Project on Concrete Mix Design for various grades of Concrete

Calculate the Concrete Mix Design for M35 grade concrete with fly ash & M50 grade concrete without Fly ash

Ans :-

AIM: To Calculate the Concrete Mix Design for M35 grade concrete with fly ash & M50 grade concrete without Fly ash

INTRODUCTION :- Concrete mix design is the method finding the precise proportion of cement, sand and aggregates for concrete to achieve the target strength in structures, therefore concrete mix design can be stated as concrete mix in terms of cement: sand: aggregates. The design is done according to the requirements of concrete strength. So, we can achieve the desirable properties of concrete either it is in fresh stage or in hardened stage. The fresh concrete properties like workability, setting time and hardened concrete properties like compressive strength, durability etc. are attained surely by this method. Use of additives like admixtures, retarders etc. other than basic ingredients are used to improve the properties of mix. This project consist of two parts, the first part deals with the design of M35 grade cement with fly ash as a part of it and second part is the design of M50 grade concrete without fly ash.

OBJECTIVE :- The objective of this project is to produce a mix design for M35 grade concrete containing fly ash and M50 grade concrete The mix will be prepared as per IS METHOD: Concrete mix proportioning guidelines from IS 10262.2009 and recommented guide lines from IS 10262:1982.

EQUATIONS USED :-

• Target mean strength: f'ck= fck +1.65 s

Where,

f'ck = target mean strength

fck = compressive strength at 28 days of concrete

S = standard deviation (IS 10262:2009, table -1)

• Volume of cement:- (mass of cement /specfic gravity of cement )x1 /1000
• Volume of water:- (mass of water /specific gravity of water) x1 /1000
• Volume of chemical admixtures:- (mass of chemical admixture / specific gravity of chemical admixture )x 1/1000
• Volume of fly ash:-(mass of fly ash/specific gravity of fly ash )x 1/1000
• Volume of concrete :- 1 m^3
• Volume of aggregates :- (volume of concrete -(volume of cement +volume of fly ash + volume of water + volume of admixture
• Mass of coarse aggregates :- volume of aggregate x volume of coarse aggregate x specific gravity of coarse aggregate x1000
• Mass of fine aggregate :- volume of aggregate x volume of fine aggregate x specific gravity of fine aggregate x1000

CODES FOR CONCRETE MIX DESIGN :-

• IS 10262: 2009
• IS 456: 2000
• IS 8112
• IS 9103
• IS 3812 (part 1)

Part 1 : To calculate concrete mix design for M35 grade concrete with fly ash :

Step 1 : Stipulations for concrete mix design

• Grade Designation : M35
• Type of cement : OPC 43 Grade confirming to IS 8112
• Type of mineral admixture : Fly ash confirming to IS 3812 (Part 1)
• Maximum nominal size of aggregate : 20 mm
• Minimum cement content : 320 kg/m³ (Table 5 of IS 456:2000-Exposure condition)
• Maximum water-cement ratio : 0.45 (Table 5 of IS 456:2000 Exposure condition)
• Workability : 100 mm (slump value for pumpable concrete)
• Exposure condition : Severe (For Reinforced Concrete)
• Method of concrete placing : Pumping
• Degree of supervision : Good
• Type of aggregate : Crushed Angular Aggregates
• Maximum cement content : 450 kg/m³
• Chemical admixture type : Super Plasticizer

Step 2 : Test data for materials

• Cement used : OPC 43 Grade conforming IS 8112
• Specific gravity of cement : 3.15
• Fly ash : confirming to IS 3812 (Part 1)
• Specific gravity of fly ash : 2.2
• Chemical admixture : Super Plasticizer conforming to IS 9103
• Specific gravity of coarse aggregate : 2.74
• Specific gravity of fine aggregate : 2.74
• Water absorption of coarse aggregate : 0.5%
• Water absorption of fine aggregate : 1.0%
• Free surface moisture of Coarse aggregate : Nil
• Free surface moisture of Coarse aggregate : Nil
• Sieve analysis Coarse aggregate : Conforming to Table 2 of IS 383
• Sieve analysis Fine aggregate : Conforming to Grading Zone II of Table 4 of IS 383

Step 3 : Target strength for mix proportioning

f'ck=fck + 1.65s

Where,

f'ck = target average compressive strength at 28 days

 fck = characteristics compressive strength at 28 days, and

35 + 1.65 x 5 = 43.25 N/mm²

s = standard deviation

From Table I of IS 10262:2009, Standard Deviation, s = 5 N/mm².

Target mean strength = 43.25 N/mm²

Step 4 : Selection of Water – Cement ratio

The maximum water-cement ratio to design M50 grade concrete can be found from Table 5 of IS 456-2000

Maximum W/C ratio=0.45

Based on experience water cement ratio is 0.44

0.44 < 0.45, hence ok

Adopted W/C ratio=0.44

Step 5 : Selection of water content

From Table 2 of IS 10262:2009, maximum water content for 20 mm aggregate : 186 litre (for 25 to 50 mm slump range)

Clause 4.2 suggests increasing of 3% of water content for every extra 25mm slump from 50mm slump. So a 6% is to be added to it. Estimated water content for 100 mm slump : 186+ (6/100)+186 = 197 litre.

(Note: If Super plasticizer is used, the water content can be reduced up to 20% and above.)

Based on trials with Super plasticizer water content reduction of 20% has been achieved, Hence the arrived water content : 197 * 0.8 = 158 litre

Water required = 158 litre

Step 6 : Calculation of cement & fly ash required

Adopted w/c Ratio : 0.44

Total cementitious (Cement + fly ash)requirement = Water content/ Water Cement ratio

158/0.44 = 359 kg/m³

The cementitious content has to be increased in order to attain good workability and strength. The increment required is determined on the basis of experience and research. Here we are increasing cementitious content by 10%

Final cementitious content : 359 X 1.10 = 395 kg

From Table 5 of IS 456, Minimum cement content for 'Severe' exposure conditions : 320 kg

395 kg/m³ > 320 kg/m³  hence ok.

Cementitious material content : 395

New water cement ratio : 158/395 =0.4

Fly ash content is taken as 30% of the total cementitious content : 395 X0. 3 = 118.5 kg/m³

Cement required : 395 - 118 = 277 kg/m³

Cement quantity saved due to fly ash addition : 350-277= 73 kg/m³

Cementitious material, cement and fly ash required is 395 kg/m³, 277 kg/m³ and 118 kg/m³ and the new water cement ratio is 0.4 respectively

Step 7 : Volume of F.A and C.A content

From Table 3 of (IS 10262:2009) volume of coarse aggregate corresponding to 20 mm size aggregate and fine aggregate (Zone 11) 0.62. for water-cement ratio of 0.50 is : 0.62

In the present case water-cement ratio is 0.44. Therefore, volume of coarse aggregate is required to be increased t decrease the fine aggregate content. As the water-cement ratio is lower by 0.06. The proportion of volume of coars aggregate is increased by 0.02 (at the rate of -/+ 0.01 for every + 0.05 change in water-cement ratio)

Therefore, corrected proportion of volume of coarse aggregate for the water-cement ratio of 0.44 is : 0.632

For pumpable concrete these values should be reduced up to 10%. Therefore, volume of coarse aggregate : 0.632 x 0.9  = 0.568.

Volume of fine aggregate content = 1-0.568 =  0.431

Volume of fine aggregate and coarse aggregate is 0.431 and.568

Step 8 : Mix Calculation

The mix calculations as per unit volume of concrete shall be as follows:

•  Volume of concrete : 1m³
• Volume of cement = [Mass of cement] / [Specific Gravity of Cement] x 1/1000

                                    = (277/3.15)(1/1000) = 0.087m ^ 3

• Volume of fly ash = [Mass of fly ash] / [Specific Gravity of fly ash] x 1/1000

                                  = (118/2.2)(1/1000) = 0.053

• Volume of water = [Mass of water] / [Specific Gravity of water] x 1/1000

                                 = (158/1)(1/1000) = 0.158m ^ 3

• Volume of chemical admixture = [Mass of admixture] / [Specific Gravity of admixture] x 1/1000

                                                       = (7.6/1.145)(1/1000) = 0.006m ^ 3

• Volume of all in aggregate = [a-(b+c+d+e)]

                                                 = [ 1-(0.087+0.053+0.158+0.006)]=0.696m^ 3

• Mass of coarse aggregate= f * Volume of Coarse Aggregate * Specific Gravity of Fine Aggregate *1000

                                              = 0.696x 0.568 x 274 x 1000 = 1077 kg/m³

• Mass of fine aggregate= f * Volume of Fine Aggregate * Specific Gravity of Fine Aggregate * 1000

                                         = 0.696x 0.431x 274 x 1000 = 822 kg/m³

Step 9 : Mix Proportions

• Cement : 277 kg/m³
• Fly ash : 118 kg/m³
• Water : 158 lit/m³
• Fine aggregate : 822 kg/m³
• Coarse aggregate 20mm : 1077 kg/m³
• Chemical admixture : 7.18 kg/m³
• Water-cement ratio (lowest W/C ratio is selected) : 0.44
• Mix Proportion By weight : 1:2.08:2.72

Step 10: The slump shall be measured, the water content and dosage of admixture shall be adjusted for achieving the required slump on trial: The mix proportion shall be reworked for the actual water content and checked for durability requirements

Step 11: Two more trials having variation of 10% of water-cement ratio shall be carried out and a graph between thr water-cement ratios and corresponding strengths shall be plotted to work out the mix proportions for the given target for field trials.

Part 2 : To calculate concrete mix design for M50 grade concrete without fly ash :

Step 1 : Stipulations for concrete mix design

• Grade Designation : M50
• Type of cement : OPC 53 Grade confirming to IS BIS 12269-1987
• Maximum nominal size of aggregate : 20 mm
• Minimum cement content : 320 kg/m³ (Table 5 of IS 456:2000-Exposure condition)
• Maximum water-cement ratio : 0.45 (Table 5 of IS 456:2000 Exposure condition)
• Workability : 100 mm (slump value for pumpable concrete)
• Exposure condition : Severe (For Reinforced Concrete)
• Method of concrete placing : Pumping
• Degree of supervision : Good
• Type of aggregate : Crushed Angular Aggregates
• Maximum cement content : 450 kg/m³
• Chemical admixture type : Super Plasticizer

Step 2 : Test data for materials

• Cement used : OPC 53 Grade confirming to IS BIS 12269-1987
• Specific gravity of cement : 3.15
• Specific gravity of fly ash : 2.2
• Chemical admixture : Super Plasticizer conforming to IS 9103
• Specific gravity of coarse aggregate : 2.74
• Specific gravity of fine aggregate : 2.64
• Water absorption of coarse aggregate : 0.5%
• Water absorption of fine aggregate : 1.0%
• Free surface moisture of Coarse aggregate : Nil
• Free surface moisture of Coarse aggregate : Nil
• Sieve analysis Coarse aggregate : Conforming to Table 2 of IS 383
• Sieve analysis Fine aggregate : Conforming to Grading Zone II of Table 4 of IS 383

Step 3 : Target strength for mix proportioning

f'ck=fck + 1.65s

Where,

f'ck = target average compressive strength at 28 days

 fck = characteristics compressive strength at 28 days, and

50 + 1.65 x 5 = 58.25 N/mm²

s = standard deviation

From Table I of IS 10262:2009, Standard Deviation, s = 5 N/mm².

Target mean strength = 58.25 N/mm²

Step 4 : Selection of Water – Cement ratio

The maximum water-cement ratio to design M50 grade concrete can be found from Table 5 of IS 456-2000

Maximum W/C ratio=0.45

Based on experience water cement ratio is 0.44

0.44 < 0.45, hence ok

Adopted W/C ratio=0.44

Step 5 : Selection of water content

From Table 2 of IS 10262:2009, maximum water content for 20 mm aggregate : 186 litre (for 25 to 50 mm slump range)

Clause 4.2 suggests increasing of 3% of water content for every extra 25mm slump from 50mm slump. So a 6% is to be added to it. Estimated water content for 100 mm slump : 186+ (6/100)+186 = 197 litre.

(Note: If Super plasticizer is used, the water content can be reduced up to 20% and above.)

Based on trials with Super plasticizer water content reduction of 20% has been achieved, Hence the arrived water content : 197 * 0.8 = 158 litre

Water required = 158 litre

Step 6 : Calculation of cement

Adopted w/c Ratio : 0.44

Cement content : 158/.44 = 359 kg/ m³

From Table 5 of IS 456, Minimum cement content for 'Severe' exposure conditions : 320 kg

359 kg/m³ > 320 kg/m³  hence ok.

Cement Required is 359 kg/ m³

Step 7 : Volume of F.A and C.A content

From Table 3 of (IS 10262:2009) volume of coarse aggregate corresponding to 20 mm size aggregate and fine aggregate (Zone 11) 0.62. for water-cement ratio of 0.50 is : 0.62

In the present case water-cement ratio is 0.44. Therefore, volume of coarse aggregate is required to be increased t decrease the fine aggregate content. As the water-cement ratio is lower by 0.06. The proportion of volume of coars aggregate is increased by 0.02 (at the rate of -/+ 0.01 for every + 0.05 change in water-cement ratio)

Therefore, corrected proportion of volume of coarse aggregate for the water-cement ratio of 0.44 is : 0.632

For pumpable concrete these values should be reduced up to 10%. Therefore, volume of coarse aggregate : 0.632 x 0.9  = 0.568.

Volume of fine aggregate content = 1-0.568 =  0.431

Volume of fine aggregate and coarse aggregate is 0.431 and.568

Step 8 : Mix Calculation

The mix calculations as per unit volume of concrete shall be as follows:

•  Volume of concrete : 1m³
• Volume of cement = [Mass of cement] / [Specific Gravity of Cement] x 1/1000

                                           = (359/3.15)(1/1000) = 0.114m ^ 3

• Volume of water = [Mass of water] / [Specific Gravity of water] x 1/1000

                                 = (158/1)(1/1000) = 0.158m ^ 3

• Volume of chemical admixture = [Mass of admixture] / [Specific Gravity of admixture] x 1/1000

                                                       = (7.6/1.145)(1/1000) = 0.006m ^ 3

• Volume of all in aggregate = [a-(b+c+d+e)]

                                                 = [ 1-(0.114+0.053+0.158+0.006)]=0.722m^ 3

• Mass of coarse aggregate= f * Volume of Coarse Aggregate * Specific Gravity of Fine Aggregate *1000

                                              = 0.722x 0.568 x 274 x 1000 = 1123 kg/m³

• Mass of fine aggregate= f * Volume of Fine Aggregate * Specific Gravity of Fine Aggregate * 1000

                                         = 0.722x 0.431x 274 x 1000 = 821 kg/m³

Step 9 : Mix Proportions

• Cement : 359 kg/m³
• Water : 158 lit/m³
• Fine aggregate : 821 kg/m³
• Coarse aggregate 20mm : 1123 kg/m³
• Chemical admixture : 7.18 kg/m³
• Water-cement ratio (lowest W/C ratio is selected) : 0.44
• Mix Proportion By weight : 1:2.28:3.12

Step 10: The slump shall be measured, the water content and dosage of admixture shall be adjusted for achieving the required slump on trial: The mix proportion shall be reworked for the actual water content and checked for durability requirements

Step 11: Two more trials having variation of 10% of water-cement ratio shall be carried out and a graph between thr water-cement ratios and corresponding strengths shall be plotted to work out the mix proportions for the given target for field trials.