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PRESENTED BY SABNA THILAKAN
Semester III
ME (Found. Engg)
Guided by
Prof. Nisha Naik
4-02-2015
GEOTECHNICAL BEHAVIOUR OF
SHELL FOUNDATIONS
Objective of study
 Provide and insight into the geotechnical
behaviour of shell foundations
 Showcase its advantages over conventional
foundation structures
 Popularize the concept of shell foundations
as an economical replacement to
conventional flat footings
Shells
Structures that derive its strength from its
geometry rather than mass
Three dimensional manifestation of the arch-
action
SHELLS
 Commonly found shells in nature
Shells as structures
 Used widely as roof structures both in the
past as well as present
 Gives maximum strength with minimum
material consumption
 Very economical as they can cover large
space
 Aesthetics
 Shell roofs in Germany showed
remarkable resistance to bombing during
World War II
Some famous shell structures
Shells as foundations
 Many buildings in India have been supported on
inverted brick arches
 IS 9456-1980 Code of Practice for Design and
Construction of Conical and Hyperbolic Parabolic
Type of Shell Foundations
Shells as foundations
Classification
Shells
Curved
Singly
curved
Doubly
curved
Folded
Plates
Upright Inverted
Doubly
curved
Synclastic(Curved in
same direction)
Eg. Spherical
dome
Anticlastic(Curved in
opposite direction)
Eg.Hyperbolic
paraboloid
Synclastic and Anticlastic
Shells Used in Foundations
Hypar (Hyperbolic paraboloid)
 Made up of two parabolas one over the other
 Anticlastic
 Also formed as a warped surface using straight line
generatrix
Conical
 Simplest form of shell
Pyramidal shell foundation
 Square or rectangular in
plan
 Combine to form raft
Spherical shell
 Complex geometry
 Does not possess
straight line property
 Difficult to construct
 Costly
Elliptical paraboloid shell foundation
 Synclastic shape
 Used a single unit of
foundation
e.g towers, chimneys
 Built with edge beams
iver which columns can
be supported
Inverted Dome Shell
Foundation
Paraboloid and Hyperboloid of
revolution shells
 Suited for tower shaped
structures
Literature Survey
Hanna and Abdel- Rahman (1998)
 studied behaviour of three types of shells namely,
triangular strip, conical and pyramidal
 Compare results with conventional flat counterparts.
 Loose, medium, dense sands
 Experimental, numerical (PLAXIS) and theoretical
analysis
 Special tests on coloured sands
 On surface and embedded
Plain
strain
Axisymm
etrical
Three
dimensio
nal
Flat strip Flat
circular
Flat
square
Rise to
half
width =
½
Triangula
r 1
Conical 1 Pyramidal
1
Rise to
half
width =
1
Triangula
r 2
Conical 2 Pyramidal
2
Square flat and Pyramidal model
at ultimate stage
Typical Load-Settlement Curves
for Plain Strain conditions
Comparison
 Shell efficiency factor (η )
 Settlement factor (Fδ)
Qus is the ultimate load of shell
footing
Quf is the ultimate load of flat
footing
Fδ= Non dimensional settlement factor
δu= Settlement at ultimate load
γ = Unit weight of soil
Ah= area of footing as projected
horizontally
Qu=Ultimate load
 Ultimate load higher for shells as compared to flat
foundations
 Bearing capacity increases with shell angle θ
 Shell gain factor decreases with ϕ
 Settlement factor was less for shells as compared to
flat footings
 Rupture area was shallower as compared to that of flat
foundations
Calculation of bearing capacity (Abdel,1996)
qu = c Nc + γ Df Nq + γ b Nγ
Nc, Nq and Nγ are bearing
capacity factors as
functions of ϕ and θ
Kurian and Devaki (2005)
 Conical,Spherical ,Hypars(a/b=1)
 Experimental and FEM analysis
 Bearing Capacity
 Settlement characteristics
 Comparison with flat counterparts (circular and square)
 Parameters chosen:
• Interface roughness (µ =0, tan(2/3 ϕ) , 100)
• Type of soil ( c, ϕ and c - ϕ soils)
• Type of loading (vertical loading , horizontal loading, moments)
Huat and Mohammed (2006)
 FEM analysis
(PLAXIS)
 Hypar , conical and
spherical
 Load carrying capacity
 Effect of edge beams
 Effect of depth of
embeddment
Effect of
Embeddment
Effect of edge
beams
Huat et al (2007)
 Triangular shell
 Upright and inverted
 Effect of shell thickness t and shell angle θ
 Lab tests
 Field tests
 Numerical tests ( 2D and 3D using LUSAS)
Field test set up
Endalkachew (2009)
 Conical shells and flat circular footing
 Numerically modeled in PLAXIS
 Soil used was red Clay
 Mohr coulomb model was used in FEM
Azziz et al (2011)
 Hypar shell footings
 Best shell configuration for foundation
 Easy construction because of straight line
property
 Economical, Savings in construction costs
Rinaldi (2012)
 Studied upright
and inverted shells
 Modeled in PLAXIS
 deflection
 soil stresses
 contact pressures
Triangular
models
Cylindrical
models
Plaxis modeling
Summary
Advantages of shell foundations over conventional flat
foundations
 shells are simple to construct (especially hypar, conical)
 Greater load capacity
 Greater stability
 Minimum material consumption.
 Lesser construction costs.
 Inverted shells have higher load capacity than upright
ones
 Advantageous in developing countries with high
material-labour costs
 Conical foundation suitable for chimney and tower like
structures.
Disadvantages
 Limited shapes as foundations
 Difficult to prepare formworks (esp. spherical )
 Skilled labour required
 Soil subsidence can pose problems
 Uncertainties when dealing with soils with large
volume changes
References
Abdel-Rahman, M.M, and A.M.Hanna (1990) Experimental Investigation of Shell Foundations
on Dry Sand. Canadian Geotechnical Journal, J.35,pp.847-857.
Abdel-Rahman, M.M, and A.M.Hanna (1990) “Ultimate Bearing Capacity of Triangular Shell
Strip Footing on Sand”.Journal of Geotechnical Engineering ASCE, 116(2):1851-1863
Abdel-Rahman, M., (1996).” Geotechnical behavior of shell foundations”. Ph.D Thesis,
Department of Civil Engineering, Concordia University, Montréal, Canada.
Ángel E. C., William C., Yoermes G, José Á.(2011).”A look at half a century of shells
foundations, methods of calculation and associate research in Cuba” Revista Ingeniería de
Construcción ,Vol. 26 No3, pp 245-268
Fernando N., Sendanayake E., Sendanayake D., De Silva N., (2011) “The Experimental
Investigation of Failure Mechanism and Bearing Capacity of Different Types of Shallow
Foundations” Department of Civil Engineering, University of Moratuwa.
Hanna, A.M. and M. Abdel-Rahman, (1998). “Experimental investigation on shell foundations on
dry sand”. Can. Geotech. Journal., 35: 828-846.
Huat, B.B.K. and Mohammed, T.A. (2006). “Finite Element Study Using FE Code (PLAXIS) on
the Geotechnical Behaviour of Shell Footings”.Journal of Computer Science. USA: NY. 2(1):
104-108.
.
References
Huat B. B. K.,Mohammed T. A., Abang Ali A. A. A. and Abdullah A.A,(2007), “Numerical and Field
Study on Triangular Shell Footing for Low Rise Building”, International Journal of Engineering and
Technology,l. 4- 194-204
IS 9456 – 1980, Code of Practice for Design and Construction of Conical and Hyperbolic
Paraboloidal types of Shell Foundations
Kurian, N. P. & Jeyachandran, S. R. (1972). “Model studies on the behaviour of sand under two and
three dimensional shell foundations”. Indian Geotechnical Journal, Vol. 2, No. 1, pp. 79-90.
Minami K.,’Foundation Construction Using Hollow Shells to Minimize Settlement,” Part 1, General
Concepts, Trans., Arch. Institute of Japan, No. 37, pp 52-57, Tokyo
Nainan P. Kurian and V.M. Jayakrishna Devaki, (2005), “Analytical studies on the geotechnical
performance of shell foundations,” published on the NRC Research press web site at http://cgi.nrc.ca
on 19 May 2005
Rinaldi R.(2012).”Inverted Shell Foundation Performance In Soil”.A Thesis in the Department of
Building, Civil & Environmental Engineering. Concordia University, Montreal, Quebec, Canada
Varghese P.C.,(2009) .”Design of Reinforced Concrete Foundations”.Published by Ashok K Ghosh,
PHI Learning Private .pp 27
Geotechnical behaviour of shell foundations

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Geotechnical behaviour of shell foundations

  • 1. PRESENTED BY SABNA THILAKAN Semester III ME (Found. Engg) Guided by Prof. Nisha Naik 4-02-2015 GEOTECHNICAL BEHAVIOUR OF SHELL FOUNDATIONS
  • 2. Objective of study  Provide and insight into the geotechnical behaviour of shell foundations  Showcase its advantages over conventional foundation structures  Popularize the concept of shell foundations as an economical replacement to conventional flat footings
  • 3. Shells Structures that derive its strength from its geometry rather than mass Three dimensional manifestation of the arch- action
  • 4. SHELLS  Commonly found shells in nature
  • 5. Shells as structures  Used widely as roof structures both in the past as well as present  Gives maximum strength with minimum material consumption  Very economical as they can cover large space  Aesthetics  Shell roofs in Germany showed remarkable resistance to bombing during World War II
  • 6. Some famous shell structures
  • 7.
  • 8. Shells as foundations  Many buildings in India have been supported on inverted brick arches  IS 9456-1980 Code of Practice for Design and Construction of Conical and Hyperbolic Parabolic Type of Shell Foundations
  • 11. Doubly curved Synclastic(Curved in same direction) Eg. Spherical dome Anticlastic(Curved in opposite direction) Eg.Hyperbolic paraboloid
  • 13. Shells Used in Foundations Hypar (Hyperbolic paraboloid)  Made up of two parabolas one over the other  Anticlastic  Also formed as a warped surface using straight line generatrix
  • 14.
  • 16. Pyramidal shell foundation  Square or rectangular in plan  Combine to form raft
  • 17. Spherical shell  Complex geometry  Does not possess straight line property  Difficult to construct  Costly
  • 18. Elliptical paraboloid shell foundation  Synclastic shape  Used a single unit of foundation e.g towers, chimneys  Built with edge beams iver which columns can be supported Inverted Dome Shell Foundation
  • 19. Paraboloid and Hyperboloid of revolution shells  Suited for tower shaped structures
  • 20. Literature Survey Hanna and Abdel- Rahman (1998)  studied behaviour of three types of shells namely, triangular strip, conical and pyramidal  Compare results with conventional flat counterparts.  Loose, medium, dense sands  Experimental, numerical (PLAXIS) and theoretical analysis  Special tests on coloured sands  On surface and embedded
  • 21.
  • 22. Plain strain Axisymm etrical Three dimensio nal Flat strip Flat circular Flat square Rise to half width = ½ Triangula r 1 Conical 1 Pyramidal 1 Rise to half width = 1 Triangula r 2 Conical 2 Pyramidal 2
  • 23. Square flat and Pyramidal model at ultimate stage
  • 24. Typical Load-Settlement Curves for Plain Strain conditions
  • 25. Comparison  Shell efficiency factor (η )  Settlement factor (Fδ) Qus is the ultimate load of shell footing Quf is the ultimate load of flat footing Fδ= Non dimensional settlement factor δu= Settlement at ultimate load γ = Unit weight of soil Ah= area of footing as projected horizontally Qu=Ultimate load
  • 26.  Ultimate load higher for shells as compared to flat foundations  Bearing capacity increases with shell angle θ  Shell gain factor decreases with ϕ  Settlement factor was less for shells as compared to flat footings  Rupture area was shallower as compared to that of flat foundations
  • 27. Calculation of bearing capacity (Abdel,1996) qu = c Nc + γ Df Nq + γ b Nγ Nc, Nq and Nγ are bearing capacity factors as functions of ϕ and θ
  • 28. Kurian and Devaki (2005)  Conical,Spherical ,Hypars(a/b=1)  Experimental and FEM analysis  Bearing Capacity  Settlement characteristics  Comparison with flat counterparts (circular and square)  Parameters chosen: • Interface roughness (µ =0, tan(2/3 ϕ) , 100) • Type of soil ( c, ϕ and c - ϕ soils) • Type of loading (vertical loading , horizontal loading, moments)
  • 29. Huat and Mohammed (2006)  FEM analysis (PLAXIS)  Hypar , conical and spherical  Load carrying capacity  Effect of edge beams  Effect of depth of embeddment Effect of Embeddment
  • 31. Huat et al (2007)  Triangular shell  Upright and inverted  Effect of shell thickness t and shell angle θ  Lab tests  Field tests  Numerical tests ( 2D and 3D using LUSAS)
  • 33. Endalkachew (2009)  Conical shells and flat circular footing  Numerically modeled in PLAXIS  Soil used was red Clay  Mohr coulomb model was used in FEM
  • 34. Azziz et al (2011)  Hypar shell footings  Best shell configuration for foundation  Easy construction because of straight line property  Economical, Savings in construction costs
  • 35. Rinaldi (2012)  Studied upright and inverted shells  Modeled in PLAXIS  deflection  soil stresses  contact pressures Triangular models Cylindrical models Plaxis modeling
  • 36. Summary Advantages of shell foundations over conventional flat foundations  shells are simple to construct (especially hypar, conical)  Greater load capacity  Greater stability  Minimum material consumption.  Lesser construction costs.  Inverted shells have higher load capacity than upright ones  Advantageous in developing countries with high material-labour costs  Conical foundation suitable for chimney and tower like structures.
  • 37. Disadvantages  Limited shapes as foundations  Difficult to prepare formworks (esp. spherical )  Skilled labour required  Soil subsidence can pose problems  Uncertainties when dealing with soils with large volume changes
  • 38. References Abdel-Rahman, M.M, and A.M.Hanna (1990) Experimental Investigation of Shell Foundations on Dry Sand. Canadian Geotechnical Journal, J.35,pp.847-857. Abdel-Rahman, M.M, and A.M.Hanna (1990) “Ultimate Bearing Capacity of Triangular Shell Strip Footing on Sand”.Journal of Geotechnical Engineering ASCE, 116(2):1851-1863 Abdel-Rahman, M., (1996).” Geotechnical behavior of shell foundations”. Ph.D Thesis, Department of Civil Engineering, Concordia University, Montréal, Canada. Ángel E. C., William C., Yoermes G, José Á.(2011).”A look at half a century of shells foundations, methods of calculation and associate research in Cuba” Revista Ingeniería de Construcción ,Vol. 26 No3, pp 245-268 Fernando N., Sendanayake E., Sendanayake D., De Silva N., (2011) “The Experimental Investigation of Failure Mechanism and Bearing Capacity of Different Types of Shallow Foundations” Department of Civil Engineering, University of Moratuwa. Hanna, A.M. and M. Abdel-Rahman, (1998). “Experimental investigation on shell foundations on dry sand”. Can. Geotech. Journal., 35: 828-846. Huat, B.B.K. and Mohammed, T.A. (2006). “Finite Element Study Using FE Code (PLAXIS) on the Geotechnical Behaviour of Shell Footings”.Journal of Computer Science. USA: NY. 2(1): 104-108. .
  • 39. References Huat B. B. K.,Mohammed T. A., Abang Ali A. A. A. and Abdullah A.A,(2007), “Numerical and Field Study on Triangular Shell Footing for Low Rise Building”, International Journal of Engineering and Technology,l. 4- 194-204 IS 9456 – 1980, Code of Practice for Design and Construction of Conical and Hyperbolic Paraboloidal types of Shell Foundations Kurian, N. P. & Jeyachandran, S. R. (1972). “Model studies on the behaviour of sand under two and three dimensional shell foundations”. Indian Geotechnical Journal, Vol. 2, No. 1, pp. 79-90. Minami K.,’Foundation Construction Using Hollow Shells to Minimize Settlement,” Part 1, General Concepts, Trans., Arch. Institute of Japan, No. 37, pp 52-57, Tokyo Nainan P. Kurian and V.M. Jayakrishna Devaki, (2005), “Analytical studies on the geotechnical performance of shell foundations,” published on the NRC Research press web site at http://cgi.nrc.ca on 19 May 2005 Rinaldi R.(2012).”Inverted Shell Foundation Performance In Soil”.A Thesis in the Department of Building, Civil & Environmental Engineering. Concordia University, Montreal, Quebec, Canada Varghese P.C.,(2009) .”Design of Reinforced Concrete Foundations”.Published by Ashok K Ghosh, PHI Learning Private .pp 27
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