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Global J. of Engg. & Appl. Sciences, 2011: 1 (4)
Global Journal Engineering and Applied Sciences - ISSN 2249-2631(online): 2249-2623(Print) - Rising Research Journal Publication
9
Research Paper: Abdul Razak and Rajendra Prasad, 2011, Pp. 9-12.
NEURAL NETWORK ASSISTED CONCRETE MIX DESIGN WITH AND WITHOUT MINERAL ADMIXTURE
Abdul Razak. B.H
*
and D.S. Rajendra Prasad
Department of Civil Engineering, S.I.T, Tumkur-572103, India
*Corresponding Author: abdulrazak.b.h@gmail.com
ABSTRACT
This paper presents a novel method of predicting concrete mix parameters using design charts developed
as per IS 10262:2009 codal provisions and these results are compared with Artificial Neural Network
(ANN) predicted values for the concrete mixes, designed with and without partial replacement of cement
with Fly ash. The concrete grades selected for preparing design charts are M20, M25, M30, M35, M40 and
M45 and an application of ANN is made to design concrete mix for grades M40 and M45 with and without
partial replacement of cement with Fly ash. 30% of Cement replacement with Fly ash is considered and
the type of concrete for placing is pumpable concrete. Both the design charts and Neural network is used
to predict the quantities of cement, Fly ash, water, water cement ratio, coarse aggregates, fine aggregates,
chemical admixture & minimum cement content and maximum water cement ratio for various exposure
conditions. Six inputs namely the grade of concrete, required slump, maximum size of aggregates, type of
aggregates, zone of sand and exposure conditions are used for the neural net. A five layer neural network
predicted values are in error range of 0.5% to 6%.
Key words: ANN, Coarse aggregates, Concrete mix design, Fine aggregates, Fly ash, W/C.
INTRODUCTION
The concrete mix design is a process of selecting
the suitable ingredients of concrete and
determining their most optimum proportions
which would produce, as economically as
possible, concrete that satisfies the job
requirements, i.e. the concrete having a certain
minimum compressive strength, the desired
workability and durability. In addition to these
requirements, the cement content in the mix
should be as low as possible to achieve maximum
economy (Valluru and Hayagriva, 1996 and
Nataraja and Lelin Das, 2010). The proportioning
of the ingredients of concrete is an important part
of concrete technology as it ensures the quality
and economy. The design charts are developed for
the concrete grades M20, M25, M30, M35, M40
and M45. The work also includes the design of
concrete mixes with the application of ANN.
Initially mix design values are prepared using
Microsoft Excel sheet and the same values are
used for training in neural net. Among all the mix
design values, 10% of the values are used for
testing and the remaining values are used for
training the neural network. The science of
artificial neural networks made its first significant
appearance in the 1940’s. Researchers desiring to
duplicate the functions of the human brain
developed simple hardware (and later software)
models of the biological neuron and its
interconnection system. Jayaram et al., (2005)
published the first systematic study of neural
networks. In later work they explored neural
paradigms for pattern recognition despite
translation and rotation. Ganju (1996) presented
a method of design of trial mixes, enabling the
direct computation of ingredients using formulae
without the use of any charts or tables. Trial mix
design examples given by Mindess and Young,
Popovics, and Mehta have recalculated using
spreadsheet and Microsoft Excel and compared
calculated values with other methods based on
ACI and British practice. Improvements to the
proposed method are possible by including
specification constraints, such as tables in
spreadsheet. Spreadsheets are the preferred
format for calculations as they can be used
interactively. Rajendra Prasad (2001) presented a
thesis entitled “Neural network assisted concrete
mix design and prediction of suitability of the mix
using Fuzzy Logic” in which he developed an
integrated software which combines the Artificial
Neural Network (ANN) and Fuzzy logic in order to
design a concrete mix for a given set of input
values and predict the suitability of the mix using
fuzzy Logic. The grades of concretes considered
were M30 and M35 and the mix design method
adopted was as per IS:10262-1982. Rishi Garg
(2003) presented the thesis entitled “Concrete
mix design using artificial neural network” in
which he obtained data of mix design
experimentally and used the data for training and
testing in ANN for concrete mix design.
ARTIFICIAL NEURAL NETWORK
Artificial Neural Network (ANN) is a network of
artificial neurons, an information processing
units, is inspired by the way in which human
brain performs a particular task or function of
interest. A neural network is a computational
method inspired by studies of the brain and
Global J. of Engg. & Appl. Sciences, 2011: 1 (4)
Global Journal Engineering and Applied Sciences - ISSN 2249-2631(online): 2249-2623(Print) - Rising Research Journal Publication
10
nervous systems in biological organism. Artificial
Neural Network represents highly ideological
mathematical models of our present
understanding of such complex systems (Chapani
et al., 2011 and Pushpalatha and Anuradha, 2011).
Artificial Neural Network models have the ability
to learn and generalize the problems even when
input data contain error or incomplete.
CONCRETE MIX DESIGN USING IS 10262:2009
The new code explains the mix proportioning
procedure using a typical mix design problem.
The new BIS is applicable to ordinary and
standard concrete grades only. The durability
requirements, limitations on w/c ratio and
maximum cement contents are as per IS
456:2000. The requirements for selecting w/c
ratio, water content and estimating coarse
aggregate content and fine aggregate content have
been modified accordingly. Considering that the
air content in normal concrete (non air entrained
concrete) is not of much significance, the
consideration of air content has been deleted. The
air content is not part of IS 456:2000 either.
COMPUTATIONAL WORK
The work involves manual preparation of mix
design values as per IS 10262:2009 and
IS:456:2000 using spreadsheet considering
various sizes and types of coarse aggregates,
various zones of sand, various slump values,
different exposure conditions. Sizes of coarse
aggregates include 10mm, 20mm, 40mm. Types of
coarse aggregates include Angular aggregates, sub
angular aggregates, gravel with crushed particles,
rounded gravel. Different zones considered are
zone1, zone2, zone3, zone4. Various slump values
considered are 50mm, 75mm, 100mm, 125mm,
150mm. Different exposure conditions taken into
account are mild, moderate, severe, very severe
and extreme. Mix design is carried out for M20,
M25, M30, M35, M40, M45 grades of concrete
with and without mineral admixture (Fly ash).
Water cement ratio is varied in successive mix
designs with change in exposure conditions, type
of aggregates, size of aggregates, slump values.
But same set of w/c values are retained for all the
four zones since W/C ratio don’t change for
different zones as per procedure mentioned in IS
10262:2009. Only proportion of fine aggregates to
coarse aggregates will change with change in zone
of sand. An increment of 0.005 is adopted for W/C
for different exposure conditions. Design charts
are prepared which enable concrete mix
designing accurately without referring to any
code book and without requiring any expertise in
the field of concrete mix design. Among various
grades of concretes M40 and M45 grades are
trained in ANN. 10% of the mix design values are
used for testing. Different topologies were tried
with different error tolerance, learning
parameter, number of hidden layers to reach at
the optimum topology.
RESULTS AND DISCUSSION
Variation of W/C with type of coarse aggregates
for different grades of concrete(without flyash
replacement) is shown below. Here 1-Angular
aggregates,2- Subangular aggregates, 3-Gravel
with crushed particles, 4-rounded gravel, S.A- Size
of aggregates. Mix design values obtained from
spreadsheet are also used for preparation design
charts. A set of design charts are shown for M40
grade concrete with slump 100mm, size of
aggregate 20mm and zone I. Similar graphs can be
developed for various slump, size of aggregates
and different zones. The mix design procedure
using those charts is illustrated below.
Step1: Referring to Fig. A, W/C ratio can be found
out for the known aggregate type, slump, size of
aggregates, Zone of sand and exposure condition.
Here 1, 2, 3, 4, 5 refers to mild, moderate, severe,
very severe and extreme exposure conditions
respectively.
Step2: From the value of W/C ratio obtained from
fig A, cement content required in kg/m3 can be
found out using fig B. For concrete without the
partial replacement of fly ash, the value obtained
from Fig.B is taken as cement content (or
cementitious material content). In case of
concrete with flyash replacement, the value
obtained from Fig.B should be multiplied with the
percentage replacement of flyash to get Flyash
content. Flyash content(kg/ m3)= Cement
content(from Fig.B)*Percentage replacement of
flyash.
Step 3: Water content can be found out by the
values of cement content and W/C as below
Water content (kg/m3) =Cement content
(kg/m3)*(W/C).
Step4: Quantity of fine aggregates and coarse
aggregates can be found out from the known
value of cement content using fig C and fig D
respectively.
RESULTS
Among the various topologies tried, the topology
with error tolerance 0.001, learning parameter
0.1and layer sizes 6-50-50-50-8 and 6-50-50-8
gave the best results for mix design without
mineral admixture. And for mix design with
mineral admixture, the topology with error
tolerance 0.001, learning parameter 0.1and layer
sizes 6-50-50-50-9 and 6-50-50-9 gave the best
results.
Global J. of Engg. & Appl. Sciences, 2011: 1 (4)
Global Journal Engineering and Applied Sciences - ISSN 2249-2631(online): 2249-2623(Print) - Rising Research Journal Publication
11
ANN program provides mix proportion values for
M40&M45 with and without mineral admixtures
with error as least as 0.5% for only 25000 cycles.
The Fig. E shows the error convergence for
different topologies. Here the trial mix values
developed for M40 concrete without fly ash are
being used as an illustration Similar charts can be
deveoped for M40(Cement+Fly ash),
M45(Cement), M45(Cement+Fly ash), M40+M45
(Cement), M40+M45 (Cement +Fly ash).
CONCLUSIONS
Based on the computational experimental work
and analysis of the results, the following
conclusions can be drawn:
• The mix design values prepared using MS
Excel sheet satisfies both theoretical and
practical requirements; since all necessary
codal provisions have been incorporated as
per latest codes and to satisfy field
conditions reasonable increment in
minimum cement content has been made
with the suggestions from experienced
personnel in the field of concrete mix design.
Also an increment of 0.005 in water cement
ratio values with change in exposure
conditions ensure more acceptable mix
design values.
• Design charts prepared using values
obtained from MS Excel sheet are highly
useful to arrive at mix design values without
the use of any codebooks and without any
expertise in the field of concrete mix design
as these charts are prepared using from the
mix design values obtained as per latest
revised code IS:10262-2009.
• From the ANN results it is observed that
percentage error reaches below 1% for
10000 cycles itself with error tolerance
0.001 and learning parameter 0.1 for the
topologies 6-50-50-8 and 6-50-50-50-8 for
concrete without the partial replacement of
fly ash.
• For concrete with the partial replacement of
Fly ash, the percentage error reaches below
1% for 20000 cycles for concrete grades
tested individually. For combined data (M40
&M45 together) the percentage error
reaches below 1% at 15000 cycles. In both
the cases the error tolerance and learning
parameter were 0.001 and 0.1 respectively.
This error convergence is observed in
topologies 6-50-50-9 and 6-50-50-50-9.
• From the ANN test results we can conclude
that there is remarkable reduction in the
percentage of error with more lower error
tolerance values (0.001) for the same
learning parameter (0.1). However number
of cycles also has the significant impact on
the percentage error values. 4 layered and 5
layered topologies along with error
tolerance 0.001 gave the optimum results.
• Since least percentage error values have
been achieved in ANN, these results can be
used directly in the laboratories and field
which takes no time in arriving at mix design
values.
ACKNOWLEDGEMENTS
The authors wish to place on record their sincere
thanks to Dr. Shivakumariah, principal, SIT,
Tumkur and Dr. M.N. Channabasappa, Director,
SIT, for providing facilities to prepare this paper.
Many thanks are extended to Dr. S.V.Dinesh, Head,
Department of Civil Engineering, SIT, for his
encouragement during the development of this
paper.
REFERENCE
Chapani H. V ., Pradhan, V. H and M. N. Mehta,
2011. Numerical solution of boussinesq
equation arising in infiltration phenomenon
using quadratic b-spline finite element
method, Global J. of Engineering and Applied
Sciences, 1(3): 147-150.
Ganju, T.N., Spread sheeting mix designs, Concrete
International v 18, n 12 Dec. 1996, P 35-38.
Jayaram M.A., M.C.Nataraja, C.N.Ravikumar, A
Fuzzy-neuro hybrid system for design of light
weight concrete mixes, Proceedings of the
International Conference on Advances in
Concrete Composites and Structures, January
6-8,2005, Structural Engineering Research
Center, Chennai, India, pp.787-796.
Nataraja M.C. and Lelin Das, “Concrete mix
proportioning as per IS:10262-2009-
Comparison with IS:10262-2009 and ACI
211.1-91”, The Indian concrete journal
September 2010.
Pushpalatha. N and B. Anuradha. 2011. Study of
various methods of wireless ad-hoc sensor
networks using multidimensional scaling for
position estimation, Global J. of Engineering
and Applied Sciences, 1(3): 76-81.
Rajendra Prasad D.S., Neural network assisted
concrete mix design and prediction of suitability
of the mix using Fuzzy Logic. MCA Thesis,
IGNOU, New Delhi, 2002.
Rishi Garg, Concrete Mix Design Using Artificial
Neural Network.
Valluru B.rao, Hayagriva V. Rao, Neural Networks
and Fuzzy Logic using C++, BPB Publications,
New Delhi,1996.
Global J. of Engg. & Appl. Sciences, 2011: 1 (4)
Global Journal Engineering and Applied Sciences - ISSN 2249-2631(online): 2249-2623(Print) - Rising Research Journal Publication
12
Table 1: Analysis of topology
Topology Error
Tolerance
Learning
Parameter
Layers Layer sizes
1 0.01 0.1 4 6-50-50-8
2 0.001 0.1 4 6-50-50-8
3 0.01 0.1 5 6-50-50-50-8
4 0.001 0.1 5 6-50-50-50-8
0.325
0.345
0.365
0.385
0.405
0.425
0.445
0.465
0.485
0.505
0.525
0 1 2 3 4 5
W/C
Ratio
Type of coarse aggregates
Fig. (1). S.A-10mm, Slump-100mm,
Exposure-mild, Zone-I
M20
M25
M30
M35
M40
M45
0.3
0.32
0.34
0.36
0.38
0.4
0.42
0.44
0.46
0.48
0 1 2 3 4 5
W/C
ratio
Type of coarse aggregates
Fig. (2). S.A-20mm, Slump-100mm,
Exposure-Mild,Zone-I
M20
M25
M30
M35
M40
M45
0.25
0.27
0.29
0.31
0.33
0.35
0.37
0.39
0.41
0.43
0 1 2 3 4 5
W/C
Ratio
Type of coarse aggregates
Fig. (3). S.A-40mm, Slump-100mm,
Exposure-mild, Zone-I
M20
M25
M30
M35
M40
M45
0
1
2
3
4
5
6
0 5000 10000 15000 20000 25000 30000
Percentage
Error
No. of cycles
Fig.(4). Error vs Cycles
topology1
topology 2
topology 3
topology 4
0.3
0.31
0.32
0.33
0.34
0.35
0.36
0.37
0.38
0.39
0.4
0 1 2 3 4 5 6
W/C
Ratio
Exposure condition
Fig.(5). W/C vs Exposure condition
Angular
aggregates
Sub angular
aggregates
Gravel with
crushed particles
Rounded gravel
355
360
365
370
375
380
385
0.3 0.32 0.34 0.36 0.38 0.4
Cement
content(kg/m
3
)
W/C Ratio
Fig. (6). Cement content vs W/C
Angular aggregates
Sub angular
aggregates
Gravel with
crushed particles
Rounded gravel
874
876
878
880
882
884
886
888
890
892
894
896
360 365 370 375 380 385
Fine
aggregate
content(kg/m
3
)
Cement content(kg/m3)
Fig. (7). Fine aggregates vs Cement content
Angular
aggregates
Sub angular
aggregates
Gravel with
crushed
aggregates
Rounded
gravel
1130
1140
1150
1160
1170
1180
1190
350 360 370 380 390
coarse
aggregate
content(kg/m
3
)
Cement content(kg/m3)
Fig. (8). Coarse aggregates vs Cement content
Angular
aggregates
Sub angular
aggregates
Gravel with
crushed
particles
Rounded
gravel
****************

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NEURAL NETWORK ASSISTED CONCRETE MIX DESIGN WITH AND WITHOUT MINERAL ADMIXTURE

  • 1. Global J. of Engg. & Appl. Sciences, 2011: 1 (4) Global Journal Engineering and Applied Sciences - ISSN 2249-2631(online): 2249-2623(Print) - Rising Research Journal Publication 9 Research Paper: Abdul Razak and Rajendra Prasad, 2011, Pp. 9-12. NEURAL NETWORK ASSISTED CONCRETE MIX DESIGN WITH AND WITHOUT MINERAL ADMIXTURE Abdul Razak. B.H * and D.S. Rajendra Prasad Department of Civil Engineering, S.I.T, Tumkur-572103, India *Corresponding Author: abdulrazak.b.h@gmail.com ABSTRACT This paper presents a novel method of predicting concrete mix parameters using design charts developed as per IS 10262:2009 codal provisions and these results are compared with Artificial Neural Network (ANN) predicted values for the concrete mixes, designed with and without partial replacement of cement with Fly ash. The concrete grades selected for preparing design charts are M20, M25, M30, M35, M40 and M45 and an application of ANN is made to design concrete mix for grades M40 and M45 with and without partial replacement of cement with Fly ash. 30% of Cement replacement with Fly ash is considered and the type of concrete for placing is pumpable concrete. Both the design charts and Neural network is used to predict the quantities of cement, Fly ash, water, water cement ratio, coarse aggregates, fine aggregates, chemical admixture & minimum cement content and maximum water cement ratio for various exposure conditions. Six inputs namely the grade of concrete, required slump, maximum size of aggregates, type of aggregates, zone of sand and exposure conditions are used for the neural net. A five layer neural network predicted values are in error range of 0.5% to 6%. Key words: ANN, Coarse aggregates, Concrete mix design, Fine aggregates, Fly ash, W/C. INTRODUCTION The concrete mix design is a process of selecting the suitable ingredients of concrete and determining their most optimum proportions which would produce, as economically as possible, concrete that satisfies the job requirements, i.e. the concrete having a certain minimum compressive strength, the desired workability and durability. In addition to these requirements, the cement content in the mix should be as low as possible to achieve maximum economy (Valluru and Hayagriva, 1996 and Nataraja and Lelin Das, 2010). The proportioning of the ingredients of concrete is an important part of concrete technology as it ensures the quality and economy. The design charts are developed for the concrete grades M20, M25, M30, M35, M40 and M45. The work also includes the design of concrete mixes with the application of ANN. Initially mix design values are prepared using Microsoft Excel sheet and the same values are used for training in neural net. Among all the mix design values, 10% of the values are used for testing and the remaining values are used for training the neural network. The science of artificial neural networks made its first significant appearance in the 1940’s. Researchers desiring to duplicate the functions of the human brain developed simple hardware (and later software) models of the biological neuron and its interconnection system. Jayaram et al., (2005) published the first systematic study of neural networks. In later work they explored neural paradigms for pattern recognition despite translation and rotation. Ganju (1996) presented a method of design of trial mixes, enabling the direct computation of ingredients using formulae without the use of any charts or tables. Trial mix design examples given by Mindess and Young, Popovics, and Mehta have recalculated using spreadsheet and Microsoft Excel and compared calculated values with other methods based on ACI and British practice. Improvements to the proposed method are possible by including specification constraints, such as tables in spreadsheet. Spreadsheets are the preferred format for calculations as they can be used interactively. Rajendra Prasad (2001) presented a thesis entitled “Neural network assisted concrete mix design and prediction of suitability of the mix using Fuzzy Logic” in which he developed an integrated software which combines the Artificial Neural Network (ANN) and Fuzzy logic in order to design a concrete mix for a given set of input values and predict the suitability of the mix using fuzzy Logic. The grades of concretes considered were M30 and M35 and the mix design method adopted was as per IS:10262-1982. Rishi Garg (2003) presented the thesis entitled “Concrete mix design using artificial neural network” in which he obtained data of mix design experimentally and used the data for training and testing in ANN for concrete mix design. ARTIFICIAL NEURAL NETWORK Artificial Neural Network (ANN) is a network of artificial neurons, an information processing units, is inspired by the way in which human brain performs a particular task or function of interest. A neural network is a computational method inspired by studies of the brain and
  • 2. Global J. of Engg. & Appl. Sciences, 2011: 1 (4) Global Journal Engineering and Applied Sciences - ISSN 2249-2631(online): 2249-2623(Print) - Rising Research Journal Publication 10 nervous systems in biological organism. Artificial Neural Network represents highly ideological mathematical models of our present understanding of such complex systems (Chapani et al., 2011 and Pushpalatha and Anuradha, 2011). Artificial Neural Network models have the ability to learn and generalize the problems even when input data contain error or incomplete. CONCRETE MIX DESIGN USING IS 10262:2009 The new code explains the mix proportioning procedure using a typical mix design problem. The new BIS is applicable to ordinary and standard concrete grades only. The durability requirements, limitations on w/c ratio and maximum cement contents are as per IS 456:2000. The requirements for selecting w/c ratio, water content and estimating coarse aggregate content and fine aggregate content have been modified accordingly. Considering that the air content in normal concrete (non air entrained concrete) is not of much significance, the consideration of air content has been deleted. The air content is not part of IS 456:2000 either. COMPUTATIONAL WORK The work involves manual preparation of mix design values as per IS 10262:2009 and IS:456:2000 using spreadsheet considering various sizes and types of coarse aggregates, various zones of sand, various slump values, different exposure conditions. Sizes of coarse aggregates include 10mm, 20mm, 40mm. Types of coarse aggregates include Angular aggregates, sub angular aggregates, gravel with crushed particles, rounded gravel. Different zones considered are zone1, zone2, zone3, zone4. Various slump values considered are 50mm, 75mm, 100mm, 125mm, 150mm. Different exposure conditions taken into account are mild, moderate, severe, very severe and extreme. Mix design is carried out for M20, M25, M30, M35, M40, M45 grades of concrete with and without mineral admixture (Fly ash). Water cement ratio is varied in successive mix designs with change in exposure conditions, type of aggregates, size of aggregates, slump values. But same set of w/c values are retained for all the four zones since W/C ratio don’t change for different zones as per procedure mentioned in IS 10262:2009. Only proportion of fine aggregates to coarse aggregates will change with change in zone of sand. An increment of 0.005 is adopted for W/C for different exposure conditions. Design charts are prepared which enable concrete mix designing accurately without referring to any code book and without requiring any expertise in the field of concrete mix design. Among various grades of concretes M40 and M45 grades are trained in ANN. 10% of the mix design values are used for testing. Different topologies were tried with different error tolerance, learning parameter, number of hidden layers to reach at the optimum topology. RESULTS AND DISCUSSION Variation of W/C with type of coarse aggregates for different grades of concrete(without flyash replacement) is shown below. Here 1-Angular aggregates,2- Subangular aggregates, 3-Gravel with crushed particles, 4-rounded gravel, S.A- Size of aggregates. Mix design values obtained from spreadsheet are also used for preparation design charts. A set of design charts are shown for M40 grade concrete with slump 100mm, size of aggregate 20mm and zone I. Similar graphs can be developed for various slump, size of aggregates and different zones. The mix design procedure using those charts is illustrated below. Step1: Referring to Fig. A, W/C ratio can be found out for the known aggregate type, slump, size of aggregates, Zone of sand and exposure condition. Here 1, 2, 3, 4, 5 refers to mild, moderate, severe, very severe and extreme exposure conditions respectively. Step2: From the value of W/C ratio obtained from fig A, cement content required in kg/m3 can be found out using fig B. For concrete without the partial replacement of fly ash, the value obtained from Fig.B is taken as cement content (or cementitious material content). In case of concrete with flyash replacement, the value obtained from Fig.B should be multiplied with the percentage replacement of flyash to get Flyash content. Flyash content(kg/ m3)= Cement content(from Fig.B)*Percentage replacement of flyash. Step 3: Water content can be found out by the values of cement content and W/C as below Water content (kg/m3) =Cement content (kg/m3)*(W/C). Step4: Quantity of fine aggregates and coarse aggregates can be found out from the known value of cement content using fig C and fig D respectively. RESULTS Among the various topologies tried, the topology with error tolerance 0.001, learning parameter 0.1and layer sizes 6-50-50-50-8 and 6-50-50-8 gave the best results for mix design without mineral admixture. And for mix design with mineral admixture, the topology with error tolerance 0.001, learning parameter 0.1and layer sizes 6-50-50-50-9 and 6-50-50-9 gave the best results.
  • 3. Global J. of Engg. & Appl. Sciences, 2011: 1 (4) Global Journal Engineering and Applied Sciences - ISSN 2249-2631(online): 2249-2623(Print) - Rising Research Journal Publication 11 ANN program provides mix proportion values for M40&M45 with and without mineral admixtures with error as least as 0.5% for only 25000 cycles. The Fig. E shows the error convergence for different topologies. Here the trial mix values developed for M40 concrete without fly ash are being used as an illustration Similar charts can be deveoped for M40(Cement+Fly ash), M45(Cement), M45(Cement+Fly ash), M40+M45 (Cement), M40+M45 (Cement +Fly ash). CONCLUSIONS Based on the computational experimental work and analysis of the results, the following conclusions can be drawn: • The mix design values prepared using MS Excel sheet satisfies both theoretical and practical requirements; since all necessary codal provisions have been incorporated as per latest codes and to satisfy field conditions reasonable increment in minimum cement content has been made with the suggestions from experienced personnel in the field of concrete mix design. Also an increment of 0.005 in water cement ratio values with change in exposure conditions ensure more acceptable mix design values. • Design charts prepared using values obtained from MS Excel sheet are highly useful to arrive at mix design values without the use of any codebooks and without any expertise in the field of concrete mix design as these charts are prepared using from the mix design values obtained as per latest revised code IS:10262-2009. • From the ANN results it is observed that percentage error reaches below 1% for 10000 cycles itself with error tolerance 0.001 and learning parameter 0.1 for the topologies 6-50-50-8 and 6-50-50-50-8 for concrete without the partial replacement of fly ash. • For concrete with the partial replacement of Fly ash, the percentage error reaches below 1% for 20000 cycles for concrete grades tested individually. For combined data (M40 &M45 together) the percentage error reaches below 1% at 15000 cycles. In both the cases the error tolerance and learning parameter were 0.001 and 0.1 respectively. This error convergence is observed in topologies 6-50-50-9 and 6-50-50-50-9. • From the ANN test results we can conclude that there is remarkable reduction in the percentage of error with more lower error tolerance values (0.001) for the same learning parameter (0.1). However number of cycles also has the significant impact on the percentage error values. 4 layered and 5 layered topologies along with error tolerance 0.001 gave the optimum results. • Since least percentage error values have been achieved in ANN, these results can be used directly in the laboratories and field which takes no time in arriving at mix design values. ACKNOWLEDGEMENTS The authors wish to place on record their sincere thanks to Dr. Shivakumariah, principal, SIT, Tumkur and Dr. M.N. Channabasappa, Director, SIT, for providing facilities to prepare this paper. Many thanks are extended to Dr. S.V.Dinesh, Head, Department of Civil Engineering, SIT, for his encouragement during the development of this paper. REFERENCE Chapani H. V ., Pradhan, V. H and M. N. Mehta, 2011. Numerical solution of boussinesq equation arising in infiltration phenomenon using quadratic b-spline finite element method, Global J. of Engineering and Applied Sciences, 1(3): 147-150. Ganju, T.N., Spread sheeting mix designs, Concrete International v 18, n 12 Dec. 1996, P 35-38. Jayaram M.A., M.C.Nataraja, C.N.Ravikumar, A Fuzzy-neuro hybrid system for design of light weight concrete mixes, Proceedings of the International Conference on Advances in Concrete Composites and Structures, January 6-8,2005, Structural Engineering Research Center, Chennai, India, pp.787-796. Nataraja M.C. and Lelin Das, “Concrete mix proportioning as per IS:10262-2009- Comparison with IS:10262-2009 and ACI 211.1-91”, The Indian concrete journal September 2010. Pushpalatha. N and B. Anuradha. 2011. Study of various methods of wireless ad-hoc sensor networks using multidimensional scaling for position estimation, Global J. of Engineering and Applied Sciences, 1(3): 76-81. Rajendra Prasad D.S., Neural network assisted concrete mix design and prediction of suitability of the mix using Fuzzy Logic. MCA Thesis, IGNOU, New Delhi, 2002. Rishi Garg, Concrete Mix Design Using Artificial Neural Network. Valluru B.rao, Hayagriva V. Rao, Neural Networks and Fuzzy Logic using C++, BPB Publications, New Delhi,1996.
  • 4. Global J. of Engg. & Appl. Sciences, 2011: 1 (4) Global Journal Engineering and Applied Sciences - ISSN 2249-2631(online): 2249-2623(Print) - Rising Research Journal Publication 12 Table 1: Analysis of topology Topology Error Tolerance Learning Parameter Layers Layer sizes 1 0.01 0.1 4 6-50-50-8 2 0.001 0.1 4 6-50-50-8 3 0.01 0.1 5 6-50-50-50-8 4 0.001 0.1 5 6-50-50-50-8 0.325 0.345 0.365 0.385 0.405 0.425 0.445 0.465 0.485 0.505 0.525 0 1 2 3 4 5 W/C Ratio Type of coarse aggregates Fig. (1). S.A-10mm, Slump-100mm, Exposure-mild, Zone-I M20 M25 M30 M35 M40 M45 0.3 0.32 0.34 0.36 0.38 0.4 0.42 0.44 0.46 0.48 0 1 2 3 4 5 W/C ratio Type of coarse aggregates Fig. (2). S.A-20mm, Slump-100mm, Exposure-Mild,Zone-I M20 M25 M30 M35 M40 M45 0.25 0.27 0.29 0.31 0.33 0.35 0.37 0.39 0.41 0.43 0 1 2 3 4 5 W/C Ratio Type of coarse aggregates Fig. (3). S.A-40mm, Slump-100mm, Exposure-mild, Zone-I M20 M25 M30 M35 M40 M45 0 1 2 3 4 5 6 0 5000 10000 15000 20000 25000 30000 Percentage Error No. of cycles Fig.(4). Error vs Cycles topology1 topology 2 topology 3 topology 4 0.3 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.4 0 1 2 3 4 5 6 W/C Ratio Exposure condition Fig.(5). W/C vs Exposure condition Angular aggregates Sub angular aggregates Gravel with crushed particles Rounded gravel 355 360 365 370 375 380 385 0.3 0.32 0.34 0.36 0.38 0.4 Cement content(kg/m 3 ) W/C Ratio Fig. (6). Cement content vs W/C Angular aggregates Sub angular aggregates Gravel with crushed particles Rounded gravel 874 876 878 880 882 884 886 888 890 892 894 896 360 365 370 375 380 385 Fine aggregate content(kg/m 3 ) Cement content(kg/m3) Fig. (7). Fine aggregates vs Cement content Angular aggregates Sub angular aggregates Gravel with crushed aggregates Rounded gravel 1130 1140 1150 1160 1170 1180 1190 350 360 370 380 390 coarse aggregate content(kg/m 3 ) Cement content(kg/m3) Fig. (8). Coarse aggregates vs Cement content Angular aggregates Sub angular aggregates Gravel with crushed particles Rounded gravel ****************