
C3.Target mean strength
= 31.60 N/mm2
C4. Selection of WaterCement ratio
Water Cement ratio = 0.44 (From fig. 1, Is 10262)
C7. Determination of Fine & Coarse aggregate
Air entrapped in concrete = 2 % (From Table 3, IS 10262)
Actual quantity of concrete "V" = 0.98 Cum
Grade M 25
Concrete quantity = 1 Cum
Sl.
No
Material name Unit
1 Cement kg
2 Fine Aggregate kg
3 Coarse Aggregate 20mm kg
4 Coarse Aggregate 10mm kg Prepared by,
5 Water ltr
6 Slump mm
7 W/C ratio +918894770272
473.14
183.63
75- 100
0.44
Materials required for concrete
Quantity
422.73
565.72
Mix Design for Concrete
Sathiyaseelan
709.71
Prepared By :
Rewais Fakeih

3. Grade = M 30
C1.Design stipulation:
i Characteristic Compressive strength = 30 N/mm2
ii Maximum size of aggregate = 20 mm
iii Degree of workability = 0.8
iv Degree of quality = Good
v Type of Exposure = Mild
C2. Test datafor materials
(i) Cement used = PPC
(ii) Specific gravity of Cement = 3
(iii) Specific gravity
Fine Aggregate = 2.8
Coarse Aggregate = 2.61
(iv) Water absorption
Fine Aggregate = 2.1 %
Coarse Aggregate = 0.78 %
(v) Free Surface Moisture
Fine Aggregate = 2.1 %
Coarse Aggregate = Nil %
(vi) Fine Aggregate confirming the table 4,
IS 383- Zone
= 3 Zone
C3.Target mean strength
= 38.25 N/mm2
C4. Selection of Water Cement ratio
Water Cement ratio = 0.44 (From fig. 1, Is 10262)
C7. Determination of Fine & Coarse aggregate
Air entrapped in concrete = 2 % (From Table 3, IS 10262)
Actual quantity of concrete "V" = 0.98 Cum
Grade M 30
Concrete quantity = 1 Cum
Sl.
No
Material name Unit
1 Cement kg
2 Fine Aggregate kg
3 Coarse Aggregate 20mm kg
4 Coarse Aggregate 10mm kg Prepared by,
5 Water ltr
6 Slump mm
7 W/C ratio +918894770272
473.14
183.63
75- 100
0.44
Materials required for concrete
Quantity
422.73
565.72
Mix Design for Concrete
Sathiyaseelan
709.71
Prepared By :
Rewais Fakeih

4. Grade = M 35
C1.Design stipulation:
i CharacteristicCompressive strength = 35 N/mm2
ii Maximum size of aggregate = 20 mm
iii Degree of workability = 0.8
iv Degree of quality = Good
v Type of Exposure = Mild
C2. Test datafor materials
(i) Cement used = PPC
(ii) Specificgravity of Cement = 3
(iii) Specificgravity
Fine Aggregate = 2.8
Coarse Aggregate = 2.61
(iv) Water absorption
Fine Aggregate = 2.1 %
Coarse Aggregate = 0.78 %
(v) Free Surface Moisture
Fine Aggregate = 2.1 %
Coarse Aggregate = Nil %
(vi) Fine Aggregate confirming the table 4,
IS 383- Zone
= 3 Zone
C3.Target mean strength
= 43.25 N/mm2
C4. Selection of Water Cement ratio
Water Cement ratio = 0.44 (From fig. 1, Is 10262)
C7. Determination of Fine & Coarse aggregate
Air entrapped in concrete = 2 % (From Table 3, IS 10262)
Actual quantity of concrete "V" = 0.98 Cum
Grade M 35
Concrete quantity = 1 Cum
Sl.
No
Material name Unit
1 Cement kg
2 Fine Aggregate kg
3 Coarse Aggregate 20mm kg
4 Coarse Aggregate 10mm kg Prepared by,
5 Water ltr
6 Slump mm
7 W/C ratio +918894770272
473.14
183.63
75- 100
0.44
Materials required for concrete
Quantity
422.73
565.72
Mix Design for Concrete
Sathiyaseelan
709.71
Prepared By :
Rewais Fakeih

5. Grade = M 40
C1.Design stipulation:
i CharacteristicCompressive strength = 40 N/mm2
ii Maximum size of aggregate = 20 mm
iii Degree of workability = 0.8
iv Degree of quality = Good
v Type of Exposure = Mild
C2. Test datafor materials
(i) Cement used = PPC
(ii) Specificgravity of Cement = 3
(iii) Specificgravity
Fine Aggregate = 2.8
Coarse Aggregate = 2.61
(iv) Water absorption
Fine Aggregate = 2.1 %
Coarse Aggregate = 0.78 %
(v) Free Surface Moisture
Fine Aggregate = 2.1 %
Coarse Aggregate = Nil %
(vi) Fine Aggregate confirming the table 4,
IS 383- Zone
= 3 Zone
C3.Target mean strength
= 48.25 N/mm2
C4. Selection of Water Cement ratio
Water Cement ratio = 0.44 (From fig. 1, Is 10262)
C7. Determination of Fine & Coarse aggregate
Air entrapped in concrete = 2 % (From Table 3, IS 10262)
Actual quantity of concrete "V" = 0.98 Cum
Grade M 40
Concrete quantity = 1 Cum
Sl.
No
Material name Unit
1 Cement kg
2 Fine Aggregate kg
3 Coarse Aggregate 20mm kg
4 Coarse Aggregate 10mm kg Prepared by,
5 Water ltr
6 Slump mm
7 W/C ratio +918894770272
473.14
183.63
75- 100
0.44
Materials required for concrete
Quantity
422.73
565.72
Mix Design for Concrete
Sathiyaseelan
709.71
Prepared By :
Rewais Fakeih

6. CALCULATION OF
CONCRETE MIX DESIGN EXAMPLE – M50 GRADE CONCRETE
Grade Designation = M-50
Type of cement = O.P.C-43 grade
Brand of cement = Vikram ( Grasim )
Admixture = Sika [Sikament 170 ( H ) ]
Fine Aggregate = Zone-II
Sp. Gravity
Cement = 3.15
Fine Aggregate = 2.61
Coarse Aggregate (20mm) = 2.65
Coarse Aggregate (10mm) = 2.66
Minimum Cement (As per contract) =400 kg / m3
Maximum water cement ratio (As per contract) = 0.45
Concrete Mix Design Calculation: –
1. Target Mean Strength = 50 + ( 5 X 1.65 ) = 58.25 Mpa
2. Selection of water cement ratio:
Assume water cement ratio = 0.35
3. Calculation of water content:
Approximate water content for 20mm max. Size of aggregate = 180 kg /m3
(As per Table No. 5 , IS : 10262 ). As plasticizer is proposed we can reduce
water content by 20%.
Now water content = 180 X 0.8 = 144 kg /m3

7. 4. Calculation of cement content:
Water cement ratio = 0.35
Water content per m3 of concrete = 144 kg
Cement content = 144/0.35 = 411.4 kg / m3
Say cement content = 412 kg / m3 (As per contract Minimum cement content
400 kg / m3 )
Hence O.K.
5. Calculation of Sand & Coarse Aggregate Quantities:
Volume of concrete = 1 m3
Volume of cement = 412 / ( 3.15 X 1000 ) = 0.1308 m3
Volume of water = 144 / ( 1 X 1000 ) = 0.1440 m3
Volume of Admixture = 4.994 / (1.145 X 1000 ) = 0.0043 m3
Total weight of other materials except coarse aggregate = 0.1308 + 0.1440
+0.0043 = 0.2791 m3
Volume of coarse and fine aggregate = 1 – 0.2791 = 0.7209 m3
Volume of F.A. = 0.7209 X 0.33 = 0.2379 m3 (Assuming 33% by volume of
total aggregate )
Volume of C.A. = 0.7209 – 0.2379 = 0.4830 m3
Therefore weight of F.A. = 0.2379 X 2.61 X 1000 = 620.919 kg/ m3
Say weight of F.A. = 621 kg/ m3
Therefore weight of C.A. = 0.4830 X 2.655 X 1000 = 1282.365 kg/ m3
Say weight of C.A. = 1284 kg/ m3
Considering 20 mm: 10mm = 0.55: 0.45
20mm = 706 kg .
10mm = 578 kg .
Hence Mix details per m3
Increasing cement, water, admixture by 2.5% for this trial

8. Cement = 412 X 1.025 = 422 kg
Water = 144 X 1.025 = 147.6 kg
Fine aggregate = 621 kg
Coarse aggregate 20 mm = 706 kg
Coarse aggregate 10 mm = 578 kg
Admixture = 1.2 % by weight of cement = 5.064 kg.
Water: cement: F.A.: C.A. = 0.35: 1: 1.472: 3.043
Observations from Concrete Mix Design: –
A. Mix was cohesive and homogeneous.
B. Slump = 120 mm
C. No. of cube casted = 9 Nos.
7 days average compressive strength = 52.07 MPa.
28 days average compressive strength = 62.52 MPa which is greater than
58.25MPa
Hence the mix accepted.
Percentage strength of concrete at various ages :-
The strength of concrete increases with age. Table shows the strength of
concrete different ages in comparison with the strength at 28 days.
Age strength percent :-
1 day ..... 16%
3 days .... 40%
7 days ..... 65%
14 days ..... 90%
28 days .... 99%
Prepared By :
Rewais Fakeih