Ijraset Journal For Research in Applied Science and Engineering Technology
Authors: Vinayak Pavate, Akanksha Anuse, Sneha Dongale, Srushti Katkar, Anurag Pednekar
DOI Link: https://doi.org/10.22214/ijraset.2023.54059
Certificate: View Certificate
Building cracks are one kind of universal problem that occurs in any type of concrete structure. It is most important to understand the causes and preventive measures to be taken. A crack affects the buildings artistic and destroys the walls integrity, affects the structures safety, and reduces the durability of concrete. Some wrong steps are during construction and some unavoidable reasons are to be form different types of cracks appear on structures; they are to be classified into structural and non-structural cracks. In concrete, cracks can’t be prevented entirely but they can be controlled by using adequate material and repair techniques to use of construction. Some types of cracks causes serious problem and they are to be structurally hazardous.
I. INTRODUCTION
Occurrence of various crack patterns in the building during construction, after completion when it is subjected to super imposed load or during the service life, is a common phenomenon. A building component develops cracks whenever the stress in the components exceeds its strength. Stress in the building component could be caused by externally applied forces, such as dead, live, wind or seismic loads, foundation settlement etc. or it could be induced internally due to thermal movements, moisture changes, elastic deformation, chemical action etc.
A. Cracks In Buildings Could Be Broadly Classified As Structural And Non-Structural Cracks
Cracks may appreciably vary in width from very thin hair crack barely visible to naked eye to gaping crack. Depending upon the crack width cracks are classified as:
a. Thin Crack - less than 1 mm in width,
b. Medium Crack - 1 to 2 mm in width,
c. Wide Crack - more than 2 mm in width.
d. Crazing - Occurrence of closely spaced fine cracks at the surface of a material is called crazing.
Cracks may of uniform width throughout or may be narrow at one end gradually widening at the other. Crack may be straight, toothed, stepped, map pattern or of random type and may be vertical, horizontal or diagonal. Cracks may be only at surface or may extend to more than one layer of material. Cracks due to different causes have varying characteristics and by the careful observations of these characteristics, one can diagnose the cause of cracking for adopting the appropriate remedial measures.
The commonly used building material namely masonry, concrete, mortar etc. are weak in tension and shear. Therefore the stresses of even small magnitude causing tension and shear stresses can lead to cracking. Internal stresses are induced in the building components on account of thermal movements, moisture change, elastic deformation, chemical reactions etc..
All these phenomenon causes dimensional changes in the building components, and whenever this movement is restraint due to interconnectivity of various member, resistance between the different layers of the components etc., stresses are induced and whenever these stresses (tensile or shear) exceed the strength of material cracking occurs.
Depending upon the cause and certain physical properties of building material these cracks may be wide but further apart or may be thin but more closely space. As a general rule, thin cracks even though closely spaced and greater in number, are less damaging to the structures and are not so objectionable from aesthetic and other considerations as fewer number of wider cracks.
B. Scope
This project focuses on the assessment of the causes, prevention, and repairs of cracks in buildings. Specifically, this study focuses on determining whether cracks in buildings can be prevented, whether cracks in buildings can be repaired, and examining the causes of cracks in buildings.
C. Objectives
D. Methodology
II. STUDY THE CAUSES OF CRACKS IN BUILDING
A. Thermal Movement
All materials more or less expand on heating and contract on cooling. When this movement is restrained, internal stresses are created in the component and may cause cracks due to tensile or shear stress. Thermal movement is one of the most potent causes of cracking in buildings and calls for careful consideration.
The extent of thermal movement depends upon:
Ambient temperature variation Coefficient of thermal expansion The expansion of cement mortar and concrete is almost twice that of bricks and brick work. Movement in brickwork in the vertical direction is 50% greater than in the horizontal direction. Dimensions of components The cracks due to thermal movement are caused either by external heat, due to variation in ambient temperature, or by internally generated heat, i.e., heat of hydration in mass concrete during construction. Cracks in the building component due to thermal movement open and close alternately with changes in the ambient temperature. Concreting done in the summer is more susceptible to cracking due to the drop in temperature. in winter since thermal contraction and drying shrinkage act in unison. Whereas the concrete job done in the winter is less liable to cracking, though it may require wider expansion joints.
Generally speaking, thermal variation in the internal walls and intermediate floors is not great and thus does not cause cracking. It is mainly the external walls exposed to direct solar radiation, and the roof, which is subjected to substantial thermal variation, is more liable to cracking.
B. Chemical Reactions
Due to chemical reactions, materials used in construction result in an appreciable increase in the volume of materials. The internal stresses are set up in construction materials, which may result in outward thrust and hence form the wall cracks. The materials involved in chemical reactions also lose strength.
The soluble sulphates present in the soil, groundwater, or clay bricks react with the tricalcium aluminate content of cement and hydraulic lime in the presence of moisture. It forms products that occupy a much bigger volume than those of the original constituents. This expansive nature of materials results in the weakening of masonry, concrete, and plaster. Hence, the wall cracks due to a chemical reaction.
The alkali-reaction, or alkali-granulate reaction (AGR), is a chemical reaction between reactive aggregates and the alkalis contained in the cement. This reaction produces an expansion inside the concrete, which will create tension, swelling, and cracks.
There are three types of reactions:
C. Shrinkage Crackin
When concrete is mixed, more water than is needed for hydration is mixed with the dry components, such as sand, cement, and aggregate. Most of the water will eventually evaporate, causing shrinkage in the concrete slab.
Since water evaporates from the surface, which is exposed to air, at a rate different from the underlying concrete, this differential shrinkage rate produces tensile stresses, which are relieved by cracking of the concrete near the surface.
Types of shrinkage in concrete
There are two types of shrinkage in concrete:
Initial shrinkage cracks in concrete
Initial shrinkage cracks in concrete normally occur in all building materials or components that are cement or lime - based, such as concrete, mortar, masonry units, plaster, etc., and are one of the main causes of cracking in structures. Initial shrinkage in concrete and mortar occurs during the construction of structural members due to the drying out of moisture. The initial shrinkage of concrete is partly reversible if moisture is maintained in the concrete, but it becomes irreversible when the concrete becomes dry. During curing, due to subsequent wetting and drying, this shrinkage exceeds and a crack is developed in the concrete.
Extent of Initial Shrinkage in Concrete
The extent of initial shrinkage in cement concrete and cement mortar depends on a number of factors, including:
a. Cement Content: It increases with the richness of the mix.
b. Water Content: The greater the water quantity used in the mix, the greater the shrinkage.
c. Maximum size, Grading, and Quality of Aggregate: With the use of the largest possible maximum size of aggregate in concrete and with good grading, the requirement of water for desired workability is reduced, with consequently less shrinkage on drying due to a reduction in porosity. E.g., for the same cement aggregate ratio, the shrinkage of sand mortar is 2 to 3 times that of concrete using 20 mm maximum size aggregate and 3 to 4 times that of concrete using 40 mm maximum size aggregate.
d. Curing: If the proper curing is carried out as soon as the initial set has taken place and is continued for at least 7 to 10 days, then the initial shrinkage is comparatively less. When the hardening of concrete takes place in a moist environment, there is initially some expansion, which offsets some subsequent shrinkage.
e. Presence of Excessive Fines in Aggregates: The presence of fines increases the specific surface area of aggregate and consequently the water requirement for the desired workability, with an increase in initial shrinkage.
D. Design Mistake
Common design and detailing errors in construction arise due to either inadequate structural design or a lack of attention to relatively minor design details.
Contents
Types of Design and Detailing Errors in Construction and Their Prevention
Due to inadequate structural design, the concrete is exposed to greater stress than it can handle, or the strain in the concrete increases more than its strain capacity and fails.
The symptoms of such failures due to inadequate structural design show either spalling of concrete or cracking of concrete. Excessively high compressive stress due to inadequate structural design results in spalling of concrete. Also, high torsion or shear stresses result in the spalling or cracking of concrete. High tensile stresses also result in the cracking of concrete.
To identify the inadequate design as the cause of the structural damage, the structure shall be inspected, and the locations of the damage should be compared to the types of stresses that should be present in the concrete. For rehabilitation projects, thorough petrographic analysis and strength testing of concrete from elements to be reused will be necessary.
2. Poor design details
Poor design details can cause localised concentrations of high stresses in structural members even if the design is adequate to meet the requirements. These high stresses may lead to cracking of the concrete that allows water or chemicals to pass through the concrete. Thus, poor design details may lead to seepage through the structural members.
Poor design detail may not lead to structural failure, but it can become the cause of the deterioration of concrete. These problems can be prevented by a thorough and careful review of the plans and specifications for the construction work.
Types of poor design detailing and their possible effects on structures are discussed below:
a. Abrupt Changes in Section: Abrupt changes in the section may cause stress concentrations that may result in cracking. Typical examples would include the use of relatively thin sections rigidly tied into massive sections or patches and replacement concrete that is not uniform in plan dimensions.
b. Insufficient Reinforcement at Corners and Openings: Corners and openings also tend to cause stress concentrations that may cause cracking. In this case, the best prevention is to provide additional reinforcement in areas where stress concentrations are expected to occur.
E. Corrosion of Reinforcement
Normally, concrete provides good protection for steel reinforcement embedded in it. The protective quality of concrete depends on its high alkalinity and relatively high electrical resistivity. of protection depends upon the quality of concrete, depth of concrete cover, and workmanship.
However, when the reinforcement steel gets corroded, it increases in volume with the setting up of internal stress in concrete. In the course of time, it first causes cracks in the line with the direction of reinforcement, later causing spalling of the concrete and the covering of reinforcement from the body of the concrete. thus seriously damaging the structure.
Factors that contribute to the corrosion of reinforcement in concrete are:
F. Vegetation
Concrete contains microscopic cracks that are invisible to the naked eye. Plants have new cell growth at the tips of their roots. As the plant grows, so does the root system. The sensitive tips of the roots have the power to seek the path of least resistance for growth. Microscopic concrete cracks present this path for plants growing beneath the sidewalk.
Once a plant’s roots discover a microscopic crack in the concrete, they force their way into the slab. Even small weeds and seedlings have the power to displace concrete using the potential energy from root growth. Over time, the plant’s continued growth can crack, break, or buckle the surrounding concrete, at which point you may see the plant break through the surface.
Tree roots present an even bigger potential problem for concrete surfaces. They move through cement in the same way as smaller plants, but with much greater potential energy. Trees near your concrete areas could push roots beneath and through the surface, causing expensive damage and dangerous cracks in the slab. You may have to cut the roots or even remove the tree to permanently resolve this problem.
G. Earthquake
Cracks and movement are to be expected even in moderate seismic events. Many factors will need to be considered to determine the ability of the structure to continue to provide safe shelter; however, a few quick checks can help put worried minds at ease. Let’s discuss a little bit about how buildings are intended to function during a seismic event so we can see why those cracks might show up. Most structures transfer lateral loads, such as wind or seismic, to the foundation through shear walls, braces, or moment frames. The stiffness of the individual elements will control how much the structure moves under load. Flexible structures, such as moment frames that resist lateral forces through bending of the beams and columns, allow for large movements. Typical home construction utilises shear walls, which transfer loads primarily through shear in the plywood.
Interior wall finishes are typically more stiff and brittle than the structure itself. It is expected that these brittle finishes that have a very low tolerance for movement will crack as the larger and more flexible parts of the structure begin to move.
Shear walls can be very strong, but unavoidable features will create weak points in the walls. Doors and windows perforate shear walls and create areas that are prone to additional flex and rotation where headers frame full-height walls. It is common to find cracks that propagate from the corners of doors and windows since these areas act as hinges and rotate as the building moves back and forth. These cracks that run diagonally from perforations are generally of little concern to the integrity of the building.
Not all walls in a typical home are going to be designated as shear walls. Many interior walls are considered partition walls and are just along for the ride. It is common to find vertical cracks where partition walls intersect other walls or horizontal cracks where these walls intersect roof or floor structures above. These cracks form because the finish is unable to hold together the difference in movement between walls and do not indicate a failure.
Significant cracks in buildings will typically occur somewhere in the middle of the wall and run roughly horizontally. These cracks indicate that slippage or rupture of the plywood may have occurred, which will reduce the capacity of the wall. Of course, any floors or roofs that begin to sag or become uneven could indicate a problem. Walls that become noticeably out of plumb, especially if they are exterior walls, may also indicate hidden damage. Any of the aforementioned conditions should be evaluated by a professional.
It is also worth noting that existing cracks may go unnoticed until after a seismic event, when people are typically looking for damage. See if you can figure out if the crack has been there for a while. Maybe there is dust inside the crack or the colours have faded.
H. Elastic Deformation
Structural components of a building undergo elastic deformation due to dead and superimposed live loads, in accordance with Hook's law. The amount of deformation depends on the elastic modulus, the magnitude of loading, and the dimension of the component. This elastic deformation, under certain circumstances, causes cracking in the building as follows:
I. Poor Restore And Renovation
After a certain time period, every structure wishes to be repaired and maintained. Some structures no longer want a completely early appearance, while others may additionally need a very close look at their deterioration troubles. It is usually better and wiser to become aware of troubles before they cause any harm. Poor restoration and renovation of cracks in structures can have serious consequences, leading to further damage and potentially compromising the safety and stability of the structure.
Here are some issues that can arise from poor restoration and renovation of cracks:
To avoid these issues, it is important to ensure that cracks in structures are properly assessed and that appropriate restoration and renovation methods are applied. This may involve the use of specialised materials, techniques, and equipment and should be carried out by qualified professionals with experience in structural restoration and renovation.
III. FACTORS AFFECTING THE FORMATION OF CRACKS
A. High-cycle Fatigue Cracking
Repetitive loading at moderate stresses can result in the formation of fatigue cracks and possibly failure. These cracks are generally attributed to vibrations, rubs, or resonant frequency events. The stages of fatigue cracking include the accumulation of material damage, crack initiation, crack propagation, and ultimately final failure. At the common frequencies experienced by gas turbines, cycles accumulate rapidly. Endurance limit cycles in the order of 107 can occur within hours or days. Therefore, parts are designed to avoid experiencing cyclic stress intensities or events that would result in fatigue crack formation.
While NDT methods can detect cracking, metallurgical analysis is used to determine the nature of crack initiation and the reparability of the remainder of the blade set. Efforts are made to determine if crack initiation was due to an isolated cause (i.e., impact, material defect, etc.) or if the entire set was susceptible (i.e., resonant frequency). Once identified as fatigue cracking, further investigation as to the engine condition responsible for the elevated loading may be warranted.
B. Drying Shrinkage
When concrete dries, it contracts or shrinks. When it is wet, it expands. The expansion does not occur to the same extent as the shrinkage. These volume changes, along with changes in moisture content, are an inherent characteristic of hydraulic-cement concrete. The change in moisture content of cement paste causes concrete to shrink or swell. Aggregate reduces the unit volume of cement paste and provides an internal restraint that significantly reduces the magnitude of these volume changes in concrete. In addition to drying shrinkage, the cement paste is also subject to carbonation shrinkage. Shrinkage results from the cracking of concrete due to drying shrinkage. 224R-12 ACI COMMITTEE REPORT: effects of carbon dioxide on the chemical changes of calcium silicate hydrate and crystalline-hydration products and the drying of the pores by removing absorbed water Calcium hydroxide will form calcium carbonate by reacting with atmospheric carbon dioxide.
Because carbon dioxide does not penetrate more than about 12 mm (0.5 in.) into the surface of high-quality concrete with low porosity, carbonation shrinkage is of minor importance in the overall shrinkage of most concrete structures. Carbonation does, however, play an important role in the shrinkage of small laboratory test specimens and structures constructed with low-quality, porous concrete, particularly when subjected to long-term exposure to drying. The amount of carbonation shrinkage observed on a small laboratory specimen can be greater than the shrinkage of the concrete in the structure. This effect results from the greater surface area-to-volume ratio in smaller specimens.
There are so many factors that may cause drying shrinkage; some of them are listed below:
2. Due to the relative humidity of the surroundings
3. Due to a lack of curing
4. Due to the use of excessive cement content compared to its design requirements
5. Due to improper compaction and moisture content
6. Due to the size of the aggregate used and the mix proportion,
7. Due to the geometry of the concrete member,
8. Due to improper use of minerals and chemical additives
9. Due to a lack of control joints
IV. PREVENTIVE MEASURES
A. To prevent Cracks Due to Thermal Movement
B. To prevent Cracks Due to Chemical Reaction
C. To Prevent Cracks Due to Shrinkage Cracking
Concrete tends to shrink due to drying whenever its surfaces are exposed to air with low relative humidity or high winds. Because various kinds of restraint prevent the concrete from contracting freely, cracking should be expected unless the ambient relative humidity is kept near 100%. The control of cracking consists of reducing the cracking tendency to a minimum, using adequate and properly positioned reinforcement, and using contraction joints.
D. To Prevent Cracks Due to Design Mistake
E. To Prevent Cracks due to Corrosion of Reinforcement
Corrosion of reinforcement bars may be prevented or at least delayed by practicing good measures. Also, damaged steel bars can be repaired, and the concrete structure can be restored properly. Some measures are given below:
F. To prevent Cracks Due to Vegetation
G. To Prevent Cracks Due To Foundation Movement And Settlement Of Soil
H. To Prevent Cracks Due To Elastic Deformations
As far as possible, all framework should be completed before taking up the masonry work of cladding and partitions, which should be started from the top storey downward.
V. CASE STUDY
For better understanding and gaining knowledge about the project, our team visited a site which had cracks in the building.
a. Residential
b. Load bearing structure
4. Salient Features of Building
a. Wall Type: Brick wall
b. Grade of concrete for column and beam: M20
c. Type of Soil: Black cotton soil
5. Types of Cracks
Non-structural cracks
a. On a Concrete Background
Shrinkage cracks occur due to the following causes:
b. For Prevention of Such Cracks
Plastering should be done as soon as feasible after the removal of shuttering by hacking and roughening the surface and applying cement slurry to the concrete surface to improve bond.
c. In Masonry Structures
6. To Prevent Such Cracks, The Following Measures May Be Adopted
Over flat roof slabs, a layer of some insulating material having good heat insulation capacity, preferably along with a high reflectivity finish, should be provided so as to reduce the heat load on the roof slab. In Western India, it has been a common practise to lay a layer of broken china in lime mortar over lime concrete terracing, which, because of its high reflectivity coefficient, reduces heat load on the roof and at the same time gives a good wearing and draining surface on the terrace.
Slip joint should be introduced between the slab and its supporting wall, as well as between the slab and the cross walls.
The slab should either project some length from the supporting wall or bear only part of the width of the wall. On the inside, wall plaster and ceiling plaster should be made discontinuous by a groove about 10 mm in width.
7. General Measures For Prevention Of Cracks
a. Non-structural cracks in buildings usually occur due to more than one cause, as already mentioned in the previous chapter; therefore, measures for prevention of cracks in many cases are common to more than one cause. Measures for the prevention of cracks could be broadly grouped under the following sub-heads:
b. Choice of materials
c. Specifications for mortar and concrete
d. Design of buildings (architectural, structural, and foundation)
e. Construction techniques and practises, and
f. Environment
VI. CHOICE OF MATERIALS
For selecting materials for building construction, the following precautions shall be taken:
A. Masonry Units
Only well-burned bricks should be used for masonry.Burnt clay bricks and other burnt clay products should not be used in masonry for a period of at least 2 weeks in the summer and 3 weeks in the winter after unloading from kilns. They should be kept exposed to the atmosphere during this period.
If the use of burnt clay bricks containing excessive quantities of soluble sulphates cannot be avoided, rich cement mortar shall be used for masonry, as well as plaster or super-sulphate cement. All possible steps shall be taken to prevent dampness in masonry.
B. Fine Aggregate
The use of fine aggregate for mortar and concrete that is too fine or contains too much clay or silt and is not well graded should be avoided. The percentage of clay and silt in fine aggregate (uncrushed) should not exceed 3 percent.
C. Coarse Aggregate
Coarse aggregate for concrete work should be well graded so as to obtain concrete of high density.
D. Cement
When the use of bricks containing excessive quantities of soluble sulphates is unavoidable, the content of cement in mortar should be increased or super-sulfated cement should be used.
If use of alkali-reactive aggregate is unavoidable, the alkali content of cement should not exceed 0.6 percent. If low-alkali cement is not economically available, use of pozzolanas should be made to check the alkali-aggregate reaction.
In massive structures, in order to limit the heat of hydration, low-heat cement should be used.
E. Calcium Chloride
Its use in concrete as an accelerator should be avoided as far as possible. If unavoidable, its quantity should be limited to 2 percent of the cement content.
F. Gypsum (Plaster of Paris)
Gypsum plaster (CaSO4) should not be used for external or internal work in locations that are likely to get or remain wet. It should be remembered that gypsum and cement are incompatible since, in the presence of moisture, a harmful chemical reaction takes place.
G. Mortar for Plaster
Mortar for plaster should not be richer than what is necessary in consideration of resistance to abrasion and durability. Plaster should not be stronger than the background; otherwise, due to shrinkage, it will exert sufficient force to tear off the surface layer of weak bricks.
Composite cement-lime mortar of a 1:1:6 mix or weaker for plaster work is less liable to develop shrinkage cracks as compared to plain cement mortar and should thus be preferred.
Plaster with coarse, well-graded sand or stone chips (roughcast plaster) is liable to suffer from fewer shrinkage cracks; hence, the use of such plaster on the external surface of walls, from considerations of cracking and resistance against penetration of moisture through walls, shall be preferred.
H. Mortar for Masonry Work
Rich cement mortar, which has high shrinkage, should be avoided. Composite cement-lime mortar should be preferred. Mortar for masonry should not contain excessive water.
While using concrete blocks or sand lime bricks as masonry units in non-load-bearing walls, the use of rich cement mortar should be avoided. 1:2:9 in summer and 1:1:6 cement lime mortar for the work done in winter will be adequate.
I. Cement Concrete
The mix should not be richer than what is required for strength considerations. The aim should be to obtain strong and durable concrete through careful mix design, grading of aggregates, control of the water-cement ratio, thorough mixing, proper compaction, adequate curing, etc. An oversanded mix should be avoided. The quantity of water used in concrete should be the minimum, consistent with requirements for proper laying and compaction. This is one of the most important single factors responsible for shrinkage and consequent cracks in concrete.
J. Compaction
As far as possible, concrete should be compacted by vibration so as to allow the use of low-slump concrete. Concreting should not be done when it is very hot, dry, and windy. If unavoidable, quick drying of concrete should be prevented.
K. Curing
Curing should be done for a minimum period of 7 to 10 days for masonry and concrete works. It should be discontinued slowly so as to avoid rapid drying. It should start immediately after the initial setting of the concrete but before the surface sheen fully disappears.
VII. DESIGN OF THE BUILDING
A. Architectural Design
Factors that affect cracking are large spans of rooms, the provision of large windows in external walls, the introduction of short return walls in external elevations, etc. Doors and window frames should not be placed flush with the plastered surface; if unavoidable, the joint should be either concealed with moulding strips or a preventive arrangement made to avoid shrinkage.
B. Structural Design
Stresses in different parts of masonry walls should be more or less uniform so as to limit differential strain and the resultant shear stress and cracking. Slabs and beams should have adequate stiffness so as to limit deflection. Flexural cracks in concrete should be limited in width to 0.30 mm for protected internal members and 0.20 mm for unprotected external members. In a rigid structure, such as rigid frames and shells, since movement joints are not feasible, thermal and shrinkage stresses should be taken care of in the design.
Cracks are not a major criteria behind the failure of a structure if it is within the limit, which is suggested by the Indian standard code IS 456-2000 (i.e., plain and reinforced concrete-code of practise). Any structure or building should be designed for the limit state of collapse, but it must be checked against the limit state of serviceability, which includes cracking of the structure as well. And cracks can reduce its appearance, durability, and, some time, cause the structure to fail. Cracks are classified into structural and non-structural categories. The structural ones are due to faulty design, faulty construction, or overloading, which may endanger the safety of buildings. The non-structural cracks are due to internally induced stresses and the environment surrounding the structure or building. Depending on the width of the crack, these are classified as \"thin (2mm wide). In hot regions, water evaporates from the soil, which causes shrinkage or settlement of the soil. Shrinkage of soil or settlement of soil causes foundation cracks in plinth beams, which is not desirable as it results in collapse of any component of the building or whole structure. From an appearance point of view, it is not good as well as it does not perform a well-functioning function in the transformation of structural load to soil beneath the structure. By observing the case study on crack treatment, it is important to keep maintaining structures from time to time, or else it leads to injury, and in addition, costs will increase for future problems in structures that might arise. Cracks are repaired on the basis of their extent of formation and the cause behind their formation. On that basis, we select the method of repairing the crack and the crack repair product. Cracks are formed due to fluctuations in water level and the type of soil that is present on site; these two combinations depend on the situation and can cause cracks, sometimes major and sometimes minor, i.e., black cotton soil and water level fluctuations.
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Copyright © 2023 Vinayak Pavate, Akanksha Anuse, Sneha Dongale, Srushti Katkar, Anurag Pednekar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Paper Id : IJRASET54059
Publish Date : 2023-06-14
ISSN : 2321-9653
Publisher Name : IJRASET
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