*Maturity Concept of concrete:-
·
The strength of concrete not only depends upon the
time, but also upon the temperature during hydration.
·
Maturity of concrete is defined as
the product of time & temperature.
Maturity of concrete = Time *
Temperature = °C Hours or °C days
·
A datum temperature of (-) 11°C is taken for majority calculation
because hydration starts at this temperature.
·
A sample of concrete cured at 18°C for 28 days is taken as fully
matured concrete.
·
Maturity at 28 days = 28*24[18-(-11)] = 19488°C-hr.
*Yield of concrete:
·
If proportion of concrete is a: b: c then resulting concrete will have volume of 2/3(a+b+c) where a is volume of cement,
b is volume of sand, c is volume of coarse aggregate.
·
If w, a, b, c are absolute volumes of water, cement,
sand & coarse aggregate respectively then w+a+b+c=1.
*Methods of proportioning of concrete mixes:
I.
Fuller’s
maximum density method:
·
p=100√d/D
·
P=% by weight of matter finer than diameter.
·
D=maximum size of aggregate.
II.
Abram’s
water-cement law:
·
For any given condition of the test, the strength of
the workable concrete mix is dependent only on water cement ratio.
·
The quantity of water used in concrete is 30% of the
weight of cement = 5% of the weight of aggregate.
·
By the use of compaction vibrator, the quantity of
water can be reduced 20%.
·
According to the law, the strength of the mix
increased with decrease in water content.
·
Strength of concrete increases with age in the
following way.
Month
Age Factor
1
1.00
3
1.10
6
1.15
12 1.20
III.
Minimum
Voids Method:
·
Voids in coarse aggregate should be filled by sand
& voids in sand should be filled by cement.
·
Generally actual practice quantity of sand used in the
mix is kept 10% more than the voids in the coarse aggregate & quality of
cement is taken as 15% more than the voids in sand.
*Water Cement Ratio:
·
It is the mass of ‘free water’ (excluding that
absorbed by aggregate) to that of cement in the mix.
·
The ratio generally lays b/w 0.35 to 0.65.
·
It is mainly responsible for porosity of the hardened
cement paste.
·
For durable concrete W/C=0.8. If W/C > 0.6, Porosity
increase and strength decrease.
·
Due to the presence of 2% oil in water, the
strength of concrete is reduced to 20%.
·
Sea water in the world oceans has a salinity of
approximately 3.5% or 35 parts per thousand
·
The constituent of sea water reacts chemically
with constituents of cement concrete causing damaged to concrete structure.
·
Sea water corrodes the reinforcement of RCC thus
affecting durability of structure.
·
Sea water due to presence of CaCl₂
accelerates the setting time of cement.
·
The sea water reduced the strength of concrete
10 to 20%.
·
The sea water cannot be used for pre-stressed
concrete.
·
The strength of concrete cube made from normal
water should not be less than 90% of strength of concrete cube made from
distilled water.
Exposure conditions and
requirements for building construction works with normal aggregates of 20mm nominal size.
Exposure |
Description
|
Nominal
Cover(mm) |
Min
grade |
Min
cement Content(kg/m³) |
Max
free w/c ratio |
Mild |
Normal |
20 |
M20 |
300 |
0.55 |
Moderate |
Expose to Rain |
30 |
M25 |
300 |
0.50 |
Severe |
Immersed in sea water |
45 |
M30 |
320 |
0.45 |
Very
Severe |
Exposed to sea spray |
50 |
M35 |
340 |
0.45 |
Extreme |
Tidal Zone |
75 |
M40 |
360 |
0.40 |
SARALCIVIL
TRICK:
Strength of Concrete:-
·
It is designated in terms of numbers preceded by the
letter ‘M’ where M refers to the ‘Mix’ & number represents the
characteristics strength.
·
Tensile strength = 10% of compressive strength.
·
Bending strength = 15% of compressive strength.
·
Shear strength = 20% of compressive strength.
·
·
Characteristics strength is the strength of material
below which not more than 5% of the test result are expected to fall.
fm = fck + 1.65σ
·
Generally samples are tested for 7 days or 28 days but
IS code only suggests 28 days strength only.
·
7 days strength= 2/3 of 28 days strength of concrete.
·
Average of 3 values is taken as compressive strength
of concrete, provided the individual variation is not more than ±15% of the average.
1.
Compressive strength test
2.
Flexural Tensile strength test
3.
Split Tensile strength test
1.
Compressive Strength Test:
·
Size of coarse aggregate up to 38mm.
·
Size of concrete cube – 150*150*150 mm & Size of
cylinder – 150 mm dia, 300mm height.
·
Cube mould filled in 3 layers, tampered 35 times per
layer with tampering rod of 16 mm dia & 600 mm length.
·
Rate of loading in Compression testing machine = 14
N/mm²/minute.
·
Stored at temp. Of 27±3°C at 90% humidity for 24 ±1/2 hour.
·
Then immersed in water for 7 days or 28 days.
·
Cube strength = 1.25*Cylinder strength.
2. Flexural
tensile strength:
·
Tensile strength of concrete in flexure is called
flexure strength.
·
IS: 516-1959, Specifies two points loading.
·
Flexural strength is used to determine the onset
cracking or the loading at which cracking starts in a structure.
3.
Splitting tensile strength:
·
It is measured by testing cylinders under diametrical
compression.
·
·
Splitting tensile strength (fct ) = 2P/Ï€DL
·
Since concrete does not take any tensile strength, it
is taken as zero. But, IS code recommends the tensile strength to be calculated
using fcr =0.7√fck N/mm².
4. Direct tensile strength:
·
It is measured by testing rectangular specimens under
direct tension.
·
In the absence of test results, the cod recommends to
use an estimate of the flexural tensile strength from the compressive strength
by the following equation-
fcr = 0.7√fck.
·
Where fck
= Characteristic
compressive strength of cubes in N/mm².
·
fcr = Flexural tensile strength is N/mm².
·
fcr = 0.7√fck.
·
fct = 0.66 fcr.
·
& Splitting = [0.5-0.625] fcr
·
Where fct = Splitting tensile strength
·
fcr = 0.7√fck, fct = 0.66 fcr == 2P/Ï€DL
·
fcr (Flexural>
Splitting> Splitting)
*Factors affecting strength of concrete:
1.
Size of
specimen: Size decreases then strength increases.
2.
Age of
cement: Strength reduces as it absorbs moisture from atmosphere.
3.
Moisture in
specimen: Reduces the strength
4.
Rate of
loading: Strength increasing with increase in rate of loading.
5.
Cement aggregate
ratio: If cement is increases then ultimate strength will increase.
6.
Size of
aggregate: Larger aggregate size reduces strength.
7.
Type of
aggregate: Rounded or cubical aggregate give higher compressive
strength (but poor binding).
8.
Air Voids: They decrease
the strength considerably.
9.
Degree of
compaction: 5% air voids decreases strength by 30% where as 10% air void
decrease strength by 60%.
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