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CHAPTER2
REVIEW OF LITERATURE
2.1 GENERAL
Ferrocement is a highly versatile reinforced composite material made of cement mortar
and layers of wire mesh, closely bound together to create a stiff structural form which
posses high strength to weight ratio. According to the definition given by ACI committee
549 in its state-of-the-art report on Ferrocement (ACI 549 R-97, 1997) is a type of "thin
walled reinforced concrete commonly constructed of hydraulic cement mortar reinforced
with closely spaced layers of continuous and relatively small diameter wire mesh".
Because of its excellent strength, cracking resistance and impact resistance, the
ferrocement has been used for housing units, as roofing or flooring elements, construction
of boats, water tanks, marine structures and grain silos etc. The strength is mostly derived
from curvilinear and undulating shape hence it can span long distance with reduced
number of costly supports.
A ferrocement construction unlike other sophisticated construction requires minimum
number of skilled labours and utilizes readily available local materials. Proper attention
should be required to control the quality of construction; otherwise the purposes of thin
shell ferrocement construction will be upset. To exploit the potential of ferrocement as a
construction material, a proper understanding of material behaviour under different
conditions is essential (Paramasivam et al., 2004).
The most important advantages of ferrocement are that it can be fabricated into almost
any desired shape to meet the need of the user. It is being extensively used in developing
countries like India, Indonesia and Srilanka for (a) Housing applications (b) Marine
application (c) Agricultural application (d) Rural energy application (e) Water and
5
Sanitation application and (f) Repair and maintenance applications (Mansur et al. 1987,
Paramasivam et al. 1990, Ganesan , 1994 ).
For highly stressed structures like boats, barrages etc, steel rods along with the wire mesh
is considered as a component of the reinforcement, imparting structural strength and
stiffness whereas in most of the terrestrial structures wire mesh is treated as the main
reinforcement. The reinforcement network should be securely welded or fastened
together, so that it remains in its original position during the application of mortar ( ACI
549R-97 1997, Swamy 1984 ). In highly reinforced structures, the arrangements of the
steel rod and mesh should be in such a manner that to allow adequate penetration of
mortar so as to resulting a void free dense material.
To obtain a good quality hardened mortar, the placing and compacting of the mortar must
be followed by proper curing in a suitable environment during the early stages of
hardening (Andal et al., 2003). The objective of curing is to keep the mortar saturated
until the originally water filled space in the fresh cement paste has been filled to the
desired extent by the products of hydration of cement.
Ferrocement is ideally suited for thin-walled structures. In addition to this many other
uses of ferrocement as a structural material are being explored throughout the world.
These includes sunscreens and sandwich wall panels for high rise buildings (Mansur
1987, Paramasivam 1990) permanent forms for conventional concrete construction,
biogas digesters, floor decks, swimming pools, water towers, small deck bridges, culverts
and ferrocement encloser for geotechnical centrifuge. Recently ferrocement has been
found to be extensively used in repair and maintenance of building (Romualdi 1987,
lorns 1987).
2.2 COMPARISON WITH REINFORCED CONCRETE
The major differences between the ferrocement and the conventional reinforced concrete
structural elements can be enumerated as follows (Swamy, 1984 ) .
6
a. Ferrocement elements are normally thin; thickness is rarely exceeding 25mm. But
conventional reinforced concrete structures are relatively thick sections exceeding
100mm.
b. Ferrocement normally contains a greater percentage of reinforcement. The
reinforcements consist of large amount of small diameter wires or wire meshes
discretely placed instead of reinforcing bars in reinforced concrete structures.
c. Ferrocement matrix mainly consists of Portland cement and sand as mortar
instead of concrete, which contains coarse aggregate.
d. In terms of structural behaviour, ferrocement exhibits very high tensile strength to
weight ratio and superior cracking performance than reinforced concrete
structures.
e. For the construction of ferrocement structures, formwork is often not needed.
This permits economical construction of certain structures such as domes, wind
tunnels etc.
2.3 ADVANTAGES OF FERROCEMENT
Ferrocement is a suitable technology for developing countries due to the following
reasons:
I. Ferrocement structures are thin and light.
2 It requires little or no formwork.
3 Its raw materials are readily available in most countries.
4 It can be fabricated to any desired shape.
5 The skills for ferrocement construction can be acquired easily.
6 Heavy plants and machinery are not involved in construction.
7 It is relatively inexpensive.
2.4 TERMINOLOGY USED IN REINFORCEMENT
Two important reinforcing parameters commonly used in charecterising ferrocement are
(i) Volume fraction of reinforcement and (ii) Specific surface of the reinforcement (ACI
549R-97 1997 , Ferrocement model code 200 I).
7
(a) Volume fraction of reinforcement: VR
It is the total volume of reinforcement per unit volume of ferrocement. For a ferrocement
reinforced with square meshes, V R is equally divided into V RL and V RT for the
longitudinal and transverse directions respectively.
Vn = V reinforcement-------------- (2.1)
V composite
The volume fraction of reinforcement can be divided into longitudinal and transverse
parts, that is
Vn = V RL + V RT -------------- (2.2)
(b) Specific surface of reinforcement: SR
It is the total bonded area of reinforcement (interface area) per unit volume of composite.
For a ferrocement unit square mesh, SR is divided into SRL and SRT in the longitudinal and
transverse directions respectively.
Sn = Total surface area of reinforcement -------------- (2.3)
Volume of composite
Sn can be divided into longitudinal and transverse components, that is
Sn =SRL + Snr -------------- (2.4)
The relation between SR and V R , when wire mesh are used in (ACI 549R-97, 1997).
SR 4VR , Where <p is the diameter of the wire
(f)
The total volume fraction of reinforcement VR in each direction should not be Jess than
1.8 percent (Ferrocement model code, 2001 ). The total specific surface of reinforcement
SR in both directions should not be less than 0.08 mm2/mm3. About 2 times these values
are recommended for water retaining structures. In computing the specific surface of the
reinforcement, any skeletal steel may be disregarded, but it should be considered in
computing V R (Ferrocement model code, 2001 ).
8
2.5 FERROCEMENT FLEXURAL ELEMENTS
The flexural behaviour and properties of ferrocement have been extensively investigated
by number of researchers. Ferrocement roofs, floor slabs, beams etc. are gaining
importance now a day. In these cases ferrocement element is subjected to flexural action.
When compared to RCC element the tensile strength to weight ratio of ferrocement is
large. The ultimate moment in the case of R.C.C is a property of the section since the
matrix in the tensile zone of the bending element is fully cracked and do not contribute to
the resistance at the ultimate stage, where as in the case of ferrocement, it is not so.
2.6 REVIEW OF STUDIES ON FERROCEMENT FLEXURAL ELEMENTS
A large number of experimental and analytical studies have been reported in this area.
The strength of flexural members can be predicted by analysing ferrocement as a
reinforced concrete member using the ACI Building Code (ACI 318-08, 2008 ). Different
analytical methods proposed by the researchers to predict the ultimate moment carrying
capacity of ferrocement gives satisfactory correlation with experimental values. The
design requirements of ferrocement includes volume fraction, specific surface,
percentage of reinforcement, orientation of reinforcement and the severability
requirements such as deflection and crack width (Balaguru et al., 1977 ). Expanded
metal and square welded mesh in their normal orientations are most effective in flexure
than any other types of reinforcement. But hexagonal mesh is particularly suited to
complex doubly-curved section, square mesh to single-curved sections and expanded
metal to planar sections. The maximum crack width in tension and flexural members for
square mesh reinforcement can be predicted by using the approaches described in
reference (Mansur, 1988). The research work carried out in the field of flexural
behaviour of ferrocement elements in Asia, Europe and USA are discussed here in the
following heads.
9
2.6.1 STUDIES FROM ASIA
In the early 1940' s Pier Luigi Nervi (ACI 549R-97, 1997) resurrected the original
ferrocement concept. After the Il0d World War, Nervi demonstrated the utility of
ferrocement as a boat-building material. The International Ferrocement Information
Center (IFIC) at the Asian Institute of Technology was established in Bangkok, Thailand
in 1976. Now ferrocement is very extensively used in the production of structural
elements in repair and maintenance work (Romualdi , 1987 ).
Mansur and Paramasivam (1986) conducted an experimental and analytical
investigation on flexural behaviour of ferrocement element to study the cracking
behaviour and ultimate strength. Based on the concept of plastic analysis a method is
proposed to predict the ultimate moment capacity of ferrocement and which is in good
agreement with the experimental values. From the study it was established that the first
crack moment and ultimate moment were increased with increase in matrix grade and
volume fraction of steel. They also concluded that higher volume fraction of steel
provides more effective control of crack width.
Walkus (1986) made an attempt to determine the parameter to perform the testing of
material of ferrocement, new laws for defining the properties of the structure and
equipments for testing and measuring devices to determine the deformation and cracking.
Atsushi Shirai and Yoshihiko Obama (1988) conducted an experimental study to check
the improvement in flexural behaviour and impact resistance of ferrocement by the use of
polymer. From their study, they found that first crack load, ultimate load and cracking
resistance were increased and the occurrences of cracks and increase in number of cracks
were considerably restrained by the addition of polymers. Impact resistance is also
increased by the use of polymer modified mortar.
10
Karunakar Rao and Jagannadha Rao (1988) proposed a theory for the computations of
ultimate moment of ferrocement structural elements based on the experimental evidence
for the crack patterns, extent and propagation of cracks.
Desayi et al. (1988) proposed a bi-linear method to predict the deflections and another
two methods for crack formation and ultimate moments of ferrocement elements. These
methods are found to give satisfactory agreement with test data.
Ganesan and Suresh Kumar (1988) carried out an experimental investigation to study
the effect of discrete short steel fibres on the strength and behaviour of ferrocement
structural elements of channel cross-section. The results indicated that the addition of
steel fibres increases the strength and energy absorption capacity of ferrocement
elements.
Desai and Desai (1988) developed and tested ferrocement roofing elements of different
shapes, in order to check the suitability and load carrying capacity for low cost housing.
The study concluded that out of all the shapes considered, folded shaped ferrocement
elements exhibited higher stiffness and ultimate moment carrying capacity. Also it was
proved that the cost of ferrocement folded plate element is about 15 to 25% less than that
of the asbestos cements sheets.
Lohtia et al. (1988) conducted an experimental study on flexural behaviour of
ferrocement slabs. They observed that cracking pattern for ferrocement slab is quite
different from that of RCC slabs. In ferrocement slabs the cracks are numerous and much
more fine and distributed over larger area than in the case of RCC slabs. Also it was
found that ferrocement slabs have greater extensibility and higher reserve strength than
RCC slabs.
Rao and Rao (1988) carried out an investigation to evolve an acceptable and rational
method for computing the ultimate moment of resistance of ferrocement channel units.
Their study indicated that the analysis of crack pattern and deflections gave an insight
11
into the mechanics of the mobilization of moment of resistance of the ferrocement
channel unit.
Ganesan et al. (1988) conducted an experimental study on development and proof
testing of a ferrocement roofing system. The development and proof testing of a
composite roof I floor system consists of partially prefabricated ferrocement trough units
and in situ concrete topping. The tests were intended mainly to study the flexural
behaviour of partially prefabricated ferrocement trough unit as an individual element and
also as a composite element with in-site concrete. The results showed that the structural
behaviour of the ferrocement trough units as well as the composite units was found to be
quite satisfactory.
Naaman (1989) conducted a study on the different levels of technology used in
ferrocement housing products. The study suggested that common housing requirements
could be satisfied from a pool of about fifteen standard panel configurations. Box shaped
panels were considered for the walls and lintels, while U shaped panels were considered
for flooring and roofing.
Vijay Raj (1990) conducted an experimental and theoretical study to predict the
structural behaviour of large span bamboo ferrocement elements for flooring and roofing
purposes. The study concluded that the large span bamboo ferrocement slab should have
a thickness of 40mm to meet the requirements of roofing and flooring elements of
reinforced buildings. Also they concluded that the cost of bamboo ferrocement slab was
only 70% of the ferrocement slab.
Mathews et al. (1991) carried out an analytical and experimental investigation of
cracking load, ultimate load, deflection, crack spacing and crack width of a hollow
ferrocement roofing system. The test results confirmed that the system has adequate
strength, stiffness and other serviceability requirements for residential applications. The
predicted theoretical values are in good agreement with experimental values.
12
Desayi et al. (1992) carried out an experimental investigation to study the first crack
strength and modulus of rupture of light weight fibre reinforced ferrocement in flexure.
From the study they found that volume fraction of steel fibre control the modulus of
rupture and first crack strength of ferrocement elements. They also developed an equation
to predict the first crack strength and modulus of rupture.
Wail AI-Rifaie and Arsalan Hassan (1994) carried out an experimental and theoretical
study on the behaviour of ferrocement one-way bending elements. Elements of different
spans and widths were chosen to study their relative feasibility for adoption to roofing of
small size residential houses. As the result of investigation it was concluded that one-way
bending element undergo large deflection before failure and this is mainly attributed to
the reinforcements. Also they found that, due to the increase in flange width, the ultimate
load capacity is decreased but the ratio of ultimate load capacity to the first cracking load
is increased due to the increase in span length.
Mathews et al. (1994) conducted a study in planning aspects of ribbed ferrocement
elements for low cost housing considering the principles of modular co-ordination. The
study concluded that construction procedure can be made simple by the adoption of
modular co-ordination and by the use of simple manufacturing plant; mass production for
the elements can be easily achieved.
Ganesan and Suresh Kumar (1994) had done an experimental investigation on
prediction of moment capacity of fibrous ferrocement flexural members. The main
objective of this study is to determine the effect of randomly oriented short discrete steel
fibers on the strength and behaviour of ferrocement flexural elements. The results
indicated that the addition of steel fibres increases the moment capacity of ferrocement
flexural elements significantly. A method for the prediction of the moment capacity of
the element was proposed in this study.
13
Hossain et al. (1997) conducted a study to develop an analytical model for flexural and
tensile behaviour of ferrocement plates in the pre and post cracking stages. From the
study they established that two-way ferrocement slabs can take 10%-30% more loads
than that of the one way slabs.
Mansur et al. (2000) carried out at flexural test on thin walled ferrocement structural T,
inverted T and symmetrical I-section to facilitate rapid assessment of flexural strength
and expedite the design charts for structural section. They developed typical design charts
and indicated the existence of considerable ductility for thin wall pandas suggesting that a
rigid plastic analysis should be applicable to predict their ultimate moment capacities.
AI-Kubaisy and Mohd Zamin Jumaat (2000) has carried out at a study on flexural
behaviour of reinforced concrete slabs with ferrocement tension zone cover. The
variances are percentage of wire mesh reinforcement in the ferrocement cover layer,
thickness of the ferrocement layer and the type of connection between the ferrocement
layer and the RCC slab. The results showed that the use of ferrocement cover slightly
increases the ultimate flexural loads and first crack loads and reduces the crack width and
spacing's.
Seshu (2000) conducted an experimental study on ferrocement confined reinforced
concrete beams. Their study concluded that confinement by ferrocement shell improve
the moment carrying capacity by about 9 to 15% and also increases the first cracking
moment.
Rathish kumar and Rao (2000) carried out an experimental investigation to study the
stress-strain behaviour of ferrocement confined reinforced concrete (FCRC) under axial
compression by varying the specific surface factor and confinement index. Study
concluded that improvement in ductility is proportional to the specific surface factor of
ferrocement for a given confinement index.
14
Mansur et al. (2001) conducted an investigation to find the shear strength of ferrocement
structural sections. The study concluded that the flexural cracks occurred initially
irrespective of the span/depth ratio but first cracking and ultimate load were decreased
when the span/depth ratio was increased.
Imam et al. (2002) undertaken a study to simulate deflection and stress behaviour of
different type of roofing elements by finite element techniques. From the investigation
they established that the numerical results are matching quite well with the experimental
results. The principal stresses are less in the segmental shell element and this is most
economical shape as a roofing element.
Vijaya and Hedge (2003) conducted an experimental study on ferrocement confinement
of concrete beams made of brickbat and recycled concrete aggregate. Their study proved
that there was a significant increase in stiffness, strength and ductility of the beam due to
ferrocement confinement.
Andal et al. (2003) carried out a study on the flexural strength and impact resistance of
ferrocement specimens cured under seawater and ordinary water. They found that due to
the penetration of seawater in ferrocement elements, the sea water cured specimens
showed a reduced strength in flexure and impact.
Jaganathan et al. (2003) studied the suitability of polymer mesh as an alternative for
reinforcement in ferrocement flexural elements. The results indicated that the four
layered polymeric mesh reinforcement ferrocement element satisfy the IS requirements
such as lower deflection, higher young's modulus, comparable flexural strength and
reduction in crack width with increase in number of layers of mesh.
Veerappa Reddy (2003) conducted a study on industrialised production of innovative
ferrocement element. Study describes the industrial production of ferrocement elements
such as sumps and septic tanks, precast modular community toilets and pretensioned
undulated length sections for long spans.
15
Ramesh et al. (2003) conducted an experimental investigation on the behaviour of
Hybrid Ferro-Fibre concrete under axial compression. Parameters varied are specific
surface factor, reinforcing index of the fibre reinforced concrete. The results indicated
that the combined use of ferrocement and fibres has improved the ultimate strength, strain
at ultimate strength and the ductility of reinforced concrete. The improvement is
proportional to the specific surface ofreinforcement.
Jaganathan and Sundararajan (2004) carried out an experimental and theoretical
investigation to study the flexural behaviour of ferrocement slabs reinforced with 3-5
layers of polymer mesh as an alternative form of reinforcement. From the study it was
observed that polymer mesh reinforced ferrocement slabs exhibit the same linear elastic
behaviour up to the first crack load.
Paramasivam et al. (2004) conducted a detailed investigation on the origin, suitability
and application of ferrocement composite. The authors' discussed about the R&D works
done on ferrocement element and its applications such as sunscreens, secondary roofing
slabs, water tanks and repair material in building industries. The salient features of the
design, construction and performance of some of these applications of ferrocement
structural elements are highlighted.
Bhaskar Desai et al (2004) conducted an experimental investigation on the flexural
bahaviour of superplasticised partially cement replaced silica fume ferrocement elements
with shear span to depth ratio and with number of mesh layers as variables. The study
concluded that 10% of silica fume can be taken as the optimum dosage to replace cement
for giving maximum possible compressive strength, split tensile strength and modulus of
elasticity. Also found that the ultimate flexural strength increases with the increase in %
of silica fume up to 10% for a given shear span/ depth (a/0) ratio and a given number of
wire mesh layers.
16
Hago et al. (2005) conducted an experimental study on ultimate and service behaviour of
ferrocement roof slab panels. The study aimed at to determine the ultimate and service
behaviour of ferrocement roof slab panels. The results showed that the use of monolithic
shallow edge ferrocement beams with the panels considerably improves the service and
ultimate behaviour of the panels irrespective of the number of steel fibres.
Andal et al. (2005) carried out an experimental study on behaviour of ferrocement
flexural members with polymer modified mortar. The main objective of this study was to
determine the flexural strength of ferrocement element of size I 000mm x 200mm x
25mm with cement sand mortar 1: 1 and water cement ratio as 0.3. The variances used in
the study are different volume fraction of reinforcement, different percentage of SBR
polymer and different percentages of the Recrone 3S fibres. This study showed that
12.5% of SBR latex by weight of cement and a volume fraction of 3% gave the higher
collapse load.
Prem Pal Bansal et al. (2006) conducted an experimental study on effect of different
bonding agents on strength of retrofitted beams using ferrocement laminates. Study done
to determining the effect of retrofitting of beams using ferrocement laminates bonded
with cement slurry, epoxy and shear connectors. The study concluded that, the third point
loading on all the specimens showed reduced crack width, increased crack spacing, large
deflection at ultimate load and a significant increase in ductility ratio.
Prakash and Patil (2007) conducted an experimental study on effect of addition of silica
fume on strength characteristics of fibrous ferrocement using round steel fibres. Study
indicates that fibrous ferrocement is a combination of ferrocement and fibre reinforced
concrete, shows better improvement in the mechanical properties such as toughness and
impact resistance. This composite also shows higher compressive, tensile and impact
strength.
17
Anila kumar et al. ( 2007) carried out an experimental investigation to study the effect
of addition of SBR polymer in different proportion to polypropylene fibre reinforced
concrete. The results indicated that the addition of SBR polymer to the fibre required
concrete increases the workability and increases the compressive strength, tensile
strength and flexural strength.
Prakash and Patil (2007) carried out an investigation on the effect of sustained
temperatures on the strength properties of fibrous ferrocement containing steel fibres. The
study concluded that the compressive strength, flexural strength and impact strength of
fibrous ferrocement can be enhanced either by increasing percentage of steel fibres or by
increasing specific surface area of welded mesh and chicken mesh in sustained
tern perature.
Sudhikumar and Prakash (2007) conducted a test to find the compressive strength,
flexural strength and impact strength with slurry infiltrated fibrous ferrocement with
superplasticiser. The result of the study indicated that there is increase in compressive,
flexural and impact strength with increase in the partial replacement of metakaolin with
increasing temperature.
Patil and Prakash (2007) made an attempt to study the effect of replacement of cement
by fly ash on the strength characteristics such as compressive strength, flexural strength
and impact strength of fibrous ferrocement using flat steel fibers. The percentage of flat
steel fibres were varied from 0% to 2% with the increment of 0.5%. The cement was
replaced by fly ash in different percentages like 5%, 10%, 15%, 20% and 30% etc.
Prem Pal Bansal et al (2007 ) conducted a study on shear deficient RC beam initially
stressed to a prefixed percentage of the safe load, are retrofitted using ferrocement. To
increase the strength of beam in both shear and flexure, the wire mesh is placed at an
angle 45° to the longitudinal axis of the beam. From the study it was concluded that the
safe load carrying capacity of rectangular RC elements retrofitted with ferrocement
laminate is significantly increased with mesh oriented at 45° .
18
Patil and Prakash (2007) carried out an experimental investigation in effect of addition
of silica fume on strength characteristics' of fibrous ferrocement using round steel fibres.
Study concluded that the addition of round steel fibres in ferrocement composite shows
better improvement in some of mechanical properties, such as toughness and impact
resistance.
Laigude Atual et al. (2007) conducted a study of micro structural analysis with different
combination of wire mesh reinforcements. Panels' of different combinations were tested
for flexure under uniformly distributed load and its deflection and cracking patterns were
observed and studied.
2.6.2 STUDIES FROM EUROPE
The use of ferrocement as roofing for large span has been successfully used in many
European and South American countries. Large ferrocement roofs have been constructed
in Italy.
Onet and Magureanu (1993) made an attempt to study the flexural behaviour of
ferrocement beams under long term loading. Their results indicated that the long-term
deflection influences the behaviour of beams much more than the instantaneous one.
Mattone (1995) conducted a study on design and testing of a ferrocement roofing
element. This study proposed operational stages for the development of a simple roofing
element and equipment necessary for the small-scale production.
Gurdev singh and Guang Jing Xiong (1995) performed a study on rational assessment
of flexural fatigue characteristics of ferrocement for reliable design. Study based on a
stress-life (S-N) plot and a new method proposed based on a probability -stress-life (P-S
N) for the design of the flexural fatigue characteristics of ferrocement. Study concluded
that a rectangular stress distribution is relatively more reliable and economical for
19
predicting stress when designing ferrocement against fatigue by usmg the P-S-N
relationship of wire tested in the air.
Ramesht and Vickridge (1996) made an attempt to develop a computer program
F AOFERRS to predict the ultimate moment of ferrocement under flexure. The study
proved that the F AOFERRS program has in good agreement with the experimental values
and it is easy to use.
Nedwell and Nakassa (1999) carried out an experimental investigation into high
performance ferrocement. The results showed that stainless steel and silica fume improve
the first crack load, increase the number of cracks and decrease the crack width m
addition to the cost effectiveness.
Pankaj et al. ( 2007) carried out a study on mechanical behaviour of ferrocement
composite- numerical simulation. Authors proposed an anisotropic elastoplastic models
to simulate the mechanical behaviour of ferrocement plates. The study indicates that the
mortar ferrocement layered model with orthotropic ferrocement layers performs the best.
Also determined that, a single set of material properties can be used to simulate the
behaviour of ferrocement plates under in-plane as well as out of plane loading.
2.6.3 STUDIES FROM USA
Naaman and Homrich (1986) proposed a general methodology for the analysis and
design of ferrocement flexural elements. The proposed method and the developed design
charts are very simple and could be used to predict the flexural resistance of ferrocement
element.
Balaguru et al (1990) proposed an analytical model to study the ductility of ferrocement
flexural element. The study concluded that the type of reinforcement distribution and
reinforcement ratio affects the ductility only to a small extent but ductility increases for
20
thin section. The literature shows that ferrocement flexural elements of different shapes
can be very effectively used as roofing I flooring element in developing countries.
Hani et al. (2004) have done an experimental and analytical investigation on ferrocement
concrete composite beams made of reinforced concrete overlaid on a thin section of
ferrocement. Various types of beam specimens with different types of meshes are tested
under a two point loading system up to failure. Study concluded that the proposed
composite beam has good ductility, cracking strength and ultimate capacity.
In this thesis an attempt was made to obtain an optimum ferrocement sections. So a brief
review on optimisation techniques was done. A literature review of studies done on
optimisation of ferrocement elements and reinforced cement concrete elements are given
below:
Many researches have been carried out in various optimisation techniques to optimise the
cost of construction of different shaped ferrocement elements and for the design of
reinforced concrete structures (Rajeev et al., 1998).
Goldberg (1989) has given an introduction to Genetic Algorithm (GA) approach for
engineering optimisation. This has significant applications in structural optimisation
problems. Many investigators made use of this approach for optimising the shape and
cross-section of structural elements.
Rajeev and Krishnamoorthy (1992) extended the application of GA into discrete design
variables for optimising the minimum weight of steel trusses, considering the deflection
and buckling strength as constraints.
Syam Prakash, Rajeev and Mathews (1995) carried out an analytical study to obtain an
optimal design methodology for ribbed ferrocement roofing/flooring elements using GA.
The variables considered were the cross sectional shape and the details of reinforcement.
21
The study concluded that the GA based design optimisation methodology provides
techniques for modelling in a realistic manner which leads to rational solution.
Kalyanmoy Deb (2004) has published a book on an introduction to Genetic Algorithms.
The author identified that a simple genetic algorithm is an optimisation technique that
relies on parallels with nature, and a simple analogy can be made with a mathematical
problem, made up of many parameters. These parameters can take the place of a
chromosome in the mathematical analogy of a real chemical sequence. Author suggested
the steps and the operations of the simple genetic algorithms.
Govindraj and Ramasamy (2006) have published a paper on optimum design of
reinforced concrete rectangular columns using Genetic Algorithms. Their study
concluded that the optimum design model using GA provides an ideal technique to model
practical design considerations such as predefined discrete variations in breadth and
depth of column sections, detailing and placing of reinforcement bars. They have
proposed a new optimisation technique which is less mathematically complex.
Pranab Agarwal and Anne M. Raich (2006) carried out a study on design and
optimisation of steel trusses using GA parallel computing and human computer
interaction. Authors conducted study on a hybrid structural design and optimisation
methodology that combines the strength of GA to evolve optimal truss systems. The
application of GA to the design and optimisation of truss system supports conceptual
design by facilitating the exploration of new design alternatives.
Castilho and Lima (2007) conducted an analytical study on cost optimisation of lattice
reinforced joist slabs using Genetic Algorithm with continuous variables. The results
indicate that the GA method is a viable optimisation tool for solving cost optimisation
problem for lattice reinforced joist slab.
22
2.7 BEHAVIOUR OF FERROCEMENT UNDER FLEXURE
The following are the assumption made in the flexural theory of ferrocement ( Paul and
Pama 1978, Swamy 1984 ).
I. Plane sections remain plane and perpendicular to the neutral axis, i.e. the strain in
mortar and reinforcement is directly proportional to their distance from the
neutral axis.
2. The behaviour of reinforcement is elastic perfectly plastic i.e. for stress less than
yield strength, steel stress is proportional to strain and after yielding stress in steel
remains constant at the yield strength,J;,.
3. Tensile strength of mortar is neglected in flexural strength calculation of cracked
beams.
4. Maximum usable compression fibre mortar strain is 0.003.
5. For strength calculations at ultimate load, the parabolic stress-strain distribution
of mortar can be approximated to a rectangular distribution.
The behaviour of ferrocement in flexure can be analysed using a typical load deflection
plot.
The load deflection curve can be divided into three regions or stages namely: (Paul and
Pama 1978, Md. Zakaria et al. 1997 )
(a) Pre-cracking stage,( b). Post cracking stage and ( c) Post-yielding stage
a. Pre Cracking stage
Ferrocement has the highest stiffness in the pre-cracking stage. In this stage mortar
contributes to both compressive and tensile resistance of the composite. The strength
and stiffness of the beam can be calculated using the classical bending theory.
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b. Post Cracking Stage
The post cracking stage starts with the occurrence of the first crack. This stage extends
up to the point when the extreme fibre of reinforcement starts yielding. The load
deflection behaviour in this stage of loading represents the behaviour of ferrocement in
field conditions where almost all beams are cracked in the tension zone but the stress in
the extreme tension fibre is well within the yield strength.
The moment of resistance of the beam can be calculated by using the classical bending
theory as in the case of pre-cracking stage. However, since the section is cracked, some
modifications have to be made. This is because, after cracking, the tensile force
contribution of mortar is negligible compared to the contribution of reinforcement.
c. Post yielding stage
The post yielding stage corresponds to the stage when steel starts yielding and the cracks
are in the process of widening. The section attains ultimate moment capacity at the end of
this region. The ultimate tensile strain can be taken as the strain of the mesh
reinforcement at ultimate condition. The compressive strain at ultimate condition may be
taken as 0.006.
The details of evaluation of cracking moment and equations relevant to flexure are given
in Appendix.A.
2.8 COMMENTS ON REVIEW OF LITERATURE
From the review of literature the following points are noted,
(i) Large number of studies on strength and behaviour of ferrocement
elements subjected to tension, compression and flexure have been
carried out in the past.
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(ii) In most of these studies smaller scale specimen models have been
used in the investigation. Only some attempts on large scale or
prototype elements have been considered. However it may be
noted that in order to exhibit the realistic behaviour of the
structural elements it is advisable to consider prototype structural
elements.
(iii) Attempts have been made to obtain a relation between strength
parameters such as first crack load and ultimate load with variables
like volume fraction and specific surface of ferrocement.
(iv) In all the previous investigations the fine aggregate used for
making ferocement mortar was ordinary river sand. However it
may be noted that as river sand is becoming more and more scarce,
alternative to· river sand to be explored for optimum cost of
ferrocement elements.
(v) In the past, attempts were made to obtain the overall dimensions of
ferrocement flexural elements which are purely based on available
laboratory facilities, strength and stiffness concepts.
(vi) No attempts have been come across to obtain optimum cross
sectional shape of ferrocement elements with regard to (a) Flexural
strength (b) Deflection (c) Cracking and (d) Cost.
(vii) The earlier attempts were restricted to studies on strength and
behaviour of individual elements. However, investigations on the
combined action of elements are not reported. It would be more
meaningful if studies were done. on the strength and behaviour of
roofing or flooring structure which consists of number of elements.
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(viii) The matrix of ferrocement consists of cement, fine aggregate and
water. No attempts were made to improve the properties of
ordinary cement mortar by the special process like polymerisation,
which will improve many of the engineering properties like tensile
strength, fracture toughness and ducti Iity etc. of the ferrocement
composite.
(ix) In the earlier studies, the combined effects of optimum cross
section and polymer modification on prototype ferrocemnet
elements were not carried out.
From the above comments it may be noted that attempts on (a) Optimisation of
ferrocement structural element (b) the effect of polymer modification on strength,
stiffness, cracking behaviour and ductility of ferrocement elements (c) the
combined effect of the above have not been carried out. Hence there is a gap in
the existing knowledge which shows that there is a scope for research to fill the
above gap.
2.9 SCOPE FOR THE PRESENT INVESTIGATION
The main objectives of the study are,
(i) To carryout the investigation, to obtain the optimum cross sectional shape
of ferrocement flexural elements having the following cross sections,
(a) Channel (b) Trapezoidal and (c) Corrugated. As these cross sections
are often used in the building industries, this shape can be considered.
(ii) To study the strength and behaviour of polymer modified optimum
ferrocement structural elements.
(iii) To evaluate models for predicting (a) First crack load (b) ultimate load
(c) energy absorption capacity and (d) ductility.
(iv) To study the combined effect of ferrocement channel elements and to
obtain the number of connection bolts.
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2.10 METHODOLOGY
The scope of this present investigation will be carried out as per the following
methodology:
(i) To carryout the preliminary investigation to fix the optimum percentage of
polymer content and fine aggregate to be used in the study.
(ii) To carryout the optimisation techniques in Genetic Algorithm to fix the
optimum cross section of ferrocement flexural elements.
(iii) To carryout an experimental study on optimised prototype ferrocement
elements under third point loading with the different volume fraction of
mesh reinforcement and% of polymer content and
(iv) To develop models mentioned in the scope based on the test results
obtained in the experimental programme.
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