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International Journal of Civil Engineering and Technology (IJCIET) Volume 9, Issue 5, May 2018, pp. 1260–1271, Article ID: IJCIET_09_05_141
Available online at http://www.iaeme.com/ijciet/issues.asp?JType=IJCIET&VType=9&IType=5
ISSN Print: 0976-6308 and ISSN Online: 0976-6316
© IAEME Publication Scopus Indexed
ANALYTICAL APPROACH TO STUDY
PERFORMANCE OF DEMOLISHED WASTE IN
RIGID PAVEMENT USING PLAXIS 2D
Shweta A. Dandekar
Student, M.Tech. (Geotech. Engg.), Shri Ramdeobaba College of Engineering and
Management (RCOEM), Katol Road, Gittikhadan, Nagpur- 440013, India
Pravin B. Kulkarni
Associate Professor, Dept. of Civil Engineering, Shri Ramdeobaba College of Engineering
and Management (RCOEM), Katol Road, Gittikhadan, Nagpur- 440013, India
ABSTRACT
In present scenario, the Indian Ministry Road Transport and Highways has been
relentlessly promoting sustainable development to achieve both economic growth and
a good living environment for future generations. Given that the provision of
infrastructure and buildings is indispensable to support local economic development,
the construction industry will increasingly play a vital role in shaping a sustainable
environment for the residents of India, especially Nagpur. However, the construction
industry has long been confronted with its adverse impacts on the environment by
generating many waste materials and consuming substantial quantities of natural
resources.
Moreover, the lack of natural resources has resulted in a strong dependency on
importing natural aggregates from overseas. Thus, there is an urgency regarding the
divergence of waste materials away from the Landfill area and to source alternative
materials to replace natural aggregates. As an important component of the
sustainable development trend, the use of recycled waste materials in construction an
application is a method to enhance resource efficiency.
To realize the beneficial use of C & D material, an in-depth study was conducted
to evaluate its use in road construction using PLAXIS 2D. This software accomplishes
to analyze the effect of cyclic loading on construction and demolished waste
underneath the rigid pavement in static, dynamic and applying geo -synthetics as well.
This dissertation report paraphrases the inclusion of subbase material as C and D
waste beneath the rigid pavement to dwindle the settlement of it. The static and
dynamic analysis of rigid pavement incorporating geo -synthetics has been studied to
find the effect over it with the help of PLAXIS 2D. Several models have been analyzed
in Plaxis 2D with various loading from IRC 58:2002, IRC 58:2011 and IRC Class AA
Loading. The temperature check is also studied for the existing ongoing Roads in
Analytical Approach to Study Performance of Demolished Waste in Rigid Pavement Using Plaxis
2d
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Nagpur Region, The results from study shows that the stresses developed at higher
temperature.
Keywords: Rigid pavement, Demolished waste, Concrete Roads, Geogrid, Plaxis 2D.
Cite this Article: Shweta A. Dandekar and Pravin B. Kulkarni, Analytical Approach
to Study Performance of Demolished Waste in Rigid Pavement Using Plaxis 2d,
International Journal of Civil Engineering and Technology, 9(5), 2018,
pp. 1260–1271.
http://www.iaeme.com/IJCIET/issues.asp?JType=IJCIET&VType=9&IType=5
1. INTRODUCTION
Latterly, the great magnitude for the economic development of the Country are road
pavements, valuing the environmental perspective and seeking to terminate all long term
impacts (economic, social, environmental, or other) of this type of investments. The concept
of sustainable development has been subjected to various construe. ‘‘Brundtland Report’’, the
development that ‘‘meets the needs of the present without compromising the ability of future
generations to meet their own needs’’. At the present time, the term ‘‘sustainability’’ is
commonly applied to almost every facet of life, although it is being increasingly used in the
reference of human sustainability on Earth, with special focus on the causes of global
warming and climate change. Preservation of the environment and conservation of the rapidly
diminishing natural resources should be the essence of sustainable development. There is
consequent effect on environment of any construction activity, viz., constructing road
pavements.
A road pavement is a structure consisting of superimposed layers of processed materials
above the natural soil sub-grade, whose primary function is to distribute the applied vehicle
loads to the sub-grade. The pavement structure should be able to provide a surface of
acceptable riding quality, adequate skid resistance, favorable light reflecting characteristics,
and low noise pollution. The ultimate aim is to ensure that the transmitted stresses due to
wheel load are sufficiently reduced, so that they will not exceed bearing capacity of the
subgrade.
Concrete pavements, often called rigid pavements, are made up of Portland cement
concrete. The concrete pavement, because of its rigidity and high modulus of elasticity, tends
to distribute the applied load over a relatively wide area of soil.
Figure 1 Underlying layers of rigid pavement
The natural materials and costly material cement is becoming waste and just used for land
filling is a major problem. Recycling of waste material is not being implemented for waste
material management of Nagpur city.
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Figure 1.1 Site Picture of C & D waste 1 (Demolition of Chhatrapati Square Flyover)
Figure 1.2 C & D waste site 2 (Demolition of Chhatrapati Square Flyover)
Figure 1.3 C & D waste site 3 (Demolition of Unauthorized Flat Scheme)
The above pictures are of the various sites, where structures are to be demolished with
many reasons as such the structures which are hurdle in Smart city and also which are
unauthorized running in Nagpur and also redevelopment.
Until last two decades, landfill was considered as the low cost and efficient method of
C&D waste management in Nagpur. But land filling is considered to be undesirable due to
environmental and ecosystem hazards. Now most of the landfills are at the end of arriving at
its full capacity due to construction of basement oriented buildings.
1.1. Processing of Construction and Demolition Waste in road construction
The processing consists of very well-known processing steps in the C & D W recycling
industry such as primary crushing and sieving, wind shifting and the sorting out of ferric and
non-ferric parts. Next to those the Stone Recycling processing concept is built around the
purification of the material in terms of sorting out unwanted components such as gypsum by
using Near-Infrared (NIR) technology and the separation of the non-concrete fraction from
the concrete fraction using colour-sorting equipment.
Finally, the pure concrete aggregates resulting from the processing concept are brought to
the right size fraction by crushing and sieving. These resultant high-grade recycled aggregates
are applicable in both the bound and unbound application for road construction.
In the case of sub-base applications of C & D W, different tests have been performed in
order to determine if C&DW can be used as a substitute of contribution soil for sub-base
applications.
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1.2. Properties of aggregate made from C&D waste
Recycled concrete aggregate could be produced from (a) recycled precast elements and cubes
after testing, and (b) demolished concrete buildings. Whereas in the former case, the
aggregate could be relatively clean, with only the cement paste adhering to it, in the latter case
the aggregate could be contaminated with salts, bricks and tiles, sand and dust, timber,
plastics, cardboard and paper, and metals. It has been shown that contaminated aggregate after
separation from other waste, and sieving, can be used as a substitute for natural coarse
aggregates in concrete. As with natural aggregate, the quality of recycled aggregates, in terms
of size distribution, absorption, abrasion, etc. also needs to be assessed before using the
aggregate. Some of the important properties of such recycled aggregate are discussed in the
following paragraphs.
1.3. Size distribution
It has been now generally accepted that, recycled aggregates, either fine or coarse, can be
obtained by primary and secondary crushing and subsequent removal of impurities. Generally,
a series of successive crushers are used, with oversize particles being returned to the
respective crusher to achieve desirable grading. The best particle distribution shape is usually
achieved by primary crushing and then secondary crushing, but from an economic point of
view, a single crushing process is usually most effective. Primary crushing usually reduces
the C&D concrete rubble to about 50mm pieces and on the way to the second crusher,
electromagnets are used to remove any metal impurities in the material. The second crusher is
then used to reduce the material further to a particle size of about 14–20mm. Care should be
taken when crushing brick material because more fines are produced during the crushing
process than during the crushing of concrete or primary aggregates.
1.4. Absorption
The water absorption in RA ranges from 3 to 12% for the coarse and the fine fractions (Jose,
2002; Katz, 2003; Rao, 2005) with the actual value depending upon the type of concrete used
for producing the aggregate. It may be noted that this value is much higher than that of the
natural aggregates whose absorption is about 0.5–1%. The high porosity of the recycled
aggregates can mainly be attributed to the residue of mortar adhering to the original
aggregate.
This, in fact, also affects the workability and other properties of the new concrete mix as
discussed separately.
1.5. Abrasion resistance
Very limited literature is available on the abrasion resistance of RA. However, studies on the
use of such aggregates as sub-base in flexible pavements show promising results. These
recycled aggregates have also been used in generating concrete that is further used in rigid
pavements. As discussed earlier in the paper, they are extensively used in USA, UK and other
countries as new material for rigid pavements (Gilpin et al., 2004; Khalaf et al., 2004).
2. INTRODUCTION OF COMPUTER PROGRAM: PLAXIS 2D
Plaxis is finite element software developed at the Technical University of Delft for Dutch
Government. Initially, it was intended to analyze the soft soil river embankments of the
lowlands of Holland. Soon after, the company Plaxis BV was invented, and the program was
extended to cover a broader range of geotechnical issues. The Plaxis program started at Delft
University of Technology in early 1970’s when Peter Vermeer started to do a program of
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research on finite element analysis on the design and construction of Eastern Scheldt Storm-
Barrier in Netherland. Initial finite element code was developed to calculate the elastic-plastic
plane using six-nodded triangular elements. In the year 1982 Rene De Borst under the
supervision of Pieter Vermeer, performed his master’s program related topic on the analysis
of cone penetration test in clay. The study of axisymmetric led to the existence of Plaxis. The
study was on six-nodded triangles in the element. This 15 – noded triangle was developed
thus increasing the number of nodes in the element. The usage of 15-noded triangle is the
simplest element for any analysis in axisymmetric. Then the experts De Borst and Vermeer
implement the 15-noded triangle in Plaxis thus solving the problem of cone penetrometer. The
development of Plaxis proceeds with the problem to solve the soil structure interaction
effects. This led to the study on beam element by Klaas Bakker under the supervision of
Pieter Vermeer. The outcome of the experiment using beam element was applicable to
flexible retaining wall and later application to the analysis of flexible footings and rafts.
Baker’s work formulated the implementation of 5-noded beam element in Plaxis (Bakker et al
(1990), Bakker et al (1991)). The 5- noded beam element is compatible to the 15-noded
triangular elements (has 5 nodes). Baker’s work was novel for the invention of hybrid method
introducing the displacement of degree-of –freedom to the element behaviour. The lack of
degree of freedom has made solution to reduce the number of variables thus simplified the
element.
2.1. Steps in Computational Modelling and calculation in PLAXIS 2D
In general, the analysis in Plaxis includes:
1. Defining the geometry and finite element model layout
2. Specifying material parameters: appropriate material strength and stiffness from
library or in-situ tests.
3. Generating stresses.
4. Construction stage i.e. defining various stage of excavation or filling using stage
construction
5. Engineering judgment.
2.2. Sets of Properties of Material
In PLAXIS 2D, soil properties and material properties of structure are stored in material data
sets. There are four different types of material sets grouped soil interfaces, Plate, Geo -
synthetics, and Anchor. Global database can be used to store the material properties.
Sr. No. Name of Author with year of publication Modulus of rigidity Poisson’s Ratio
Obrzud & Truty 2012 complied from Kezdi
1974 & Prat et.al. (1995) 80,000 kN/m2 -
Wojciech Sas, Katarzyna Gabrys, Alojzy
Szymanski (2013) 9,13,000 kN/m2 0.2
Arul Arulrajah, Mahdi M. Disfani, Suksun Horpibulsuk, Cherdsak Suksiripattanapong,
Nutthachai Prongmanee (2014) 310 kN/m2 -
Javier Tavira, José Ramón Jiménez, Jesús
Ayuso, María José Sierrac, Enrique Fernández Ledesma(2018)
22,000 kN/m2 0.35
Present study 58,076.67 kN/m2 0.3
Figure 2 Material properties of Demolished Waste
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Table 1 Properties of plate as rigid pavement
Sr. no. Properties Unit Value
1 Axial stiffness kN/m 7 x 105
2 Flexural rigidity kNm2/m 7146
3 Poisson’s ratio (�) --- 0.15
4 Density kN/m3 24
3. GEOMETRIC MODELLING OF RIGID PAVEMENT WITH ITS
UNDERLYING LAYERS
The Rigid Pavement with its underlying layers is shown in figure 1, the thickness of rigid
pavement and its subsequent underlying layers is shown in figure 3.
Figure 3 Assigning of material Properties to the geometries
3.1. Material sets and mesh generation
The properties of the different soil types are given in Table 1. Three material sets are to be
created, containing the data according to the table. The clay and the peat layer are undrained.
This type of behavior leads to an increase of pore pressures during the construction of the
embankment. Assign the data to the corresponding clusters in the geometry model. After the
input of material parameters, a simple finite element mesh may be generated using the
Medium coarseness setting. Generate the mesh by clicking on the Generate mesh button.
Figure 3.1.1 Assigning of material Properties to the geometries of underlying Layers
Figure 3.1.2 Assigning of material Properties to the Plate for pavement
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Figure 3.1.3 Generation of Mesh
Figure 3.1.4 Deformed mesh Due to self-weight of Pavement
Figure 3.1.5 Vertical displacement of subbase Due to self-weight of Pavement (Max Deformation =
2.1 mm)
Figure 3.1.6 Application of Wheeledwheeledloading (40 kN
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Figure 3.1.7 Deformed mesh Due to wheeled wheel loading of 40 kN
Figure 3.1.8 Vertical displacement of subbase due to Self-weight with loading (40 kN)
Max deformation = 4.00 mm
Figure 3.1.9 Geometric model of demolished waste based rigid pavement incorporating geogrid at the
interfaces.
Figure 3.1.10 Contours of vertical Deformation
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4. THE TRAFFIC LOADING ON PAVEMENTS
Traffic load in pavement evaluation is considered to be a load from heavily loaded vehicles
(trucks, lorries). Load can affect the pavement either as a static or dynamic load. Load in
calculations is considered to be simple or repeated. Heavy vehicles, which have recently been
used on roads, are considered. The effect of these vehicles is transferred into the pavement
through the contact area with consideration of the tyres inflation and the constructional
solution of the undercarriage. According to the calculation methodology, substitute or real
contact areas are used, which respond to tyre inflation and undercarriage dimensions.
4.1. PARAMETRIC CALCULATIONS
Parametric calculations of the stresses on a concrete slab were made by a traffic load on
models of the pavement structures by selected methods. C & D Waste as the sub-base and
different load locations are considered in the calculations.
4.1.1. Pavement loading
Simple static loading of the pavements was simulated by axles with the following
characteristics:
• a design axle with a weight of 10.0 tons, loading of 2P = 100 kN, average contact
pressure p= 0.60 MPa,
• an axle with maximum allowed weight of 11.5 tons, loading of 2P = 115 kN,
average contact pressure p = 0.65 MPa,
• a non-standard axle with a weight of 24,0 tons, loading of 3P = 240 kN, average
contact pressure p = 0,70 MPa,
5. WESTERGAARD'S THEORY FOR RIGID PAVEMENTS
“It is a common observation that the theory of elasticity is useful beyond the range of
elasticity.” - M. M. Westergaard
Westergaard's theory is considered good to design the rigid pavements.
Rigid pavement slab is considered as a thin elastic plate resting on soil sub-grade, which is
assumed to be a dense liquid. So, here the upward reaction is assumed to be proportional to
the deflection, i.e. p = K.d, where K is a constant defined as modulus of subgrade reaction.
Units of K are kg/cm3.
Figure 4.1 Concrete pavement
5.1. Westergaard's modulus of sub-grade reaction
Modulus of sub-grade reaction is proportional to amount of deflection (d). Displacement level
is taken as 0.125 cm in calculating K i.e. d = 0.125 cm, so modulus of sub-grade reaction,
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5.2. Radius of relative stiffness of slab to sub-grade
Amount of deflection which will occur on the pavement surface depends on the stiffness of
the slab and also on the stiffness of the sub-grade. Same amount of deflection will occur on
the top surface of the sub-grade.
This means that the amount of deflection which is going to occur in the rigid pavement
layer depends both on relative stiffness of the pavement slab with respect to that of sub-grade.
Westergaard defined this by a term "Radius of relative stiffness" which, can be written
numerically as below:
where,
l = radius of relative stiffness, cm
E = Modulus of elasticity of cement concrete kg/cm2
µ = Poisson's ratio for concrete = 0.15
K = Modulus of Sub-grade reaction in kg/cm2
5.3. Traffic Parameters
1. Design Wheel Load
2. Traffic Intensity
5.4. Critical Load Positions
Figure 4.2 3D view of Rigid Pavement
When the wheel load is applied on the pavement surface, flexural stresses are induced in
the pavement. There are three critical positions which are to be checked for maximum
stresses.
1. Interior loading
2. Edge Loading
3. Corner loading
Whenever loading is applied at the interior of the slab, remote than the edges and corner,
this is called interior loading.
When loading is applied on the edges, remote than the corners is called edge loading.
When the loading is applied on the corner angle bisector and loading is touching the
corner the edges.
5.5. Equivalent Radius of Resisting section
When the loading is at the interiors there is a particular area which will resist the bending
moment. Westergaard assumed that the area will be circular in plan and its radius is called
as Equivalent radius of Resisting section.
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Numerically,
b= (1.6 x a2 + h2)(1/2) - 0.675h
Here,
b = equivalent radius of resisting section, cm when 'a' is less than 1.724h
a = radius of wheel load distribution, cm
h = slab thickness, cm
When 'a' is greater than 1.724h, b =a.
In case of corner loading,maximum stresses are not produced at corner but they are
produced at a certain distance ‘X’ along the corner bisector. This is given by the relation:
X = 2.58(al)1/2
Here, X = distance from apex of the slab corner to section of maximum stress along the
corner bisector, cm.
a= Radius of wheel load distribution, cm
l = Radius of relative stiffness, cm.
The following formulas used to calculate the amount of stresses developed at the three
critical positions due to the given wheel load P.
1. Interior Loading,
Si = �.��� �
�� ���� ���� + �. ����
2. Edge Loading,
Se= �.�� �
�� ���� ���� + �. ����
3. Corner Loading,
Si = � � �� − ��√
� �� Here,
Si, Se and Sc = maximum stress at interior, edge and corner loading kg/cm2
h = Slab thickness, cm
6. RESULS AND DISCUSSIONS:
Vertical displacement of rigid Slab = 2.1 mm ----(self-weight)
Vertical displacement of rigid Slab with Load of 40 kN = 4.00mm
Impact of Load (40kN) at frequency of 2Hz gives Maximum = 26mm
Effective Vertical stress in Soil = 180 kPa
With Geogrid, the Maximum deformation for Impact loading in slab is 2.40 mm
Demolished waste could be better option for Rigid pavement.
After using geogridsettlement/deformation gets reduced.
7. CONCLUSION
Recycled concrete aggregate or demolished waste can be used as base and sub-base materials,
in place of crushed stone aggregate for supporting a concrete pavement system. The
compaction of recycled concrete aggregate is the same as that of crushed stone aggregate and
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gravel. The stability and the shear resistance of recycled concrete aggregate in dry conditions
are higher than those of gravel and equal to or better than those of crushed stone aggregate.
Breakage of aggregate particles increases in severity from gravel to recycled concrete
aggregate.
Numerical modeling of the demolished waste under rigid pavement is done by using
PLAXIS 2D. After intensive modeling it is clear that the settlement in RCC slab. For axle
load it is found 2.1 mm and after impact load the settlement is 4.1 mm.
The uses of geogridin RCC road to wrap the demolished waste at the interfaces,
deformation get reduced and which is found 2.4 mm.
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PP 84-88.
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