erratum: a three-dimenstional slope stability problem in clay

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ERRATUM / ERRATUM Erratum: A three-dimenstional slope stability problem in clay Vincenzo Silvestri Ref.: Can. Geotech. J. 43: 224–228 (2006). On page 225, eqs. [12] and [13] should read: [12] M SR r o u d d = = = φ = = 4 3 2 0 0 1 cos cos (cos / cos ) θ θ ψ ψ ψ θ Θ Ψ Θ [13] M SR r o u d = = = 4 3 2 0 0 1 cos [] cos (cos / cos ) ψ ψ ψ ψθ ψ Θ Θ On page 226, eqs. [14] and [15] should read: [14] M SR r o u d = = = 4 3 2 0 1 cos cos (cos / cos Ψ Ψ Θ Θ ψ ψ) ψ [15] F M M S R = = = = r o d o u 16 4 2 0 1 γπ β ψ sin sin cos cos (cos /co Θ Θ Ψ Ψ Θ s ψ) ψ d As a consequence, in the example cited in the note, that is, for S u / γ R = 0.1, Θ = 60° or π/3 radians, and β = 26.6°, the factor of safety F becomes equal to 1.402. This is the same value as that obtained by Hungr et al. (1989). It should be noted that these errors were brought to the attention of the author by Dr. Peter Wood of Ian Brown Associates Ltd., Wellington, New Zealand. The author is greatly indebted to Dr. Wood. NRC Research Press apologizes for any inconvenience to the readers. Can. Geotech. J. 43: 1105 (2006) doi:10.1139/T06-100 © 2006 NRC Canada 1105 Received 12 September 2006. Accepted 12 September 2006. Published on the NRC Research Press Web site at http://cgj.nrc.ca on 29 September 2006. V. Silvestri. Department of Civil, Geological and Mining Engineering, École Polytechnique, P.O. Box 6079, Station Centre-ville, Montréal, QC H3C 3A7, Canada (e-mail: [email protected]).

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Page 1: Erratum: A three-dimenstional slope stability problem in clay

ERRATUM / ERRATUM

Erratum: A three-dimenstional slope stabilityproblem in clay

Vincenzo Silvestri

Ref.: Can. Geotech. J. 43: 224–228 (2006).

On page 225, eqs. [12] and [13] should read:

[12] M S Rro

u d d==

= φ

=

= −

∫∫4 3 200

1

coscos (cos / cos )

θ

θψψ ψ θ

Θ

Ψ

Θ

[13] M S Rro

u d==

=∫

−4 3 2

0 01

cos [ ]cos (cos / cos )

ψ

ψ ψψ θ ψΘ Θ

On page 226, eqs. [14] and [15] should read:

[14] M S Rro

u d==

= −∫4 3 20

1cos cos (cos / cosΨ

Ψ ΘΘψ ψ) ψ

[15] FMM

SR

= ==

= −∫ro

do

u164

20

1

γ π βψ

sin sincos cos (cos / co

ΘΘ

Ψ

Ψ Θs ψ) ψd

As a consequence, in the example cited in the note, that is, for Su/γR = 0.1, Θ = 60° or π/3 radians, and β = 26.6°, the factorof safety F becomes equal to 1.402. This is the same value as that obtained by Hungr et al. (1989).

It should be noted that these errors were brought to the attention of the author by Dr. Peter Wood of Ian Brown AssociatesLtd., Wellington, New Zealand. The author is greatly indebted to Dr. Wood.

NRC Research Press apologizes for any inconvenience to the readers.

Can. Geotech. J. 43: 1105 (2006) doi:10.1139/T06-100 © 2006 NRC Canada

1105

Received 12 September 2006. Accepted 12 September 2006. Published on the NRC Research Press Web site at http://cgj.nrc.ca on29 September 2006.

V. Silvestri. Department of Civil, Geological and Mining Engineering, École Polytechnique, P.O. Box 6079, Station Centre-ville,Montréal, QC H3C 3A7, Canada (e-mail: [email protected]).