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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 962
EXPERIMENTAL STUDY OF VARIOUS SHAPED ISOLATED FOOTINGS
UNDER MONOTONIC AND INCREMENTAL CYCLIC LOADING ON
BLACK COTTON SOIL
Niraj Gupta1, Pravin Patel2, Mrs. Komal Bedi3
1Student, M.Tech. Structural Engineering, Alpine Institute of Technology Ujjain, MP, India
2Consultant Civil Engineer, Vistara Consultant ,Indore MP, India
3H.O.D. Dept. of Civil Engineering, Alpine Institute of Technology Ujjain, MP, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - Bearing capacity and settlement are the two
major criteria for designing of foundation. Alsoitisnotalways
subjected to monotonic loading but itisalsosubjectedtocyclic
loading. The examples are lifts, bridges foundation, machine
foundation, offshore structure, wind waves etc. In this
experimental work an attempt has been made to study the
behavior of six various shaped footing specimens. For this
purpose the area of footing specimens was taken same as
150cm2 and dimension are fixed accordingly. Theyarestudied
under black cotton soil. Monotonic and cyclic loading tests
were conducted on all the six specimens and load intensityโ€“
settlement curves are plotted.
It is concluded after studying the load intensity-settlement
behavior that square footing shows least settlement while
triangular footing shows maximum settlement at same
loading intensity. Elastic rebound curve are also studied from
the load intensity โ€“ settlement curves. Experimentally it is
found that square footing shows better performance while
triangular footing shows poor behavior.
Key Words: Black Cotton Soil, Elastic Rebound,Footings,
Incremental Cyclic Loading, Settlement,
1. Introduction
The Bearing capacity of soil plays a major role in design of
footings. As footings are used in a variety of fields such as
wall foundations, offshore platforms, bridges, machinery
foundations etc. the nature of load transmitted also varies.
The load transmitted to the soil causes the settlementof soil.
The settlement of soil varies with nature of loading such as
static loading, dynamic loading, cyclic loading, repeated
loading etc. When structures are subjectedtocyclic loadings,
the footing might fail at loads much smaller than the failure
load for static condition which in turn will give rise to the
collapse of structures. The method of foundation design
requires that they must possess sufficient safety against
failure and settlement must be kept within the tolerable
limits. The shape of footing also play an important role in
design of footing. Two different shaped footing may show
different settlement on same soil subjected to same loading
condition.
1.1 Aim of study
The load settlement behavior of footings of rectangular,
circular and square shapes is well known. In the present
study an attempt is made to compare the Load-settlement
behavior of six differentshapedfootingsnamelyrectangular,
circular, square, hexagonal, triangular and octagonal footing
under monotonic and incremental cyclic loading on black
cotton soil.
The study is carried out using black cotton soil as strata. In
this artificial field test the density and moisture content of
the soil were kept same as existing in the field. Load
intensity -settlement curves under monotonic and
incremental cyclic loading are plotted and studied.
1.2 Experimental Program
A. Test specimens:- Six footing specimens having
different shape and same surface area (150cm2) with plate
thickness equal to 8 mm have been used.
B. Soil Used: Each specimen has been tested on black
cotton soil. Density of black cotton soil is kept equal to
14 KN/m3.
Table -1: Sample Table format
S No. Shape Of footing Size(in cm)
1 Circular Dia 13.8 cm
2 Triangular Each Side of
18.16 cm
3 Square 12.3 cm X 12.3
cm
4 Rectangular 15 cm X10 cm
5 Hexagonal 7.6 cm Each
6 Octagonal 5.3 cm Each Side
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 963
Fig -1: Dimension of all footings model in cm
Fig -2: Details of footing model
Fig -3: Actual photograph of all footing model in cm
1.3 Instrumentation
The footing specimens are tested under monotonic and
incremental cyclic loading, load being applied axially at
centre of footing. A load cell is used to apply load while
settlements are measured using dial gauges. The loading
arrangement and instrumentation is as follows:
๏‚ท Loading Arrangement: The loading arrangement
consisted of a tank, reaction frame, hydraulic jack, load
cell and digital load indicator. Tank of size 125 cm x 75
cm x 45 cm was filled with soil. The load was applied
manually by hydraulic jack. The reaction frame was
fitted to the tank keeping center of frame vertically
above the center of tank. The loading arrangement is
shown in Fig 4.
๏‚ท Load meter and Load Cell: Load cell is pressure
transducers of capacity 20KN used to record load
applied. The load cell was connected to load meter to
measure the load applied.
๏‚ท Dial Gauges and LVDT: Dial gauges that can measure
upto 25mm with least count of 0.01mm were used.
Fig -3: Experimental Setup
1.4 Test Procedures
A. Testing Under Monotonic Loading: The testing under
monotonic loading has been carried out as follows:
1) The soil sample taken from the field was filled up to
a height of 40cm in three layers. The bottom and
middle layer having thickness 15cm each and a top
layer of 10 cm. Each layer is compacted to achieve
field density.
2) The footing specimen placed centrally andloadwas
applied vertically through hydraulic jack.
3) The load was applied at an increment of 50kgs.
4) The rate of loading was kept 1kg/sec.
5) Readings of the dial gauge were noted at each
increment of load. The load intensity was kept
constant for 90 sec or readingindial gaugebecomes
stable.
6) After each testing the soil was again disturbed and
then again compacted for next specimen. The same
procedure has been followed for all the six footing
specimen.
B. Testing Under Cyclic Loading: The testing under
monotonic loading has been carried out as follows:
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 964
1) The maximum load obtained from monotonic test was
divided in equal parts of 50kg for applying cyclic loading.
2) The rate of loading and unloading was selected as 1kg
/sec. The cyclic loading time history is shown below in Fig 5.
Fig -5: Time History curve for cyclic incremental loading
3). The load was released to zero so that soil can rebound
and then again soil was reloaded up to next cycle.
4). The readings were taken at an interval of 25kgs for more
accurate results.
5).After each testing soil wasdisturbedandagaincompacted
up to field density.
1.5 RESULT
A) Test Result:- The study has been carried out on six
different shaped footing as described above. The Load
Intensity - Settlement behavior of these footings obtained
under black cotton soil has been presented in the form of
Load Intensity vs Settlement curve under monotonic and
cyclic loading from Fig.6 to Fig.13.
Fig -6: shows comparison of Load Intensity v/s Settlement
curve of various shaped footings on black cotton soil
subjected to monotonic loading.
.
Fig -7: Load Intensity vs Settlement curve for square
shaped footing on black cotton soil subjected to
incremental cyclic loading.
Fig -8: Load Intensity vs Settlement curve for rectangular
shaped footing on black cotton soil subjected to
incremental cyclic loading.
Fig -9: Load Intensity vs Settlement curve for circular
shaped footing on black cotton soil subjected to
incremental cyclic loading.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 965
Fig -10: Load Intensity vs Settlement curve for octagonal
shaped footing on black cotton soil subjected to
incremental cyclic loading.
Fig -11: Load Intensity vs Settlement curve for
hexagonal shaped footing on black cotton soil subjected
to incremental cyclic loading.
Fig -12: Load Intensity vs Settlement curve for
triangular shaped footing on black cotton soil subjected
to incremental cyclic loading.
Fig -13: Comparison of Load Intensity vs Settlement curve
for all six footings on black cotton soil subjected to
incremental cyclic loading.
1.6 DISCUSSION
A). Monotonic Loading: From Fig.6 for monotonic loading it
can be seen that settlement at a given load intensity,
533KN/m2(800kg), is maximum for triangular shaped
footing while it is minimum for square footing.
B). Cyclic Loading: The same behavior of settlement at a
given load intensity, 400KN/m2 (600kg) is observed from a
comparative load intensity v/s settlement curve of various
footings subjected to incremental cyclic loading as shown in
Fig.13. Triangular footing shows maximumsettlementwhile
that of square footing shows minimum settlement.
C). Elastic Rebound: From the readings taken during
unloading of specimen subjected to incremental cyclic
loading, elastic rebound curve are plotted for various
shaped footings and a comparison is made for elastic
rebound of all footings as shown below in Fig.14
Fig -14: Elastic Rebound Curve
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 966
1.7 CONCLUSIONS
A. Monotonic Loading: Settlements in all the six footings
when subjected to monotonic loading and their comparison
with square footing at load intensity of 533KN/m2(800kg)is
shown in Table 2 below.
TABLE 2
Footing Settlement
(mm)
% inc.wrt to
square
footing
Square 29.13 -
Rectangular 30.74 5.52
Circular 31.21 7.14
Octagonal 32.15 10.36
Hexagonal 32.45 11.39
Triangular 33.63 15.4
B. Cyclic Loading: Settlements in all the six footings when
subjected to incremental cyclic loadingandtheircomparison
with square footing is shown in Table 3 below.
TABLE 3
Footing settlement
(mm)
% inc. wrt to
square footing
Square 31.97 -
Rectangular 32.30 1.03
Circular 35.03 9.5
Octagonal 39.96 24.99
Hexagonal 38.06 19.04
Triangular 40.08 25.36
C. Settlement: Settlement was more in triangular footing as
compared to other footings at same load intensity under
monotonic and incremental cyclic loading.
D. Elastic rebound curve: From elastic rebound curve it is
observed that the elastic rebound is more in circular footing
as compared to other footing.
E. Hence from the above study it can be concluded that
square shape is better and triangular shape is least suitable
for footing.
1.8 REFERENCES
[1]. Byrne B.W., Houlsby G.T.,& Martin C.M. (2002) โ€œCyclic
Loading of Shallow Offshore Foundations On Sand
โ€œDepartment of Engineering Science, The University of
Oxford, United Kingdom.
[2]. Fellenius B.H., &AltaeeA.,(1994). โ€œStress and settlement
of footings in and.โ€ Proceedings of the American Society
of Civil Engineers, ASCE, conference on vertical and
horizontal deformations for foundations and
embankments, geotechnical special publication,gsp, no.
40, college station, TX, June 16 - 18, 1994,vol.2pp.1760
- 1773.
[3]. Gottardi G., Houlsbyand G. T., & Butterfield R.,(1999)
โ€œPlastic Response of Circular Footings on Sand under
General Planar Loading.โ€. Geotechnique 49, No. 4, 453-
469.
[4]. ShajaratiAmir, Sorensen Kris Wessel, Nielsen
SorenKjaer& Ibsen Lars Bo โ€œBehaviors of Cohesionless
Soils During Cyclic Loadingโ€ Published 2012 by Aalborg
University Department of Civil Engineering
Sohngaardsholmsvej 57, DK-9000 Aalborg, Denmark
Printed in Aalborg at Aalborg University ISSN 1901-
7278 DCE Technical Memorandum No. 14
[5]. Tafreshi S.N. Moghaddas,MehrjardiGh.TavakoliAhmadi
M., (2011)โ€œExperimental andnumerical investigationon
circular footing subjected to incremental cyclic loads
โ€œInternational Journal of Civil Engineering, Vol. 9, No. 4,
December 2011.
[6]. Tafreshi S.N. Moghaddas ,Zarei S.E., and Soltanpour
Y.,(2008) โ€œCyclic Loading On FoundationtoEvaluatethe
Coefficient of Elastic Uniform CompressionofSandโ€The
14th World Conference on Earthquake Engineering
October 12-17, 2008, Beijing, China.
[7]. Tavakoli H.R., Shafiee A., andJafariM.K.,(2008)โ€œEffectof
cyclic loading on undrained behavior of compacted
sand/clay mixtures.โ€ The 14th World Conference on
Earthquake Engineering October 12-17, 2008, Beijing,
China.

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IRJET- Experimental Study of various Shaped Isolated Footings under Monotonic and Incremental Cyclic Loading on Black Cotton Soil

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 962 EXPERIMENTAL STUDY OF VARIOUS SHAPED ISOLATED FOOTINGS UNDER MONOTONIC AND INCREMENTAL CYCLIC LOADING ON BLACK COTTON SOIL Niraj Gupta1, Pravin Patel2, Mrs. Komal Bedi3 1Student, M.Tech. Structural Engineering, Alpine Institute of Technology Ujjain, MP, India 2Consultant Civil Engineer, Vistara Consultant ,Indore MP, India 3H.O.D. Dept. of Civil Engineering, Alpine Institute of Technology Ujjain, MP, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Bearing capacity and settlement are the two major criteria for designing of foundation. Alsoitisnotalways subjected to monotonic loading but itisalsosubjectedtocyclic loading. The examples are lifts, bridges foundation, machine foundation, offshore structure, wind waves etc. In this experimental work an attempt has been made to study the behavior of six various shaped footing specimens. For this purpose the area of footing specimens was taken same as 150cm2 and dimension are fixed accordingly. Theyarestudied under black cotton soil. Monotonic and cyclic loading tests were conducted on all the six specimens and load intensityโ€“ settlement curves are plotted. It is concluded after studying the load intensity-settlement behavior that square footing shows least settlement while triangular footing shows maximum settlement at same loading intensity. Elastic rebound curve are also studied from the load intensity โ€“ settlement curves. Experimentally it is found that square footing shows better performance while triangular footing shows poor behavior. Key Words: Black Cotton Soil, Elastic Rebound,Footings, Incremental Cyclic Loading, Settlement, 1. Introduction The Bearing capacity of soil plays a major role in design of footings. As footings are used in a variety of fields such as wall foundations, offshore platforms, bridges, machinery foundations etc. the nature of load transmitted also varies. The load transmitted to the soil causes the settlementof soil. The settlement of soil varies with nature of loading such as static loading, dynamic loading, cyclic loading, repeated loading etc. When structures are subjectedtocyclic loadings, the footing might fail at loads much smaller than the failure load for static condition which in turn will give rise to the collapse of structures. The method of foundation design requires that they must possess sufficient safety against failure and settlement must be kept within the tolerable limits. The shape of footing also play an important role in design of footing. Two different shaped footing may show different settlement on same soil subjected to same loading condition. 1.1 Aim of study The load settlement behavior of footings of rectangular, circular and square shapes is well known. In the present study an attempt is made to compare the Load-settlement behavior of six differentshapedfootingsnamelyrectangular, circular, square, hexagonal, triangular and octagonal footing under monotonic and incremental cyclic loading on black cotton soil. The study is carried out using black cotton soil as strata. In this artificial field test the density and moisture content of the soil were kept same as existing in the field. Load intensity -settlement curves under monotonic and incremental cyclic loading are plotted and studied. 1.2 Experimental Program A. Test specimens:- Six footing specimens having different shape and same surface area (150cm2) with plate thickness equal to 8 mm have been used. B. Soil Used: Each specimen has been tested on black cotton soil. Density of black cotton soil is kept equal to 14 KN/m3. Table -1: Sample Table format S No. Shape Of footing Size(in cm) 1 Circular Dia 13.8 cm 2 Triangular Each Side of 18.16 cm 3 Square 12.3 cm X 12.3 cm 4 Rectangular 15 cm X10 cm 5 Hexagonal 7.6 cm Each 6 Octagonal 5.3 cm Each Side
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 963 Fig -1: Dimension of all footings model in cm Fig -2: Details of footing model Fig -3: Actual photograph of all footing model in cm 1.3 Instrumentation The footing specimens are tested under monotonic and incremental cyclic loading, load being applied axially at centre of footing. A load cell is used to apply load while settlements are measured using dial gauges. The loading arrangement and instrumentation is as follows: ๏‚ท Loading Arrangement: The loading arrangement consisted of a tank, reaction frame, hydraulic jack, load cell and digital load indicator. Tank of size 125 cm x 75 cm x 45 cm was filled with soil. The load was applied manually by hydraulic jack. The reaction frame was fitted to the tank keeping center of frame vertically above the center of tank. The loading arrangement is shown in Fig 4. ๏‚ท Load meter and Load Cell: Load cell is pressure transducers of capacity 20KN used to record load applied. The load cell was connected to load meter to measure the load applied. ๏‚ท Dial Gauges and LVDT: Dial gauges that can measure upto 25mm with least count of 0.01mm were used. Fig -3: Experimental Setup 1.4 Test Procedures A. Testing Under Monotonic Loading: The testing under monotonic loading has been carried out as follows: 1) The soil sample taken from the field was filled up to a height of 40cm in three layers. The bottom and middle layer having thickness 15cm each and a top layer of 10 cm. Each layer is compacted to achieve field density. 2) The footing specimen placed centrally andloadwas applied vertically through hydraulic jack. 3) The load was applied at an increment of 50kgs. 4) The rate of loading was kept 1kg/sec. 5) Readings of the dial gauge were noted at each increment of load. The load intensity was kept constant for 90 sec or readingindial gaugebecomes stable. 6) After each testing the soil was again disturbed and then again compacted for next specimen. The same procedure has been followed for all the six footing specimen. B. Testing Under Cyclic Loading: The testing under monotonic loading has been carried out as follows:
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 964 1) The maximum load obtained from monotonic test was divided in equal parts of 50kg for applying cyclic loading. 2) The rate of loading and unloading was selected as 1kg /sec. The cyclic loading time history is shown below in Fig 5. Fig -5: Time History curve for cyclic incremental loading 3). The load was released to zero so that soil can rebound and then again soil was reloaded up to next cycle. 4). The readings were taken at an interval of 25kgs for more accurate results. 5).After each testing soil wasdisturbedandagaincompacted up to field density. 1.5 RESULT A) Test Result:- The study has been carried out on six different shaped footing as described above. The Load Intensity - Settlement behavior of these footings obtained under black cotton soil has been presented in the form of Load Intensity vs Settlement curve under monotonic and cyclic loading from Fig.6 to Fig.13. Fig -6: shows comparison of Load Intensity v/s Settlement curve of various shaped footings on black cotton soil subjected to monotonic loading. . Fig -7: Load Intensity vs Settlement curve for square shaped footing on black cotton soil subjected to incremental cyclic loading. Fig -8: Load Intensity vs Settlement curve for rectangular shaped footing on black cotton soil subjected to incremental cyclic loading. Fig -9: Load Intensity vs Settlement curve for circular shaped footing on black cotton soil subjected to incremental cyclic loading.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 965 Fig -10: Load Intensity vs Settlement curve for octagonal shaped footing on black cotton soil subjected to incremental cyclic loading. Fig -11: Load Intensity vs Settlement curve for hexagonal shaped footing on black cotton soil subjected to incremental cyclic loading. Fig -12: Load Intensity vs Settlement curve for triangular shaped footing on black cotton soil subjected to incremental cyclic loading. Fig -13: Comparison of Load Intensity vs Settlement curve for all six footings on black cotton soil subjected to incremental cyclic loading. 1.6 DISCUSSION A). Monotonic Loading: From Fig.6 for monotonic loading it can be seen that settlement at a given load intensity, 533KN/m2(800kg), is maximum for triangular shaped footing while it is minimum for square footing. B). Cyclic Loading: The same behavior of settlement at a given load intensity, 400KN/m2 (600kg) is observed from a comparative load intensity v/s settlement curve of various footings subjected to incremental cyclic loading as shown in Fig.13. Triangular footing shows maximumsettlementwhile that of square footing shows minimum settlement. C). Elastic Rebound: From the readings taken during unloading of specimen subjected to incremental cyclic loading, elastic rebound curve are plotted for various shaped footings and a comparison is made for elastic rebound of all footings as shown below in Fig.14 Fig -14: Elastic Rebound Curve
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 ยฉ 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 966 1.7 CONCLUSIONS A. Monotonic Loading: Settlements in all the six footings when subjected to monotonic loading and their comparison with square footing at load intensity of 533KN/m2(800kg)is shown in Table 2 below. TABLE 2 Footing Settlement (mm) % inc.wrt to square footing Square 29.13 - Rectangular 30.74 5.52 Circular 31.21 7.14 Octagonal 32.15 10.36 Hexagonal 32.45 11.39 Triangular 33.63 15.4 B. Cyclic Loading: Settlements in all the six footings when subjected to incremental cyclic loadingandtheircomparison with square footing is shown in Table 3 below. TABLE 3 Footing settlement (mm) % inc. wrt to square footing Square 31.97 - Rectangular 32.30 1.03 Circular 35.03 9.5 Octagonal 39.96 24.99 Hexagonal 38.06 19.04 Triangular 40.08 25.36 C. Settlement: Settlement was more in triangular footing as compared to other footings at same load intensity under monotonic and incremental cyclic loading. D. Elastic rebound curve: From elastic rebound curve it is observed that the elastic rebound is more in circular footing as compared to other footing. E. Hence from the above study it can be concluded that square shape is better and triangular shape is least suitable for footing. 1.8 REFERENCES [1]. Byrne B.W., Houlsby G.T.,& Martin C.M. (2002) โ€œCyclic Loading of Shallow Offshore Foundations On Sand โ€œDepartment of Engineering Science, The University of Oxford, United Kingdom. [2]. Fellenius B.H., &AltaeeA.,(1994). โ€œStress and settlement of footings in and.โ€ Proceedings of the American Society of Civil Engineers, ASCE, conference on vertical and horizontal deformations for foundations and embankments, geotechnical special publication,gsp, no. 40, college station, TX, June 16 - 18, 1994,vol.2pp.1760 - 1773. [3]. Gottardi G., Houlsbyand G. T., & Butterfield R.,(1999) โ€œPlastic Response of Circular Footings on Sand under General Planar Loading.โ€. Geotechnique 49, No. 4, 453- 469. [4]. ShajaratiAmir, Sorensen Kris Wessel, Nielsen SorenKjaer& Ibsen Lars Bo โ€œBehaviors of Cohesionless Soils During Cyclic Loadingโ€ Published 2012 by Aalborg University Department of Civil Engineering Sohngaardsholmsvej 57, DK-9000 Aalborg, Denmark Printed in Aalborg at Aalborg University ISSN 1901- 7278 DCE Technical Memorandum No. 14 [5]. Tafreshi S.N. Moghaddas,MehrjardiGh.TavakoliAhmadi M., (2011)โ€œExperimental andnumerical investigationon circular footing subjected to incremental cyclic loads โ€œInternational Journal of Civil Engineering, Vol. 9, No. 4, December 2011. [6]. Tafreshi S.N. Moghaddas ,Zarei S.E., and Soltanpour Y.,(2008) โ€œCyclic Loading On FoundationtoEvaluatethe Coefficient of Elastic Uniform CompressionofSandโ€The 14th World Conference on Earthquake Engineering October 12-17, 2008, Beijing, China. [7]. Tavakoli H.R., Shafiee A., andJafariM.K.,(2008)โ€œEffectof cyclic loading on undrained behavior of compacted sand/clay mixtures.โ€ The 14th World Conference on Earthquake Engineering October 12-17, 2008, Beijing, China.