A Statistical Method for Predicting the Axial Load Capacity of

International Journal of Civil & Environmental Engineering IJCEE-IJENS Vol: 11 No: 02 20

111702-3737 IJCEE-IJENS © April 2011 IJENS I J E N S

Abstract— Concrete filled steel tubular (CFST) structures

have been used widely in high-rise buildings and bridges due to the

efficiency of structurally favorable interaction between the steel

tube and the concrete core. In this research, a simplified statistical

method based on the results of 663 tests is developed to predict the

ultimate strength of circular CFST columns under concentric

loading conditions. This method considers the confinement effect

on the concrete and the influence of relative slenderness. The

standard deviation of the predictions by the current method is very

close to those predicted by the Eurocode 4 and the Chinese CECS

methods. Therefore this simplified method is a good alternative to

other prediction methods. However, the Chinese CECS method

tends to overestimate the ultimate load capacity when the

compressive strength of concrete is high.

Index Term— Concrete Filled Steel Tubular Column;

Confinement Effect; Slenderness Influence; Statistical Method;

Ultimate Load Capacity

X.M. Yu is with the School of Civil and Environmental Engineering, Harbin

Institute of Technology (Shenzhen), University Town in Xili, Shenzhen

518055, China (Corresponding Author, phone: 0086 159 8958 9733; fax: 0086

755 2603 3509; e-mail: [email protected])

B.C. Chen is with the College of Civil Engineering, Fuzhou University,

Fuzhou 350108, China (e-mail: [email protected]).

Nomenclature

Aa Area of the steel section

Ac Area of the concrete section

D Outer diameter of CFST column

Ea Young’s modulus of steel

Ecm Secant modulus of concrete

fa Yield strength of steel

fc Characteristic cylinder compressive strength

of concrete

l Length of CFST column

el Effective length of CFST column

N0 Design strength of short CFST column,

)1(0 cc AfN

Ncr Euler buckling strength of CFST column,

22 /)( lEIN ecr

Npl,R Plastic sectional resistance of CFST column,

ccaaRpl AfAfN ,

Nu Ultimate load capacity of CFST column

t Thickness of steel tube wall

22.021.015.0

e Eccentric loading reduction factor

l Slenderness effect reduction factor

Confinement factor, ccaa AfAf /

Column buckling reduction factor

Relative slenderness, crRpl NN /,

Factor used in the current statistical method,

see Eq.(12)

1 and 2 Factors considering confinement effect in

circular CFST columns

A Statistical Method for Predicting the Axial

Load Capacity of Concrete Filled Steel Tubular

Columns X.M. Yu, and B.C. Chen



I. INTRODUCTION

THE concrete filled steel tubular (CFST, and hereafter)

columns have been used widely in high-rise buildings and

bridges in recent years, such as the 56-storey (150m high) Two

Union Square in Seattle, Washington, the 43-storey (166m

high) Casselden Place in Melbourne, Australia and the

79-storey (355.8m high) SEG Plaza in Shenzhen, China. A

research by Chen et al. [1] shows that more than 200 CFST

arch-bridges had been built in China since 1990. More and more

CFST high-rise buildings will be built and become city

landmarks.

The commonly used cross section of CFST can be circular or

rectangular (mainly square). The concrete strength is improved

in tri-axial stressing state due to lateral confinement provided

the steel tube. Also the existence of concrete core prevents or

delays the steel tube from local buckling (i.e., deformation

towards core direction). The steel is located farthest to the

centroid of the CFST column so that maximum moment of

inertia can be achieved. Further more, the steel tube acts as a

permanent framework for concreting during the construction.

Consequently, the building can be ascended more quickly

compared to reinforced concrete structure since the steelwork

can precede the concrete by several stories [2]. Compared with

reinforced concrete (RC, and hereafter) bridges and steel

arch-bridges, CFST arch-bridge presents a more artistic

appearance and improved seismic resistance due to less

self-weight. Advance in erection and closure technologies in

bridge construction further accelerates the implementation of

CFST members.

The performance of CFST columns is affected by the

slenderness ratio. Many authors agree that L/D=15 generally

marks a rough boundary between short and long column

behavior [2]. According to JSCE [3], if L/D exceeds 35, the

influence of lateral displacement should be considered for the

composite column. The confinement effect is significant in short

columns but negligible in short ones due to overall buckling.

The influence of diameter to thickness ratio (D/t) was also

heavily studied [4]-[6]. In short, both geometrical parameters

and material characteristics should be considered when

calculating the axial strength of CFST columns.

A lot of design methods have been proposed based on

different consideration of the slenderness influence and the

confinement effect on the ultimate load capacity (UL, and

hereafter) of CFST columns. A comparison by Giakoumelis et

al. [7] showed that the EC4 [8] provided a better prediction than

the ACI [9] and the AS [10] codes. Comparative studies carried

out by Muhammad et al. [11] and Ma et al. [12] showed that the

LRFD [13] and ACI were too conservative and the Chinese

CECS Code [14] gave good predictions in terms of both mean

value and standard deviation; the EC4 gave the “best” [12]

prediction. The discrepancy largely comes from the limit

number of test data available.

With more and more experiments be done, it is now possible

to find out statistically the relationship between the UL and the

columns configurations. Therefore the aim of this research is to

develop a simplified prediction method based on a large number

of test data available.

II. DEVELOPMENT OF A SIMPLIFIED STATISTICAL

METHOD FOR PREDICTING THE AXIAL LOAD

CAPACITY OF CIRCULAR CFST COLUMNS

A. The Definition of the UL

Researchers have different interpretation of the UL of a

CFST column. Cai [15] used the maximum load capacity

attained as the UL. Han [16] and Li et al.[17] defined the UL as

the load when a certain axial strain limit is reached. Miao [18]

defined the UL as the load when a cut through crack is formed,

which is difficult to measure. In this research, the UL is defined

as the maximum load attained.

B. The Selection of Parameters

As reviewed above, there are lots of UL predictions methods

available. These methods consider the geometrical and material

configuration of the CFST columns in different ways. Only the

EC4 method and the Chinese CECS method are briefly

discussed here.

CECS code specification

In the CECS code, the basic requirements for the CFST

structural members are: a) mmD 100 ; b) mmt 14 ; c)

3/3.0 ccaa AfAf ; d) D/t should be in the range

of af/23585~15 , which depends on the type of steel

used; e) Dl / should not exceed a permissible limit, which is

20 for CFST columns.

The UL of CFST columns is calculated by

0NN elu (1)

where 0N is the UL of short CFST columns,

aaccaacc

cc

AfAfAfAf

AfN

)1(0 (2)

The e and l are reduction factors consider the eccentric

loading effect and slenderness influence, respectively. For

concentric loading, 1e , and

4/for 1

4/for 4/115.01

Dl

DlDl

el

eel

(4)

where el is the effective length of the column, which is

determined by the supporting conditions.

EC 4 specification

In the EC4, the UL of concentrically loaded circular CFST

columns is calculated by



cc

c

a

aau fAf

f

D

tfAN 12 1 (5)

where 1 and 2 are factors considering confinement effect,

determined by the relative slenderness, .

2325.0

175.189.4

2

2

1 (6)

5.0/, crRpl NN ; (7)

where RplN , is the plastic strength of the composite column

calculated by

ccaaRpl AfAfN , (8)

and the Ncr is defined as the Euler buckling strength of the

composite column.

2

2 )(

l

EIN e

cr

(9)

where cmcaae EAEAEI 6.0 with Ecm be the secant

modulus of concrete.

The buckling strength reduction factor is used to reduce

the plastic compressive resistance of the cross section of slender

columns.

1

1

22

(10)

where

22.021.015.0 (11)

The parameters used in this research

It can be seen from above that both the EC4 and the CECS

consider the confinement effect and the strength reduction by

slenderness. The CECS considers the confinement effect

equally on the steel tube and the concrete core

by aacc AfAf , which can be reflected by the steel and

concrete capacity ratio, . However, in the EC4, the

confinement effect caused axial strength reduction on the steel

tube by 2 and strength gain on the concrete core by

ca ffDt //1 . The 1 and 2 are determined by the

relative slenderness, , instead of . The confinement effect

does reduce with length of column due to lateral buckling, but it

is unclear why is not included in the EC4 method. The

buckling resistance is taken into account in the CECS by

arbitrarily restricting the ratio of l/D; while in the EC4, the

buckling reduction factor is derived analytically from the stress

at an admissible deflection at mid-height [19], which seems

more reasonable.

Despite of the different concepts behind the CECS and the

EC4 methods, both methods cab be used to obtain reasonable

prediction of the UL of CFST columns. Therefore, in this study,

the used in the CECS and the used in the EC4 are chosen

as governing parameters to predict the UL of CFST columns. It

is assumed that the confinement strengthening effect and

slenderness influence can be attributed to a single factor, ,

acting on the concrete core alone. The is assumed to be a

second order function of and , which is derived

statistically from a large number of test results.

C. Development Of the Simplified Statistical Method for The

UL Prediction

In order to develop a simplified method for predicting the UL

of the circular CFST columns subject to concentric loading, a

total of 663 test data (listed in Table I) extracted from [20] are

adopted. The selected data are those axially loaded circular

specimens categorized with “no moment” unless otherwise

specified. The following two steps are applied to obtain a

simplified expression.

Step 1. Calculating the relative slenderness, . If 1 ,

then the buckling load is taken as the ultimate load capacity of

the column, that is, cru NN ; otherwise, go on to Step 2.

Step 2. Assuming the confinement and the slenderness effects

can be attributed to a single coefficient, , acting on the

concrete only, that is,

ccaau fAfAN (12)

The parameter can be interpreted as a factor transforming

equivalently the confinement and slenderness effects into

concrete. To make the expression simple, only the second order

expression of is assumed as given in Eq. (13). The term

3a in the equation considers the coupled effect of the two

parameters.

5543

2

2

2

1 aaaaaa (13)

From the specimen specifications and test results of the 663

tests, a series of ' can be calculated. Then, with the

' obtained, the coefficients 51 ~ aa in Eq. (13) can be

evaluated using the second order curve fitting function,

polyfit(), in the MATLAB. Finally the can be approximately

calculated by

5081.18880.25872.0

5211.00665.20260.0 22

(14)

The UL predictions of all the 663 tests by this model as well

as the EC4 and the CECS methods are listed in Table I. The

predictions by all the methods agree well with the test data. The



standard error deviations by using the current method, the EC4

method and the CECS method are 0.1386, 0.1306 and 0.1846,

respectively. The predictions by the current method and the EC4

method are close to each other. The error predicted by the CECS

seems a bit greater, however, this is because of the CECS

method is only applicable to those with MPafc 80,30

[21]. The CECS tends to overestimate the UL for high strength

concrete columns. The comparison shows that the current

method is a good alternative to the other methods.

Apart from the 663 tests, to evaluate the accuracy of the

prediction using the current method, the UL of three CFST

columns tested by Huang et al. [22] (see Table II) are also

calculated using the current method. The comparison listed in

Table II shows the current method gives very good prediction of

the UL of the CFST columns tested.

III. CONCLUSION

In this research a simplified statistical method is developed to

predict the ultimate load capacity of circular CFST columns

subject to concentric loading. The statistically based method

assumes a single correction factor acting on the concrete core

alone to account for the coupled effect of confinement effect

and slenderness influence on the ultimate load capacity of

circular CFST columns. This is done by second order curve

fitting of two parameters, the steel/concrete capacity ratio, ,

used in the CECS and the relative slenderness, , used in the

EC4, based on 663 test results. It is shown that the predictions

by this method agree well with the test results and those

predicted by the EC4 and the CECS methods. Therefore, the

current method provides an alternative way to evaluate the

ultimate strength of circular CFST columns in structural design.

REFERENCES

[1] B.C. Chen and T.L. Wang, "Overview of Concrete Filled Steel Tube Arch

Bridges in China", DOI: 10.1061 / (ASCE) 1084-0680, (2009) 14:2 (70).

[2] NSEL Report: "A Synopsis of Studies of the Monotonic and Cyclic

Behaviour of Concrete-Filled Steel Tube Members, Connections, and

Frames", Report No. NSEL-008, 2008.

[3] Hybrid Structure Series 02: "Guidelines for performance verification of

steel-concrete hybrid structures", Committee on Hybrid Structures,

JSCE, 2006.

[4] M.D. O’Shea and R.Q. Bridge, “Design of circular thin-walled concrete

filled steel tubes”, Journal of Structural Engineering, ASCE, vol. 126,

no. 11, pp. 1295-1303 , 2000.

[5] P.K. Gupta, S.M. Sarda and M.S. Kumar, “Experimental and

computational study of concrete filled steel tubular columns under axial

loads”, Journal of Constructional Steel Research, vol. 63, no. 2, pp.

182-193, 2007.

[6] V.C. Manojkumar, C.N. Mattur and S.M. Kulkarni, “Axial strength of

circular concrete-filled steel tube columns – DOE approach”, Journal of

Construction Steel Research, vol. 66, pp1248-1260, 2010.

[7] G. Giakoumelis and D. Lam, “Axial capacity of circular concrete-filled

tube columns”, Journal of Constructional Steel Research, vol. 60, no. 7,

pp. 1049-1068, 2004.

[8] Eurocode 4: Design of composite steel and concrete structures, Part 1.1:

General rules and rules for buildings. Brussels: Commission of

European Communities; 2004.

[9] American Concrete Institute (ACI): Building code requirements for

structural concrete and commentary. ACI 318-99/R-99. Farmington

Hills, 1999.

[10] Australia Standards AS4100 Steel structures. Sydney: Standards

Australia; 1998.

[11] N.B. Muhammad, J. Fan and J. Nie, “Strength of concrete filled steel

tubular columns”, Tshinghua Science and Technology, vol. 11, no. 6, pp.

657-666, 2006.

[12] X.B. Ma, S. Zhang and C.D. Goode, “Comparison of design methods for

circular concrete filled steel tube beam columns in different codes”, in

Proceeding of 8th International Conference for ASCCS, 2006.

[13] American Institute of Steel Construction (AISC), “Manual for structural

steel buildings: Load and Resistance Factor Design (LRFD)”, Chicago,

2005.

[14] CECS 28:90, “Specification for design and construction of

concrete-filled steel tubular structures”, China Planning Press, 1992. (in

Chinese)

[15] S. H. Cai, Modern Steel Tube Confined Concrete Structures, China

Communication Press,, 2003. (in Chinese)

[16] L.H. Han, Modern Concrete Filled Steel Tubular Structures, Beijing

Science and Technology Press, Beijing, 2000. (in Chinese)

[17] J.D. Li and W.X. Duan, “Experimental Research on Strength of CFST

Columns under Axial Compression”, in Proceedings of the International

Specialty Conference on Concrete Filled Steel Tubular Structures,

Harbin China, 1985.

[18] R.Y. Miao, “The deformation mechanism and the ultimate load of

concrete filled steel tubes ”, Journal of Harbin University of Civil

Engineering and Architecture, vol. 2, pp. 13-24, 1984.

[19] J.Y.R. Liew and D.X. Xiong, "Effect of preload on the axial capacity of

concrete-filled composite columns", Journal of Constructional Steel

Research, vol. 65, 2009, pp. 709–722, 2009.

[20] C.D. Goode, ASCCS Database of Concrete-Filled Steel Tube Columns:

Available: http://web.ukonline.co.uk/asccs2/

[21] Kuranovas, A., Goode, D., Kvedaras, A.K. and Zhong, S.T.,

"Load-bearing capacity of concrete-filled steel columns", Journal of Civil

Engineering and Management, vol. 15 (1), pp21-33, 2009.

[22] F.Y. Huang, “Research On Ultimate Load-Carrying Capacity Of

Concrete-Filled Steel Tubular Solid Arch Rib With Initial Stress”, PhD

thesis, School of Civil Engineering, Fuzhou University, China, 2008. (in

Chinese)

http://web.ukonline.co.uk/asccs2/



TABLE I

UL PREDICTION BY THE EC4 AND THE CURRENT STATISTICAL METHODS

(Nt=test data; Nc=UL calculated using current method; Nec4=UL calculated using the EC4 method; Nce=UL calculated using the CECS method)

=============================================================================================================================

No. L(mm) D(mm) t(mm) fa(MPa) fc(MPA) Ea(GPa) Ec(GPa) Nt(KN) Nc(KN) Nc/Nt-1 Nec4 Nec4/Nt-1 Nce Nce/Nt-1

----------------------------------------------------------------------------------------------------------------------------

1 305.00 168.80 2.64 302.40 18.20 200 29 1326 1138 -0.142 1076 -0.188 1197 -0.097

2 305.00 168.80 2.64 302.40 34.70 200 34 1219 1576 0.293 1407 0.154 1696 0.391

3 305.00 169.30 2.62 338.10 37.10 200 35 1308 1713 0.310 1535 0.174 1850 0.415

4 305.00 169.30 2.62 338.10 34.10 200 34 1330 1635 0.229 1474 0.109 1762 0.325

5 305.00 168.30 3.60 288.40 27.00 200 32 1557 1537 -0.013 1429 -0.082 1630 0.047

6 305.00 168.30 3.60 288.40 33.30 200 34 1432 1700 0.187 1551 0.083 1819 0.270

7 305.00 168.30 3.60 288.40 33.30 200 34 1463 1700 0.162 1551 0.060 1819 0.243

8 305.00 168.80 5.00 200.20 33.40 200 34 1966 1661 -0.155 1501 -0.237 1759 -0.105

9 305.00 168.80 5.00 200.20 33.40 200 34 1970 1661 -0.157 1501 -0.238 1759 -0.107

10 305.00 168.80 5.00 200.20 27.90 200 32 1984 1520 -0.234 1396 -0.296 1600 -0.193

11 305.00 168.80 5.00 200.20 27.90 200 32 1984 1520 -0.234 1396 -0.296 1600 -0.193

12 229.00 114.30 3.50 350.00 33.40 200 34 969 1025 0.058 971 0.002 1087 0.122

13 229.00 114.30 4.50 339.00 33.40 200 34 1069 1157 0.083 1107 0.036 1208 0.130

14 360.00 178.00 9.00 283.00 22.20 200 31 2120 2564 0.210 2541 0.199 2574 0.214

15 360.00 178.00 9.00 283.00 22.20 200 31 2060 2564 0.245 2541 0.234 2574 0.250

16 360.00 178.00 9.00 283.00 45.40 200 36 2720 3199 0.176 2976 0.094 3374 0.241

17 360.00 178.00 9.00 283.00 45.40 200 36 2730 3199 0.172 2976 0.090 3374 0.236

18 360.00 179.00 5.50 249.00 22.10 200 31 1410 1765 0.252 1691 0.200 1840 0.305

19 360.00 179.00 5.50 249.00 23.90 200 31 1560 1818 0.165 1729 0.108 1904 0.221

20 360.00 179.00 5.50 249.00 43.70 200 36 2080 2373 0.141 2144 0.031 2564 0.233

21 360.00 179.00 5.50 249.00 43.70 200 36 2070 2373 0.146 2144 0.036 2564 0.239

22 360.00 174.00 3.00 266.00 23.90 200 31 1220 1335 0.094 1225 0.004 1434 0.176

23 360.00 174.00 3.00 266.00 23.90 200 31 1220 1335 0.094 1225 0.004 1434 0.176

24 360.00 174.00 3.00 266.00 45.70 200 36 1640 1918 0.169 1687 0.029 2100 0.280

25 360.00 174.00 3.00 266.00 45.70 200 36 1710 1918 0.122 1687 -0.013 2100 0.228

26 477.00 159.00 5.07 381.50 41.50 200 36 2230 2211 -0.008 2049 -0.081 2478 0.111

27 1890.00 630.00 7.00 291.40 36.00 200 34 16650 18317 0.100 16563 -0.005 21255 0.277

28 1890.00 630.00 7.61 349.50 35.00 200 34 18000 19682 0.093 17955 -0.002 22929 0.274

29 1890.00 630.00 8.44 350.00 34.50 200 34 18600 20331 0.093 18588 -0.001 23607 0.269

30 1890.00 630.00 10.21 323.30 38.40 200 35 20500 22492 0.097 20535 0.002 26108 0.274

31 1890.00 630.00 11.60 347.20 46.00 200 37 24400 26745 0.096 24475 0.003 31314 0.283

32 2160.00 720.00 8.30 312.00 15.00 200 28 15000 15751 0.050 14739 -0.017 17419 0.161

33 2460.00 820.00 8.93 331.00 45.00 200 36 33600 36738 0.093 33488 -0.003 43337 0.290

34 3060.00 1020.00 9.64 336.00 16.90 200 29 30000 31399 0.047 29003 -0.033 35246 0.175

35 3060.00 1020.00 13.25 368.70 28.90 200 33 46000 49077 0.067 45116 -0.019 56432 0.227

36 264.00 131.80 2.38 235.00 17.40 200 29 535 636 0.188 596 0.115 672 0.255

37 264.00 134.30 3.12 235.00 26.60 200 32 681 907 0.331 834 0.224 966 0.419



38 264.00 130.60 4.30 235.00 26.60 200 32 725 1012 0.396 952 0.314 1064 0.468

39 264.00 132.50 5.25 235.00 26.60 200 32 872 1150 0.318 1094 0.255 1195 0.371

40 264.00 134.10 6.20 235.00 26.60 200 32 1006 1284 0.276 1231 0.224 1320 0.312

41 200.00 101.80 2.94 320.00 18.00 200 29 628 604 -0.038 600 -0.045 617 -0.018

42 200.00 101.80 2.94 320.00 37.40 200 35 660 787 0.192 731 0.108 843 0.277

43 200.00 101.80 5.70 305.00 18.00 200 29 954 900 -0.056 923 -0.032 886 -0.071

44 200.00 101.80 5.70 305.00 37.40 200 35 971 1089 0.122 1039 0.070 1119 0.153

45 200.00 100.00 0.52 244.00 18.00 200 29 239 241 0.007 205 -0.144 252 0.055

46 200.00 100.00 0.52 244.00 37.40 200 35 396 419 0.057 351 -0.114 434 0.096

47 270.00 86.49 2.73 226.70 30.20 200 33 412 430 0.044 396 -0.038 478 0.160

48 270.00 89.27 4.00 226.70 30.20 200 33 491 551 0.123 513 0.044 594 0.210

49 270.00 86.54 2.79 226.70 48.00 200 37 489 537 0.099 487 -0.005 616 0.260

50 270.00 89.19 4.05 226.70 48.00 200 37 605 661 0.093 600 -0.007 740 0.223

51 660.80 165.20 4.17 358.70 40.90 200 35 1594 1934 0.213 1787 0.121 2319 0.455

52 266.00 76.00 2.20 390.00 57.00 200 39 470 537 0.143 495 0.053 642 0.365

53 266.00 76.00 2.20 390.00 57.00 200 39 480 537 0.119 495 0.031 642 0.337

54 266.00 76.00 2.20 390.00 57.00 200 39 420 537 0.279 495 0.178 642 0.528

55 266.00 76.00 2.20 390.00 57.00 200 39 465 537 0.155 495 0.064 642 0.380

56 356.00 101.70 2.40 380.00 57.00 200 39 770 865 0.123 800 0.039 1050 0.364

57 356.00 101.70 2.40 380.00 57.00 200 39 775 865 0.116 800 0.033 1050 0.355

58 356.00 101.70 2.40 380.00 57.00 200 39 740 865 0.169 800 0.082 1050 0.419

59 356.00 101.70 2.40 380.00 57.00 200 39 690 865 0.253 800 0.160 1050 0.522

60 356.00 101.70 2.40 380.00 57.00 200 39 775 865 0.116 800 0.033 1050 0.355

61 580.50 165.00 2.82 363.30 48.30 200 37 1662 1798 0.082 1669 0.005 2193 0.320

62 663.50 190.00 1.94 256.40 41.00 200 35 1678 1647 -0.018 1523 -0.093 1981 0.180

63 664.50 190.00 1.52 306.10 48.30 200 37 1695 1797 0.061 1697 0.001 2205 0.301

64 664.50 190.00 1.13 185.70 41.00 200 35 1377 1401 0.018 1306 -0.051 1635 0.187

65 659.00 190.00 0.86 210.70 41.00 200 35 1350 1373 0.017 1289 -0.045 1599 0.185

66 580.50 165.00 2.82 363.30 80.20 200 42 2295 2376 0.035 2269 -0.011 3034 0.322

67 663.50 190.00 1.94 256.40 74.70 200 42 2592 2472 -0.046 2409 -0.071 3097 0.195

68 663.50 190.00 1.52 306.10 80.20 200 42 2602 2553 -0.019 2539 -0.024 3254 0.251

69 662.50 190.00 1.13 185.70 80.20 200 42 2295 2339 0.019 2366 0.031 2869 0.250

70 663.50 190.00 0.86 210.70 74.70 200 42 2451 2175 -0.113 2204 -0.101 2659 0.085

71 577.50 165.00 2.82 363.30 108.00 200 46 2673 2845 0.064 2788 0.043 3735 0.397

72 660.00 190.00 1.94 256.40 108.00 200 46 3360 3213 -0.044 3275 -0.025 4159 0.238

73 661.50 190.00 1.52 306.10 108.00 200 46 3260 3157 -0.032 3268 0.002 4142 0.271

74 660.00 190.00 1.13 185.70 108.00 200 46 3058 2940 -0.039 3107 0.016 3722 0.217

75 662.00 190.00 0.86 210.70 108.00 200 46 3070 2888 -0.059 3097 0.009 3682 0.199

76 339.00 111.30 2.00 354.60 60.80 200 39 855 966 0.130 888 0.038 1159 0.355

77 338.00 113.60 3.20 354.60 60.80 200 39 1145 1203 0.050 1100 -0.039 1406 0.228

78 338.00 114.80 3.90 357.70 60.80 200 39 1116 1342 0.203 1227 0.100 1547 0.387

79 356.00 115.90 4.90 309.50 60.80 200 39 1174 1398 0.191 1273 0.084 1599 0.362

80 396.00 130.60 2.30 324.30 60.80 200 39 1250 1285 0.028 1178 -0.058 1535 0.228



81 397.00 133.10 4.50 324.30 60.80 200 39 1535 1714 0.117 1563 0.018 1982 0.292

82 419.00 141.80 4.30 433.00 60.80 200 39 1618 2134 0.319 1961 0.212 2476 0.530

83 476.00 159.80 6.30 482.50 60.80 200 39 3123 3296 0.055 3030 -0.030 3730 0.194

84 497.00 165.70 5.10 373.30 60.80 200 39 2309 2720 0.178 2491 0.079 3167 0.371

85 310.00 101.30 1.50 264.90 21.90 200 31 370 386 0.043 354 -0.042 434 0.174

86 310.00 102.30 1.52 264.90 21.90 200 31 485 395 -0.186 363 -0.252 444 -0.085

87 310.00 104.20 2.44 264.90 21.90 200 31 450 514 0.143 482 0.071 563 0.252

88 310.00 105.00 2.06 264.90 18.40 200 29 539 444 -0.177 417 -0.226 484 -0.101

89 310.00 105.10 2.85 264.90 18.40 200 29 550 535 -0.028 511 -0.072 571 0.038

90 310.00 107.90 4.32 264.90 18.40 200 29 686 720 0.050 700 0.020 745 0.085

91 424.00 107.90 4.32 264.90 18.40 200 29 727 700 -0.037 662 -0.090 745 0.024

92 424.00 107.90 4.32 264.90 18.40 200 29 734 700 -0.047 662 -0.098 745 0.015

93 424.00 107.90 4.32 264.90 18.40 200 29 803 700 -0.128 662 -0.176 745 -0.073

94 470.00 153.90 1.80 356.10 18.40 200 29 981 845 -0.138 788 -0.197 948 -0.033

95 470.00 154.20 2.65 356.10 18.40 200 29 1294 1047 -0.191 992 -0.233 1149 -0.112

96 470.00 155.60 2.63 356.10 23.00 200 31 1300 1151 -0.114 1077 -0.172 1286 -0.010

97 470.00 159.30 5.25 356.10 21.90 200 31 1577 1774 0.125 1706 0.082 1872 0.187

98 470.00 160.20 5.40 356.10 21.90 200 31 1775 1822 0.026 1754 -0.012 1917 0.080

99 470.00 159.80 5.08 356.10 21.90 200 31 1746 1745 -0.001 1676 -0.040 1845 0.057

100 812.00 264.60 4.55 323.40 21.90 200 31 3579 3123 -0.128 2915 -0.185 3485 -0.026

101 812.00 265.00 4.75 323.40 21.90 200 31 3789 3203 -0.155 2995 -0.210 3565 -0.059

102 812.00 264.40 4.50 323.40 21.90 200 31 3357 3101 -0.076 2894 -0.138 3463 0.032

103 399.00 111.30 2.00 354.60 42.70 200 36 840 775 -0.078 717 -0.146 936 0.114

104 337.00 113.60 3.20 354.60 42.70 200 36 1141 1029 -0.098 949 -0.168 1168 0.024

105 338.00 113.60 3.20 354.60 42.70 200 36 1091 1029 -0.057 949 -0.131 1168 0.070

106 336.00 113.60 3.20 354.60 42.70 200 36 1139 1030 -0.096 949 -0.166 1168 0.025

107 335.00 114.80 3.90 357.70 42.70 200 36 1041 1166 0.120 1079 0.037 1301 0.250

108 338.00 114.80 3.90 357.70 42.70 200 36 1110 1165 0.050 1078 -0.029 1301 0.172

109 343.00 114.80 3.90 357.70 42.70 200 36 1030 1163 0.129 1075 0.044 1301 0.263

110 356.00 115.90 4.90 309.50 42.70 200 36 1122 1221 0.089 1126 0.004 1353 0.205

111 344.00 115.90 4.90 309.50 42.70 200 36 1234 1227 -0.006 1132 -0.083 1353 0.096

112 340.00 115.90 4.90 309.50 42.70 200 36 1102 1228 0.115 1134 0.029 1353 0.227

113 357.00 115.90 4.90 309.50 42.70 200 36 1140 1221 0.071 1126 -0.013 1353 0.186

114 396.00 130.10 2.30 324.30 42.70 200 36 1240 1048 -0.155 958 -0.228 1225 -0.012

115 397.00 133.10 4.50 324.30 42.70 200 36 1440 1476 0.025 1361 -0.055 1657 0.151

116 450.00 158.70 0.90 221.00 18.70 200 30 700 591 -0.156 516 -0.263 649 -0.073

117 450.00 157.50 1.50 308.00 18.70 200 30 815 766 -0.060 700 -0.142 858 0.053

118 450.00 157.70 2.14 286.00 18.70 200 30 908 872 -0.040 807 -0.110 966 0.064

119 1100.00 273.00 8.00 306.70 29.62 200 33 5576 4660 -0.164 4306 -0.228 5243 -0.060

120 1100.00 273.00 8.00 306.70 40.28 200 35 5194 5219 0.005 4807 -0.074 6073 0.169

121 1100.00 273.00 8.00 306.70 40.28 200 35 5292 5219 -0.014 4807 -0.092 6073 0.148

122 840.00 204.00 2.00 235.20 28.45 200 32 1294 1398 0.081 1302 0.006 1641 0.268

123 840.00 204.00 2.00 235.20 39.53 200 35 1637 1716 0.048 1636 -0.001 2063 0.260



124 840.00 204.00 2.00 235.20 40.28 200 35 1691 1737 0.027 1658 -0.019 2092 0.237

125 450.00 96.00 5.00 410.60 28.45 200 32 1044 977 -0.065 883 -0.154 962 -0.079

126 450.00 96.00 5.00 410.60 28.45 200 32 1166 977 -0.162 883 -0.242 962 -0.175

127 400.00 96.00 5.00 410.60 39.53 200 35 1176 1069 -0.091 969 -0.176 1128 -0.041

128 400.00 96.00 5.00 410.60 39.53 200 35 1171 1069 -0.087 969 -0.172 1128 -0.037

129 400.00 96.00 5.00 410.60 39.53 200 35 1073 1069 -0.004 969 -0.097 1128 0.051

130 405.00 96.00 5.00 410.60 39.53 200 35 1122 1067 -0.049 966 -0.139 1119 -0.002

131 660.00 166.00 5.00 274.40 26.56 200 32 1744 1583 -0.092 1466 -0.159 1794 0.029

132 660.00 166.00 5.00 274.40 26.56 200 32 1695 1583 -0.066 1466 -0.135 1794 0.059

133 660.00 166.00 5.00 274.40 29.62 200 33 1862 1645 -0.117 1519 -0.184 1886 0.013

134 660.00 166.00 5.00 274.40 29.62 200 33 1872 1645 -0.121 1519 -0.189 1886 0.007

135 660.00 166.00 5.00 274.40 29.62 200 33 1695 1645 -0.030 1519 -0.104 1886 0.113

136 660.00 166.00 5.00 274.40 29.62 200 33 1735 1645 -0.052 1519 -0.125 1886 0.087

137 660.00 166.00 5.00 274.40 29.62 200 33 2029 1645 -0.189 1519 -0.251 1886 -0.071

138 660.00 166.00 5.00 274.40 29.62 200 33 2107 1645 -0.219 1519 -0.279 1886 -0.105

139 500.00 121.00 12.00 294.00 28.45 200 32 2421 1861 -0.231 1713 -0.293 1841 -0.240

140 500.00 121.00 12.00 294.00 40.28 200 35 2587 2003 -0.226 1790 -0.308 2016 -0.221

141 350.00 166.00 5.00 274.40 29.62 200 33 1784 1773 -0.006 1662 -0.068 1886 0.057

142 350.00 166.00 5.00 274.40 29.62 200 33 2038 1773 -0.130 1662 -0.184 1886 -0.075

143 500.00 166.00 5.00 274.40 29.62 200 33 1999 1709 -0.145 1589 -0.205 1886 -0.057

144 500.00 166.00 5.00 274.40 29.62 200 33 2043 1709 -0.163 1589 -0.222 1886 -0.077

145 660.00 166.00 5.00 274.40 29.62 200 33 1975 1645 -0.167 1519 -0.231 1886 -0.045

146 260.00 320.00 7.00 249.90 46.57 200 37 7909 7484 -0.054 6450 -0.184 7568 -0.043

147 440.00 320.00 7.00 249.90 46.57 200 37 5900 7228 0.225 6300 0.068 7568 0.283

148 520.00 320.00 7.00 249.90 46.57 200 37 5890 7117 0.208 6237 0.059 7568 0.285

149 520.00 320.00 7.00 249.90 46.57 200 37 6380 7117 0.116 6237 -0.022 7568 0.186

150 324.00 108.00 4.00 338.88 28.99 200 33 1117 919 -0.177 867 -0.224 988 -0.116

151 324.00 108.00 4.00 338.88 28.99 200 33 1058 919 -0.132 867 -0.181 988 -0.067

152 324.00 108.00 4.00 338.88 28.99 200 33 1073 919 -0.144 867 -0.192 988 -0.080

153 438.00 125.00 1.00 232.00 106.02 200 46 1275 1309 0.027 1358 0.065 1687 0.323

154 438.00 125.00 1.00 232.00 106.02 200 46 1239 1309 0.057 1358 0.096 1687 0.361

155 445.00 127.00 2.00 258.00 106.02 200 46 1491 1526 0.023 1508 0.011 1967 0.319

156 445.00 127.00 2.00 258.00 106.02 200 46 1339 1526 0.140 1508 0.126 1967 0.469

157 465.00 133.00 3.50 352.00 106.02 200 46 1995 2057 0.031 1954 -0.020 2636 0.321

158 465.00 133.00 3.50 352.00 106.02 200 46 1991 2057 0.033 1954 -0.019 2636 0.324

159 465.00 133.00 3.50 352.00 106.02 200 46 1962 2057 0.048 1954 -0.004 2636 0.343

160 465.00 133.00 4.70 352.00 106.02 200 46 2273 2276 0.001 2123 -0.066 2858 0.258

161 465.00 133.00 4.70 352.00 106.02 200 46 2158 2276 0.055 2123 -0.016 2858 0.325

162 465.00 133.00 4.70 352.00 106.02 200 46 2253 2276 0.010 2123 -0.058 2858 0.269

163 445.00 127.00 7.00 429.00 106.02 200 46 3404 2741 -0.195 2484 -0.270 3291 -0.033

164 445.00 127.00 7.00 429.00 106.02 200 46 3370 2741 -0.187 2484 -0.263 3291 -0.023

165 445.00 127.00 7.00 429.00 106.02 200 46 3364 2741 -0.185 2484 -0.262 3291 -0.022

166 300.00 100.00 2.50 433.20 45.77 200 36 828 856 0.034 791 -0.045 984 0.188



167 300.00 100.00 3.00 426.30 35.17 200 34 777 853 0.097 797 0.026 942 0.212

168 630.00 210.00 2.50 237.20 26.56 200 32 1637 1624 -0.008 1459 -0.109 1844 0.127

169 300.00 100.00 2.50 244.00 34.85 200 34 670 573 -0.144 523 -0.219 648 -0.032

170 300.00 100.00 2.00 236.20 34.85 200 34 537 517 -0.038 468 -0.129 589 0.097

171 300.00 100.00 1.50 232.30 34.85 200 34 505 464 -0.081 417 -0.174 532 0.053

172 276.00 92.00 3.00 260.70 23.37 200 31 538 489 -0.091 462 -0.142 526 -0.021

173 324.00 108.00 4.00 332.00 41.17 200 36 970 1019 0.050 942 -0.029 1131 0.166

174 300.00 100.00 2.50 433.20 48.35 200 37 828 875 0.057 808 -0.024 1011 0.221

175 630.00 210.00 2.50 237.20 27.82 200 32 1637 1669 0.020 1499 -0.084 1900 0.160

176 300.00 100.00 2.50 244.00 36.19 200 34 670 584 -0.128 532 -0.206 662 -0.012

177 300.00 100.00 1.50 232.30 36.19 200 34 505 475 -0.060 427 -0.155 545 0.079

178 300.00 100.00 2.00 236.20 36.19 200 34 537 527 -0.018 477 -0.112 602 0.122

179 278.00 106.00 3.00 298.90 43.21 200 36 848 843 -0.006 771 -0.091 943 0.112

180 203.00 101.50 3.40 602.70 32.68 200 34 1080 1206 0.116 1185 0.097 1242 0.150

181 322.00 153.00 3.20 413.60 21.54 200 30 1191 1390 0.167 1349 0.133 1462 0.227

182 153.00 76.50 1.70 361.60 24.37 200 31 344 348 0.012 333 -0.031 368 0.070

183 1000.00 300.00 3.00 274.40 9.90 200 26 2636 1967 -0.254 1860 -0.294 2158 -0.182

184 1000.00 300.00 3.00 274.40 28.72 200 33 3420 3366 -0.016 3062 -0.105 3940 0.152

185 1000.00 300.00 3.00 266.90 24.12 200 31 3038 3011 -0.009 2736 -0.100 3489 0.148

186 276.00 92.00 3.00 260.70 20.71 200 30 538 470 -0.126 448 -0.168 501 -0.069

187 324.00 108.00 4.50 259.70 20.22 200 30 931 746 -0.198 718 -0.229 778 -0.164

188 324.00 108.00 4.00 332.00 39.23 200 35 970 1001 0.032 928 -0.043 1107 0.141

189 324.00 108.00 4.20 259.70 20.54 200 30 916 718 -0.216 688 -0.249 754 -0.177

190 630.00 210.00 2.50 237.20 26.56 200 32 1637 1624 -0.008 1459 -0.109 1844 0.127

191 418.00 106.00 3.00 298.90 36.14 200 34 736 734 -0.003 676 -0.081 861 0.169

192 305.00 101.60 3.03 371.00 23.20 200 31 635 706 0.112 674 0.061 755 0.188

193 305.00 101.80 3.03 371.00 23.20 200 31 679 708 0.043 676 -0.005 757 0.115

194 305.00 101.80 3.03 371.00 23.20 200 31 632 708 0.120 676 0.069 757 0.197

195 650.00 216.50 6.61 452.00 24.30 200 31 3568 3767 0.056 3606 0.011 4003 0.122

196 955.00 318.50 10.37 335.00 24.20 200 31 6901 6942 0.006 6603 -0.043 7425 0.076

197 305.00 101.60 3.03 371.00 40.20 200 35 864 847 -0.019 785 -0.092 953 0.102

198 305.00 101.70 3.03 371.00 40.20 200 35 803 849 0.057 786 -0.021 954 0.188

199 650.00 216.50 6.61 452.00 38.20 200 35 4200 4300 0.024 4012 -0.045 4770 0.136

200 955.00 318.40 10.37 335.00 39.20 200 35 7742 8158 0.054 7551 -0.025 9113 0.177

201 305.00 101.50 3.03 371.00 51.30 200 38 859 932 0.085 856 -0.003 1071 0.247

202 305.00 101.90 3.03 371.00 51.30 200 38 926 938 0.013 862 -0.069 1078 0.164

203 650.00 216.40 6.61 452.00 46.70 200 37 4283 4601 0.074 4259 -0.006 5207 0.216

204 955.00 318.30 10.37 335.00 52.20 200 38 9297 9147 -0.016 8379 -0.099 10478 0.127

205 305.00 101.40 3.03 371.00 23.20 200 31 660 704 0.067 672 0.018 753 0.140

206 305.00 101.90 3.03 371.00 23.20 200 31 649 709 0.093 677 0.043 758 0.168

207 305.00 101.80 3.03 371.00 23.20 200 31 682 708 0.038 676 -0.009 757 0.110

208 649.00 216.40 6.61 452.00 24.30 200 31 3568 3765 0.055 3605 0.010 4001 0.121

209 955.00 318.30 10.37 335.00 24.20 200 31 6565 6936 0.056 6597 0.005 7418 0.130



210 305.00 101.70 3.03 371.00 40.20 200 35 800 849 0.061 786 -0.018 954 0.193

211 305.00 101.30 3.03 371.00 40.20 200 35 742 843 0.136 781 0.052 948 0.278

212 649.00 216.40 6.61 452.00 38.20 200 35 4023 4297 0.068 4010 -0.003 4767 0.185

213 955.00 318.30 10.37 335.00 39.20 200 35 7933 8154 0.028 7547 -0.049 9109 0.148

214 305.00 101.90 3.03 371.00 51.30 200 38 877 938 0.070 862 -0.017 1078 0.229

215 305.00 101.50 3.03 371.00 51.30 200 38 862 932 0.081 856 -0.007 1071 0.243

216 649.00 216.40 6.61 452.00 46.80 200 37 4214 4605 0.093 4263 0.012 5212 0.237

217 955.00 318.50 10.37 335.00 52.20 200 38 8289 9157 0.105 8387 0.012 10489 0.265

218 300.00 100.00 3.00 303.50 46.80 200 37 708 789 0.115 722 0.020 902 0.274

219 300.00 100.00 3.00 303.50 46.80 200 37 820 789 -0.037 722 -0.119 902 0.100

220 300.00 100.00 3.00 303.50 46.80 200 37 766 789 0.030 722 -0.057 902 0.178

221 300.00 100.00 3.00 303.50 46.80 200 37 820 789 -0.037 722 -0.119 902 0.100

222 300.00 100.00 3.00 303.50 46.80 200 37 780 789 0.012 722 -0.074 902 0.156

223 300.00 100.00 3.00 303.50 46.80 200 37 814 789 -0.030 722 -0.113 902 0.108

224 600.00 200.00 3.00 303.50 46.80 200 37 2320 2408 0.038 2190 -0.056 2828 0.219

225 600.00 200.00 3.00 303.50 46.80 200 37 2330 2408 0.033 2190 -0.060 2828 0.214

226 600.00 200.00 3.00 303.50 46.80 200 37 2160 2408 0.115 2190 0.014 2828 0.309

227 600.00 200.00 3.00 303.50 46.80 200 37 2160 2408 0.115 2190 0.014 2828 0.309

228 600.00 200.00 3.00 303.50 46.80 200 37 2383 2408 0.010 2190 -0.081 2828 0.187

229 600.00 200.00 3.00 303.50 46.80 200 37 2256 2408 0.067 2190 -0.029 2828 0.254

230 240.00 108.00 4.50 409.64 28.60 200 33 1245 1151 -0.075 1123 -0.098 1182 -0.050

231 240.00 108.00 4.50 409.64 28.60 200 33 1235 1151 -0.068 1123 -0.090 1182 -0.043

232 285.00 108.00 4.50 409.64 28.60 200 33 1254 1135 -0.095 1093 -0.129 1182 -0.058

233 290.00 108.00 4.50 409.64 28.60 200 33 1225 1133 -0.075 1089 -0.111 1182 -0.035

234 340.00 108.00 4.50 409.64 28.60 200 33 1161 1116 -0.039 1057 -0.090 1182 0.018

235 380.00 108.00 4.50 409.64 28.60 200 33 1166 1102 -0.055 1033 -0.114 1182 0.014

236 380.00 108.00 4.50 409.64 28.60 200 33 1210 1102 -0.089 1033 -0.147 1182 -0.023

237 400.00 108.00 4.50 409.64 28.60 200 33 1872 1096 -0.415 1021 -0.454 1182 -0.368

238 300.00 114.43 3.98 343.00 25.10 200 32 948 971 0.024 933 -0.016 1022 0.078

239 300.00 114.57 3.99 343.00 74.90 200 42 1308 1486 0.136 1347 0.030 1707 0.305

240 300.00 114.43 3.82 343.00 27.80 200 32 929 977 0.052 930 0.001 1040 0.120

241 300.00 114.26 3.93 343.00 77.80 200 42 1359 1498 0.102 1357 -0.002 1727 0.271

242 300.50 114.88 4.91 343.00 27.80 200 32 1380 1147 -0.169 1100 -0.203 1197 -0.133

243 300.00 115.04 4.92 343.00 83.90 200 43 1787 1718 -0.038 1554 -0.131 1965 0.099

244 300.50 115.02 5.02 343.00 46.10 200 37 1413 1362 -0.036 1263 -0.106 1481 0.048

245 299.30 114.49 3.75 343.00 46.10 200 37 1038 1163 0.120 1071 0.032 1292 0.245

246 300.00 114.29 3.75 343.00 46.10 200 37 1067 1159 0.086 1068 0.001 1288 0.207

247 300.00 114.30 3.85 343.00 25.50 200 32 998 954 -0.044 914 -0.084 1008 0.010

248 300.50 114.09 3.85 343.00 25.50 200 32 948 951 0.004 911 -0.039 1006 0.061

249 300.00 114.54 3.84 343.00 79.10 200 42 1359 1503 0.106 1361 0.001 1737 0.278

250 299.50 114.37 3.85 343.00 79.10 200 42 1182 1501 0.270 1359 0.150 1734 0.467

251 717.00 239.00 4.54 507.00 25.40 200 32 3035 3698 0.218 3495 0.151 4085 0.346

252 714.00 238.00 4.54 507.00 40.50 200 35 3647 4356 0.194 4042 0.108 5030 0.379



253 714.00 238.00 4.54 507.00 77.00 200 42 5578 5854 0.049 5437 -0.025 7167 0.285

254 1083.00 361.00 4.54 525.00 35.40 200 34 5633 7816 0.388 7240 0.285 9140 0.622

255 1083.00 361.00 4.54 525.00 41.10 200 36 7260 8388 0.155 7756 0.068 9929 0.368

256 1080.00 360.00 4.54 525.00 85.10 200 43 11505 12419 0.079 11746 0.021 15565 0.353

257 520.00 164.00 3.80 342.00 24.20 200 31 1639 1510 -0.079 1418 -0.135 1670 0.019

258 520.00 164.00 3.80 342.00 24.20 200 31 1639 1510 -0.079 1418 -0.135 1670 0.019

259 520.00 164.00 3.80 342.00 24.20 200 31 1639 1510 -0.079 1418 -0.135 1670 0.019

260 520.00 159.00 4.80 366.00 24.20 200 31 1907 1732 -0.092 1638 -0.141 1875 -0.017

261 520.00 159.00 4.80 366.00 24.20 200 31 1907 1732 -0.092 1638 -0.141 1875 -0.017

262 520.00 159.00 4.80 366.00 24.20 200 31 1907 1732 -0.092 1638 -0.141 1875 -0.017

263 520.00 159.00 5.20 379.00 24.20 200 31 2037 1866 -0.084 1769 -0.131 2003 -0.017

264 520.00 159.00 5.20 379.00 24.20 200 31 2037 1866 -0.084 1769 -0.131 2003 -0.017

265 520.00 159.00 5.20 379.00 24.20 200 31 2037 1866 -0.084 1769 -0.131 2003 -0.017

266 520.00 159.00 6.30 360.00 24.20 200 31 2177 2042 -0.062 1942 -0.108 2160 -0.008

267 520.00 159.00 6.30 360.00 24.20 200 31 2177 2042 -0.062 1942 -0.108 2160 -0.008

268 520.00 159.00 6.30 360.00 24.20 200 31 2177 2042 -0.062 1942 -0.108 2160 -0.008

269 503.00 167.40 3.32 354.00 40.60 200 35 1704 1846 0.083 1695 -0.005 2135 0.253

270 502.00 167.30 3.35 354.00 40.60 200 35 1668 1852 0.110 1701 0.020 2141 0.284

271 503.00 167.50 3.33 354.00 40.60 200 35 1700 1850 0.088 1699 -0.000 2140 0.259

272 419.00 138.90 3.29 331.70 35.70 200 34 1140 1263 0.108 1165 0.022 1433 0.257

273 419.00 139.00 3.29 331.70 35.70 200 34 1220 1264 0.036 1167 -0.044 1434 0.176

274 419.00 139.50 3.37 331.70 35.70 200 34 1180 1287 0.090 1188 0.007 1458 0.235

275 416.00 139.90 3.58 325.30 35.70 200 34 1222 1320 0.081 1220 -0.002 1488 0.218

276 421.00 139.90 3.54 325.30 35.70 200 34 1242 1311 0.055 1211 -0.025 1481 0.193

277 419.00 139.90 3.48 325.30 35.70 200 34 1300 1301 0.000 1201 -0.076 1470 0.131

278 396.00 133.40 5.21 351.00 37.20 200 35 1612 1601 -0.007 1493 -0.074 1748 0.084

279 397.00 133.20 5.06 351.00 37.20 200 35 1580 1570 -0.006 1463 -0.074 1719 0.088

280 398.00 133.40 5.23 351.00 37.20 200 35 1640 1604 -0.022 1495 -0.088 1751 0.068

281 503.00 167.00 3.37 354.00 56.50 200 39 2075 2184 0.052 2000 -0.036 2588 0.247

282 503.00 167.10 3.33 354.00 56.50 200 39 2105 2176 0.034 1993 -0.053 2580 0.226

283 504.00 167.80 3.33 354.00 56.50 200 39 2055 2192 0.067 2008 -0.023 2598 0.264

284 418.00 138.60 3.31 331.70 50.00 200 37 1490 1472 -0.012 1347 -0.096 1715 0.151

285 420.00 138.90 3.36 331.70 50.00 200 37 1520 1486 -0.022 1360 -0.105 1730 0.138

286 420.00 138.60 3.30 331.70 50.00 200 37 1500 1469 -0.021 1344 -0.104 1713 0.142

287 418.00 140.30 3.62 325.30 49.10 200 37 1582 1536 -0.029 1405 -0.112 1775 0.122

288 418.00 140.00 3.60 325.30 49.10 200 37 1582 1526 -0.035 1396 -0.117 1765 0.116

289 420.00 139.70 3.61 325.30 49.10 200 37 1540 1521 -0.012 1392 -0.096 1761 0.143

290 396.00 133.40 5.17 351.00 56.50 200 39 1810 1852 0.023 1696 -0.063 2103 0.162

291 396.00 133.20 5.03 351.00 56.50 200 39 1770 1822 0.030 1669 -0.057 2074 0.172

292 397.00 133.20 5.07 351.00 56.50 200 39 1835 1829 -0.003 1675 -0.087 2081 0.134

293 420.00 138.90 3.28 331.70 61.70 200 39 1688 1637 -0.030 1497 -0.113 1938 0.148

294 418.00 138.70 3.28 331.70 61.70 200 39 1680 1634 -0.027 1494 -0.111 1934 0.151

295 418.00 139.00 3.29 331.70 61.70 200 39 1629 1642 0.008 1501 -0.079 1943 0.193



296 477.00 159.30 5.36 356.30 61.70 200 39 2480 2578 0.039 2357 -0.050 2986 0.204

297 476.00 160.20 5.01 356.30 61.70 200 39 2440 2526 0.035 2309 -0.054 2937 0.204

298 478.00 159.30 5.07 356.30 61.70 200 39 2460 2513 0.021 2298 -0.066 2923 0.188

299 396.00 133.30 5.10 351.00 61.70 200 39 1930 1904 -0.014 1739 -0.099 2182 0.130

300 396.00 133.40 5.20 351.00 61.70 200 39 1955 1924 -0.016 1757 -0.101 2201 0.126

301 397.00 133.10 5.04 351.00 61.70 200 39 1955 1888 -0.034 1725 -0.118 2166 0.108

302 397.00 133.30 5.43 392.00 61.70 200 39 1820 2082 0.144 1907 0.048 2369 0.301

303 397.00 133.10 5.44 392.00 61.70 200 39 1915 2079 0.086 1904 -0.006 2365 0.235

304 397.00 133.10 5.43 392.00 61.70 200 39 1930 2077 0.076 1902 -0.015 2363 0.224

305 447.00 149.00 2.96 308.00 25.40 200 32 941 1109 0.179 1031 0.096 1239 0.317

306 447.00 149.00 2.96 308.00 40.50 200 35 1064 1377 0.294 1257 0.182 1591 0.495

307 447.00 149.00 2.96 308.00 40.50 200 35 1080 1377 0.275 1257 0.164 1591 0.473

308 447.00 149.00 2.96 308.00 77.00 200 42 1781 1972 0.107 1813 0.018 2375 0.333

309 903.00 301.00 2.96 279.00 25.40 200 32 2382 3213 0.349 2898 0.217 3667 0.540

310 900.00 300.00 2.96 279.00 41.10 200 36 3277 4319 0.318 3905 0.192 5027 0.534

311 900.00 300.00 2.96 279.00 41.10 200 36 3152 4319 0.370 3905 0.239 5027 0.595

312 903.00 301.00 2.96 279.00 80.30 200 42 5540 6916 0.248 6531 0.179 8321 0.502

313 1350.00 450.00 2.96 279.00 25.40 200 32 4415 6358 0.440 5672 0.285 7226 0.637

314 1350.00 450.00 2.96 279.00 41.10 200 36 6870 8872 0.291 8030 0.169 10238 0.490

315 1350.00 450.00 2.96 279.00 41.10 200 36 6985 8872 0.270 8030 0.150 10238 0.466

316 1350.00 450.00 2.96 279.00 85.10 200 43 11665 15216 0.304 14709 0.261 18241 0.564

317 366.00 122.00 4.54 576.00 25.40 200 32 1509 1645 0.090 1586 0.051 1714 0.136

318 366.00 122.00 4.54 576.00 40.50 200 35 1657 1839 0.110 1721 0.038 1995 0.204

319 366.00 122.00 4.54 576.00 40.50 200 35 1663 1839 0.106 1721 0.035 1995 0.200

320 366.00 122.00 4.54 576.00 77.00 200 42 2100 2235 0.064 2049 -0.024 2597 0.237

321 717.00 239.00 4.54 507.00 25.40 200 32 3035 3698 0.218 3495 0.151 4085 0.346

322 714.00 238.00 4.54 507.00 40.50 200 35 3583 4356 0.216 4042 0.128 5030 0.404

323 714.00 238.00 4.54 507.00 40.50 200 35 3647 4356 0.194 4042 0.108 5030 0.379

324 714.00 238.00 4.54 507.00 77.00 200 42 5578 5854 0.049 5437 -0.025 7167 0.285

325 1083.00 361.00 4.54 525.00 25.40 200 32 5633 6778 0.203 6341 0.126 7704 0.368

326 1083.00 361.00 4.54 525.00 41.10 200 36 7260 8388 0.155 7756 0.068 9929 0.368

327 1080.00 360.00 4.54 525.00 41.10 200 36 7045 8352 0.186 7723 0.096 9885 0.403

328 1080.00 360.00 4.54 525.00 85.10 200 43 11505 12419 0.079 11746 0.021 15565 0.353

329 324.00 108.00 6.47 853.00 25.40 200 32 2275 2366 0.040 2412 0.060 2503 0.100

330 327.00 109.00 6.47 853.00 40.50 200 35 2446 2672 0.092 2536 0.037 2792 0.142

331 324.00 108.00 6.47 853.00 40.50 200 35 2402 2639 0.099 2507 0.044 2758 0.148

332 324.00 108.00 6.47 853.00 77.00 200 42 2713 3022 0.114 2734 0.008 3286 0.211

333 666.00 222.00 6.47 843.00 25.40 200 32 4964 6053 0.219 5822 0.173 6356 0.280

334 666.00 222.00 6.47 843.00 40.50 200 35 5638 6726 0.193 6280 0.114 7345 0.303

335 666.00 222.00 6.47 843.00 40.50 200 35 5714 6726 0.177 6280 0.099 7345 0.286

336 666.00 222.00 6.47 843.00 77.00 200 42 7304 8049 0.102 7399 0.013 9456 0.295

337 1011.00 337.00 6.47 823.00 25.40 200 32 8475 10187 0.202 9687 0.143 11022 0.301

338 1011.00 337.00 6.47 823.00 41.10 200 36 9668 11636 0.204 10848 0.122 13242 0.370



339 1011.00 337.00 6.47 823.00 41.10 200 36 9835 11636 0.183 10848 0.103 13242 0.346

340 1011.00 337.00 6.47 823.00 85.10 200 43 13776 15180 0.102 14152 0.027 18768 0.362

341 399.00 133.05 5.00 351.00 70.80 200 41 1890 1992 0.054 1816 -0.039 2318 0.226

342 417.00 138.50 3.24 331.70 70.80 200 41 1851 1748 -0.056 1601 -0.135 2090 0.129

343 399.00 133.34 5.01 351.00 70.80 200 41 2004 2001 -0.001 1824 -0.090 2328 0.162

344 399.00 133.10 5.05 351.00 70.80 200 41 2514 2002 -0.204 1825 -0.274 2328 -0.074

345 417.00 139.30 3.36 331.70 70.80 200 41 1920 1789 -0.068 1637 -0.147 2134 0.112

346 417.00 138.25 3.34 331.70 70.80 200 41 2330 1761 -0.244 1612 -0.308 2103 -0.097

347 400.00 133.25 4.91 351.00 75.30 200 42 2347 2036 -0.133 1856 -0.209 2386 0.017

348 400.00 133.21 5.05 351.00 75.30 200 42 2366 2059 -0.130 1876 -0.207 2409 0.018

349 400.00 133.42 5.41 351.00 75.30 200 42 2324 2128 -0.084 1937 -0.167 2475 0.065

350 400.00 133.22 6.07 392.00 75.30 200 42 2234 2369 0.060 2157 -0.034 2724 0.219

351 400.00 133.29 6.17 392.00 75.30 200 42 2267 2390 0.054 2176 -0.040 2744 0.210

352 400.00 133.29 6.11 392.00 75.30 200 42 2275 2378 0.045 2166 -0.048 2733 0.201

353 418.00 139.40 3.27 331.70 75.30 200 42 2120 1836 -0.134 1683 -0.206 2203 0.039

354 416.00 138.70 3.23 331.70 75.30 200 42 2147 1813 -0.156 1662 -0.226 2176 0.013

355 416.00 138.70 3.27 331.70 75.30 200 42 2185 1820 -0.167 1669 -0.236 2184 -0.001

356 477.00 158.60 5.17 356.30 75.30 200 42 3198 2758 -0.137 2519 -0.212 3261 0.020

357 477.00 158.90 5.12 356.30 75.30 200 42 3095 2757 -0.109 2518 -0.186 3260 0.053

358 477.00 159.10 5.11 356.30 75.30 200 42 3031 2761 -0.089 2522 -0.168 3265 0.077

359 1420.00 95.00 12.50 279.00 20.60 209 30 947 938 -0.009 884 -0.066 775 -0.182

360 1420.00 95.00 12.75 277.00 20.60 209 30 938 940 0.003 891 -0.050 779 -0.170

361 1420.00 95.00 12.40 277.00 20.60 209 30 907 933 0.028 874 -0.036 766 -0.155

362 860.00 95.00 12.60 279.00 20.60 209 30 1018 1066 0.047 959 -0.058 931 -0.085

363 860.00 95.00 12.70 277.00 20.60 209 30 1008 1064 0.055 959 -0.049 930 -0.077

364 860.00 95.00 12.70 277.00 20.60 209 30 1034 1064 0.029 959 -0.073 930 -0.101

365 1980.00 95.00 12.80 283.00 20.60 209 30 886 840 -0.052 802 -0.095 677 -0.236

366 1980.00 95.00 12.50 280.00 20.60 209 30 907 832 -0.082 784 -0.136 662 -0.270

367 1980.00 95.00 12.60 294.00 20.60 209 30 917 851 -0.072 813 -0.113 693 -0.244

368 860.00 95.00 3.66 332.00 25.30 209 32 656 578 -0.119 491 -0.252 543 -0.173

369 860.00 95.00 3.68 392.00 25.30 209 32 686 651 -0.051 545 -0.206 606 -0.116

370 860.00 95.00 3.40 340.00 25.30 209 32 656 558 -0.150 475 -0.275 529 -0.193

371 1420.00 95.00 3.86 332.00 25.30 209 32 567 523 -0.078 461 -0.187 467 -0.177

372 1420.00 95.00 3.91 392.00 25.30 209 32 606 594 -0.020 516 -0.149 524 -0.135

373 1420.00 95.00 3.58 340.00 25.30 209 32 576 503 -0.127 446 -0.225 455 -0.211

374 1980.00 95.00 3.76 332.00 25.30 209 32 536 472 -0.120 394 -0.264 392 -0.268

375 1980.00 95.00 3.78 392.00 25.30 209 32 567 533 -0.059 427 -0.247 438 -0.227

376 1980.00 95.00 3.51 340.00 25.30 209 32 488 457 -0.064 382 -0.217 383 -0.214

377 2220.00 216.00 4.06 289.00 23.20 209 31 1023 1593 0.557 1494 0.461 1674 0.637

378 2220.00 216.00 4.11 304.00 23.20 209 31 1834 1653 -0.099 1537 -0.162 1727 -0.058

379 2220.00 216.00 4.04 293.00 30.20 209 33 2289 1727 -0.245 1704 -0.255 1930 -0.157

380 2220.00 216.00 4.11 291.00 30.20 209 33 2239 1739 -0.223 1711 -0.236 1937 -0.135

381 2220.00 216.00 6.05 395.00 23.20 209 31 2462 2546 0.034 2176 -0.116 2438 -0.010



382 2220.00 216.00 5.97 399.00 23.20 209 31 2421 2539 0.049 2171 -0.103 2435 0.006

383 2220.00 216.00 6.50 300.00 30.20 209 33 2804 2365 -0.157 2134 -0.239 2406 -0.142

384 2220.00 216.00 6.30 411.00 30.20 209 33 2932 2831 -0.034 2483 -0.153 2832 -0.034

385 1980.00 95.00 3.86 337.00 24.40 209 31 498 482 -0.031 401 -0.195 397 -0.203

386 1980.00 95.00 3.40 343.00 24.40 209 31 473 446 -0.057 373 -0.212 374 -0.210

387 1980.00 95.00 3.58 360.00 24.40 209 31 473 479 0.013 394 -0.167 397 -0.161

388 1980.00 95.00 3.73 332.00 24.40 209 31 413 466 0.128 389 -0.057 385 -0.067

389 1050.00 121.00 3.66 300.00 21.40 209 30 695 722 0.039 627 -0.098 690 -0.008

390 1050.00 121.00 3.73 333.00 21.40 209 30 746 784 0.051 673 -0.098 743 -0.004

391 1050.00 121.00 3.76 313.00 24.60 209 31 837 780 -0.068 680 -0.188 759 -0.093

392 1050.00 121.00 3.99 332.00 24.60 209 31 867 845 -0.025 728 -0.161 811 -0.064

393 1050.00 121.00 5.61 349.00 21.40 209 30 998 1085 0.087 905 -0.093 970 -0.028

394 1050.00 121.00 5.41 348.00 21.40 209 30 1018 1055 0.036 881 -0.134 947 -0.070

395 1050.00 121.00 5.46 336.00 24.60 209 31 1099 1063 -0.033 892 -0.188 972 -0.115

396 1050.00 121.00 5.56 327.00 24.60 209 31 1079 1056 -0.021 888 -0.177 965 -0.106

397 2310.00 121.00 3.71 300.00 21.40 209 30 641 584 -0.090 523 -0.184 512 -0.202

398 2310.00 121.00 3.76 333.00 21.40 209 30 629 634 0.009 556 -0.116 549 -0.127

399 2310.00 121.00 3.71 313.00 24.60 209 31 695 618 -0.111 556 -0.200 555 -0.201

400 2310.00 121.00 3.86 332.00 24.60 209 31 755 663 -0.122 585 -0.225 587 -0.223

401 2310.00 121.00 5.69 349.00 21.40 209 30 786 890 0.132 749 -0.046 720 -0.084

402 2310.00 121.00 5.49 348.00 21.40 209 30 816 865 0.061 730 -0.105 704 -0.138

403 2310.00 121.00 5.64 336.00 24.60 209 31 874 881 0.008 748 -0.144 729 -0.165

404 2310.00 121.00 5.44 327.00 24.60 209 31 865 842 -0.027 720 -0.168 702 -0.189

405 1524.00 101.70 3.07 614.00 34.70 212 34 818 783 -0.043 675 -0.174 751 -0.082

406 1524.00 101.70 3.10 614.00 31.60 212 33 801 776 -0.032 665 -0.170 731 -0.088

407 1050.00 120.70 4.09 459.00 34.90 194 34 1156 1134 -0.019 973 -0.159 1143 -0.011

408 1050.00 120.80 4.09 459.00 30.00 194 33 1092 1103 0.010 932 -0.146 1081 -0.010

409 1050.00 120.80 4.09 459.00 26.30 194 32 950 1077 0.134 901 -0.051 1032 0.086

410 1676.00 152.60 3.15 421.00 21.20 207 30 939 1024 0.090 905 -0.037 1009 0.074

411 1676.00 152.70 3.15 421.00 21.20 207 30 881 1025 0.163 905 0.028 1010 0.147

412 1524.00 76.50 1.70 369.00 25.30 200 32 245 221 -0.097 194 -0.208 205 -0.164

413 610.00 76.40 1.73 369.00 41.50 200 36 411 329 -0.200 312 -0.240 373 -0.093

414 609.00 76.50 1.73 369.00 26.30 200 32 330 290 -0.122 259 -0.215 300 -0.092

415 914.00 114.30 3.18 420.00 29.40 203 33 712 829 0.164 722 0.013 839 0.178

416 914.00 114.30 3.18 420.00 29.40 203 33 756 829 0.096 722 -0.046 839 0.109

417 914.00 127.00 2.41 294.00 35.60 203 34 627 725 0.157 700 0.117 822 0.311

418 914.00 127.00 2.41 294.00 35.60 203 34 623 725 0.165 700 0.124 822 0.319

419 914.00 127.00 2.41 294.00 35.60 203 34 658 725 0.103 700 0.064 822 0.249

420 914.00 152.40 1.55 336.00 21.40 203 30 682 701 0.028 665 -0.025 775 0.136

421 914.00 152.40 1.55 336.00 26.30 203 32 721 768 0.065 742 0.029 874 0.212

422 914.00 152.40 1.55 336.00 26.30 203 32 733 768 0.048 742 0.012 874 0.193

423 1880.00 355.60 11.18 361.00 38.60 203 35 11460 9399 -0.180 8535 -0.255 10054 -0.123

424 1880.00 355.60 11.18 361.00 33.30 203 34 10710 8991 -0.161 8138 -0.240 9415 -0.121



425 1880.00 355.60 4.72 281.00 21.30 203 30 3517 4137 0.176 3878 0.103 4501 0.280

426 2083.00 355.60 7.98 361.00 23.80 203 31 7433 6464 -0.130 5859 -0.212 6664 -0.103

427 711.00 127.30 1.63 376.00 67.20 203 40 1285 992 -0.228 1046 -0.186 1280 -0.004

428 711.00 127.30 1.63 334.00 67.20 203 40 1285 960 -0.253 1020 -0.206 1235 -0.039

429 711.00 127.10 2.95 376.00 67.20 203 40 1305 1260 -0.035 1228 -0.059 1527 0.170

430 711.00 127.10 2.95 334.00 67.20 203 40 1305 1201 -0.080 1180 -0.095 1457 0.117

431 406.00 140.10 9.68 270.00 32.60 203 34 2949 2009 -0.319 1885 -0.361 2075 -0.296

432 406.00 140.10 9.68 273.00 32.60 203 34 2949 2024 -0.314 1901 -0.355 2091 -0.291

433 406.00 140.40 4.93 293.00 33.20 203 34 1824 1446 -0.207 1347 -0.261 1581 -0.133

434 406.00 140.40 4.93 302.00 33.20 203 34 1824 1472 -0.193 1373 -0.247 1608 -0.119

435 813.00 168.20 4.52 302.00 31.90 203 33 2006 1661 -0.172 1532 -0.236 1793 -0.106

436 813.00 168.40 4.52 302.00 43.80 203 36 2233 1878 -0.159 1744 -0.219 2112 -0.054

437 813.00 168.20 4.52 302.00 43.80 203 36 2113 1874 -0.113 1741 -0.176 2107 -0.003

438 813.00 168.30 4.47 302.00 23.40 203 31 1744 1489 -0.146 1373 -0.213 1549 -0.112

439 850.00 114.00 1.79 266.00 37.00 200 32 515 491 -0.047 507 -0.015 602 0.169

440 850.00 114.00 3.35 291.00 37.00 200 32 785 724 -0.078 668 -0.149 794 0.011

441 850.00 114.00 4.44 332.00 37.00 200 35 902 945 0.047 829 -0.080 968 0.073

442 850.00 114.00 6.00 486.00 37.00 200 35 1334 1519 0.139 1262 -0.054 1445 0.083

443 1250.00 114.00 5.91 486.00 25.00 200 35 1177 1281 0.089 1084 -0.079 1133 -0.037

444 1750.00 114.00 1.93 266.00 33.00 200 35 461 373 -0.191 412 -0.106 449 -0.026

445 1750.00 114.00 3.32 291.00 30.00 200 32 628 539 -0.142 520 -0.172 557 -0.113

446 1750.00 114.00 5.94 486.00 37.00 200 32 1138 1243 0.092 1057 -0.072 1119 -0.017

447 2250.00 114.00 1.78 266.00 28.00 200 32 373 340 -0.090 320 -0.141 352 -0.058

448 2320.00 114.00 3.31 291.00 24.00 200 32 535 488 -0.087 423 -0.209 440 -0.178

449 2250.00 114.00 6.14 486.00 28.00 200 35 1000 1134 0.134 877 -0.123 934 -0.066

450 2220.00 215.90 4.09 292.00 22.90 184 24 1650 1595 -0.033 1491 -0.096 1676 0.016

451 2220.00 215.90 4.09 292.00 30.00 186 24 2264 1722 -0.239 1698 -0.250 1928 -0.148

452 2220.00 215.90 6.00 392.00 22.90 200 24 2442 2498 0.023 2137 -0.125 2401 -0.017

453 2220.00 215.90 6.00 350.00 30.00 215 24 2869 2448 -0.147 2199 -0.233 2511 -0.125

454 1050.00 120.90 3.76 312.00 21.10 215 22 721 748 0.038 645 -0.106 712 -0.013

455 2310.00 120.90 3.76 312.00 21.10 184 21 636 601 -0.055 531 -0.165 524 -0.176

456 1050.00 120.90 5.53 343.00 21.10 186 20 1010 1052 0.042 877 -0.131 945 -0.065

457 1050.00 120.90 5.53 343.00 24.20 215 24 1090 1079 -0.010 902 -0.173 986 -0.095

458 1370.00 95.00 3.65 350.00 25.00 184 22 667 522 -0.217 460 -0.310 473 -0.291

459 1420.00 95.00 3.65 350.00 25.00 186 23 583 517 -0.113 456 -0.218 466 -0.200

460 1980.00 95.00 3.65 350.00 25.00 215 22 529 477 -0.098 391 -0.261 397 -0.249

461 2440.00 165.00 4.30 317.70 43.30 184 21 1149 1254 0.092 1309 0.139 1417 0.234

462 2420.00 160.00 4.50 317.70 43.30 186 21 1561 1231 -0.212 1261 -0.192 1361 -0.128

463 1150.00 190.70 6.00 505.00 55.90 200 20 3064 3552 0.159 3196 0.043 3953 0.290

464 2300.00 190.70 6.00 505.00 55.90 215 21 2610 2854 0.093 2760 0.057 3184 0.220

465 2450.00 190.70 6.00 505.00 55.90 200 31 2060 2807 0.363 2703 0.312 3111 0.510

466 1150.00 190.70 6.00 505.00 48.40 200 33 3150 3417 0.085 3037 -0.036 3705 0.176

467 3450.00 190.70 6.00 505.00 48.40 200 31 2130 2613 0.227 2106 -0.011 2518 0.182



468 1600.00 267.40 7.00 461.00 55.90 200 33 5180 5961 0.151 5531 0.068 6858 0.324

469 3200.00 267.40 7.00 461.00 55.90 200 30 4540 4696 0.034 4796 0.056 5527 0.217

470 4800.00 267.40 7.00 461.00 55.90 200 30 3630 4580 0.262 3851 0.061 4668 0.286

471 1600.00 267.40 7.00 461.00 48.40 200 30 5190 5695 0.097 5206 0.003 6382 0.230

472 4800.00 267.40 7.00 461.00 48.40 200 31 3900 4309 0.105 3679 -0.057 4344 0.114

473 1100.00 166.00 5.00 274.40 29.62 200 32 1985 1486 -0.251 1347 -0.321 1534 -0.227

474 710.00 166.00 5.00 277.34 39.06 200 32 1656 1815 0.096 1671 0.009 2039 0.231

475 710.00 166.00 5.00 277.34 42.24 200 32 1906 1873 -0.017 1727 -0.094 2123 0.114

476 870.00 166.00 5.00 313.60 42.24 200 36 1828 1906 0.043 1754 -0.040 2092 0.145

477 870.00 166.00 5.00 284.20 42.24 200 36 1862 1812 -0.027 1674 -0.101 1994 0.071

478 1700.00 166.00 5.00 294.00 42.24 200 36 1544 1496 -0.031 1442 -0.066 1657 0.073

479 1700.00 166.00 5.00 313.60 42.24 200 38 1460 1552 0.063 1483 0.016 1710 0.171

480 2700.00 166.00 5.00 289.10 28.09 200 38 1117 1156 0.035 1101 -0.014 1131 0.012

481 2700.00 166.00 5.00 289.10 28.09 200 38 1271 1156 -0.091 1101 -0.133 1131 -0.110

482 3700.00 166.00 5.00 287.14 28.09 200 37 984 1098 0.116 933 -0.052 959 -0.026

483 3700.00 166.00 5.00 287.14 28.09 200 37 958 1098 0.146 933 -0.026 959 0.000

484 648.00 108.00 4.00 338.88 28.99 200 38 825 830 0.005 737 -0.107 827 0.002

485 648.00 108.00 4.00 338.88 28.99 200 38 828 830 0.002 737 -0.110 827 -0.001

486 864.00 108.00 4.00 338.88 28.99 200 38 766 778 0.016 672 -0.123 760 -0.008

487 864.00 108.00 4.00 338.88 28.99 200 37 802 778 -0.029 672 -0.162 760 -0.051

488 864.00 108.00 4.00 338.88 28.99 200 37 869 778 -0.105 672 -0.227 760 -0.125

489 1080.00 108.00 4.00 338.88 28.99 200 33 837 734 -0.124 630 -0.247 709 -0.152

490 1080.00 108.00 4.00 338.88 28.99 200 35 783 734 -0.063 630 -0.195 709 -0.094

491 1620.00 108.00 4.00 338.88 28.99 200 36 708 651 -0.080 589 -0.168 611 -0.137

492 1620.00 108.00 4.00 338.88 28.99 200 36 647 651 0.006 589 -0.090 611 -0.055

493 1620.00 108.00 4.00 338.88 28.99 200 36 644 651 0.011 589 -0.086 611 -0.051

494 2160.00 108.00 4.00 338.88 28.99 200 36 672 609 -0.093 518 -0.230 533 -0.207

495 2160.00 108.00 4.00 338.88 28.99 200 36 698 609 -0.127 518 -0.258 533 -0.236

496 2160.00 108.00 4.00 338.88 28.99 200 32 676 609 -0.099 518 -0.235 533 -0.211

497 524.00 104.00 2.00 344.00 32.65 200 32 540 567 0.049 527 -0.024 631 0.168

498 530.00 105.00 2.50 344.00 35.65 200 32 613 669 0.091 618 0.008 737 0.202

499 536.00 106.00 3.00 344.00 33.47 200 32 674 736 0.091 673 -0.002 787 0.168

500 542.00 107.00 3.50 379.80 31.87 200 33 835 857 0.026 775 -0.072 891 0.067

501 542.00 107.00 4.00 379.80 31.87 200 33 889 934 0.050 840 -0.055 955 0.074

502 548.00 108.00 4.50 344.00 33.50 200 33 917 968 0.055 871 -0.050 987 0.077

503 548.00 108.00 5.00 379.80 33.50 200 33 1084 1107 0.021 989 -0.088 1110 0.024

504 960.00 160.00 2.50 433.20 32.22 200 33 1426 1279 -0.103 1194 -0.163 1435 0.006

505 840.00 140.00 2.50 433.20 38.88 200 33 1124 1127 0.003 1057 -0.060 1284 0.143

506 840.00 140.00 3.00 426.30 33.06 200 33 1208 1177 -0.026 1071 -0.113 1275 0.055

507 600.00 100.00 2.50 433.20 45.77 200 33 750 735 -0.020 676 -0.099 824 0.098

508 600.00 100.00 3.00 426.30 29.13 200 33 723 720 -0.004 636 -0.120 730 0.010

509 980.00 200.00 2.00 237.20 24.24 200 33 1411 1180 -0.164 1118 -0.207 1328 -0.059

510 1040.00 210.00 2.50 237.20 27.07 200 33 1607 1468 -0.086 1394 -0.133 1657 0.031



511 1040.00 210.00 3.00 233.20 27.07 200 33 1705 1567 -0.081 1477 -0.134 1752 0.027

512 860.00 180.00 3.00 233.20 24.24 200 33 1352 1177 -0.130 1095 -0.190 1292 -0.044

513 1480.00 250.00 7.00 243.00 46.57 200 33 4116 3703 -0.100 3509 -0.147 4169 0.013

514 1440.00 240.00 10.00 269.00 49.80 200 33 5135 4475 -0.128 4083 -0.205 4817 -0.062

515 1040.00 166.00 5.00 288.10 54.33 200 33 1862 1909 0.025 1812 -0.027 2179 0.170

516 1040.00 166.00 5.00 288.10 43.89 200 33 1764 1764 0.000 1639 -0.071 1942 0.101

517 1040.00 166.00 5.00 288.10 26.73 200 33 1372 1503 0.096 1357 -0.011 1529 0.114

518 1040.00 166.00 5.00 288.10 29.72 200 33 1495 1551 0.038 1405 -0.060 1603 0.073

519 1040.00 166.00 5.00 288.10 23.00 200 33 1392 1441 0.035 1296 -0.069 1433 0.030

520 1040.00 166.00 5.00 288.10 44.11 200 33 1695 1767 0.043 1642 -0.031 1947 0.149

521 1040.00 166.00 5.00 288.10 55.65 200 33 1852 1927 0.040 1834 -0.010 2209 0.193

522 1040.00 166.00 5.00 288.10 37.75 200 33 1627 1675 0.029 1537 -0.055 1798 0.105

523 840.00 140.00 5.30 378.30 21.86 200 34 1326 1431 0.079 1262 -0.048 1364 0.029

524 840.00 140.00 5.00 378.30 30.58 200 34 1379 1483 0.075 1310 -0.050 1489 0.080

525 840.00 140.00 5.00 378.30 34.92 200 34 1501 1533 0.021 1358 -0.095 1570 0.046

526 840.00 140.00 5.30 378.30 51.50 200 33 1664 1767 0.062 1590 -0.044 1911 0.149

527 840.00 140.00 5.00 378.30 42.25 200 33 1539 1612 0.048 1441 -0.064 1702 0.106

528 460.00 92.00 3.00 260.70 20.71 200 34 501 442 -0.119 407 -0.189 443 -0.115

529 920.00 92.00 3.00 260.70 20.71 200 34 431 382 -0.114 330 -0.233 360 -0.165

530 1380.00 92.00 3.00 260.70 20.71 200 33 409 339 -0.171 307 -0.248 310 -0.242

531 648.00 108.00 4.50 259.70 20.22 200 35 665 687 0.033 618 -0.070 652 -0.020

532 972.00 108.00 4.50 259.70 20.22 200 34 666 636 -0.045 542 -0.187 578 -0.132

533 1296.00 108.00 4.50 259.70 20.22 200 36 563 592 0.051 498 -0.115 525 -0.067

534 1620.00 108.00 4.50 259.70 20.22 200 33 524 556 0.061 487 -0.071 482 -0.081

535 1994.00 108.00 4.50 259.70 20.22 200 31 495 524 0.058 461 -0.070 438 -0.115

536 540.00 108.00 4.00 327.10 39.23 200 32 836 915 0.094 831 -0.006 972 0.162

537 756.00 108.00 4.00 337.60 35.33 200 32 785 841 0.071 741 -0.055 855 0.090

538 972.00 108.00 4.00 337.60 33.54 200 31 736 777 0.055 677 -0.080 776 0.055

539 1188.00 108.00 4.00 327.10 34.03 200 37 686 719 0.048 642 -0.064 718 0.047

540 1404.00 108.00 4.00 332.00 33.15 200 37 686 686 -0.000 629 -0.083 675 -0.017

541 1620.00 108.00 4.00 347.70 33.15 200 38 672 678 0.009 622 -0.074 655 -0.026

542 648.00 108.00 4.20 259.70 20.54 200 36 722 659 -0.087 594 -0.178 631 -0.126

543 972.00 108.00 4.20 259.70 22.84 200 32 640 622 -0.029 536 -0.163 583 -0.089

544 1040.00 210.00 2.50 237.20 27.07 200 33 1607 1468 -0.086 1394 -0.133 1657 0.031

545 1670.00 210.00 2.50 237.20 26.56 200 31 1323 1236 -0.066 1257 -0.050 1423 0.075

546 1322.00 165.20 4.17 358.70 40.90 200 36 1445 1606 0.111 1502 0.039 1786 0.236

547 1982.00 165.20 4.17 358.70 40.90 200 38 1305 1391 0.066 1401 0.074 1565 0.199

548 2974.00 165.20 4.17 358.70 40.90 200 35 1180 1277 0.082 1200 0.017 1321 0.120

549 1830.00 168.80 2.64 200.20 18.20 200 31 823 654 -0.206 638 -0.225 687 -0.165

550 1830.00 168.80 2.64 200.20 34.70 200 33 916 829 -0.095 939 0.025 1015 0.109

551 1830.00 169.30 2.62 338.10 37.10 200 34 756 1062 0.405 1153 0.524 1295 0.713

552 1830.00 169.30 2.62 338.10 34.10 200 38 689 1034 0.500 1096 0.590 1233 0.790

553 2135.00 168.30 3.60 288.40 27.00 200 36 947 988 0.043 989 0.044 1078 0.138



554 2135.00 168.30 3.60 288.40 33.30 200 30 1050 1044 -0.006 1095 0.043 1202 0.145

555 2135.00 168.80 5.00 302.40 33.40 200 30 1130 1370 0.213 1319 0.167 1427 0.263

556 2135.00 168.80 5.00 302.40 27.80 200 30 1165 1318 0.131 1225 0.052 1312 0.126

557 1727.00 88.90 5.84 406.00 41.50 200 30 615 758 0.234 611 -0.007 636 0.034

558 1422.00 88.90 5.84 406.00 41.50 200 30 712 796 0.118 682 -0.042 698 -0.020

559 1118.00 88.90 5.84 406.00 41.50 200 30 715 852 0.192 734 0.026 769 0.075

560 813.00 88.90 5.84 406.00 41.50 200 30 919 928 0.011 766 -0.166 857 -0.067

561 508.00 88.90 5.84 406.00 41.50 200 30 992 1023 0.031 885 -0.108 985 -0.007

562 508.00 88.90 5.84 406.00 41.50 200 35 890 1023 0.150 885 -0.005 985 0.107

563 1422.00 82.55 1.40 490.00 41.50 200 34 295 310 0.053 289 -0.018 333 0.131

564 1118.00 82.55 1.40 490.00 41.50 200 34 356 315 -0.114 327 -0.080 369 0.037

565 813.00 82.55 1.40 490.00 41.50 200 34 400 350 -0.126 353 -0.117 413 0.032

566 508.00 82.55 1.40 490.00 41.50 200 34 489 414 -0.154 389 -0.205 476 -0.028

567 580.50 165.00 2.82 363.30 48.30 200 34 1662 1799 0.082 1669 0.005 2193 0.320

568 663.50 190.00 1.94 256.40 41.00 200 30 1678 1650 -0.017 1523 -0.092 1981 0.180

569 664.50 190.00 1.52 306.10 48.30 200 31 1695 1801 0.063 1697 0.002 2205 0.301

570 664.50 190.00 1.13 185.70 41.00 200 32 1377 1393 0.012 1305 -0.052 1635 0.187

571 659.00 190.00 0.86 210.70 41.00 200 32 1350 1367 0.012 1288 -0.046 1599 0.185

572 580.50 165.00 2.82 363.30 80.20 200 35 2295 2377 0.036 2269 -0.011 3034 0.322

573 663.50 190.00 1.94 256.40 74.70 200 35 2592 2477 -0.044 2410 -0.070 3097 0.195

574 663.50 190.00 1.52 306.10 80.20 200 35 2602 2559 -0.016 2541 -0.023 3254 0.251

575 662.50 190.00 1.13 185.70 80.20 200 35 2295 2324 0.013 2363 0.030 2869 0.250

576 663.50 190.00 0.86 210.70 74.70 200 35 2451 2162 -0.118 2202 -0.101 2659 0.085

577 577.50 165.00 2.82 363.30 108.00 208 29 2673 2846 0.065 2789 0.043 3735 0.397

578 660.00 190.00 1.94 256.40 108.00 208 34 3360 3220 -0.042 3277 -0.025 4159 0.238

579 661.50 190.00 1.52 306.10 108.00 199 35 3260 3165 -0.029 3270 0.003 4142 0.271

580 660.00 190.00 1.13 185.70 108.00 199 34 3058 2920 -0.045 3104 0.015 3722 0.217

581 662.00 190.00 0.86 210.70 108.00 168 32 3070 2871 -0.065 3094 0.008 3682 0.199

582 2475.00 165.00 4.70 355.00 33.40 168 34 1058 1351 0.277 1295 0.224 1364 0.289

583 2476.00 165.00 4.70 355.00 33.40 208 34 1037 1351 0.303 1295 0.249 1364 0.315

584 2477.00 165.00 4.70 355.00 10.00 208 32 800 1104 0.380 938 0.172 884 0.105

585 2478.00 165.00 4.70 355.00 10.00 217 35 834 1104 0.323 938 0.124 884 0.060

586 2200.00 110.00 1.90 350.00 33.40 217 35 437 418 -0.044 391 -0.106 421 -0.036

587 2200.00 110.00 1.90 350.00 33.40 217 35 368 418 0.135 391 0.062 421 0.144

588 2200.00 110.00 1.90 350.00 33.40 217 35 355 418 0.176 391 0.101 421 0.186

589 2200.00 110.00 1.90 350.00 33.40 217 35 374 418 0.116 391 0.045 421 0.126

590 2200.00 110.00 1.90 350.00 10.00 217 35 269 304 0.130 265 -0.016 246 -0.085

591 2200.00 110.00 1.90 350.00 10.00 217 35 252 304 0.206 265 0.051 246 -0.024

592 2200.00 110.00 1.90 350.00 10.00 217 35 211 304 0.441 265 0.255 246 0.166

593 2200.00 110.00 1.90 350.00 10.00 217 35 219 304 0.388 265 0.209 246 0.123

594 2000.00 200.00 3.00 303.50 46.80 217 35 1830 1570 -0.142 1804 -0.014 2032 0.110

595 2001.00 200.00 3.00 303.50 46.80 217 35 1806 1569 -0.131 1804 -0.001 2031 0.125

596 2002.00 200.00 3.00 303.50 46.80 201 37 1882 1569 -0.166 1804 -0.041 2031 0.079



597 2003.00 200.00 3.00 303.50 46.80 205 35 2060 1568 -0.239 1804 -0.124 2031 -0.014

598 2004.00 200.00 3.00 303.50 46.80 207 37 2115 1568 -0.259 1804 -0.147 2030 -0.040

599 540.00 108.00 4.00 332.02 40.40 178 35 836 932 0.114 846 0.012 993 0.188

600 445.00 108.00 4.50 409.64 28.60 177 35 970 1081 0.114 996 0.027 1135 0.170

601 485.00 108.00 4.50 409.64 28.60 201 42 1205 1068 -0.114 975 -0.191 1087 -0.098

602 840.00 140.00 5.00 378.28 45.10 205 42 1667 1642 -0.015 1473 -0.117 1752 0.051

603 970.00 108.00 4.50 259.70 32.20 207 42 741 704 -0.050 619 -0.165 694 -0.063

604 2400.00 220.00 10.00 224.22 36.60 178 42 1729 2742 0.586 2479 0.434 2743 0.586

605 2400.00 240.00 12.00 191.79 54.50 177 42 3900 3617 -0.073 3476 -0.109 3920 0.005

606 912.00 152.00 7.00 283.22 42.90 201 46 1693 1867 0.102 1671 -0.013 1930 0.140

607 840.00 140.00 5.50 333.20 42.90 205 46 1380 1589 0.152 1424 0.032 1669 0.209

608 1700.00 164.00 6.00 356.82 31.50 207 46 1634 1746 0.069 1514 -0.073 1712 0.048

609 860.00 95.00 3.50 348.88 26.20 178 46 665 581 -0.127 493 -0.259 554 -0.168

610 1420.00 95.00 3.50 348.88 26.20 177 46 582 504 -0.135 449 -0.229 462 -0.206

611 1050.00 121.00 4.00 311.15 22.20 227 34 703 790 0.124 679 -0.034 750 0.068

612 1050.00 121.00 4.00 317.03 26.50 227 34 852 831 -0.024 722 -0.152 814 -0.044

613 1050.00 121.00 6.00 349.37 22.20 227 26 1007 1142 0.134 949 -0.058 1022 0.014

614 1050.00 121.00 6.00 325.85 26.50 227 26 1089 1122 0.031 940 -0.137 1030 -0.054

615 2220.00 216.00 6.00 391.02 24.10 220 34 2440 2519 0.032 2169 -0.111 2447 0.003

616 2220.00 216.00 6.00 379.26 31.40 220 34 2866 2604 -0.091 2337 -0.184 2682 -0.064

617 2220.00 216.00 4.00 289.39 24.10 220 34 1869 1588 -0.150 1506 -0.194 1697 -0.092

618 2220.00 216.00 4.00 287.14 31.40 220 34 2262 1711 -0.244 1715 -0.242 1946 -0.140

619 1679.00 153.00 3.20 413.56 21.80 220 26 902 1029 0.141 916 0.015 1023 0.134

620 1530.00 101.00 3.40 602.70 32.20 220 26 803 809 0.008 684 -0.148 756 -0.058

621 1048.00 121.00 4.80 449.82 33.90 220 26 1147 1256 0.095 1058 -0.077 1224 0.067

622 1048.00 121.00 4.80 449.82 29.10 220 26 1078 1222 0.134 1018 -0.055 1161 0.077

623 1048.00 121.00 4.80 449.82 25.60 207 37 941 1195 0.270 990 0.052 1113 0.183

624 4200.00 318.50 6.90 301.84 47.00 207 37 5495 4306 -0.216 4827 -0.122 5280 -0.039

625 5000.00 500.00 11.00 253.20 47.00 207 37 12838 10988 -0.144 11838 -0.078 13440 0.047

626 5000.00 500.00 11.00 235.20 43.70 207 37 11838 10363 -0.125 11068 -0.065 12492 0.055

627 1670.00 210.00 2.50 235.20 27.70 207 37 1323 1255 -0.051 1287 -0.027 1457 0.101

628 756.00 108.00 4.00 337.61 36.30 200 35 785 846 0.078 748 -0.047 865 0.102

629 972.00 108.00 4.00 337.61 34.50 200 33 737 782 0.060 683 -0.073 786 0.066

630 1404.00 108.00 4.00 332.02 34.10 200 33 686 689 0.005 635 -0.074 683 -0.005

631 1620.00 108.00 4.00 351.23 34.10 200 36 637 686 0.078 631 -0.009 666 0.046

632 840.00 140.00 5.00 378.28 23.10 200 33 1284 1390 0.083 1227 -0.044 1343 0.046

633 840.00 140.00 5.00 378.28 31.60 200 35 1392 1495 0.074 1321 -0.051 1508 0.084

634 840.00 140.00 5.00 378.28 45.10 200 38 1686 1642 -0.026 1473 -0.126 1752 0.040

635 840.00 140.00 5.00 178.28 51.00 200 36 1705 1175 -0.311 1115 -0.346 1306 -0.234

636 600.00 100.00 2.50 244.02 43.40 200 36 686 544 -0.206 519 -0.244 615 -0.104

637 900.00 100.00 2.00 236.18 43.40 200 33 587 414 -0.295 438 -0.253 500 -0.148

638 600.00 100.00 2.00 236.18 36.70 200 32 559 451 -0.193 432 -0.226 509 -0.090

639 600.00 100.00 2.00 236.18 36.70 200 32 513 451 -0.120 432 -0.156 509 -0.008



640 1080.00 100.00 4.50 259.70 28.10 200 31 744 586 -0.212 504 -0.323 550 -0.260

641 1080.00 106.00 3.50 259.70 28.10 200 32 560 543 -0.029 486 -0.131 543 -0.030

642 1080.00 104.00 2.50 259.70 28.10 200 31 433 424 -0.021 401 -0.075 450 0.039

643 1188.00 108.00 4.00 327.12 35.00 200 32 686 723 0.054 649 -0.054 727 0.060

644 690.00 169.00 7.50 360.00 70.80 200 31 3080 3320 0.078 3032 -0.016 3897 0.265

645 690.00 169.00 7.50 360.00 70.80 200 33 4190 3320 -0.208 3032 -0.276 3897 -0.070

646 1768.00 169.00 7.50 360.00 70.80 200 31 2870 2512 -0.125 2468 -0.140 2852 -0.006

647 1555.00 76.00 2.00 275.00 41.60 200 33 355 238 -0.330 221 -0.377 237 -0.333

648 1556.00 76.00 2.00 275.00 41.60 200 31 330 238 -0.279 221 -0.330 237 -0.282

649 1000.00 219.00 6.00 325.00 58.00 200 33 2989 3776 0.263 3537 0.183 4431 0.482

650 1000.00 219.00 4.00 325.00 47.60 200 34 1931 2889 0.496 2743 0.421 3425 0.774

651 1000.00 219.00 4.00 325.00 52.30 200 33 1980 3025 0.528 2892 0.461 3628 0.832

652 990.00 219.00 7.00 273.00 38.20 200 32 3278 3166 -0.034 2913 -0.111 3483 0.063

653 990.00 219.00 7.00 273.00 38.20 200 37 3278 3166 -0.034 2913 -0.111 3483 0.063

654 990.00 219.00 7.00 273.00 38.20 200 37 3278 3166 -0.034 2913 -0.111 3483 0.063

655 1200.00 219.00 7.00 273.00 38.20 200 36 3200 3038 -0.051 2790 -0.128 3267 0.021

656 1200.00 219.00 7.00 273.00 38.20 200 32 3200 3038 -0.051 2790 -0.128 3267 0.021

657 1200.00 219.00 7.00 273.00 38.20 200 34 3200 3038 -0.051 2790 -0.128 3267 0.021

658 1420.00 219.00 7.00 273.00 38.20 200 34 3070 2912 -0.052 2670 -0.130 3110 0.013

659 1420.00 219.00 7.00 273.00 38.20 200 34 3070 2912 -0.052 2670 -0.130 3110 0.013

660 1420.00 219.00 7.00 273.00 38.20 200 34 3070 2912 -0.052 2670 -0.130 3110 0.013

661 1640.00 219.00 7.00 273.00 38.20 200 31 2956 2795 -0.055 2569 -0.131 2983 0.009

662 1640.00 219.00 7.00 273.00 38.20 200 33 2956 2795 -0.055 2569 -0.131 2983 0.009

663 1640.00 219.00 7.00 273.00 38.20 200 36 2956 2795 -0.055 2569 -0.131 2983 0.009

-----------------------------------------------------------------------------------------------------------------------------

Standard deviation: 0.1386 0.1306 0.1846

Average error: 0.0176 -0.0607 0.1018

Maximum error: 0.5858 0.5905 0.8325

Minimum error: -0.4145 -0.4544 -0.3684

=============================================================================================================================

TABLE II

VALIDATION OF THE CURRENT STATISTICAL METHOD

UL prediction of experiments [21] by the current methods and the EC4 and the CECS methods

(Nt=test data; Nc=UL calculated using current method; Nec4=UL calculated using the EC4 method; Nce=UL calculated using the CECS method)

=============================================================================================================================

L(mm) D(mm) t(mm) fa(MPa) fc(MPA) Ea(GPa) Ec(GPa) Nt(KN) Nc(KN) Nc/Nt-1 Nec4 Nec4/Nt-1 Nce Nce/Nt-1

-----------------------------------------------------------------------------------------------------------------------------

324.00 108.00 4.00 336.00 44.00 200 36 1175 1051 -0.106 969 -0.175 1174 -0.001

1296.00 108.00 4.00 336.00 44.00 200 36 774 750 -0.032 715 -0.076 792 0.023

1944.00 108.00 4.00 336.00 44.00 200 36 735 678 -0.077 620 -0.156 669 -0.090

============================================================================================================================

A Statistical Method for Predicting the Axial Load Capacity of

Documents