Review of Falling Weight Deflectometer For Assessment of Flexible Pavement
Review of Falling Weight Deflectometer For Assessment of Flexible Pavement
Review of Falling Weight Deflectometer For Assessment of Flexible Pavement
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ABSTRACT
Fast development of road networks has become a trend in India and everywhere in the world. From the past couple
of decades, it has been observed that numerous highways are in a phase of deteriorations. Identifying the reasons
for deteriorations requires a pavement evaluation study. Many performances study have been made out by exploring
flexible pavements, by the users of widely accepted falling weight deflectometer (FWD) as a non-destructive test
(NDT) and considered it as a standard for structure assessment. The primary objective of this study is to a review
of an FWD instrument and the also study of the empirically derived methods and a back calculation process for
computing layer moduli and factors influencing it. The essential need of correction factors to get reliable layer
moduli is an also discussed, in addition to the investigation of advancement of low-cost indigenous FWD models
Keywords: Falling weight deflectometer (FWD), back calculation process, correction factors, surface
deflection
1. INTRODUCTION
Rapid construction of road infrastructure has Widely accepted NDT. In NDT, in situ test is
become a trend in India and all over the world. conducted on in service pavement without
In past few decades, it has been observed that disturbing or breaking out pavement layer. NDT
many road works require early stage of tools for evaluating material layer properties of
maintenance. To identify causes of it, require a in service pavement are extensively used
structural evaluation study to assess the existing worldwide. Generally, a wave prorogation
layers properties of pavement. Many technique and deflection based approach have
performances study have been made out by gained popularity in the field of pavement
exploring flexible pavements by the users of engineering. In wave prorogation techniques,
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vibration source kept on a surface of the closely simulate loading condition of actual
pavement and velocities and wavelength of moving load [1]. The FWD has been being used
surface waves are measured, which are emitted now for over numerous years for pavement
from vibration source and transmitted through assessment, including utilization on unbound
pavement layers. This approach requires highly asphalt layers. It is a trusted apparatus and
advanced computer programmer for reliable regarded by numerous researcher as a standard
results interpretations, therefore, it is not widely against another mention NDT [2]. The primary
used. From the early 1970s, the surface objective of this study is to a review of an FWD
deflection approach is extensively used for instrument and the also study of the empirically
assessing pavement material because of its derived methods and a back calculation process
reliability, speedy operation and ease of use. for computing layer moduli and factors
Surface deflection is overall responses (in terms influencing it. The essential need of correction
of deflections) of the full depth of pavements factors to get reliable layer moduli is an also
under predefined standard application of load. A discussed, in addition to the investigation of
surface deflection is measured by non- advancement of low-cost indigenous FWD
destructive deflection tests. Back calculation models.
analysis is performed to determine the structural FWD test, in which mass is allowed to
properties of distinct layers or to estimate the fall from a predefined height on pavement
moduli value of distinct layers and computed surface and surface deflections or deflections
moduli values are furthermore used for analysis basin are measured using a velocity transducer
of pavement and estimating the remaining life (geophone) or deflection sensors, which are
and overlay requirement analysis of pavements. equipped with FWD. It is observed that the
Structural evaluation studies are conducted amplitude deflection at distinct radial point
with various tools such as Benkelman beam occurs at distinct time moments, which are not
deflection (BBD), lightweight deflectometer closely simulating the actual transient deflection
(LWD) and FWD. The best capable devices for conditions of moving wheel load. Therefore, a
measuring accurate pavement response are built measured deflection is further evaluated through
on the using dynamic loading and the assessment back-calculation analysis. Moreover, a detailed
of the deflections. Amongst the various of operating principle, deflection basin is
deflectometer assembled devices, the FWD is discussed in subsequent sections.
the extensively utilized and considered as a
benchmark test for pavement evaluation due to
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2.1 IITKGP FWD Model -I pavement surface and releasing the mass. Tests
The first Indian FWD model was developed [5] are performed physically and thus it has taken
by the transportation engineering section of the more time.
department of civil engineering, Indian institute Furthermore, maneuvering the equipment on in-
of technology, Kharagpur, India. It is trailer service highways in India was found to be hard
mounted, towed with the help of a jeep. This and clumsy.
model has loading capabilities ranging from 20 To defeat all mentioned drawbacks of IITKGP
kN to 65 kN and loading time between 20-30 Model- I a second model was produced in the
milliseconds, rubber pad used as buffer (spring) year 2001 by IIT, Kharagpur, India and works
system for the obtained desired load duration, were sponsored by MORT&H.
which is closely similar to a moving vehicle
speed of 50-60 kmph. Surface deflections can be 2.2 IITKGP FWD Model –II
measured at offset distances of 300 mm apart up IITKGP FWD Model –II is a fully automatic
to 1500 mm distance with the assistance of six vehicle-mounted instrument. All the processes
geophones. A string and pulley prearrangement are computerized and surface deflections data
is employed for raising and letting down the are gathered through a data-acquisition system,
weight, whereas a clamp arrangement is built up also one additional geophone is added for
for supporting the stack at any desired height. obtaining better surface deflection data. An
Single load cell and six geophones are used to impulse loading range from 20 kN to 100 kN can
quantify the magnitudes of load and deflections be obtained by varying dropping mass and
respectively. The load and deflection are read on heights ranges from of 100 kg to 225 kg and 100
the computer with the aid of a data acquisition mm to 600 mm respectively on 300 mm loading
system. plate diameter. Which allows uniforming
distribution of stresses on the pavement and by
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the help of seven geophones surface deflections corresponding peak load and peak vertical
are measured with observed load duration varies surface deflections at different radial locations
from 20 to 30 milliseconds. are measured using deflection sensors as shown
in Figure 1, DO, D1, etc., are surface deflections
2.3 Geotran FWD measured at different radial distances and
GEOTRAN FWD is a fully automatic vehicle- recorded in data acquisition system. (Ref
mounted instrument for measuring surface Figure- 1)
deflection and requires only one man to operate
all its operations. All the operations are 3.1 Deflection basin
controlled from PC/laptop through the DS4000S The reliability and usefulness of FWDs are
data acquisition system. DS4000S system is a based on the capability of simulate closely to the
very accurate and high-speed controlling actual loading condition. It includes traffic
system, that is capable of captures all required loading and stresses induced due to environment
data of geophone, load cell, and temperature. and weather condition. When a moving wheel
GEOTRAN FWD has produced the impulse load passes over the pavement, it generates load
load up to 100 kN on existing pavement by pulses. Normal stresses (vertical as well as
dropping weight from predefined height and horizontal) at a specific location in the pavement
evaluate surface deflections using seven inbuilt and it will increase in magnitude from zero to a
geophones. It has also two temperature sensors peak value as the moving wheel load approaches
for air temperature and road surface temperature the specific location. The time taken for the
measurement. Loading plate has a diameter of stress pulse to vary from zero to peak value is
300 mm with reinforced rubber plate. termed as 'rise time of the pulse'. As the wheel
moves away from the location, the magnitude of
3. OPERATING PRINCIPLE OF FWDs stress reduces from the peak value to zero. The
The working principle of all FWDs model are time period during which the magnitude of stress
same. A mass is allowed to drop from a pulse varies from 'zero-to-peak-to-zero' is the
predetermined height onto a series of springs/ pulse duration. Peak load and the corresponding
buffers placed on top of a loading plate to pavement responses are of interest for pavement
produce impulse load pulse on the pavement evaluations are shown in (Ref Figure 2).
surface, buffer system of suitable stiffness (5 The size and shape of the deflection basin permit
mm minimum thickness) used to simulate the comprehensive structural investigation of the
actual load duration of moving traffic. The pavement. Fundamentally, the exterior
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deflections describe the modulus characteristics on the radius (ae) of the stress bulb at the
of the sub-grade, although the bowl nearby to the subgrade-pavement interface so that r equal or
loading plate permits investigation of the greater than ae, suggestive value, r is equal to or
modulus characteristics of the nearby surface greater than 0.7ae.
layers. A wide basin with little curvature ES (psi) = 0.24 P/ (dr * r) (1)
describes that the upper strata of the pavement Garg and Thompson (1998) proposed regression
are stiffer to the sub-grade. A basin with the equations (2-3) for estimating the subgrade
equal peak deflection, but high curvature nearby modulus from FWD test using pavement
the loading plate describes that the upper layers deflection, in which, D3 in miles (0.001 inches)
are weaker to the sub-grade. measured at 1097 mm radial distance from the
4. DETERMINATION OF LAYER center of the loading plate [7].
MODULUS For AC pavements:
Reliable estimation of individual layer modulus Log ES = 1.51-0.19 D3 +0.27 log (D3) (2)
from measured deflections of the FWD test is a For full depth AC pavements:
complex procedure. By taking into account of Log ES = 24.7-5.41 D3 +0.31 (D3)2 (3)
the size and shape of radial offset deflections, Choubane and McNamara (2000) proposed the
various researchers attempt to find layer equation 4 for predicting embankment subgrade
modulus and developed empirical relations. The modulus from FWD measured deflection at a
pavement theories based back-calculation radial distance of 1097 mm [8].
procedure is also reviewed in this section. ES = 0.03764 (P/dr) 0.898 (4)
Alexander et al, (1989) proposed an equation 5
4.1 Empirical models for subgrade modulus from the deflection (mils)
measured at a radial distance of 1830 mm (D72)
Attempts were made in the past by researchers
from the center of the loading plate for an
to estimate layer modulus from the measured
applied load of 111206 N [9].
surface deflections using NDT techniques are
presented, in here and these are briefly reviewed Es (psi) = 59304.82 (D72)-098737 (5)
Roque et al, (1998) produced the equation 6 for
in this section.
the appraisal of subgrade modulus based on the
AASHTO (1993) [6] recommends the equation
deflections measured at 60 inches radial distance
1 for back calculated subgrade resilient modulus
from the middle of the dual plates using a dual
using a deflection measurement from the center
load [10].
of the load, further recommend that the
minimum sensor distance (r), be estimated based ES (ksi) = 36.334(DX /60)-1.015 (6)
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Molenaar and Van Gurp (1982) developed the distance, applied load doesn’t induce any
equation 7 to predict subgrade soil modulus from deflection. Therefore, AASHTO (1993) defines
the FWD deflections (in meters) measured at a minimum radius distance based on the radius of
radial distance of 2000 mm [11]. the stress bulb induced due to the applied load
ES (MPa) = 6.614 *10-3*d2-1.00915 (7) and suggest minimum radius is equal to or
Subgrade modulus can also be determined by greater than 0.7 times of the radius of bulb stress
Harr (1966) from the average deflection value [6]. Garg and Thompson (1998) and Choubane
measured during the third, fourth and fifth drops and McNamara (2000) used radius distance of
of the load in a portable falling weight 1097 mm from center loading plate [7-8]. In
deflectometer (PFWD) using Equation 8. [12] addition, Alexander et al, (1989); Roque et al,
Es (MPa)= 2 P A (1-μ2) r a/ d (8) (1998); Molenaar and Van Gurp (1982) and
Wimsatt (1999) developed a regression Wimsatt (1999) used radius distance of 1830
Equation 9 using FWD deflection (mm) mm, 1524 mm, 2000 mm, 1828.8 mm from the
measured at a distance of 1828.8 mm [13]. center of the loading plate respectively [9-
Es (MPa) = 0.24 P/(W7*1828.8) (9) 11,13]. Moreover, Equations 1,4,8 and 9 are
developed by using deflection measured at a
Discussion radial distance from the center of loading plate,
An empirically developed relation for applied load, and radial distance, which are
determining individual layer modulus is a based based on Boussinesq solution, particularly
on the size and shape of a deflection basin. applied to the axis of symmetry. While,
Fundamentally the outer deflections describe the empirical equations 2,3,5,6 and 7 are based on,
modulus of the subgrade while deflection closer only a function of deflection measured at a radial
to the loading plate permits analysis of the near distance from the center of loading plate. These
surface layers, it is based on the typical pattern equations are employed only outer sensor
of load distribution or stress zone observed deflection values; Equations 2,3,5,6 and 7 are
under applied load in the flexible pavement. not widely used because of these are based on
Development of subgrade modulus from the only deflection, while equations 1,4,8 and 9
exterior peak deflection is not a straight forward consider important, which attribute to strength
process. It is crucial to characterize a radial characteristics, such as deflection, applied load,
distance from center of the loading plate to the and radial distance.
exterior deflection center. Although, it is well- Again, the load distribution approach is utilized
known that a from the specified interval of to determine the modulus of granular and the
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surface layer. The equations 10-13 are a function Back-calculation is a reverse analysis for finding
of surface course thickness and the combination a layer moduli from pavement response (in terms
of measured deflection at a radial distance at 0, of surface deflection) underneath the application
200, 500, 800, 1600 mm etc... from the center of of a given load. The back-calculation is a
the loading plate. Badu et al. (1989) developed numerical technique concerning the following
equations 10-11. [14] modeling mechanisms as shown in Figure 3: (a)
loading model, (b) pavement and material
For Granular layer: models, (c) a pavement response model, and (d)
Log EBASE (ksi)= 3.280-0.03326(t1)-0.1179log back-analysis model [4].
(D7) + 3.3562log (D1 –D2) -9.0167 log(D1-D4)- Loading model is a defined on the basis of a
4.8423 log (D1 –D5) (10) mode of applied load, which consist a static load,
For Bituminous layer: a moving load, a vibratory load, and an impulse
Log EAC (ksi)= 2.215-0.2481 (t1) -12.445 log load. The dynamic loading model yields more
(D1 –D2) + 17.205 log (D1 – D3) -5.87 log (D1 – precise results, but it is a creates inertia and
D4) (11) resonance as extra effects. The modulus of the
Roque et al. (1998) developed equation 12-13. subgrade could be devalued by half or more, and
[10] the base and subbase moduli were exaggerated
For Granular layer: by about the same fringe when dynamic impacts
EBASE (ksi) = 105.81136(t2)-1.0785 * (Dx /36 - Dx are precluded from the analysis [15]. Pavement
/ 60) 6.02523+2.4888/ Dx / 60 * (Dy/ 0+ Dx / 12)- model is consisting of a modeling of the
1.15(Dx / 36) 2.1609−1.6202/ (Dx / 36)-5.302/t2 * (Dx / 60) pavement compositions, layer thickness, and
3.6706−0.0498t - 0.686t (12) Poisson ratio. Material model is a defined as a
1 2−3.09/Dx /60)
(0.7966-19.1332/t ) * (Dy/0 - Dx/200)17.4791/t1 (13) and subgrade materials are stress-dependent and
1
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especially with confining pressure and/or bulk measures of output error utilized by analysts are:
stress, and slightly with deviator stress. The (a) the sum of the absolute differences (SAD),
response models have analyzed the pavement (b) the sum of the squared differences (SSD),
responses based on the kinds of material model and (c) the sum of the squared relative errors
and loading model employed for analysis. (SSRE). Various methods have been utilized to
Mostly, it is classed as four varieties of models land at an answer that gives a worthy match
(a) linear static analysis, (b) nonlinear static between the evaluated and measured deflection
analysis, (c) linear dynamic analysis, and (d) bowl. The most widely recognized assault is one
nonlinear dynamic analysis. that uses an iterative gradient search algorithm,
In the linear static analysis, linear material for example, the gauss–newton method.
model and static loading model are utilized, Contrasted and the alleged database techniques
layer thicknesses and Poisson's ratios are known [17-18] and the regression equation based
and only one unknown (i.e., elastic modulus) for methodology [19-20], this methodology, for the
each layer. Most widely used linear static most part, takes longer time because of the need
layered elastic programs is KENLAYER [16]. In to perform the forward structural response
the nonlinear static analysis, it is also employed model over and again.
static loading model, but the main change lies in
the material models, which is a utilizing Discussion
nonlinear material model. This gives more than Back-calculation procedure is depending on
one unknown model parameters for each layer coordinating of computed and measured
and also the trustworthiness of back calculated pavement deflections and it comprises of the
values of these parameters is a significant matter accompanying three noteworthy strides: (a)
to be considered. Linear and nonlinear dynamic determination of a trial set of qualities for the
investigations required the time history obscure pavement parameters, (b) forward
information of load and the deflection bowl calculation of pavement response taking into
defined by the amplitude values. The time account the parameter values chose, and
history of deflections might be utilized rather correlation of the computed response with the
than the peak deflection bowl for better results. measured, and (c) changing the chose parameter
The back-analysis portion is grounded values by method for a suitable search algorithm
on the minimization of the “output error,” i.e., to accomplish enhanced coordinating of the
the uniqueness between the deliberate and computed and measured responses. The
figured surface deflections. The three normal accuracy of layer modulus depends on the choice
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of loading, pavement and material, pavement ET1/ ET2 = (2.6277- 1.38 log10 T1) / (2.6277 –
response and back analysis models employed for 1.38 log 10 T2) (14)
analysis. A most widely used example is a linear
material model and static loading model based Rada et al (1988) gave the expression for
layered elastic programs is KENLAYER. It modeling the variation of stiffness with
needs an only one unknown parameter (i.e. layer temperature [22].
modulus) requires to find, but it doesn’t consider
a non-linearly characteristic of materials and that ET1 / ET2 = 10 3.245 x 10−4 (T11.798- T21.798) (15)
lead to inappropriate results. To get accurate
results it is recommended that to use a non-linear Antunes (1993) proposed the equations 16-17,
dynamic pavement response model. For that a based on the analysis of back calculated moduli
requires a profoundly computational effective obtained from the FWD data collected at
PC program, for example, Finite element different temperatures [23].
method (FEM).
5. CORRECTION FACTORS For Asphalt Concrete:
Properties of bituminous mix changes with ET1 / ET2 = (1.635 - 0.0317 T1) / (1.635 -
temperature, modulus values got at distinctive 0.0317 T2) (16)
temperatures are typically set to fit a standard
temperature for the design of pavements and For Bituminous Macadam:
overlays. Attributes of a granular layer are ET1 / ET2 = (1.795 - 0.0398 T1) / (1.795 -
highly altered by moisture content, thus seasonal 0.0398 T2) (17)
moisture correction and also particular
temperature alteration factors were created by Kim et al (2000) presented the equations 18-19
different experts for confirming the modulus as for adjusting the deflection value and moduli
well as deflection are studied in this section. value for temperatures of 680F, where, t is
Ullidtz and Peattie (1982) employed the thickness of the Asphalt Concrete (AC) layer
deflection data from AASHO road test and the (inch) and T is AC layer mid-depth temperature
SHELL procedure for finding of mix stiffness (0F) at the time of FWD testing, α is 3.67 x 10-4
and developed the equation 14 for comparing the x t1.4635 for wheel paths and 3.65 x 10-4 x t 1.4241
moduli obtained at two different temperatures for lane centers [24].
[21].
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Ullidtz (1987) built up a theoretical account for Granular layer and subgrade materials are
temperature correction based on back calculated susceptible to moisture variation, therefore
moduli values obtained from AASHO Road Test IRC:115-(2014) recommended equation 26-29
deflection data [27]. for moisture correction by considered summer
and winter seasons variation for granular layer
ETo= (1/3.177-1.673 log10 T) ET (22) and subgrade [30].
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[4]. Fwa, T. F. (Ed.). (2005). the handbook of Baladi, ASTM, Philadelphia, PA, pp. 502-
highway engineering. CRC Press. 524.
[5]. Kumar, R.S., Kumar, S., Das, A., Reddy, [10]. Roque, R., Ruth, B.E. and Sedwick, S.C.
K.S., Mazumdar, M. and Pandey, B.B. (1998). Limitations of Backcalculation and
(2001). Development of an Impact Improved Methods for Pavement Layer
Apparatus for Evaluation of Elastic Modulus Moduli Predictions. Proceedings of 5th
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Dynaflect and falling weight deflectometer [21]. Ullidtz, P. and Peattie, K.R. (1982).
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[17]. Anderson, M. (1989). A data base Repeated Loading. Australian Road
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LIST OF TABLE:
Table 1 International overview of FWD
Weight
Loading
Peak and Load
Manufacturer Deflections plate
load height of durations Remarks
Model Sensors diameter
(KN) falling (ms)
(mm)
mass
50 to 300 7 velocity
Dynatest 7 to kg transducers
25 to 30 300
Model 8000 120 20 to 380 Spacing 2.25 Denmark
mm mm apart and UK
Dynatest 30 to 7 velocity
-- 25 to 30 --
Model 8081 240 transducers
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Spacing 2.25
mm apart
30 to 6 velocity
Phonix FWD
10.2 to 150kg transducers Europe and
Model ML- -- --
102.3 50 to 400 Spacing 2.4 US
10000
mm mm apart
KUAB 2M- 5 velocity (Sweden)
14 to 300 and
FWD -- -- transducers 2 – Mass
150 450
Model 8333 system. a
falling
weight
KUAB 2M- 5 velocity
300 and dropped on
FWD 7 to 65 -- -- transducers
450 second
Model 8714
buffer
weight
Source: [3] ( R-81 Research Scheme (2003)) and [4] (Fwa, T. F. (Ed.). (2005)).
LIST OF FIGURES
Figure- 1
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Figure- 2
Figure- 3
17