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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 243
ADVANTAGES OF STEEL FIBRE REINFORCED CONCRETE IN
INDUSTRIAL FLOORS
Murugesan M1
, Dashrath Rajpurohit2
1
Assistant General Manager, Civil & Structural, Larsen & Toubro Technology Services, Tamilnadu, India
2
Structural Engineer, Civil & Structural, Larsen & Toubro Technology Services, Tamilnadu, India
Abstract
Ground floor slabs are integral to the efficient operation of an industrial facility. A well designed and constructed floor will
increase productivity, reduce maintenance of the building and increase the life of the equipment using the floor. Industrial floor
slab has common requirements of high strength, toughness, crack control and durability among others. Most of the industrial
floors are constructed using the conventional grade slab where reliance is only on the strength of concrete, and reinforcement is
used only for crack control and shrinkage. The use of steel fibres in concrete is advantageous over conventional grade slab
wherein the residual load carrying capacity of fibres is used and thus, increases the strength and toughness and gives economy in
floor thickness apart from saving in construction time. This paper gives an insight into the advantages of steel fibre reinforced
concrete in industrial floors. This work is based on structural design experience of the authors in steel fibre reinforced concrete
floor slab for industrial projects and in particular the project recently completed for a food and beverage industry.
Keywords: aspect ratio, industrial floors, slabs-on-grade, steel fibres, steel fibre reinforced concrete (SFRC)
--------------------------------------------------------------------***------------------------------------------------------------------
1. INTRODUCTION
Industrial floors are normally subjected to various types of
loading. There will be heavy rack posts, material handling
equipment like forklifts, stacked loads, heavy tanks and
other processing machines. These floors need to cater to
stringent standards, especially in food and beverage
industries, where hygiene and appearance are of great
significance in addition to strength and toughness. The
normal practice in industries is to provide a concrete grade
slab with reinforcement in the upper one-third layer to cater
to shrinkage and crack-control. These grade slabs have to be
designed as per the elastic method, and hence thickness
provided is same as that of an unreinforced slab. As
reinforcement is located in a specific region, it does not
serve the purpose of crack control throughout the slab. To
use the plastic analysis approach and design thinner
sections, we need to provide a reinforcing material that can
provide the required ductility in the slab. For this purpose,
reinforcement needs to be provided at the bottom of the slab,
either in form of bars, fabric or steel fibres. The current
paper deals only with the provision of fibres in achieving the
ductility.
2. AN OVERVIEW ABOUT THE PROJECT
This new green field project for food and beverage industry
is located near to Chennai. The project consists of three
phases with total estimated built up area of 100,000 m2
.
Currently, phase-1 with 25000 m2
is completed and plant is
under operation. The major buildings include the main plant
building (245 m x 60 m) with pre-engineered building
structure (PEB), utility building, admin building and other
supporting facilities. The two ends of the main plant
building are reserved for raw material and finished good
warehouses and central portion caters to process and
packaging line. SFRC was used for main plant building
grade slab and external roads.
3. APPLICATION OF STEEL FIBRE
REINFORCED SLAB
With advance in technology, warehouse areas now-a-days
are fully utilized using automated systems and radio
shuttles. A similar racking system was used in this plant
with continuous storage. Racks were up to 11 m high (G + 6
Storage). Design point loads were as high as 93 kN with
base plate of 170 mm x 180 mm, and spacing between two
legs was 1400 mm. The critical loads were mostly point
loads in the warehouse and tank storage areas. Tank area
had design load of 110 kN per leg with a base plate of 125
mm diameter.
The grade slab was first checked for a conventional design
with slab designed using elastic analysis. Reinforcement
was provided for controlling cracks and shrinkage. The
thickness arrived was 300 mm at most places. The design
was then checked for steel fibre reinforced concrete using
plastic analysis and thickness arrived was 200 mm in most
places and 220 mm in a strip in the process area that had
large storage tanks.
One of the characteristics of steel fibre is its aspect ratio. It
is the ratio of its length to diameter. The more the aspect
ratio, the better will be the fibre performance provided the
required workability and uniform distribution is achieved.
This is because higher aspect ratio gives better pull-out
resistance. However, very high aspect ratio can lead to
problems of balling. To prevent this, we chose fibres of
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 244
hooked ends. We used fibres of 0.75 mm thickness and 60
mm length, thus having an aspect ratio of 80. For deciding
slab thickness, the critical loads in all areas were the point
loads. We used variable dosage and grades of concrete to
achieve an economical solution as providing uniform design
to complete area would have led to a very conservative
design in most places.
Fig 1 Main Plant Building layout (245 m x 60 m) with demarcation of different functional areas
The various concrete grade, slab thickness and fibre dosage
used have been shown in Table 1.
Table 1 Concrete Grade and thickness used for various
areas
Area
Label
Maximu
m Point
Load
(kN)
Base
plate
size (mm
x mm)
Grad
e of
Concr
ete
Slab
Thickn
ess
(mm)
Fibre
Dosa
ge
(kg/
m3
)
Area
1
93 170 x
180
M35 200 20
Area
2
30 150 x
150
M25 150 18
Area
3
110 125 ( dia
)
M35 220 15
Area
4
81 100 x
180
M35 200 18
4. HOW FIBRES WORK AND THEIR EFFECTS
The behaviour of grade slab is different than that of a roof
slab as it rests directly on the soil. This is why, if at all
conventional reinforcement is added to grade slab, it is
added only for crack control at the top layer, preferably in
the top one-third layer of the slab. Reinforcement below the
mid depth is uncalled for both behaviourally and
economically. This leads to very limited crack control in
conventional grade slabs, as the top reinforcement is
localized and there is no mechanism for arresting cracks
below the mid depth. Also, the moment resistance is
provided completely by the concrete in the slab.
Steel fibres, are spread throughout the slab thickness, and
hence can arrest the cracks at the location they originate.
Also, the fibres provide a post-cracking moment resisting
capacity, increased energy absorption and impact resistance.
The extent to which these benefits are derived from SFRC
depends on the type of fibre, and the fibre content (fibre
percentage by volume and number of fibres). The length to
diameter ratio mentioned earlier is an important governing
factor. As the stress transfer from the concrete matrix to the
fibres happens by interfacial shear, the greater the interfacial
surface area, greater is the fibre efficiency. Hence fibres
with greater aspect ratio have greater efficiency (i.e. more
pull-out resistance). However, there is a limit to this, as very
high aspect ratio will reduce the workability of the concrete
mix. Most practical applications use an aspect ratio less than
100.
The stress in FRC is shared by the concrete matrix and fibre
until the concrete cracks. After cracking, the total stress is
gradually transferred to the fibres. The resistance to pull-out
of fibre will depend, apart from the aspect ratio, on the
shape of fibre. Non round fibres, fibres with hooked ends
etc. provides more pull-out resistance compared to plain
round fibres. However, fibre should be such that the failure
should happen by pull-out only and the resistance to pull-out
should not be so much as to cause breaking of fibre in
tension. A pull-out type of failure gives gradual and ductile
failure.
5. DESIGN OF GRADE SLAB FLOOR
The structural design of grade slabs involves estimating the
ultimate moments and stresses that will act for a given
configuration of loads and effects, followed by identifying
the necessary resistance that must hold up to these acting
stresses. The stresses depend on slab thickness, continuity,
subgrade modulus/stiffness, construction method and
quality, and magnitude and position of loads on the slab.
The ground supported slab can be pictured as plate resting
on a set of springs represented by the modulus of subgrade
reaction.
There are various methods of arriving at the design
thickness of grade slabs and appropriate reinforcements
depending on the materials of construction chosen. The
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 245
conventional methods for design of grade slabs are based on
elastic analysis, and are widely used. Inelastic methods of
design, using yield line analysis are used only for slabs
which possess sufficient ductility, i.e. necessary
reinforcement in terms of fibres or reinforcement bars to
allow for redistribution of stresses.
It is essential to understand the loads on the slab that cause
critical stress conditions. Generally, the ultimate stresses are
governed by rack loads, wheel loads (from material handling
equipment), with different load conditions such as edge load
condition, corner load condition and interior load condition.
5.1 Computation of Moment Capacity
The inelastic moment capacity in the SFRC slab is taken as
the post-cracking moment carrying capacity, which is a
function of the equivalent flexural strength of SFRC.
Consequently, the inelastic positive sagging moment
capacity per unit length for a slab of thickness h is estimated
as,
𝑀𝑝 = 𝑓𝑒,3𝑘
ℎ2
6
(1)
where, fe,3k is the characteristic equivalent flexural strength
of concrete (obtained from four point bending test of SFRC
beam until a 3 mm deflection).
The negative moment capacity is the limit of onset of
cracking on the top of the slab due to hogging. It is
important to note that even after the onset of cracking on
top; the SFRC slab will have residual moment capacity
owing to the inherent ductility of the matrix. The negative
capacity at Ultimate Limit State is a function of the flexural
strength (or modulus of rupture) of the concrete (obtained
from the same flexural test) given as:
𝑀𝑛 = 𝑓𝑐𝑡𝑘 ,𝑓𝑙
ℎ2
6
(2)
where, fctk,fl is the characteristic flexural strength of the
concrete.
The corresponding moment estimates are used for SFRC in
the inelastic design equations suited to different yield
patterns depending on the load case. Using yield line-
analysis, for a true point load, the collapse load Pu in the
interior of a slab as per Meyerhof is given as,
𝑃𝑢 = 2𝜋 𝑀𝑝 + 𝑀𝑛 (3)
From equation (1) and (2),
𝑀𝑝 + 𝑀𝑛 = 𝑓𝑒,3𝑘 + 𝑓𝑐𝑡𝑘 ,𝑓𝑙
ℎ2
6
(4)
𝑀𝑝 + 𝑀𝑛 = 𝑓𝑐𝑡𝑘 ,𝑓𝑙
ℎ2
6
( 1 + 𝑅 𝑒,3) (5)
The advantage provided by the fibres is quantified here by
Re,3 which is defined as the ratio of equivalent flexural
strength to the flexural strength up to a deflection of 3 mm.
Note that a partial safety factor for concrete is applied to the
above equations to get the design moment capacity. Thus,
Re,3 can be used to quantify the residual strength provided
by fibre reinforced concrete. Flexural tests were done on
specimens from site to obtain the Re,3 values.
6. FLEXURAL AND TOUGHNESS TEST ON SPECIMENS
Fig. 2 Loading set-up and yoke fixed to the neutral axis of the prism
Flexural toughness tests were performed at IIT Madras on
six specimens casted at site. The tests conform to ASTM C
1609-10 and JSCE SF-4. The specimens were of M25 grade
of concrete with 18 kg/m3
of fibre dosage. Glued fibres of
length 60 mm and diameter 0.75 mm were used.
The specimens cast were 150 mm x 150 mm x 700 mm, and
were tested in a 1 MN controls closed loop servo controlled
testing system at the age of 28 days. The prism is tested as a
simply supported beam with span of 450 mm and is loaded
at third points. The test is performed by increasing the load
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 246
at a constant rate of 100 N/s up to a load corresponding to
about 40% of the estimated peak load, and then by
increasing the deflection at a constant rate of 1.0± 0.1
mm/min. The test is terminated after reaching a deflection of
at least 3 mm.
7. RESULTS
The load deflection curves obtained for the six specimens
are shown below in Fig. 3.
Fig 3 Load deflection curves of the Tested Samples
The toughness T, which corresponds to the energy absorbed
by the beam, is given by the area under the load
displacement diagram up to a mid-point deflection of δ150 =
span /150 = 450 / 150 = 3mm.
The equivalent flexural strength at deflection of 3 mm, is
calculated as,
𝑓𝑒3,𝑘 =
𝑇 𝐿
𝛿150 𝑏ℎ2 (6)
Here, L is the test span (450 mm), and b and h are the width
and depth of section respectively. The mean concrete
flexural strength is calculated from the maximum load P
indicated by testing machine before failure.
𝑓𝑐𝑡𝑚 ,𝑓𝑙 =
𝑃 𝐿
𝑏ℎ2 (7)
The following table shows Re,3 value obtained from flexural
strength and equivalent flexural strength
Table 2 Results of Flexural Toughness Test
Specimen
Notation
Toughness T
Area under the
graph
Equivalent
Flexural
Strength fe3,k
Peak
Load P
Flexural
Strength
Average
Re,3
N-mm N/mm2 kN N/mm2
%
S1 28185 1.253 21.45 2.86 49.22
S2 23479 1.044 22.43 2.99
S3 41998 1.867 23.03 3.07
S4 23579 1.048 21.3 2.84
S5 41990 1.866 23.25 3.1
S6 44113 1.961 25.05 3.34
Fig 4 Steel fibre reinforced concrete slab at site after construction
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 247
8. CONCLUSION
From the table 2, it can be seen that the Re,3 value obtained
for a 18 kg dosage is 49.22 % or about 0.5. It shows that the
moment resistance capacity for this concrete slab post first
crack is roughly 50 % more than that of plain concrete. For
M 35 concrete with 20 kg dosage of the same fibre had
shown Re,3 values of up to 71.6 % on an average.
Thus, we were able to achieve significant toughness and
moment resistance capacity for the fibre reinforced slab with
thinner sections, thereby providing a durable and
economical solution for the floor. Calculations were done to
compute the cost benefit achieved compared to conventional
slab, and an approximate saving of 10 % of the grade slab
cost was achieved. The above advantages show that steel
fibre reinforced concrete can be beneficial for applications
in industries having high loads and loading pattern similar to
this project.
ACKNOWLEDGEMENTS
The authors thank Mr. M Duraisami, Senior Deputy General
Manager (Head, Civil & Structural), L&T Technology
Services for his support and guidance throughout the
project. The authors express their gratitude to Dr. Ravindra
Gettu, Professor, Department of Civil Engineering, IIT
Madras for the help in testing the samples at IIT Madras.
The authors also thank Mr. Navneet Narayan, Technical
Manager, Bekaert Industries Pvt Ltd and Mr. Ramakrishnan
S, Regional Manager, Bekaert Industries Pvt Ltd for
supplying the fibers and providing all necessary technical
assistance.
REFERENCES
[1] RILEM TC 162-TDF: “Test and design methods for
steel fibre reinforced concrete,” RILEM TC 162-
TDF, vol. 36, pp. 560-567, October 2003.
[2] Guidance for the Design of Steel-Fibre-Reinforced
Concrete, Technical Report No. 63, Cement and
Concrete Association
[3] Concrete Industrial Ground Floors , Technical Report
No. 34, Cement and Concrete Association
[4] Guide to Design of Slabs-on-Ground, ACI-360R-10
[5] Design considerations for Steel fiber Reinforced
Concrete, ACI 544.4R-88
[6] Fiber Reinforce Concrete, ACI 544.1R-24
[7] Concrete Floor and Slab construction , ACI 302.1R-
35
[8] Standard Test Method for Flexural performance of
Fiber-Reinforced Concrete , ASTM C-1609-12
[9] Slab thickness Design for Industrial Concrete Floors
on Grade, Portland Cement Association, Robert G.
Packard, 1996
[10] Guidance for the design of plain jointed rigid
pavement for Highways, IRC:58:2002, Indian Roads
Congress 2002
[11] Guidelines for Design and Construction of Fibre
reinforced Concrete Pavements, IRC:SP:46-2013,
Indian Roads Congress, 2013
BIOGRAPHIES
Murugesan M received Master’s degree in
Structural Engineering from Anna
University, India in 2005. He joined as a
Structural Engineer in Larsen & Toubro
Ltd in 2005 and currently working as an
Assistant General Manager. He is having
professional experience in civil and
structural design, structural consultancy, project
management for industrial, high-rise structures, commercial,
residential, hospitals and institutional projects in India,
USA, Middle East and East Africa.
He is a technical committee member in Indian Concrete
Institute (ICI) committee constituted to prepare standard for
industrial concrete flooring. He is certified Chartered
Engineer and Member of Institution of Engineers (India). He
is fellow member of Institutions of Valuers (India) and
Certified Project Manager by L&T Institute of Project
Management.
Dashrath Rajpurohit received his
Bachelor of Technology degree in Civil
Engineering in the year 2012 from
Rajasthan Technical University. He was
Assistant Professor at Vyas College of
Engineering and Technology, Rajasthan
before joining Larsen and Toubro
Technology Services as a Structural
Engineer at Chennai in 2013. He has worked on structural
designs of slabs-on-grade, pre-engineered buildings,
machine foundations, steel connections among others. His
research interests include dynamic analysis, pavement
design and steel connections.

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Advantages of steel fibre reinforced concrete in industrial floors

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 243 ADVANTAGES OF STEEL FIBRE REINFORCED CONCRETE IN INDUSTRIAL FLOORS Murugesan M1 , Dashrath Rajpurohit2 1 Assistant General Manager, Civil & Structural, Larsen & Toubro Technology Services, Tamilnadu, India 2 Structural Engineer, Civil & Structural, Larsen & Toubro Technology Services, Tamilnadu, India Abstract Ground floor slabs are integral to the efficient operation of an industrial facility. A well designed and constructed floor will increase productivity, reduce maintenance of the building and increase the life of the equipment using the floor. Industrial floor slab has common requirements of high strength, toughness, crack control and durability among others. Most of the industrial floors are constructed using the conventional grade slab where reliance is only on the strength of concrete, and reinforcement is used only for crack control and shrinkage. The use of steel fibres in concrete is advantageous over conventional grade slab wherein the residual load carrying capacity of fibres is used and thus, increases the strength and toughness and gives economy in floor thickness apart from saving in construction time. This paper gives an insight into the advantages of steel fibre reinforced concrete in industrial floors. This work is based on structural design experience of the authors in steel fibre reinforced concrete floor slab for industrial projects and in particular the project recently completed for a food and beverage industry. Keywords: aspect ratio, industrial floors, slabs-on-grade, steel fibres, steel fibre reinforced concrete (SFRC) --------------------------------------------------------------------***------------------------------------------------------------------ 1. INTRODUCTION Industrial floors are normally subjected to various types of loading. There will be heavy rack posts, material handling equipment like forklifts, stacked loads, heavy tanks and other processing machines. These floors need to cater to stringent standards, especially in food and beverage industries, where hygiene and appearance are of great significance in addition to strength and toughness. The normal practice in industries is to provide a concrete grade slab with reinforcement in the upper one-third layer to cater to shrinkage and crack-control. These grade slabs have to be designed as per the elastic method, and hence thickness provided is same as that of an unreinforced slab. As reinforcement is located in a specific region, it does not serve the purpose of crack control throughout the slab. To use the plastic analysis approach and design thinner sections, we need to provide a reinforcing material that can provide the required ductility in the slab. For this purpose, reinforcement needs to be provided at the bottom of the slab, either in form of bars, fabric or steel fibres. The current paper deals only with the provision of fibres in achieving the ductility. 2. AN OVERVIEW ABOUT THE PROJECT This new green field project for food and beverage industry is located near to Chennai. The project consists of three phases with total estimated built up area of 100,000 m2 . Currently, phase-1 with 25000 m2 is completed and plant is under operation. The major buildings include the main plant building (245 m x 60 m) with pre-engineered building structure (PEB), utility building, admin building and other supporting facilities. The two ends of the main plant building are reserved for raw material and finished good warehouses and central portion caters to process and packaging line. SFRC was used for main plant building grade slab and external roads. 3. APPLICATION OF STEEL FIBRE REINFORCED SLAB With advance in technology, warehouse areas now-a-days are fully utilized using automated systems and radio shuttles. A similar racking system was used in this plant with continuous storage. Racks were up to 11 m high (G + 6 Storage). Design point loads were as high as 93 kN with base plate of 170 mm x 180 mm, and spacing between two legs was 1400 mm. The critical loads were mostly point loads in the warehouse and tank storage areas. Tank area had design load of 110 kN per leg with a base plate of 125 mm diameter. The grade slab was first checked for a conventional design with slab designed using elastic analysis. Reinforcement was provided for controlling cracks and shrinkage. The thickness arrived was 300 mm at most places. The design was then checked for steel fibre reinforced concrete using plastic analysis and thickness arrived was 200 mm in most places and 220 mm in a strip in the process area that had large storage tanks. One of the characteristics of steel fibre is its aspect ratio. It is the ratio of its length to diameter. The more the aspect ratio, the better will be the fibre performance provided the required workability and uniform distribution is achieved. This is because higher aspect ratio gives better pull-out resistance. However, very high aspect ratio can lead to problems of balling. To prevent this, we chose fibres of
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 244 hooked ends. We used fibres of 0.75 mm thickness and 60 mm length, thus having an aspect ratio of 80. For deciding slab thickness, the critical loads in all areas were the point loads. We used variable dosage and grades of concrete to achieve an economical solution as providing uniform design to complete area would have led to a very conservative design in most places. Fig 1 Main Plant Building layout (245 m x 60 m) with demarcation of different functional areas The various concrete grade, slab thickness and fibre dosage used have been shown in Table 1. Table 1 Concrete Grade and thickness used for various areas Area Label Maximu m Point Load (kN) Base plate size (mm x mm) Grad e of Concr ete Slab Thickn ess (mm) Fibre Dosa ge (kg/ m3 ) Area 1 93 170 x 180 M35 200 20 Area 2 30 150 x 150 M25 150 18 Area 3 110 125 ( dia ) M35 220 15 Area 4 81 100 x 180 M35 200 18 4. HOW FIBRES WORK AND THEIR EFFECTS The behaviour of grade slab is different than that of a roof slab as it rests directly on the soil. This is why, if at all conventional reinforcement is added to grade slab, it is added only for crack control at the top layer, preferably in the top one-third layer of the slab. Reinforcement below the mid depth is uncalled for both behaviourally and economically. This leads to very limited crack control in conventional grade slabs, as the top reinforcement is localized and there is no mechanism for arresting cracks below the mid depth. Also, the moment resistance is provided completely by the concrete in the slab. Steel fibres, are spread throughout the slab thickness, and hence can arrest the cracks at the location they originate. Also, the fibres provide a post-cracking moment resisting capacity, increased energy absorption and impact resistance. The extent to which these benefits are derived from SFRC depends on the type of fibre, and the fibre content (fibre percentage by volume and number of fibres). The length to diameter ratio mentioned earlier is an important governing factor. As the stress transfer from the concrete matrix to the fibres happens by interfacial shear, the greater the interfacial surface area, greater is the fibre efficiency. Hence fibres with greater aspect ratio have greater efficiency (i.e. more pull-out resistance). However, there is a limit to this, as very high aspect ratio will reduce the workability of the concrete mix. Most practical applications use an aspect ratio less than 100. The stress in FRC is shared by the concrete matrix and fibre until the concrete cracks. After cracking, the total stress is gradually transferred to the fibres. The resistance to pull-out of fibre will depend, apart from the aspect ratio, on the shape of fibre. Non round fibres, fibres with hooked ends etc. provides more pull-out resistance compared to plain round fibres. However, fibre should be such that the failure should happen by pull-out only and the resistance to pull-out should not be so much as to cause breaking of fibre in tension. A pull-out type of failure gives gradual and ductile failure. 5. DESIGN OF GRADE SLAB FLOOR The structural design of grade slabs involves estimating the ultimate moments and stresses that will act for a given configuration of loads and effects, followed by identifying the necessary resistance that must hold up to these acting stresses. The stresses depend on slab thickness, continuity, subgrade modulus/stiffness, construction method and quality, and magnitude and position of loads on the slab. The ground supported slab can be pictured as plate resting on a set of springs represented by the modulus of subgrade reaction. There are various methods of arriving at the design thickness of grade slabs and appropriate reinforcements depending on the materials of construction chosen. The
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 245 conventional methods for design of grade slabs are based on elastic analysis, and are widely used. Inelastic methods of design, using yield line analysis are used only for slabs which possess sufficient ductility, i.e. necessary reinforcement in terms of fibres or reinforcement bars to allow for redistribution of stresses. It is essential to understand the loads on the slab that cause critical stress conditions. Generally, the ultimate stresses are governed by rack loads, wheel loads (from material handling equipment), with different load conditions such as edge load condition, corner load condition and interior load condition. 5.1 Computation of Moment Capacity The inelastic moment capacity in the SFRC slab is taken as the post-cracking moment carrying capacity, which is a function of the equivalent flexural strength of SFRC. Consequently, the inelastic positive sagging moment capacity per unit length for a slab of thickness h is estimated as, 𝑀𝑝 = 𝑓𝑒,3𝑘 ℎ2 6 (1) where, fe,3k is the characteristic equivalent flexural strength of concrete (obtained from four point bending test of SFRC beam until a 3 mm deflection). The negative moment capacity is the limit of onset of cracking on the top of the slab due to hogging. It is important to note that even after the onset of cracking on top; the SFRC slab will have residual moment capacity owing to the inherent ductility of the matrix. The negative capacity at Ultimate Limit State is a function of the flexural strength (or modulus of rupture) of the concrete (obtained from the same flexural test) given as: 𝑀𝑛 = 𝑓𝑐𝑡𝑘 ,𝑓𝑙 ℎ2 6 (2) where, fctk,fl is the characteristic flexural strength of the concrete. The corresponding moment estimates are used for SFRC in the inelastic design equations suited to different yield patterns depending on the load case. Using yield line- analysis, for a true point load, the collapse load Pu in the interior of a slab as per Meyerhof is given as, 𝑃𝑢 = 2𝜋 𝑀𝑝 + 𝑀𝑛 (3) From equation (1) and (2), 𝑀𝑝 + 𝑀𝑛 = 𝑓𝑒,3𝑘 + 𝑓𝑐𝑡𝑘 ,𝑓𝑙 ℎ2 6 (4) 𝑀𝑝 + 𝑀𝑛 = 𝑓𝑐𝑡𝑘 ,𝑓𝑙 ℎ2 6 ( 1 + 𝑅 𝑒,3) (5) The advantage provided by the fibres is quantified here by Re,3 which is defined as the ratio of equivalent flexural strength to the flexural strength up to a deflection of 3 mm. Note that a partial safety factor for concrete is applied to the above equations to get the design moment capacity. Thus, Re,3 can be used to quantify the residual strength provided by fibre reinforced concrete. Flexural tests were done on specimens from site to obtain the Re,3 values. 6. FLEXURAL AND TOUGHNESS TEST ON SPECIMENS Fig. 2 Loading set-up and yoke fixed to the neutral axis of the prism Flexural toughness tests were performed at IIT Madras on six specimens casted at site. The tests conform to ASTM C 1609-10 and JSCE SF-4. The specimens were of M25 grade of concrete with 18 kg/m3 of fibre dosage. Glued fibres of length 60 mm and diameter 0.75 mm were used. The specimens cast were 150 mm x 150 mm x 700 mm, and were tested in a 1 MN controls closed loop servo controlled testing system at the age of 28 days. The prism is tested as a simply supported beam with span of 450 mm and is loaded at third points. The test is performed by increasing the load
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 246 at a constant rate of 100 N/s up to a load corresponding to about 40% of the estimated peak load, and then by increasing the deflection at a constant rate of 1.0± 0.1 mm/min. The test is terminated after reaching a deflection of at least 3 mm. 7. RESULTS The load deflection curves obtained for the six specimens are shown below in Fig. 3. Fig 3 Load deflection curves of the Tested Samples The toughness T, which corresponds to the energy absorbed by the beam, is given by the area under the load displacement diagram up to a mid-point deflection of δ150 = span /150 = 450 / 150 = 3mm. The equivalent flexural strength at deflection of 3 mm, is calculated as, 𝑓𝑒3,𝑘 = 𝑇 𝐿 𝛿150 𝑏ℎ2 (6) Here, L is the test span (450 mm), and b and h are the width and depth of section respectively. The mean concrete flexural strength is calculated from the maximum load P indicated by testing machine before failure. 𝑓𝑐𝑡𝑚 ,𝑓𝑙 = 𝑃 𝐿 𝑏ℎ2 (7) The following table shows Re,3 value obtained from flexural strength and equivalent flexural strength Table 2 Results of Flexural Toughness Test Specimen Notation Toughness T Area under the graph Equivalent Flexural Strength fe3,k Peak Load P Flexural Strength Average Re,3 N-mm N/mm2 kN N/mm2 % S1 28185 1.253 21.45 2.86 49.22 S2 23479 1.044 22.43 2.99 S3 41998 1.867 23.03 3.07 S4 23579 1.048 21.3 2.84 S5 41990 1.866 23.25 3.1 S6 44113 1.961 25.05 3.34 Fig 4 Steel fibre reinforced concrete slab at site after construction
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 04 Issue: 10 | OCT-2015, Available @ http://www.ijret.org 247 8. CONCLUSION From the table 2, it can be seen that the Re,3 value obtained for a 18 kg dosage is 49.22 % or about 0.5. It shows that the moment resistance capacity for this concrete slab post first crack is roughly 50 % more than that of plain concrete. For M 35 concrete with 20 kg dosage of the same fibre had shown Re,3 values of up to 71.6 % on an average. Thus, we were able to achieve significant toughness and moment resistance capacity for the fibre reinforced slab with thinner sections, thereby providing a durable and economical solution for the floor. Calculations were done to compute the cost benefit achieved compared to conventional slab, and an approximate saving of 10 % of the grade slab cost was achieved. The above advantages show that steel fibre reinforced concrete can be beneficial for applications in industries having high loads and loading pattern similar to this project. ACKNOWLEDGEMENTS The authors thank Mr. M Duraisami, Senior Deputy General Manager (Head, Civil & Structural), L&T Technology Services for his support and guidance throughout the project. The authors express their gratitude to Dr. Ravindra Gettu, Professor, Department of Civil Engineering, IIT Madras for the help in testing the samples at IIT Madras. The authors also thank Mr. Navneet Narayan, Technical Manager, Bekaert Industries Pvt Ltd and Mr. Ramakrishnan S, Regional Manager, Bekaert Industries Pvt Ltd for supplying the fibers and providing all necessary technical assistance. REFERENCES [1] RILEM TC 162-TDF: “Test and design methods for steel fibre reinforced concrete,” RILEM TC 162- TDF, vol. 36, pp. 560-567, October 2003. [2] Guidance for the Design of Steel-Fibre-Reinforced Concrete, Technical Report No. 63, Cement and Concrete Association [3] Concrete Industrial Ground Floors , Technical Report No. 34, Cement and Concrete Association [4] Guide to Design of Slabs-on-Ground, ACI-360R-10 [5] Design considerations for Steel fiber Reinforced Concrete, ACI 544.4R-88 [6] Fiber Reinforce Concrete, ACI 544.1R-24 [7] Concrete Floor and Slab construction , ACI 302.1R- 35 [8] Standard Test Method for Flexural performance of Fiber-Reinforced Concrete , ASTM C-1609-12 [9] Slab thickness Design for Industrial Concrete Floors on Grade, Portland Cement Association, Robert G. Packard, 1996 [10] Guidance for the design of plain jointed rigid pavement for Highways, IRC:58:2002, Indian Roads Congress 2002 [11] Guidelines for Design and Construction of Fibre reinforced Concrete Pavements, IRC:SP:46-2013, Indian Roads Congress, 2013 BIOGRAPHIES Murugesan M received Master’s degree in Structural Engineering from Anna University, India in 2005. He joined as a Structural Engineer in Larsen & Toubro Ltd in 2005 and currently working as an Assistant General Manager. He is having professional experience in civil and structural design, structural consultancy, project management for industrial, high-rise structures, commercial, residential, hospitals and institutional projects in India, USA, Middle East and East Africa. He is a technical committee member in Indian Concrete Institute (ICI) committee constituted to prepare standard for industrial concrete flooring. He is certified Chartered Engineer and Member of Institution of Engineers (India). He is fellow member of Institutions of Valuers (India) and Certified Project Manager by L&T Institute of Project Management. Dashrath Rajpurohit received his Bachelor of Technology degree in Civil Engineering in the year 2012 from Rajasthan Technical University. He was Assistant Professor at Vyas College of Engineering and Technology, Rajasthan before joining Larsen and Toubro Technology Services as a Structural Engineer at Chennai in 2013. He has worked on structural designs of slabs-on-grade, pre-engineered buildings, machine foundations, steel connections among others. His research interests include dynamic analysis, pavement design and steel connections.