2. Res. J. Appl. Sci. Eng. Technol., 3(6): 499-504, 2011
Fig. 1: Ultrasonic pulse velocity testing
Fig. 2: The PUNDIT plus set
enable certain properties of concrete to be measured in- types of elastic wave propagation. The fastest of these
situ, from which concrete strength is estimated, have been waves has particle displacements in the direction of travel
devised. Of the non-destructive techniques, the ultrasonic of the disturbance and is called the longitudinal,
pulse velocity technique offers the lowest cost of use and compression or P-wave. The compression wave velocity
is convenient as well as rapid to employ. Vp is a function of the dynamic Young’s modulus E, the
Poisson’s ratio L, and the mass density D, (Krautkramer
MATERIALS AND METHODS and Krautkramer, 1969; Marsh, 2000), and is given by:
Ultrasonic pulse velocity: When the surface of a semi-
E (1 − v )
infinite solid is excited by a time varying mechanical Vp =
force, energy is radiated from the source as three distinct ρ(1 + v )(1 − 2v )
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3. Res. J. Appl. Sci. Eng. Technol., 3(6): 499-504, 2011
Table 1: Quality of concrete given by IS code (BS, 1881, 1983) as a
function of UPV 4700
UPV(m/s) Concrete quality 4500
Above 4500 Excellent
Av. Velocity (m/s)
3500 to 4500 Good 4300
3000 to 3500 Medium
Below 3000 Doubtful 4100
0.35
3900 0.40
It is clear from the above equation that velocity is 0.50
3700 0.60
independent of geometry of material and depends only on
0.75
elastic properties of the material through which it passes. 3500
0 5 10 15 20 25 30
Hence the principle of assessing quality of concrete is that Age (days)
comparatively higher velocities are obtained when the
quality of concrete in terms of density, homogeneity and Fig. 3: UPV of concrete cubes against age
uniformity is good. In case of poorer quality, lower
velocities are obtained (Table 1). concrete, receiving and amplifying the pulse and
In the test described in BS (1881): Part 203 (BS, measuring and displaying the time taken.
1881, 1986), the time the pulses take to travel through Materials used for making specimen include ordinary
concrete is recorded. Then, the velocity is calculated as: Portland Limestone type 2.5N, standard sand, Coarse
Aggregate (CA) of 10 mm grain size and water.
V= L/T (2) The water-cement ratio (w/c) used in this study
ranges from 0.35 to 0.75. The cement paste occupies
where V = pulse velocity (m/s), L = length (m), and T = approximately 18% of the total concrete volume.
effective time (s), which is the measured time minus the Five concrete specimens were produced for each
zero time correction. The zero time correction is equal to mixture proportion. All the specimens were cast in steel
the travel time between the transmitting and receiving moulds and kept in their moulds for approximately 24 h
transducers when they are pressed firmly together. in the laboratory. After removing the moulds, three
concrete cubes were tested at an age of 2 days and all
The UPV results can be used: other concrete cubes were cured in water at 20oC (68oF)
C To check the uniformity of concrete
and tested at ages 7, 15 and 28 days, respectively. At each
C To detect cracking and voids in concrete
age, the pulse velocity and compressive strength of the
C To control the quality of concrete and concrete
five specimens were measured according to the
products by comparing results to a similar made
specification of the British standard (Qasrawi, 2003). Five
concrete
simulation curves of the relationship between UPV and
C To detect the condition and deterioration of concrete
C To detect the depth of a surface crack compressive strength of hardened concrete are proposed
C To determine the strength if previous data are for concrete with w/c of 0.35, 0.4, 0.5, 0.6 and 0.75.
available These curves were verified to be suitable for prediction of
hardened concrete strength with a measured UPV value.
Since strength is the major property in structural concrete,
measured velocity was related to strength, and plots of RESULTS AND DISCUSSION
velocity vs. strength were obtained.
Figures 3 and 4 shows the UPV and strength
Experiments: The experimental set-up is shown development, respectively, with the age of concrete
schematically in Fig. 1. The apparatus (Fig. 2) which is having different w/c. Both the UPV and strength of
manufactured by CNS Farnell, London, derives its name concrete increase with the advancement of age. At the
from the initial letters of the full title of “Portable same age, both UPV and strength of concrete with low
Ultrasonic Non-Destructive Digital Indicating Tester” w/c are higher than those with high w/c as shown in
(PUNDIT). The dimensions of the unit are 185 mm × 130 Fig. 3 and 4 mainly because of the denser structure of
mm × 185 mm, and it weighs in at 3 kg. The ambient concrete with lower w/c.
temperature range to which the equipment may be Figure 3 indicates that concrete with high w/c (w/c =
operated is 0 to 45ºC. The test equipment provides a 0.75) at the age of 2 days has a UPV of about 89% of that
means of generating a pulse, transmitting this to the of 28 days, but the strength is only about 60%. Figure 3
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4. Res. J. Appl. Sci. Eng. Technol., 3(6): 499-504, 2011
40.00 25.00
Compressive strength (Mpa)
Av. Compressive strength (Mpa)
35.00
20.00
30.00
25.00
15.00
20.00
0.35
15.00
0.40 10.00
10.00 0.50
5.00 0.60
5.00
0.75
0.00
0 5 10 15 20 25 30
0.00
Age (days) 4000.00 4400.00 4500.00
3900.00 4100.00 4200.00 4300.00
Av. Velocity (m/s)
Fig. 4: Compressive strength of concrete cubes against age
Fig. 7: Comparison of Av. Velocity and compressive strength
35.00 with 0.50 w/c
Av. Comprassive strength (MPa)
30.00 25
25.00
Compressive strength (Mpa)
20.00 20
15.00
15
10.00
5.00 10
0.00
4350.00 4400.00 4450.00 4500.00 4550.00
5
Av. Velocity (m/s)
Fig. 5: Comparison of Av. Velocity and compressive strength 0
with 0.35 w/c 3600.00 3800.00 4000.00 4200.00 4400.00
Av. Velocity (m/s)
40
Fig. 8: Comparison of Av. Velocity and compressive strength
35
Compressive strength (Mpa)
with 0.60 w/c
30
18.00
Av. Compressive strength (Mpa)
25 16.00
14.00
20
12.00
15 10.00
8.00
10
6.00
5 4.00
2.00
0
0.00
00 0 0
.0
0
0
0
0
. .0 .0 3600.00 3700.00 3800.00 3900.00 4000.00 4100.00 4200.00
.0
.0
.0
00 00 00 00
00
00
00
Av. Velocity (m/s)
41 42 43 44
45
46
47
Velocity (m/s)
Fig. 9: Comparison of Av. Velocity and compressive strength
with 0.75 w/c
Fig. 6: Comparison of Av. Velocity and compressive strength
with 0.40 w/c concrete becomes unclear when age and mixture
proportion is taken into consideration simultaneously.
also indicates that at the age of 2 days, concrete with low This observation suggests that it is be better to separately
w/c (w/c = 0.35) has a UPV that is approximately 97% of consider the effect of age and mixture proportion on UPV
that at 28 days and the strength is about 30%. To sum up, and strength relationship. For the given mixture
the UPV and strength growth rates of high and low w/c proportion, Figure 5 to 9 are used to acquire the UPV and
concrete are significantly different at an early age. As a strength values of hardened concrete having w/c of 0.35,
result, the relationship between UPV and strength of 0.40, 0.50, 0.60, 0.75.
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5. Res. J. Appl. Sci. Eng. Technol., 3(6): 499-504, 2011
Table 2:Concrete mix proportion for verification of UPV-strength recommended ±10% deviation from the true value. This
relationship curves
verifies the suitability of the proposed relationship curves
w/c Cement/kg Sand/kg C.A (10 mm)/kg Water/L
0.35 15.4 30.9 61.7 4.6 for prediction of hardened concrete strength with a
0.40 15.4 30.9 61.7 6.2 measured UPV value.
0.50 15.4 30.9 61.7 7.7
0.60 15.4 30.9 61.7 9.2
CONCLUSION
0.75 15.4 30.9 61.7 11.6
Table 3: Comparison results of UPV-strength relationship The main objective of this paper is to investigate the
Theoretical Experimental relationship between the Ultrasonic Pulse Velocity (UPV)
w/c Av.velocity/ms C.S/MPa C.S/MPa and compressive strength of concrete as well as to
0.35 4755.00 33.15 32.25 understand the influence of the mixture proportion and the
0.40 7505.60 40.30 41.00
0.50 6305.00 29.00 30.40 age of concrete on the relationship between UPV and
0.60 5446.60 22.50 21.40 compressive strength. Specific conclusions are as follows:
0.75 4529.20 19.00 20.65
C The UPV and strength growth rates of high and low
In this study, five curves of the relationship between w/c concrete have a significant difference at an early
UPV and compressive strength are drawn for concrete age. As a result, to clearly define the relationship
with the given w/c. between UPV and the strength of concrete with
The equations for the curves of these five w/c are as different mixture proportions, it is necessary to
follows: eliminate the interference caused by the different
UPV and strength growth rates of concrete at early
F (0.35) = 1E-15 e0.008v (3) ages.
F (0.40) = 0.022 e0.001v (4) C The equations obtained from the simulation curves
F (0.50) = 0.053 e0.001v (5) can be used to determine the concrete strengths of the
F (0.60) = 0.097 e0.001v (6) concrete mix proportions.
F (0.70) = 0.205 e0.001v (7)
ACKNOWLEDGMENT
where F and v represent the compressive strength (MPa)
and the ultrasonic pulse velocity (m/s), respectively. For We offer our sincere gratitude to W. Nimako and
the five w/c (0.35, 0.40, 0.50, 0.60 and 0.75) the F. Mudey of the Engineering department of the Ghana
relationship between UPV and strength of concrete is Standards Board for their help, input and commitment.
pretty good for this particular mixture proportion with a We extend our thanks to all our colleagues at the Nuclear
very high coefficient of determination, R2 of 0.866, 0.981, Applications Centre, National Nuclear Research Institute,
0.888, 0.994 and 0.989, respectively. This indicates Ghana Atomic Energy Commission.
relevance between data points and the regression curves.
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