QUESTION 1
C2S
C3S
C3A
C4AF
3 to 5% Gypsum
Maximum 7.5% of mineral additions (fly ash and/or GGBFS)
Maximum 5% of other inorganic minor constituents (kiln dust)
Hydrates:
C2S and C3S produce CSH and Calcium Hydroxides
C3A and Gypsum produce AFm phases: monosulfoalumnates
C4AF and Gypsum produce AFm phases: Tetracalcium Hydrates
a – H2O
b – CO2
c – CaCO3
d – Low quartz
e – Free Lime
f - Belite
g – Alite
Generally, when the clinker is removed from the kiln, its temperature is around 1200 degrees Celcius. Therefore, it needs to be immediately cooled for the following reasons,
The mandatory component added during the grinding process of the clinker is calcium sulphate. The material is added in the range of 3-5% by weight. This is mandatory because it helps in controlling the chemical reactions happening in the cement and controlling the hardening process of the materials when water is mixed with it and the entire batch is transferred to silos.
As seen in the table, the Tricalcium silicate percentage of cement A is 56 whereas that of cement B is 40. The Tricalcium aluminate percentage of cement A is 8% whereas that of cement B is 7%.
According to theory, C3S is the material that contributes the most to achieving the early strength of the cement mix. And C3A is a chemical that generates the most heat when mixed with water and C2S is something that generates the least heat. It is also known that less percentage of C3S leads to high ultimate strength.
Therefore, It can be stated that cement A with the composition stated in the table below, would provide the highest standard mortar strength one day after batching.
Compressive strength of concrete is given as 32 MPa with 2.5% defective rate. We know that if defective rate is greater than 5% we can’t take Fck and as per code 5% is allowed. Therefore, here it means that 2.5 are failing out of 100.
QUESTION 2
The concrete mix design will be carried out according to the British Building Research Establishment
method. Calculate the proportions of cement, water and aggregates for 1m3 of the concrete (in kg).
Also provide the dosage of the chemical admixture based on supplier recommendation: 1% of
cement mass.
The following requirements are specified:
a) Target mean compressive strength = 60 MPa at 28 days.
b) Portland cement class is 42.5.
c) Slump required is 0–10 mm.
d) Maximum aggregate size is 20 mm.
e) Maximum cement content is 450 kg/m3.
Additional information:
- The fine and coarse aggregates to be used are crushed; the bulk density is unknown,
- The fine aggregate has 40% passing a 600 μm sieve,
- Two types of coarse aggregate are used: 10 and 20 mm.
Answer : Concrete Mix Design
The following procedure of concrete mix design is as per the British Building Research Establishment Method also known as DoE.
These calculations aim to calculate the proportions of cement, water and aggregate for 1m^3 of concrete.
Given,
The only class of cement that is available in Australia = 42.5
Quality of fine and coarse aggregate = crushed
Cement strength class |
Type of coarse aggregate |
Compressive strength at 3 days |
Compressive strength at 7 days |
Compressive strength at 28 days |
42.5 |
Uncrushed |
22 |
30 |
42 |
42.5 |
crushed |
27 |
36 |
49 |
52.5 |
Uncrushed |
29 |
37 |
48 |
52.5 |
crushed |
34 |
43 |
55 |
Therefore, from the table above,
The compressive strength of concrete at 7 days = 36 MPa
Since, Target mean compressive strength = 25 MPa at 7 days, Now, from the graph below, water cement ratio = 0.6
For this, the given requirements are,
Slump = 30–60 mm
Maximum aggregate size = 20 mm
Therefore, from the table below, water content (w) = 210 kg/m^3
C = W/0.6
= 210/0.6
= 350 kg/m3 < 450 kg/m3
Therefore, ok.
C = 350 kg/m3
D =2400 kg/m3
Total aggregate content = D – W – C
= 2400 – 210 - 350
Total aggregate content = 1840 kg/m3
Minimum aggregate size: 20mm
As per the requirements, fine aggregate has 40% passing a 600 μm sieve.
Therefore,
Fine aggregate content = 0.52 x 1840 = 956.8 kg/m3
Coarse aggregate content = 1840 - 956.8 = 883.2 kg/m3
10 mm Coarse aggregate content (1/3) = 294.4kg/m3
20 mm Coarse aggregate content (2/3) = 288.8 kg/m3
Cement content = 350 kg/m3
Water content = 210 kg/m3
Fine aggregate = 956.8 kg/m3
10mm Course aggregate = 294.4kg/m3
20mm Course aggregate = 288.8 kg/m3
QUESTION 3 Concrete shrinkage
Answer 3.1
Given,
Target mean compressive strength, Fm = 25MPa
Margin, M = 5MPa
Now, as per British Building Research Method,
Fm = Fc + M
Fc = 20MPa
As per Australian Standard AS1379
Fcm = mean compressive strength = 25MPa
M = Margin = 5MPa
F’c = characteristic compressive strength = Fcm – M = 20MPa
Answer 3.2
For this calculations, AS3600-2018 model is used.
Given, c/s area of the concrete block = 1000mm x 200mm
Since the concrete is subjected to interior environment, K4 = 0.65
Basic drying shrinkage:
ecsd.b = (0.9 – 0.005f’c) x 800x10-6
= (0.9-0.005*20)*800*10^(-6)
= 0.00064
tn = 2Ac/P
= 2(1000*200)/(2*1000+2*200)
= 166.67
a1 = 1.2835
k1 = 1.2633
Therefore,
Total drying shrinkage
ecsd = k1 x k4 x ecsd.b
=1.2633*0.65*0.00064
=0.00052
eCSE = (0.07*F’c-0.5)50*10^(6)
=((0.07*20-0.5)50*10^(6)
= 0.00045
Total shrinkage strain: ecs = eCSE + ecsd
0.00045+0.00052
=0.00097
Therefore, ecs = 970 me
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