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Analysing the base of precast column in socket foundations with smooth interfaces

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Abstract

This paper analyzes the behavior of the base of a precast column in the socket foundation with smooth interfaces. This research is motivated by the lack of information and guidelines on the behavior of column bases in the embedded region. An experimental program with two full-scale specimens was carried-out. These two specimens had smooth interfaces at the internal faces of the socket, different embedded lengths and were subjected to loads with large eccentricities. The experimental results showed that the failure of the specimens occurred by the yielding of the longitudinal reinforcement out of the embedded region, while the transverse reinforcement was not very stressed. Some recommendations on the anchorage of the longitudinal reinforcement and a strut-and-tie model for the behavior of column bases in the embedded region are proposed.

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Abbreviations

α :

Inclination angle between the inclined strut F 2 and the horizontal axis

b :

Base of column cross section

β :

Inclination angle between the inclined strut F 6 and the horizontal axis

LC-I:

Strain average of longitudinal reinforcements in the compression side at level I

LC-In:

Strain of longitudinal reinforcement n in the compression side at level I

d :

Distance from compressed edge to centre of main tension reinforcement of column

e :

Eccentricity of axial load

E cm :

Average concrete modulus of elasticity

e nb :

Eccentricity of vertical base reaction F nb

E sm :

Average steel modulus of elasticity

ε ym :

Average reinforcement yield strain

f cm :

Average concrete compressive strength

f ctm,sp :

Average concrete tensile strength determined by split cylinder tests

F fri,b :

Friction force due to F nb

F fri,bot :

Friction force due to H bot

F i :

Internal force of strut or tie i of the truss

F fri,top :

Friction force due to H top

F nb :

Vertical base reaction

f stm :

Average steel stress strength

f ym :

Average steel yield strength

h :

Height of column cross section

H bot :

Horizontal resultant of bottom pressures on transverse wall 2

H bot1 :

Upper horizontal resultant of pressures on transverse wall 2

H bot2 :

Lower horizontal resultant of pressures on transverse wall 2

H top :

Horizontal resultant of top pressures on transverse wall 1

η :

Coefficient for consideration of the percentile of H top−V d

\( \ell _{\text{emb}} \) :

Embedded length

LT-I:

Strain average of longitudinal reinforcements in the tension side at level I

LT-In:

Strain of longitudinal reinforcement n in the tension side at level I

LT-Inw:

Strain average of non-welded longitudinal reinforcements in the tension side at level I

LT-Iw:

Strain average of welded longitudinal reinforcements in the tension side at level I

M :

Column bending moment at top of socket foundation

M d :

Design column bending moment at top of socket foundation

M u :

Ultimate bending moment

μ :

Friction coefficient

N :

Column axial force at top of socket foundation

N d :

Design column axial force at top of socket foundation

N u :

Ultimate axial load

θ :

Inclination angle between R v and the horizontal axis

R c :

Compressive force applied at the node of truss

R t :

Tension force applied at the node of truss

R v :

Inclined compressive force applied at the node of truss

ρ :

Reinforcement rate

T-Ae:

Strain average of external transverse reinforcements at level A

T-Aen:

Strain of external transverse reinforcement n at level A

T-Aia:

Strain average of internal transverse reinforcements at level A

T-Ain:

Strain of internal transverse reinforcement n at level A

T-I:

Strain average of transverse reinforcements at level I

T-In:

Strain of transverse reinforcement n at level I

V d :

Design shear force at top of socket foundation

x :

Neutral axis depth of column

y :

Distance from the top of socket foundation to the resultant H top

y′ :

Distance from the bottom of column to the resultant H bot1

y″ :

Distance from the bottom of column to the resultant H bot2

References

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Acknowledgements

The authors would like to acknowledge the Brazilian government agencies, CNPq for the scholarship and FAPESP for the financial support. The conclusions and opinions expressed in this paper are the authors’ responsibility and do not reflect the points of view of the sponsors.

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Authors and Affiliations

  1. University of Illinois at Urbana-Champaign, 205 North Mathews Avenue, Urbana, IL, 61801-2352, USA

    Rejane Martins Fernandes Canha

  2. University of São Paulo at São Carlos, Sao Carlos, Brazil

    Rejane Martins Fernandes Canha & Eimair Bottega Ebeling

  3. Department of Structural Engineering, University of São Paulo at São Carlos, Sao Carlos, Brazil

    Ana Lucia H. de Cresce El Debs & Mounir Khalil El Debs

Authors
  1. Rejane Martins Fernandes Canha
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  2. Eimair Bottega Ebeling
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  3. Ana Lucia H. de Cresce El Debs
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  4. Mounir Khalil El Debs
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Corresponding author

Correspondence to Rejane Martins Fernandes Canha.

Additional information

R. M. F. Canha was a former PhD student at the University of São Paulo at São Carlos—Brazil.

E. B. Ebeling was a former MSc student at the University of São Paulo at São Carlos—Brazil.

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Canha, R.M.F., Ebeling, E.B., de Cresce El Debs, A.L.H. et al. Analysing the base of precast column in socket foundations with smooth interfaces. Mater Struct 42, 725–737 (2009). https://doi.org/10.1617/s11527-008-9416-4

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  • DOI: https://doi.org/10.1617/s11527-008-9416-4

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