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ORIGINAL PAPER
Pullout Capacity of Inclined Shallow Single Anchor Plate in Sand
Adel Hanna • Adolfo Foriero • Tahar Ayadat
Received: 27 June 2013 / Accepted: 26 February 2014
� Indian Geotechnical Society 2014
Abstract Experimental and analytical investigations on
the pull-out capacity of inclined shallow strip plate anchors
in sand were conducted. Experimentally, a prototype set-up
was developed to measure the pull-out load and displace-
ment of anchor plates in dense sand and further to depict
the failure mechanism of the anchor and the soil mass.
Analytically, the concept of the plastic limit equilibrium
method of analysis was used to develop the analytical
model that would utilize the failure mechanism observed
during the present experimental investigation. In this
investigation, the effect of dilatancy for dense sand, plate
flexibility, and shape factor were examined. After validat-
ing the developed theory with the present experimental
results and the available data in the literature, the analytical
model was used to develop data for a wide range of anchor
inclination/soil/geometry conditions. Design procedure is
recommended for the use of practicing engineers.
Keywords Pull-out capacity � Shallow anchors �Inclined anchor � Experimental investigation �Failure mechanism � Limit equilibrium method of analysis �Sand � Geotechnical engineering
Introduction
Quite often, foundations are designed to resist pullout
forces; for example guyed transmission towers, penstock
anchor blocks, airport hangars, wind loads on tall struc-
tures, hydrostatic uplift due to flooding, earthquake, ice
forces, impact from ships on shore structures, to name a
few. These types of foundations rely heavily on the
mobilized passive earth pressures of soils as the main
source for resisting these loading conditions.
The pullout capacity of earth anchors has been investi-
gated by several researchers; these include: circular plate
anchors [12, 15, 18], square and rectangular plate anchors
[10, 11, 15, 21], strip and slab anchors [3, 14, 15], and
screw anchors [4–7, 9].
Experimental Investigation
Figure 1 presents a sketch the case under investigation. The
set-up comprised of an instrumented plate anchor con-
nected to a rod and the loading system, and Plexiglas tank,
which allows observation during loading and tracing the
rupture mechanism of the anchor/soil mass at failure. The
inside dimensions of the tank were 150, 1200 and
1000 mm in width, length and height, respectively. Fig-
ure 2 presents a schematic diagram of the experimental set-
up used in this investigation.
Sand placing technique was developed and calibrated in
the laboratory for consistency and reproducibility of the
desired unit weight of the sand in the testing tank. The test
commenced with the placement of the anchor in the testing
tank and then spreading the sand from a predetermined
height. Once the tank was full, the loading system was
connected to a rigid frame, capable of applying a pullout
A. Hanna (&) � T. Ayadat
Department of Building, Civil and Environmental Engineering,
Concordia University, 1455 DeMaisonneuve Blvd, West
Montreal, QC H3G 1M8, Canada
e-mail: [email protected]; [email protected]
T. Ayadat
e-mail: [email protected]
A. Foriero
Department of Civil Engineering, Faculty of Science and
Engineering, University of Laval, Quebec, QC G1K 7P4, Canada
e-mail: [email protected]
123
Indian Geotech J
DOI 10.1007/s40098-014-0113-7
load up to 2,500 N through a guiding hole, at any desired
anchor inclination. The pull-out load was applied through a
motorized screw jack with a 75 mm maximum travel,
mounted on a steel plate bolted onto the testing frame. The
combination of a gear shift, a gear reducer and an elec-
tronic speed-controlled device provided the screw jack
with a loading and unloading speed varying from 2.5 to
25 mm/min.
The model anchor was made of a square aluminium
plate 150 mm 9 150 mm. Pressure transducers were
placed flush on the surface facing the sand, in circular
openings cut out of the plate. The transducers were to
measure the earth pressure on the anchor plate during pull-
out loading and accordingly, the pressure distribution on
the plate. The plate was covered with sandpaper to ensure
that the surface characteristics of the plate remained con-
sistent during testing. A hollow steel rod, 25 mm outer
diameter was rigidly connected to the center of the plate
and the loading system, which house the wires connecting
the transducers to the data acquisition system.
The sand used in the investigation is known commer-
cially as ‘‘Morie Sand’’, which is classified as medium sand
with a uniformity coefficient of 1.45. The sand was tested
at a relative density of 63.3 % (dry unit weight
cd = 16.7 kN/m3), which correspond to an angle of
shearing resistance of u = 41.2�, which was obtained from
the test results on direct shear test. Table 1 summarizes the
physical properties of the sand.
Test Results
Table 2 summarizes the testing program and the measured
ultimate pullout load. Figure 3 presents typical test results in
the form of pullout load versus axial displacement. It can be
noted that the pullout capacity increases with the increase of
the inclination angle a of the rod with the vertical, up to a value
of 90�, at which the plate functions as a retaining wall. Fur-
thermore, the pullout capacity Qu increases with the increase
of the ratio H1
B
� �or H2
B
� �: In this investigation, the pullout
capacity Qu was determined from the load–displacement
curve, as the point at which the curve exhibits a peak value or
at the point beyond which the displacement continues to
increase without any increase in the pullout load.
Figure 4 presents test results in the form of the pullout
capacity Qu versus Uf. It can be noted that the pullout
capacity Qu increases with the increase of the angle of
inclination a. This behaviour confirms the finding of Ghaly
and Clemence [4] for shallow and deep inclined anchors in
Sand
H1
H2
H
Q
α
B
Fig. 1 Single plate anchor in sand
1.22m
1.016m
0.61m
Spacing 76mmHoles 14.3mm dia.
Channel section
Steel wire
Rod
LoadCell
Spacing 51mmHoles 14.3mm dia.
ChannelSection
Sand
Anchor
Fig. 2 Schematic diagram of
the experimental setup
Indian Geotech J
123
sand. Based on the result of the present experimental
investigation, the following relationship was proposed:
Qu ¼ 63 � e0:1Uf : ð1ÞFigure 5 presents test results in the form of the passive
earth pressure distribution on the plate as deduced from the
transducers’ readings for an inclination angle a equal 60�
with the vertical. It can be noted as expected that the
bottom edge of the plate is always subjected to higher
pressure compared to the top edge, and accordingly the
failure mechanism starts at the bottom edge of the anchor
and propagates upwards until it reaches the ground level.
This finding confirms our observations during the present
experimental program. Furthermore, it was noted that the
Fig. 3 Pullout load versus axial
displacement (H2/B = 3)
Table 1 Properties of sand
Specific
gravity, Gs
Uniformity
coefficient, Cu
Curvature
coefficient, Cc
Void ratio Grain diameter
Maximum, emax Minimum, emin D10 D30 D60
2.66 1.45 1.24 0.815 0.590 0.82 1.10 1.19
Table 2 Experimental results:
ultimate pullout load (Qu) for
different inclination angles and
the H1/B ratio (u = 41.2�)
Inclination
angle, a (�)
H2/B B (mm) Ultimate pullout
load, Qu (N)
H2/B B (mm) Ultimate pullout
load, Qu (N)
0 2 152.5 255.52 3.25 101.5 235.56
30 289.52 261.12
45 483.24 440.72
60 839.98 783.99
90 1,513.89 1,534.99
0 3 152.5 403.53 4.75 101.5 392.13
30 456.08 461.95
45 771.36 760.91
60 1,176.06 1,435.04
90 2,397.79 –
0 4 152.5 630.16 6.25 101.5 570.61
30 787.07 687.92
45 1,260.77 1,178.04
60 2,334.03 2,278.79
90 – –
Indian Geotech J
123
rupture surface was roughly a truncated conical shape,
which is further deflated at an increase in the angle of
inclination of the anchor. A similar observation was
reported by Frydman and Shaham [3], for the cases of
a = 30�, 45� and 60� (H2/B B6).
Theoretical Model
The observed rupture surface for inclined anchors sub-
jected to pullout load was idealized by two planes; the first
plane is parallel to the anchor rod and includes the bottom
edge of the plate, while the second is a plane making an
angle b, with the ground surface and includes the top edge
of the plate (Fig. 6). The angle b depends on the inclination
angle (a) of the anchor and the angle of shearing resistance
(u) of the sand having a maximum value of p2þ a:
In developing the theoretical model, it was assumed that
the anchor’s plate to be thin and rigid (so that its deformation
was negligible), and during testing it was in full contact with
the surrounding sand. Furthermore, the frictions between the
sand and the tie-rod and the plate surfaces were small enough
to be neglected; in addition, the anchor system was weight-
less for the purpose of evaluating the pullout capacity of the
anchor. The sand was assumed to be homogeneous, isotropic
and behaves as a rigid perfectly-plastic material.
Fig. 4 Pullout capacity versus
displacement at failure
Fig. 5 Distribution of passive earth pressure on the plate edges at
different anchor displacements (a = 60� and H2/B = 3) Fig. 6 Assumed failure surface for the present theory
Indian Geotech J
123
The average mobilized angle of shearing resistance on
the assumed failure plane was taken as dm, where dmB u[8]. The forces acting on the assumed failure surfaces were
the total passive earth force pressures P1 and P2 inclined at
an average angle dm (Fig. 6). Therefore, for a strip anchor
plate of length H, inclined at an angle a, the ultimate
pullout load can be given as:
Qu ¼ QP1Zþ QP2Z
þ QWZ; ð2Þ
where
QP1Z¼ P1 sin dm; ð3Þ
QP2Z¼ P2 cos dm þ b� að Þ; ð4Þ
QWZ¼ W cos a; ð5Þ
where Qu is the ultimate pullout load of the anchor and W is
the weight of the wedge within the failure planes.
Substituting the values of P1, P2 and W in Eqs. (3)–(5),
respectively, the following equation can be obtained:
QP1Z¼ 1
2Kp
0
1 � c � L21 � sin dm; ð6Þ
QP2Z¼ 1
2Kp
0
2 � c � L22 � cos dm þ b� að Þ; ð7Þ
QWZ¼ c
�H1
cos a� B
4þ H � B
4þ H2 sin 2a
4þ H2
B
4cos a
þH � ðcos aÞ2 B
4þ H2
2 cot b2
�cos a: ð8Þ
Substituting Eqs. (6)–(8) in Eq. (2), thus:
Qu ¼1
2R1 � Kp1 � c � L2
1 � sin dm þ1
2R2 � Kp2 � c � L2
2�
cos dm þ b� að Þ
þ c
�H1
cos a� B
4þ H � B
4þ H2 sin 2a
4þ H2
B
4cos a
þH � ðcos aÞ2 B
4þ H2
2 cot b2
�cos a; ð9Þ
where c is the unit weight of sand
H1 ¼ H � cos aþ B
2� sin a; ð10Þ
H2 ¼ H � cos a� B
2� sin a; ð11Þ
L1 ¼H1
cos a; ð12Þ
L2 ¼H2
sin b; ð13Þ
Kp1 and Kp2 are the coefficients of passive earth pressure
which correspond to the angle of shearing resistance u (dm/
u = 1) and walls inclined at angles -a and ?h,
respectively.
R1 and R2 are the reduction factors which depend on the
ratio dm
u :
The parameters R1, R2, Kp1 and Kp2 were taken from the
Tables of Caquot and Kerisel [2].
Equation (9) can be written in the following form:
qu ¼Qu
B¼ 1
2c � B � Nc þ c � D � Nq; ð14Þ
Where D = H�cosa Nc and Nq are the pullout capacity
factors, representing the contribution of c and q (q = c�D),
respectively, where:
Nc ¼ R1 � Kp1 �L2
1
B2� sin dm þ R2 � Kp2 �
L22
B2
� cos dm þ b� að Þ; ð15Þ
Nq ¼H1
4H � cos aþ 1
4þ H � sin 2a
4 � B þ H2
4H� cos aþ ðcos aÞ2
4
þ H22 cot b
2H � B :
ð16Þ
It can be noted that the ultimate pull-out load Qu of an
inclined anchor in sand depends on the values of the angles
b and dm.
The ultimate pullout load of the anchor given by Eq. (9)
was minimized with respect to the angle b using MAT-
LAB. The derivation oQu
ob ¼ 0 was then solved numerically
using the method of Newton–Raphson for different
anchor’s geometry (H and B), angle of shearing resistance
of the sand (u), angle of anchor inclination (a), and average
of locally mobilized angle of shearing resistance (dm). The
analysis showed that the minimum values of the computed
Qu, for all iterations, were found to correspond to the angle
b given by
b ¼ p2þ a� dm: ð17Þ
The locally mobilized angle of shearing resistance (dz) on
the assumed failure plane varied from a maximum value of
(u) at the anchor’s toe, where both the assumed and actual
failure planes coincided to a minimum value at ground
level [8]. The results of the present experimental investi-
gation were substituted in the left-hand side of Eq. (9), and
Eqs. (6)–(8) were used to evaluate the right hand side. This
procedure continued by trial and error until the two sides of
Eq. (9) agreed. A computer program was coded to conduct
the aforementioned calculation. Based on the results
obtained, it is of interest to note that the ratio dm/u is
independent of the ratio H2/B.
Based on the results obtained, it is of interest to note that
the ratio dm/u is independent of the ratio H2/B; further-
more, the relationship between dm/u and the inclination
angle a was found to be exponential with an average
coefficient of determination R2 higher than 0.96. The ratio
Indian Geotech J
123
Table 3 Values of the parameters a and b for different values of the angle of shearing (u)
u (�) 20 25 30 35 40 45
a 0.436 0.322 0.252 0.177 0.118 0.079
b 0.277 0.441 0.544 0.781 1.055 1.343
Table 4 Pullout capacity factor Nc
a (�) u (�) H/B
1 2 3 4 5 6
10 20 0.06 0.21 0.46 0.81 1.25 1.80
25 0.07 0.28 0.60 1.06 1.64 2.34
30 0.10 0.38 0.84 1.46 2.27 3.25
35 0.13 0.48 1.05 1.84 2.84 4.07
40 0.15 0.56 1.23 2.15 3.33 4.77
45 0.16 0.58 1.28 2.24 3.47 4.97
20 20 0.08 0.26 0.54 0.94 1.44 2.06
25 0.11 0.37 0.79 1.37 2.11 3.00
30 0.17 0.57 1.22 2.11 3.24 4.61
35 0.24 0.83 1.76 3.04 4.67 6.64
40 0.33 1.13 2.41 4.16 6.38 9.08
45 0.42 1.41 3.01 5.20 7.98 11.36
30 20 0.09 0.28 0.58 0.98 1.50 2.12
25 0.14 0.45 0.93 1.58 2.40 3.39
30 0.24 0.75 1.54 2.62 3.99 5.64
35 0.38 1.21 2.50 4.26 6.47 9.15
40 0.60 1.90 3.92 6.67 10.14 14.34
45 0.89 2.81 5.80 9.87 15.01 21.22
40 20 0.10 0.29 0.58 0.96 1.45 2.03
25 0.17 0.51 1.01 1.69 2.54 3.57
30 0.31 0.91 1.83 3.05 4.58 6.43
35 0.58 1.69 3.38 5.64 8.48 11.90
40 1.06 3.09 6.17 10.31 15.50 21.75
45 1.93 5.61 11.21 18.72 28.15 39.50
50 20 0.11 0.28 0.54 0.89 1.31 1.82
25 0.21 0.56 1.07 1.75 2.59 3.61
30 0.42 1.11 2.12 3.47 5.14 7.15
35 0.92 2.43 4.67 7.63 11.31 15.72
40 2.09 5.54 10.62 17.35 25.72 35.74
45 5.19 13.74 26.36 43.06 63.83 88.68
60 20 0.12 0.27 0.49 0.78 1.14 1.56
25 0.27 0.64 1.16 1.84 2.67 3.66
30 0.62 1.46 2.65 4.19 6.10 8.35
35 1.81 4.27 7.76 12.30 17.88 24.49
40 6.10 14.39 26.18 41.48 60.27 82.58
45 26.69 62.95 114.54 181.46 263.71 361.28
Indian Geotech J
123
dm/u was then expressed in terms of the angle a by the
following equation:
dm
u¼ a � eb tan a; ð18Þ
where a and b are the parameters, which depend on the
angle of shearing resistance (u) of sand (Table 4).
Moreover, the following expressions were deduced for a
and b:
a ¼ �0:36Lnðtan uÞ þ 0:06; ð19Þb ¼ 1:69 � tan u� 0:37: ð20Þ
The deduced values of Nc and Nq are given in Tables 3 and 4,
and in graphical form in Figs. 7 and 8, respectively. It can be
noted that the value of Nc is highly influenced by the angle of
shearing resistance u, notably for high values of a, while, the
influence is less visible for the ratio H2/B. However, the
factor Nq is not affected by the angle u notably for H2/B B 3,
while it is influenced by the ratio H2/B.
Comparisons between the theoretical values of the
present investigation and the data available in the literature
are presented in Tables 5 and 6, where good agreement can
be noted (Table 7).
0
5
10
15
20
25
30
35
40
45
1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6
Ratio H2 /B
Fac
tor
Nγ
φ = 20°φ = 25° φ = 30°φ = 35°φ = 40°φ = 45°
Fig. 7 Factor Nc versus the
ratio H2/B for different angle of
shearing resistance, u (angle of
inclination, a = 40�)
1.17
1.22
1.27
1.32
1.37
1.42
1.47
1.52
3 3.5 4 4.5 5 5.5 6
Ratio H2 /B
Fac
tor
Nq
α = 10°α = 20°α = 30°α = 40°α = 50°α = 60°
Fig. 8 Factor Nq versus the
ratio H2/B for different angle of
shearing resistance, a (angle of
inclination, u = 35�)
Indian Geotech J
123
Design Procedure
The following procedure is recommended to predict the
ultimate pullout load of single inclined shallow anchors in
sand:
(1) Given the height (H) and the base diameter or width
(B) of the anchor, calculate the embedment depth (H2)
and then the depth ratio H2
B: The anchor is considered
to be shallow if its embedment depth ratio C6.
(2) Knowing the inclination of the anchor (a) and the
angle of shearing resistance of the sand (u), estimate
the value of the average mobilized shearing resistance
on the failure planes (dm) using Eq. (19).
Table 5 Pullout capacity factor Nq
a (�) u (�) H/B
1 2 3 4 5 6
10 20 1.07 1.14 1.22 1.30 1.38 1.46
25 1.06 1.14 1.21 1.28 1.36 1.43
30 1.06 1.13 1.20 1.27 1.34 1.42
35 1.05 1.11 1.17 1.23 1.29 1.36
40 1.04 1.09 1.14 1.19 1.24 1.28
45 1.03 1.07 1.11 1.15 1.19 1.23
20 20 1.05 1.13 1.21 1.29 1.37 1.45
25 1.05 1.13 1.21 1.29 1.36 1.44
30 1.05 1.13 1.20 1.28 1.36 1.43
35 1.05 1.11 1.18 1.25 1.32 1.39
40 1.04 1.10 1.15 1.21 1.27 1.33
45 1.03 1.08 1.13 1.18 1.23 1.28
30 20 1.04 1.12 1.20 1.28 1.36 1.44
25 1.04 1.12 1.20 1.28 1.37 1.45
30 1.04 1.12 1.20 1.28 1.37 1.45
35 1.04 1.11 1.19 1.27 1.35 1.42
40 1.04 1.10 1.17 1.24 1.31 1.38
45 1.03 1.09 1.15 1.22 1.28 1.34
40 20 1.03 1.10 1.19 1.27 1.35 1.43
25 1.03 1.11 1.19 1.28 1.37 1.46
30 1.03 1.11 1.20 1.29 1.38 1.47
35 1.03 1.11 1.20 1.29 1.38 1.47
40 1.03 1.11 1.19 1.28 1.36 1.45
45 1.03 1.10 1.19 1.27 1.35 1.43
50 20 1.01 1.08 1.16 1.25 1.33 1.42
25 1.02 1.09 1.18 1.27 1.36 1.46
30 1.02 1.10 1.19 1.29 1.38 1.48
35 1.02 1.10 1.20 1.31 1.41 1.51
40 1.02 1.11 1.21 1.32 1.43 1.53
45 1.02 1.11 1.22 1.33 1.45 1.56
60 20 1.00 1.06 1.13 1.21 1.30 1.38
25 1.00 1.06 1.15 1.25 1.35 1.44
30 1.00 1.07 1.17 1.27 1.37 1.48
35 1.00 1.08 1.19 1.31 1.43 1.55
40 1.00 1.09 1.22 1.35 1.49 1.62
45 1.00 1.10 1.25 1.40 1.55 1.71
Indian Geotech J
123
Table 6 Comparison between
present experimental and
predicted results
Inclination
angle, a (�)
H2/B B (mm) Pullout capacity factor, Nq
Present experimental
results
Predicted
(proposed model)
0 2 152.5 1.23 1.34
30 2.86 3.02
45 3.22 3.55
60 4.46 4.89
0 3 152.5 1.68 1.87
30 3.51 3.88
45 4.09 4.56
60 6.37 6.79
0 4 152.5 2.08 2.67
30 4.31 4.86
45 5.26 5.91
60 8.14 8.88
0 3.25 101.5 1.81 2.05
30 3.74 4.13
45 4.42 4.87
60 6.98 7.43
0 4.75 101.5 2.87 3.32
30 5.12 5.74
45 6.13 6.87
60 9.04 9.67
0 6.25 101.5 3.73 4.16
30 7.86 8.34
45 10.11 10.77
60 18.56 19.24
Table 7 Comparison between predicted results and some experimental data reported in literature
References Inclination
angle, a (�)
H2/B Angle of shear
resistance, u (�)
Testing conditions
Measured Predicted* Test condition
Harvey and Burley [12]
(Circular plate anchor)
15
30
30
30
45
4.3
3.9
4.5
5.2
3.2
40 23
18.7
22.6
25.5
15.2
20.1
15.6
20.3
22.6
12.3
L
A
B
O
R
A
T
O
R
Y
Meyerhof [15]
(Circular plate anchor)
20
30
40
3
6
6
43 15.7
30.2
34.6
14.9
29.3
33.4
Tran-Vo-Nhiem and Biarez [19]
(Strip anchor)
50
70
3
3
26 5
7
5.8
7.8
Ghaly and Clemence [4]
(Screw anchor)
15
30
15
30
15
4
8
4
8
4
31
31
36
36
42
16.2
31.4
28.4
52.9
55.7
14.3
28.3
25.1
46.1
50.1
Indian Geotech J
123
(3) Calculate the value of b, in terms of a and dm, from
Eq. (16).
(4) Determine the values of Nc and Nq using Eqs. (14)
and (15) or from Tables 3 and 4, respectively.
(5) Knowing the unit weight of sand (c), estimate the
pullout capacity of the anchor (Qu) using Eq. (13).
(6) Determine the displacement at failure (Uf) using
Eq. (1).
Conclusions
Experimental and theoretical investigations on the ultimate
pullout load of shallow inclined strip anchors in sand were
conducted. Based on the results obtained, the following
conclusions were drawn:
(1) The relationship of pullout capacity (Pu) versus
displacement at failure (Uf) for shallow inclined
anchors installed at different soil/geometry/loading
conditions can be represented by a unique relationship.
(2) The displacement at failure (Uf) for shallow inclined
anchors installed in sand increases with the increasing
of the inclination of anchors.
(3) An empirical relationship was proposed between the
average mobilized angle of shear resistance along the
assumed failure planes (dm) and the angles of
inclination (a) and the peak of shear resistance (u).
(4) A reasonable agreement was noted between the results
produced by the predicted values and the present
experimental results and those available in the literature.
(5) Design procedure were presented for practical
purposes.
Acknowledgments The financial support from the Natural Science
and Engineering Research Council of Canada (NSERC) and Con-
cordia University are acknowledged.
References
1. Adams JI, Klym TW (1972) A study of anchorages for trans-
mission tower foundations. Can Geotech J 9:89–92
2. Caquot A, Kerisel L (1948) Tables de poussee et butee. Gauthier-
Villars, Paris
3. Frydman S, Shaham I (1989) Pullout capacity of slab anchors in
sand. Can Geotech J Ott Can 26(3):385–400
4. Ghaly AM, Clemence SP (1998) Pullout performance of inclined
helical screw anchors in sand. J Geotech Geoenviron Eng
124(7):617–627
5. Ghaly AM, Hanna AM (1992) Stresses and strains around helical
screw anchors in sand. J Soils Found JSSMFE 32(4):27–42
6. Ghaly AM, Hanna AM (1994) Ultimate pullout resistance of
single vertical anchors. Can Geotech J 31(5):661–672
7. Ghaly AM, Hanna AM, Hanna M (1991) Uplift behaviour of
screw anchors in sand. I: Dry sand. J Geotech Eng ASCE
117(5):773–793
8. Hanna AM (1981) Foundation on strong sand overlying weak
sand. J Geotech Eng Div ASCE 107(GT7):915–927
9. Hanna AM, Ghaly A (1994) Ultimate pullout resistance of groups
of vertical anchors. Can Geotech J 31(5):673–682
10. Hanna AM, Ranjan G (1992) Pullout-displacement of shallow
vertical anchor plates. Indian Geotech J 22(1):46
11. Hanna AM, Rahman F, Ayadat T (2011) Passive earth pressure
on embedded vertical plate anchor in sand. Int J Acta Geotec
6(1):21–29
12. Harvey RC, Burley E (1973) Behaviour of shallow inclined
anchorages in cohesionless sand. Ground Eng Lond Engl
6(5):48–55
13. Kananyan AS (1966) Experimental investigation of the stability
of bases of anchor foundations. Soil Mech Found Eng 6:387–392
14. Kulhawy FH (1985) Uplift Behavior of shallow soil anchors—an
overview. In: Proceedings, uplift behavior of anchor foundations
in soil. ASCE, Reston, pp 1–25
15. Meyerhof GG (1973) Uplift resistance of inclined anchors and
piles. In: Proceedings of the 8th international conference on soil
mechanics and foundation engineering, vol 2, issue 1,
pp 167–172.
16. Radhakrishna HS (1976) Helix anchor tests in sand In: Essa TS
(ed) Research report number 76-130-k. Ontario Hydro Research
Division, Toronto
17. Robinson KE, Taylor H (1969) Selection and performance of
anchors for guyed transmission towers. Can Geotech J Ott Can
6(2):119–137
Table 7 continued
References Inclination
angle, a (�)
H2/B Angle of shear
resistance, u (�)
Testing conditions
Measured Predicted* Test condition
Kananyan [13]
(Circular plate anchor)
10
20
2.5
2.5
7.1
12.3
6.3
10.8
F
I
E
L
D
32
Adams and Klym [1]
(Multi-helix anchor)
0
0
6
8
35
45
46
70
40
60
Trofimenkov and Mariupolskii [20]
(Screw anchor)
45
45
6
6
30
35
20
40
14.2
29.7
Radhakrishna [16]
(Screw anchor)
40
40
17.0
16.5
35
35
47
55
42.6
47.6
Robinson and Taylor [17]
(Screw anchor)
10 12.7 30 21 16.8
Indian Geotech J
123
18. Sutherland HB, Finlay TW, Fadl MO (1983) Uplift capacity of
embedded anchors in sand. Proc Int Conf Behav Offshore Struct
3:451–463
19. Tran-Vo-Nhiem, Biarez J (1971) Force maximale de soulevement
vertical des foundations d’ancrage en milieu pulverulent tri-
dimenionnel. In: Proceedings of the 4th Asian regional confer-
ence on soil mechanics, Bangkok (CRMS)
20. Trofimenkov JG, Mariupolskii LG (1965) Screw piles used for
mast and tower foundations. In: Proceedings of the 6th
international conference on soil mechanics and foundation engi-
neering, vol 2. Universite of Toronto Press, Toronto, pp 328–332
21. Wang MC, Wu AH (1980) Yielding load of anchors in sand. In:
Young RN, Selig ET (eds) Proceedings, application of plasticity
and generalized stress–strain in geotechnical engineering. ASCE,
Reston, VA, pp 291–307
Indian Geotech J
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