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Evaluation of Seismic Displacements of Quay Walls.



This paper is the summary of "Evaluation of Seismic Displacements of Quay QUAY, estates. A wharf at which to load or land goods, sometimes spelled key.
     2. In its enlarged sense the word quay, means the whole space between the first row of houses of a city, and the sea or river 5 L. R. 152, 215.
 Walls", which was printed in "Soil dynamics and earthquake engineering earthquake engineer
n.
A civil engineer specializing in earthquake-resistant design and construction and in the study of the effects of seismic activity on fabricated structures.
" Vol. 25, pp.451- 459.

A new simplified dynamic analysis method is proposed to predict the seismic sliding displacement of quay walls by considering the variation of wall thrust, which is influenced by the excess pore pore (por) a small opening or empty space.

alveolar pores  openings between adjacent pulmonary alveoli that permit passage of air from one to another.
 pressure developed in the backfill back·fill  
n.
Material used to refill an excavated area.

tr.v. back·filled, back·fill·ing, back·fills
To refill (an excavated area) with such material.
 during earthquakes. The method uses the Newmark sliding block concept and the variable yield acceleration, which varies according to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 the wall thrust, to calculate the quay wall displacement. A series of 1g shaking table tests was executed to verify the applicability of the proposed method, and a parametric study was performed. The shaking table tests verified that the proposed method properly predicts the wall displacement, and the parametric study showed that the evaluation of a realistic wall displacement is as important as the analysis of liquefaction liquefaction, change of a substance from the solid or the gaseous state to the liquid state. Since the different states of matter correspond to different amounts of energy of the molecules making up the substance, energy in the form of heat must either be supplied to  potential for judging the stability of quay walls.

INTRODUCTION

The simplified dynamic analyses based on the Newmark sliding block concept are widely used for preliminary designs of quay walls because they can easily evaluate the wall displacement by using basic design parameters such as the weight of the wall, the internal friction angle of the backfill, and the frictional coefficient at the bottom of the wall. Richard and Elms (1979) and Whitman and Liao (1985) proposed simplified dynamic analyses based on the Newmark sliding block concept to evaluate the seismic displacement of a quay wall. In their methods, yield acceleration is defined as the wall acceleration, when the factor of safety of the wall for sliding becomes 1.0, and the wall displacement is presumed to occur if the ground acceleration exceeds the yield acceleration. However, these analyses does not consider the variation of wall thrust due to the development of excess pore pressure in the backfill when they determine the yield acceleration; therefore, previous analyses are inappropriate for the design of quay walls with saturated backfill soils, where high excess pore pressure can develop during earthquakes.

Several researchers suggested degrading TO DEGRADE, DEGRADING. To, sink or lower a person in the estimation of the public.
     2. As a man's character is of great importance to him, and it is his interest to retain the good opinion of all mankind, when he is a witness, he cannot be compelled to disclose
 yield acceleration models, in which yield acceleration decreased as a function of shear deformation deformation /de·for·ma·tion/ (de?for-ma´shun)
1. in dysmorphology, a type of structural defect characterized by the abnormal form or position of a body part, caused by a nondisruptive mechanical force.

2.
 for geosynthetic cover analyses (Matasovic et al., 1998) or as a function of the magnitude of the excess pore pressure for saturated slope analyses (Giovanni et al., 2001). To account for this excess pore pressure in the calculation of wall sliding displacement, we propose a new simplified dynamic analysis method, which still utilizes the Newmark concept but varies the yield acceleration according to the varying wall thrust.

A parametric study is performed to analyze the effect of the input parameters of this new method on the seismic wall displacement, and the proposed method is verified by comparing the predicted displacements with the results of a series of shaking table tests.

DEVELOPMENT OF NEW DISPLACEMENT CALCULATION METHOD

Assumptions

The following assumptions were used in the proposed method.

(1) Quay walls always fail in a sliding mode. This assumption is valid only for dense foundation soils.

(2) Wall displacement occurs in a forward direction only. This should be a reasonable assumption for most cases since the wall can hardly move toward the backfill soils during shaking.

Newmark sliding block method

The Newmark sliding block method defines the yield acceleration as the amplitude amplitude (ăm`plĭtd'), in physics, maximum displacement from a zero value or rest position.  of the block acceleration when the factor of safety for sliding becomes 1.0, and evaluates the block displacement by double integration of the ground acceleration, which exceeds the yield acceleration. The integration method by Wilson and Keeper (1983) was used to calculate the block displacement by integration of the ground acceleration.

Determination of yield acceleration

The method proposed in this study evaluates the yield acceleration according to the varying wall thrust and therefore, this method is distinct from the previous ones. The wall thrust on a quay wall ([F.sub.TH]) is the resultant of diverse force components, as shown in Figure 1 (Kim et al., 2004): static water forces acting on the back and front of the wall, inertia inertia (ĭnûr`shə), in physics, the resistance of a body to any alteration in its state of motion, i.e., the resistance of a body at rest to being set in motion or of a body in motion to any change of speed or change in direction of  force of the wall ([F.sub.I]), dynamic water force on the front of the wall ([F.sub.FWD (Fast Wide Differential) Refers to a Fast Wide SCSI implementation that uses differential signaling. See SCSI. ]), static thrust on the back of the wall before shaking ([F.sub.ST]), and dynamic thrust on the back of the wall, which develops during shaking ([F.sub.DY]). In this research, we assumed that the water levels on both sides of the wall were the same, and thus, the static water forces acting on the both sides of the wall were not considered. The wall thrust [F.sub.TH] can be obtained by summing the various force components, as shown in Equation (1). The resisting force ([F.sub.g]) of the wall, which comes from the frictional force between the bottom of the wall and the foundation soil, can be calculated by Equation (2).

[FIGURE 1 OMITTED]

FTH FTH For the Horde (game, World of Warcraft)
FTH Fiber to the Home
FTH Ferritin Heavy (chain)
FTH File Transaction Hub
FTH Frame Time-Hopping
 = FI + FFWD FFWD Fast Forward  + FST See flat screen.  + FDY FDY Foundry
FDY Fully Drawn Yarn (textiles; aka FOY, Fully Oriented Yarn)
FDY Findlay, Ohio (Airport Code) 
 FR = cB*L + W*tan [phi]B

where, L = length of contact surface between bottom of wall and foundation, W = weight of wall per running unit length, [c.sub.B] = cohesive stress between bottom of wall and foundation, and [[phi].sub.B] = interface friction angle between bottom of wall and foundation

The wall displacement begins to occur when the wall thrust [F.sub.TH] exceeds the resisting force [F.sub.R] (Equation (3a)). The inertia force of the wall ([F.sub.I]) at this point can be obtained by multiplying the mass of the wall (M) by the yield acceleration of the wall ([a.sub.y]) (Equation (3b)). Finally, ay is obtained by Equation (3c). However, ay is also needed to calculate [F.sub.FWD] and [F.sub.DY] on the right side of Equation (3c). Therefore, the yield acceleration can only be determined by an iterative it·er·a·tive  
adj.
1. Characterized by or involving repetition, recurrence, reiteration, or repetitiousness.

2. Grammar Frequentative.

Noun 1.
 calculation.

[F.sub.TH] (= [F.sub.I] + [F.sub.FWD] + [F.sub.ST] + [F.sub.DY]) [greater than or equal to] [F.sub.R] (3a) [F.sub.I] = [F.sub.R]--([F.sub.FWD] + [F.sub.ST] + [F.sub.DY]) = M x [a.sub.y] (3b) [a.sub.y] = [F.sub.R]-([F.sub.FWD]+[F.sub.ST]+[F.sub.DY]) / M (3c)

where, M = mass of wall

Determination of force components acting on wall

The time histories of force components acting on walls have to be evaluated to determine the time history of the yield acceleration, as was shown in Equation (3). The evaluation methods of force component are summarized in Table 1, as suggested by Kim et al. (2004). Kim's method requires the time histories of the wall acceleration and the excess pore pressure ratio, ru in the backfill as input for the evaluation of the force components. The latter can be evaluated by either a simple empirical formula empirical formula: see formula.  like Equation (4) or a dynamic analyses or a laboratory test such as a shaking table test.

[MATHEMATICAL EXPRESSION A group of characters or symbols representing a quantity or an operation. See arithmetic expression.  NOT REPRODUCIBLE IN ASCII ASCII or American Standard Code for Information Interchange, a set of codes used to represent letters, numbers, a few symbols, and control characters. Originally designed for teletype operations, it has found wide application in computers. ] (4)

where, [N.sub.L] = number of loading cycles required to produce initial liquefaction corresponding to the cyclic stress Cyclic stress in engineering refers is an internal distribution of forces (a stress) that changes over time in a repetitive fashion. As an example, consider one of the large wheels used to drive an aerial lift such as a ski lift.  ratio, CSR (1) (Customer Service Representative) A person who handles a customer's request regarding a bill, account changes or service or merchandise ordered. Agents in call centers are known as CSRs. See call center.  (=cyclic stress required to initiate liquefaction / vertical effective stress in soil) and [theta Theta

A measure of the rate of decline in the value of an option due to the passage of time. Theta can also be referred to as the time decay on the value of an option. If everything is held constant, then the option will lose value as time moves closer to the maturity of the option.
] = constant representing soil properties and test condition (commonly, [theta]=0.7)

The CSR can be calculated by Equation (5) (Seed and Idriss, 1971).

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (5)

where, [[tau].cyc] = cyclic cyclic /cyc·lic/ (sik´lik) pertaining to or occurring in a cycle or cycles; applied to chemical compounds containing a ring of atoms in the nucleus.

cy·clic or cy·cli·cal
adj.
1.
 shear stress shear stress
n.
See shear.



shear stress

A form of stress that subjects an object to which force is applied to skew, tending to cause shear strain.
, [a.sub.max] = maximum amplitude of ground acceleration, [[sigma].sub.v], [[sigma].sub.v]' = total stress and effective stress in backfill, respectively, and [r.sub.d] = stress reduction factor

PARAMETRIC STUDY

Input parameters

A parametric study was performed to analyze the wall behavior under various combinations of input parameters, using the proposed method. Figure 2 shows an example quay wall, which was used for the parametric study. The backfill was made with sand, whose effective grain size was 0.10 mm. The coefficient of permeability permeability /per·me·a·bil·i·ty/ (per?me-ah-bil´i-te) the property or state of being permeable.

per·me·a·bil·i·ty
n.
1. The property or condition of being permeable.

2.
 was 1.0x[10.sup.-4] m/sec. Relative densities of the backfill ([D.sub.r]) were varied to be 40 %, 60 %, and 70%. The interface friction angles between the bottom of the wall and the foundation soil ([[phi].sub.B]) were varied to 25, 30, 35 and 40 degrees. Input acceleration was a 1 Hz sine wave A continuous, uniform wave with a constant frequency and amplitude. See wavelength.



A Sine Wave _title>
Sine wave 
. The number of loading cycles of the input acceleration was set to 10, which corresponds to the design earthquake magnitude of 6.5 in Korea. The amplitude of the input acceleration ([a.sub.max]) was varied to 0.072 g, 0.10 g, 0.12 g, 0.14 g, 0.15 g and 0.20 g. The 0.072 g was obtained by converting the amplitude of irregular earthquake wave of 0.11 g into the amplitude of regular sine wave. To obtain the excess pore pressure ratio, [r.sub.u] which is one of the input parameters, Equation (4) was used. Figure 3 shows the cyclic strength curves, which was obtained by the cyclic triaxial tri·ax·i·al  
adj.
Having three axes.



tri·axi·ali·ty n.
 tests for the backfill sands of various relative densities. The CSR (Cyclic Stress Ratio) at mid-depth of the backfill (depth=7.5 m) was calculated by Equation (5) by inputting 1.0 for [r.sub.d]. Figure 3 also shows how [N.sub.L] is obtained after CSR is calculated by Equation (5).

[FIGURE 2 OMITTED]

Figure 4 shows the time histories of the calculated excess pore pressure ratios, using Equation (5) and Figure 3, for various relative densities of backfill at [a.sub.max]=0.10 g. Liquefaction occurred for [D.sub.r]=40 % and [D.sub.r]=60 %, whereas, the liquefaction did not occur for [D.sub.r]=70%.

[FIGURES 3-4 OMITTED]

Results of parametric study

Figure 5 shows the time histories of the input acceleration and the yield acceleration at [a.sub.max]= 0.10 g. As cyclic loading continues, the yield acceleration decreases and finally becomes smaller than the input acceleration at 3.3 sec for [D.sub.r]=40 % and at 7.3 sec for [D.sub.r]=60 % after the backfill soil liquefies. If the effect of excess pore water pressure Pore water pressure refers to the pressure of groundwater held within a soil or rock, in gaps between particles (pores). For example, in a high permeability soil, the pressure would be close to hydrostatic in no flow conditions.  is not considered in the determination of the yield acceleration as is in the existing methods, the yield acceleration does not change from the initial value as is shown in the same figure for [D.sub.r]=40 % and [r.sub.u]=0. Thus, previous methods will predict zero wall displacement for the example quay wall, which is obviously an erroneous erroneous adj. 1) in error, wrong. 2) not according to established law, particularly in a legal decision or court ruling.  result.

[FIGURE 5 OMITTED]

Figure 6 shows the final displacement of the wall for various combinations of input parameters. Even if the backfill liquefied at [a.sub.max]= 0.072 g with [D.sub.r]=40 %, the final displacement of the wall was only 9.6 cm at [[phi].sub.B]=35 degrees and 0.7 cm at [[phi].sub.B]=40 degrees. On the other hand, the wall displacement of 59 cm occurred at [a.sub.max]= 0.12 g with [D.sub.r]=70 % and [[phi].sub.B]=25 degrees, where liquefaction did not occur in the backfill. In addition, the displacements calculated by the proposed model were very sensitive to the interface friction angle. Therefore, the frictional resistance between a wall and foundation must be properly evaluated.

[FIGURE 6 OMITTED]

VERIFICATION OF PROPOSED METHOD

Test set-up and procedure

The proposed method was verified by comparing the calculated wall displacements with the results of 1g shaking table tests. The dimension of the soil box was 194 cm long, 44 cm wide, and 60 cm high, and the model wall was 17.5 cm long, 42.0 cm wide, and 26.4 cm high. Figure 7 shows the test section and the instrumentation. The amplitude of the sinusoidal sinusoidal /si·nus·oi·dal/ (si?nu-soi´dal)
1. located in a sinusoid or affecting the circulation in the region of a sinusoid.

2. shaped like or pertaining to a sine wave.
 input motion at 5 Hz was increased linearly up to 0.2 g during the initial 5 sec, and the final amplitude was maintained for the next 5 sec.

[FIGURE 7 OMITTED]

The model soil was Joomoonjin sand, whose average particle size Particle size, also called grain size, refers to the diameter of individual grains of sediment, or the lithified particles in clastic rocks. The term may also be applied to other granular materials.  was 0.55 mm and uniformity coefficient was 1.37. The maximum and minimum dry unit weights of the sand were 16.7 kN/[m.sup.3] and 13.9 kN/[m.sup.3], respectively. The loose backfill of 20 % relative density was prepared by the water sedimentation sedimentation

In geology, the process of deposition of a solid material from a state of suspension or solution in a fluid (usually air or water). Broadly defined it also includes deposits from glacial ice and materials collected under the effect of gravity alone, as in talus
 method. The internal friction angle and the saturated unit weight of the backfill soil were about 30 degrees and 18.9 kN/[m.sup.3], respectively. The permeability coefficient of the backfill soil was measured to be 4.1x[10.sup.-4] m/sec by the constant head permeability test. A dense foundation layer was made by preshaking the foundation soil. The relative density and the internal friction angle of the foundation layer were about 90 % and 40 degrees, respectively. The interface friction angle between the foundation soil and the bottom of the wall was estimated by pulling tests. The interface friction angle increased with the wall movement velocity. The average value of the interface friction angle for the velocity range of the wall movement in the shaking table tests was about 28 degrees. The shaking table tests were performed for two walls of identical geometry but of different unit weights, 23.0 kN/[m.sup.3] and 25.7 kN/[m.sup.3]. In the latter, water was situated in the space where load cells were installed (Figure 7).

Comparison with results of shaking table tests

The time history of the horizontal seismic coefficient [k.sub.h] was obtained by non-dimensionalizing the time histories of the input acceleration. The average excess pore pressure, which is the average value of the excess pore pressures measured from the two water pressure transducers Pressure transducer

An instrument component which detects a fluid pressure and produces an electrical, mechanical, or pneumatic signal related to the pressure.
 (P2 and P3) installed on the back side of the wall, was used to obtain the time history of the excess pore pressure ratio in the backfill [r.sub.u]. The time histories of [k.sub.h] and [r.sub.u] measured during the tests were used to predict the displacements of the wall.

Figure 8 shows the time histories of the excess pore pressure ratio. Figure 9 shows the comparisons between the measured and the predicted displacements of the walls of two different unit weights. The measured wall displacement started to occur at around 4 sec which is the time when the excess pore pressure ratio increased rapidly and reached almost its maximum value (Figure 8). The final differences of the horizontal displacements at the top and the bottom of the wall were about 0.4 cm (0.9 degrees to vertical) for the wall of unit weight of 25.7 kN/[m.sup.3] and 1.0 cm (2 degrees to vertical) for the wall of unit weight of 23.0 kN/[m.sup.3], which are small compared with the final horizontal displacements of 5.5 cm and 8.3 cm, respectively. Therefore, this observation satisfies the assumption of the proposed model in that only the sliding failure of walls occurs. The calculated final displacements of the walls compared very well with the measured values : 5.2 cm for the wall of unit weight of 25.7 kN/[m.sup.3] and 7.6 cm for the wall of unit weight of 23.0 kN/[m.sup.3].

[FIGURE 8 OMITTED]

Thus, it is believed that the proposed method predicted the quay wall behavior properly in terms of its cumulative displacement with time.

(a) wall with unit weight of 25.7 kN/[m.sup.3] (b) wall with unit weight of 23.0 kN/[m.sup.3]

Figure 9. Comparisons between measured and predicted wall displacements

[FIGURE 9 OMITTED]

CONCLUSIONS

The conclusions of this study are as follows.

1. A new displacement calculation method was proposed which considers the effect of the excess pore pressure developed in backfill. This method basically uses the Newmark sliding block concept but varies the yield acceleration according to the varying wall thrust.

2. The parametric study showed that the evaluation of realistic wall displacements under earthquakes is as important as the analysis of liquefaction potential for judging the stability of quay walls.

3. It was verified from a series of 1g shaking table tests that the proposed method properly predicts the wall displacement.

ACKNOWLEDGEMENT

The financial support from the Ministry of Maritime Affairs and Fisheries The Ministry of Maritime Affairs and Fisheries, or MOMAF, is a cabinet-level division of the government of South Korea. It oversees a variety of government offices, including the marine police.  (MOMAF MOMAF Ministry of Maritime Affairs and Fisheries (Korea) ) in support of this work is gratefully acknowledged.

REFERENCES

Giovanni B, Ernesto C, Michele M. Seismic response of submerged cohesionless co·he·sion·less  
adj.
Composed of particles that do not cohere. Used of soil.
 slopes. In: Proceedings of the 4th International Conference on Recent Advances in Geotechnical Earthquake Engineering, San Diego, California “San Diego” redirects here. For other uses, see San Diego (disambiguation).
San Diego is a coastal Southern California city located in the southwestern corner of the continental United States. As of 2006, the city has a population of 1,256,951.
, 2001, Paper No. 7.07.

Matasovic N, Kavazanjian E Jr, Giroud JP. Newmark seismic deformation analysis for geosynthetic interfaces. Geosynthetics International 1998, Special Issue on Geosynthetics in Earthquake Engineering; 5(1-2):237-264.

Kim SR, Kwon OS, and Kim MM. Evaluation of force components acting on gravity type quay walls during earthquakes. Soil Dynamics and Earthquake Engineering 2004; 24(11):853-866.

Richards R, Elms D. Seismic behavior of gravity retaining walls. Journal of the Geotechnical Engineering Geotechnical engineering is the branch of civil engineering concerned with the engineering behavior of earth materials. Geotechnical engineering includes investigating existing subsurface conditions and materials; assessing risks posed by site conditions; designing earthworks and  Division 1979;105(4):449-464.

Whitman RV, Liao S. Seismic design of retaining walls. Miscellaneous Paper GL-85-1, U.S.Army Engineer Waterways The list of waterways is a link page for any river, canal, estuary or firth.
International waterways
  • Danish straits
  • Great Belt
  • Oresund
  • Bosporus
  • Dardanelles
 Experiment Station, Vicksburg, Mississippi Vicksburg is a city in Warren County, Mississippi. It is located 234 miles (377 km) north by west of New Orleans on the Mississippi and Yazoo rivers, and 40 miles (65 km) due west of Jackson, the state capital. . 1985.

Wilson RC, Keefer DK. Dynamic analysis of a slope failure from the 6 August 1979 Coyote Lake, California, earthquake. Bulletin of the Seismological seis·mol·o·gy  
n.
The geophysical science of earthquakes and the mechanical properties of the earth.



seis
 Society of America 1983;73(3):863-877.

SUNGRYUL KIM

Dept. of Civil Engineering, DongA Donga may refer to:
  • In geography:
  • Donga, Angola
  • Donga, Nigeria town in Taraba State of Nigeria, inhabited principally by the Chamba Tribe; the traditional head is the "Gara Donga
 University, #840 Hadan 2-dong, Saha-gu, Busan, Korea

INSUNG JANG JANG Just A Nice Guy
JANG Just Ain't No Good
 

Korea Ocean Research and Development Institute, Sa2-dong, Sanglok-gu, Ansan-si, Kyoungi-do, Korea

CHOONGKI CHUNG

School of Civil, Urban and Geosystem Engineering, Seoul National University Not to be confused with the University of Seoul.
Seoul National University (SNU) is a national research university in Seoul, South Korea. Founded in 1946, SNU was the first national university in South Korea, and served as a model for the many national and public
, San 56-1, Shinlim-dong, Gwanak-gu, Seoul, Korea

MYOUNGMO KIM

School of Civil, Urban and Geosystem Engineering, Seoul National University, San 56-1, Shinlim-dong, Gwanak-gu, Seoul, Korea
Table 1. Evaluation of force components acting on quay walls
(Kim et al., 2004)

Force component               Evaluation method

Inertia force of wall         mass of wall x time history of input
  ([F.sub.1])                   acceleration
Dynamic water force acting
  on front side of wall
  ([F.sub.FWD]                Westergaard equation
Static thrust ([F.sub.ST])    Coulomb method

Dynamic         Fluctuating   [F.sub.D] = [F.sub.DI] x (1-[r.sub.u] +
thrust          component       [F.sub.DF] x [r.sub.u]
([F.sub.DY] =   ([F.sub.D]    [F.sub.DI] = [F.sub.WD] + [F.sub.ED] -
[F.sub.D] +                     ([F.sub.I] + [F.sub.FWD])
[F.sub.\s]                    [F.sub.DF] = 7 / 12 [k.sub.h] [gamma]
                                [sub.sat][H.sup.2]

                              where, [F.sub.DI]: fluctuating component
                              of dynamic thrust without excess pore
                              pressure

                              [F.sub.DF]: fluctuating component of
                              dynamic thrust after liquefaction

                              [F.sub.ED]: fluctuating component of
                              dynamic earth force

                              acting on back side of wall

                              [F.sub.WD]: fluctuating component of
                              dynamic water force acting on back side
                              of wall

                              [r.sub.u]: excess pore pressure ration in
                              the backfill

                              H: wall height

                              [k.sub.h]: horizontal seismic coefficient

                              [[gamma].sub.sat]:the saturated unit
                              weight of soil

                Non-          [F.sub.S] = -1 / 2 [[gamma].sub.sub]
                fluctuating   [K.sub.AS] [H.sup.2] [r.sub.u] +
                component     1 / 2 [[gamma].sub.sub] [H.sup.2]
                ([F.sub.S])   [r.sub.u]

                              Where, [[gamma].sub.sub]: submerged unit
                              weight of backfill soil

                              [K.sub.AS]: static active earth pressure
                              coefficient calculated by Coulomb method
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Author:Kim, Sungryul; Jang, Insung; Chung, Choongki; Kim, Myoungmo
Publication:Geotechnical Engineering for Disaster Mitigation and Rehabilitation
Article Type:Conference news
Geographic Code:9SOUT
Date:Jan 1, 2005
Words:3168
Previous Article:Natural disaster management in the Republic of Korea.
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