PB 161570

jBoulder laboratories

91c. 69

LOW- AND VERY LOW- RADIOFREQUENCY

MODEL IONOSPHERE

REFLECTION COEFFICIENTS

BY J. R. JOHLER, L. C. WALTERS,

AND J. D. HARPER, JR.

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS
THE NATIONAL BUREAU OF STANDARDS

Functions and Activities

The functions of the National Bureau of Standards are set forth in the Act of Congress,

3, 1901, as amended by Congress in Public Law 619, 1950. These include the development and

maintenance of the national standards of measurement and the provision of means and methods for making measurements consistent with these standards: the determination of physical constants and

properties of materials; the development of methods and instruments for testing materials, devices.

and structures; advisory services to government agencies on scientific and technical problems: in- vention and development of devices to serve special needs of the Government: and the development

of standard practices, codes, and specifications. The work includes basic and applied research,

development, engineering, instrumentation, testing, evaluation, calibration services, and various

consultation and information services. Research projects are also performed for other government

agencies when the work relates to and supplements the basic program of the Bureau or when the Bureau's unique competence is required. The scope of activities is suggested by the listing of

divisions and sections on the inside of the back cover.

Publications

The results of the Bureau's work take the form of either actual equipment and devices or published papers. These papers appear either in the Bureau's own series of publications or in the journals

of professional and scientific societies. The Bureau itself publishes three periodicals available from

the Government Printing Office: The Journal of Research, published in four separate sections,

presents complete scientific and technical papers: the Technical News Bulletin presents summary

and preliminary reports on work in progress: and Basic Radio Propagation Predictions pro\ides

data for determining the best frequencies to use for radio communications throughout the world.

There are also five series of nonperiodical publications: Monographs. Applied Mathematics Series,

Handbooks. Miscellaneous Publications, and Technical Notes. Information on the Bureau's publications can be found in ]N BS Circular 460, Publications of the National Bureau of Standards (§1.25) and its Supplement (-$1.50), available from the Superintendent

of Documents. Government Printing Office, Washington 25, D.C.
NATIONAL BUREAU OF STANDARDS

technical *Vi©te

No. 69

LOW- AND VERY LOW-RADIOFREQUENCY MODEL

IONOSPHERE REFLECTION COEFFICIENTS

by

J. R. Johler

L. C. Walters

J. D. Harper, Jr#

July 1, I960

NBS Technical Notes are designed to supplement the Bureau's regular publications program. They provide a means for making available scientific data that are of transient or limited interest. Technical Notes may be

listed or referred to in the open literature. They are for sale by the Office of Technical Services, U. S. Department of Commerce, Washington 25, D. C.

DISTRIBUTED BY

UNITED STATES DEPARTMENT OF COMMERCE

OFFICE OF TECHNICAL SERVICES

WASHINGTON 25, D. C

Price $2,00

CONTENTS

Pa

g

e

Abstract ^,.,, 1

Preface 1-3

List of Figure s 4-5

Figures. . 6-37

List of Tables ....'. 3 8-44

Tables 45-135

LOW- AND VERY LOW-RADIOFREQUENCY MODEL

IONOSPHERE REFLECTION COEFFICIENTS

by

J. R. Johler

L. C. Walters

J. D. Harper, Jr.

ABSTRACT

The results of extensive computations performed during the

course of a theoretical investigation of a sharply bounded model

ionosphere for low- and very low-radiofrequency wave propagation

are presented in the form of graphs and tables.

PREFACE

Graphs and tables heretofore unpublished have been developed

at low- and very low-radiofrequencies during the course of a

theoretical investigation of a sharply bounded model ionosphere

with superposed magnetic induction.

The reflection coefficients are specified by the angle of

incidence, Fig. 1, (j>., the electron density N(el/cm ), the earth*s

magnetic field intensity H (gauss), the magnetic inclination or

dip I (reckoned from the horizontal, Fig. 1), the magnetic azimuth

(j> , reckoned clockwise from magnetic north, Fig. 1, and the

collision frequency v, c/s.

T J. R. Johler and L. C. Walters, On the theory of reflection of

low- and very low-radiofrequency waves from the ionosphere,

Jour, of Res. of the National Bureau of Standards, Vol. 64D,

No. 3, May-June I960, pp. 269-285.
-2-

The propagation below the ionosphere (i.e. waves traveling

from the ionosphere into the negative Z region, Fig. 1, assuming

the x-y plane as the boundary) is defined by four reflection

coefficients T , T , T , T , which relate the reflected

ee em me mm

radiation to the primary or incident radiation. The reflection

coefficient T refers to the vertical electric polarization of the ee

incident plane wave and a similar vertical electric polarization of

the reflected wave. The coefficient T describes the generation em &

of the abnormal component by the incident vertical polarization

(vertical electric-magnetic coupling). Similarly, T refers to

the incident horizontal electric polarization and the corresponding

reflected horizontal electric polarization. The abnormal

component generated by horizontal electric polarization (vertical

magnetic-electric coupling) is described by the coefficient T . The reflection coefficients are therefore defined, Fig. 1,

E . E

y

8 r T _ y'r ee E .. * me E ,. * y*i x'l

iti x r rp — x^r

em E ,,

9 mm E ,. y'i x'l

where the subscripts i and r refer to incident and reflected wave

respectively. Detailed formulas for these reflection coefficients
-3-

have been presented .

Figs. 1-25 illustrate the effect of the magnetic azimuth, <j> , ot

i. e. the direction of propagation relative to the direction of the

earth's magnetic field on the reflection coefficient.

The Q-L approximation theory was discussed in detail in the

t

previous paper and computations based on this theory are

illustrated Figs. 26-31, Tables 74-88'*.

tt Tables 1-19 are tabulated as a function of frequency, f. Tables

20-53 are tabulated both as a function of frequency, f, and magnetic

azimuth, <J> «,

tt

The integer to the right of each table entry, if present, indicates

the power of the factor ten (10) by which the entry is to be

multiplied, thus, 6.4307-1= 0. 64307*
-4-

LIST OF FIGURES

Page

Fig. 1 Coordinate systems. 6

Figs. 2-26 Model ionosphere reflection coefficients

(<b = to 360°). a

3

H , I, m'

Fig. N, el/ cm v, c/s degrees gauss degrees f, kc

2 10

3

2(10

7

) 82 0.5

3

4 45

5

6 84. 27

7

8 3(I0

3

)

9

10 45

11

12 84. 27

13

14 1.2(10

3

) 10

6 80.397

15

16

17

18

19 45

10 7

20 8

10 9

20 10

10 11

20 12

10 13

20 14

10 15

20 16

10 17

20 18

10 19

20 20

40 21

100 22

135 23

20 24
-5-

Pase

Fig. N, el/ cm v, c/s degrees

Hm, gaussI,degrees f, kc

20 40 25

21 135 26

22 84.27 10 27

23 20 28

24 1.2(10

3

) 10

6 80.397 0.5 84.27 40 29

25 100 30

26 135 31

Figs. 27-32 Model ionosphere reflection coefficients

evaluated with the aid of the Q-L approximation.

Fig. <j>.» degrees

27 0-90

28

29 5-75

30

31

32

t(> , degrees co/w / r

0.3002

T

10,60 All 32

0.467 All 33

60 0.01-10 T

ee

34

Tmm 35

Tem 36

T 37

me
-6-

Y

Fig. 1 - Coordinate systems.
-7-

80 120 160 200 240 280

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

320 360

Fig. 2 - Model ionosphere reflection coefficients. N = 10 , v = 2 (10 7

), <j>. = 82°, H = 0. 5, I = 0, f = 10 kc.
-8-

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (j) Q

, DEGREES

Fig. 3 - Model ionosphere reflection coefficients. N = 10 , v = 2 (10'), <f>. = 82°, Hm

= 0. 5, I = 0, f = 20 kc.
-9-

- 6

- 5

- 4

GO

<r

en

2 ?

CO

-

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

Fig. 4 - Model ionosphere reflection coefficients. N = 10 , v = 2 (10 7

), <f>. = 82°, H = 0. 5, I a 45°, f = 10 kc. m
-10-

- 6

- 5

- 4

or

eno

CO

-

--2

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (£ Ql DEGREES

Fig. 5 - Model ionosphere reflection coefficients. N = 10 , v = 2 (10 7

), $ = 82°, H = 0. 5, I = 45°, f = 20 kc.
-11-

1.0

0.9 -

0.8 -

0.7 _ 0.6

S 0.5

ID

K;

—I_

1 0.4

0.3 -

0.2

i r /

| T mm|

/

|T,ee org Te argT,em

argT,me

org t.mm

Teml

/

|T,me ^n.

ce

2 ?

o

CO

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (£ Q| DEGREES

Fig. 6 - Model ionosphere reflection coefficients. N = 10 , v = 2 (10 7

), (j>. = 82°, H = 0. 5, I = 84. 270°, f = 10 kc, m
-12-

0.9

0.7 [ — 0.6

i—

S 0.5

I—

I Q_1 0.4

0.3

0.2

0.1

i r

org T,mm

/

mm

org T,ee

Mmel

l T

eel

org!em

Item

•argTme

J L I I i i

<C

o

-2

40 120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (£ Q

, DEGREES

Fig. 7 - Model ionosphere reflection coefficients. N = 10 , v = 2 ( 10 7

), <f>.

' = 82°, H = 0. 5, I = 84. 270°, f = 20 kc.
-13-

0.9 -

0.2 -

0.1

mm

Mem I or Mme

40

-3

120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (j) Q

, DEGREES

Fig. 8 - Model ionosphere reflection coefficients. N= 3(10 ), v = 2(10 7

), d>. = 82°, H = 0. 5, I = 0, f = 10 kc.
-14-

1.0

0.9

0.8

0.7

0.6 =

S 0.5 -

M. 0.4

0.3 -

0.2 -

0.1 -

= 6

CO

2 o,o

CO

-

--I

--2

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (j) Q

, DEGREES

Fig. 9 - Model ionosphere reflection coefficients. N= 3(10 ), 10 7 v = 2( ), <|>. = 82°, H = 0. 5, I = 0, f = 20 kc. m
15-

0.9

0.8 -

0.7 -

06

q 0.5 -

Q_

1 0.4

0.3

0.2

mm

- 5

|T,me

'em

J L

3 5en

2 p

CO

<r

-

--2

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (j) Q

, DEGREES

Fig. 10 - Model ionosphere reflection coefficients. N= 3(10 ), v = 2(107

), <)>. = 82°, H = 0. 5, 1= 45°, f = 10 kc. m
16-

1.0

0.9

0.8

0.7 _ 0.6

i—

o" 0.5

_l

Q_

i 0.4

0.3

0.2

mm

- 5 arg Tp

arg Tme

arg Tmm

'me

'em

- 2

o

<r

o

CO

-

-2

40 80 120 160 200 240 280

MAGNETIC AZIMUTH, (£ Ql DEGREES

320 360

Fig. 11 - Model ionosphere reflection coefficients. N= 3(10 ), v = 2(107

), <j>. = 82°, H = 0. 5, I = 45 , f = 20 kc. " Ti m
-17-

I.U

0.9

1 1 1 1 1 1 1 1 N^ —

| T mm|

0.8 —

. a^ Tee

0.7 — / y

ar 5 Tern

1 —

0.6

0.5

0.4

w "7

F--

\

-

1— _____/

LlI O

ZD

1—

1

IT

1 'ee /1 /"

ar 9 Tme

ar9 Tmm

-

0.3 -

0.2 -

0.1

n ^

Mmel Mem 1 — II

- 6

- 5

- 4

ca

2 -

<r

-

40 80 120 160 200 240 280 320 36 n MAGNETIC AZIMUTH, (j) Q

, DEGREES

Fig. 12 - Model ionosphere reflection coefficients. N = 3(10 ), v = 2(107

), <j>. = 82°, H = 0. 5, I = 84. 270°, f = 10 kc.

l

' m
-18-

0.9

0.8 -

0.7 -

0.6

o 0.5

i—

I Q_i 0.4

0.3

0.2

40

/

mm

org T.ee

'ee org T,em Norg Imm X

argT

me

/

'em 'me

J L

3 Q

\—

2 O

1

UJ

CO

-3

120 160 200 240 280 320 360

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

Fig. 13 - Model ionosphere reflection coefficients. N= 3(10 ), v = 2(107

), <j>i = 82°, H = 0. 5, I = 84. 270°, f = 20 kc.

l m
19-

1.0

0.9 -

0.8

0.7

0.6 =

S 0.5

Q_

1 0.4

0.3 -

0.2 -

0.1 -

- 6

- 4

O

U~>

40 80 120 160 200 240 280

MAGNETIC AZIMUTH, (j) Q

, DEGREES

--2

320 360

Fig. 14 - Model ionosphere reflection coefficients. N = 1. 2(10 ) , v = 106

, <{). = 80. 397°, Hm

= 0. 5, 1= , f = 10 kc.
• 20-

0.2

0.1

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

Fig. 15 - 3 Modellonosphere reflection coefficients. N= 1.2(10 ), v = 10 b

, <|>. = 80. 397°, H = 0. 5, I = 0, f = 20 kc.

l m
-21-

1.0

0.9 -

0.8 -

0.7 _ 0.6

i—

g 0.5

_l

Q.

i 0.4

0.3 -

0.2 -

0*1 -

CE

2 o>O

-

--2

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

Fig. 16 - Model /ionosphere reflection coefficients. N= 1.2(10 ), v = 10 , d>. = 80. 397°, H = 0. 5, I = 0, f = 40 kc.

i m
• 22-

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (j) Qt DEGREES

Fig. 17 - Model/ionosphere reflection coefficients. N= 1.2(10 ), v = 10, <\>. = 80. 397°, H = 0. 5, I = 0, f = 100 kc.

l m
-23-

1.0

0.9 -

0.8 -

0.7 - _ 0.6

S 0.5 -

Q_^ 0.4

0.3 -

0.2

0.1 -

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH,

(f) Ql DEGREES

Fig. 18 - Model/ionosphere reflection coefficients. N = 1. 2(10 ), v = 10 , <b. = 80. 397°, H = 0. 5, I = 0, f = 135 kc.

l m
24-

0.9

0.7 -

0.6

S 0.5

^>[—1j

Q_i 0.4

0.3 -

0.2 -

- 5

- 4

o

en

2 ^

CO

-

--2

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

Fig. 19 - Model/ionosphere reflection coefficients. N= 1.2(10 ), v = 10, <j>. x = 80. 397°, H = 0. 5, I = 45, f = 20 kc.

i m
-25-

1.0

0.9 -

0.8 -

0.7 - _ 0.6

S 0.5 -

^ 0.4

0.3

0.2 -

0.1 -

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

Fig. 20 - Model/ionosphere reflection coefficients. N= 1.2(10 ), v = 10 , (j>. = 80. 397°, H = 0. 5, I = 45 , f = 40 kc.

l m
-26-

1.0

0.9 -

0.8 -

0.7

0.6

S 0.5

1 0.4

0.3

0.2 -

0.1 -

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH, (j) Q

, DEGREES

Fig. 21 - Model/ionosphere reflection coefficients. N= 1.2(10 ), v = 10, <j>. = 80. 397°, H = 0. 5, I = 45°, f = 135 kc.

l m
-27

0.9 -

0.8

0.7 — 0.6

i—

£ 0.5

^>

t—-j

Q_^ 0.4

0.3

0.2

0.1

40

mm

org T,ee argT

me

<W Tmm

° rg Tem

|Tmel

Mem I

- 6

MAGNETIC AZIMUTH, (jfc Q

, DEGREES

3 O

h-

"

2 enO

^

1

LU

CO

<r

-

-3 120 160 200 240 280 320 360

Fig. 22 - Model/ionosphere reflection coefficients. N= 1.2(10 ), v = 10 , d>. = 80. 397°, H = 0. 5, I = 84. 270°, f = 10 kc,

l m
28-

1.0

0.9

0.8

0.7 _ 0.6

i—

S 0.5

_)

Q_

1 0.4

0.3

0.2

mm

org Te

1

O

DC

O

<J~>

-2

40 80 120 160 200 240 280 320 360

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

Fig. 23 - Model/ionosphere reflection coefficients. N= 1.2(10 ), v = 10 , <j>. = 80. 397°, H = 0. 5, I = 84. 270°, f = 20 kc.

l m
-29-

0.9 -

0.8 -

0.7 _ 0.6

i—

S 0.5

IDh-

_)

Q_

i 0.4

0.3

0.2 »

0.1

T mm|

org Tmm

1 1 1

40 80 120 160 200 240 280

MAGNETIC AZIMUTH,

(f) Q

, DEGREES

I

2 £

<r

-

320 360

Fig. 24 - Model/ionosphere reflection coefficients. N= 1.2(10 ), v = 10 , <(>. = 80. 397°, H = 0. 5, I = 84. 270°, f = 40 kc.

l m
-30.

80 120 160 200 240 280

MAGNETIC AZIMUTH, (£ Q

, DEGREES

320 360

Fig. 25 - Model/ionosphere reflection coefficients. N= 1.2(10 ), v = 10 , <}>. = 80. 397°, H = 0. 5, I = 84. 270°, f = 100 kc.
-31-

- 6

- 5

en

2 o,o

CO

<r

-

120 160 200 240 280

MAGNETIC AZIMUTH, (j) Q

, DEGREES

--2

320 360

Fig. 26 - Model /ionosphere reflection coefficients. N= 1.2(10 ), v= 10 , <|). T = 80.397°, H = 0. 5, 1= 84.270°, f= 135 kc,

i

' m
-32-

E

£

h0.5

0.5

CD£

h0.5

<f) i = eo <

^, = 60*

£

cu

CD

cd 0.5

(/>,= IO<

<£, = IO<

£

£

3 H

D

2

-0.1 t=

-0.2 £

-0.3 H

-0- 4 ^o «en

0.2

0.1

I £

H

-0.1 ?

o

6

CD

CD

4 ff

O

10 20 30 40 50 60 70 80 90

<£ jf DEGREES

Fig. 27 - Model ionosphere reflection coefficients evaluated with the

aid of the Q-L, approximation, amplitude, | T| , and phase,

arg T, as a function of angle of incidence, cf>., for various

values of the earth's magnetic intensity parameter, <}>.,

co/co = 0.3002.

' r
-33-

10 20 30 40 50 60 70

<fr f DEGREES

80 90

Fig. 28 - Model ionosphere reflection coefficients evaluated with the

aid of the Q-L approximation, amplitude, | T J, and phase,

arg T, as a function of angle of incidence, §., for various

values of the earth's magnetic intensity parameter, <)>-, w/u = 0.467.
-34-

SNviavd tea1 6jd

CO LO ro C\J

11/ ' II

88 1

CO

•au

(1) ^

^ £ - o

Xo

u

a,

Oh

a

rt o o

+-> c

5: w> 2

<D DC

0) c

rt

m 00

II

mh a, nj vo S* >

O ~.rH

a) o c

S3 3 &

ftU 3 m

O S M £

c rt

<u „ ^ « « +3

<D ° 5 G

O rt £ rt s s is
-35-

SNvmva * aiLU

_L &JD

ro CNJ

i ;

/ / / o o o

'' '/ \ '/ V °

'i, // mm

in/;

Hi'

•Hi

Si

J'

.' i

1

o — &>

b I" o

CD "

n -Go o o o o

ii roirxoh3

3

oo CO C\J

CO

aiuu1

03

i ^ 0) a ^ S

o 8^

0) P

o

a

0)

TO -rH n °

T3V^ r P H

X ro .3

C > i! « a .**

3 ° £ ft P o

II cd CO i-H " s -eS ^ ^

H ro* <D

r-H t-1(1) £~~°

H •> m §ro

•IK'S O C ^ s-i

fl ro H ^ CU)

<u ° 5 c

T3 +3 JO 00 O «J iJ «J 2 S &£

o

CO

00

•iH
36.

SNviava 'ji-^^BjD

CNJ

I

IDLOLOLO * rOLOCDI^- ,'/

to — °* O t o

CD

ii

1 -& 1

1

1

•|H xi

><! +j

O >>£

u o TM a C «

9<

(1)

id

i M « a

*-> NH

•+-i o rrt

^ -lH X rt ° 4-> •H C

CO -H

-o

13

IS

<U M

^S

> M

^ S

rt •£ 3 S 0) \^ <u CO

-rH rt m • >0 >*-!

0) T? ?

o C ^ II o rt CD - c . s -e- o- o

•I-l u aJrt a)

a) r—

1

_H >S

og h »<« TM

CU *h

<u T5 - nj

Vh 3 *&,

<u •»-> 3

a

oo

rt

«j o

•rH -~ «> £

1—1 8§S TJ £ TM 60 O rt b rt S £ a£

ro CNJ

ais 1

ci

•lH fa
37

SNVIQVd ^1-9UJ±Eud

lug

III*

1111/ mil

mi.

tin Al1 Jill

III

i: Vi

«

w

w

«

Mi

CD ~

1

1

arg

T

3

3

CO

' "a

•rH +-> X u o >n rt U CJ CO ft G fl,

h-I CU cu a^ « ^ rH ^ °^

n, U A

2 c <u *^ <+H •!-! £* s

> CO o .°

iS

nJ ^

£ bo

> ?>

ti <D ° 2 » ffl

O fj * H o rt co _

O -H „

rt <D ^ ^

CJ 6? «

r-H M CD m rH r<

CD O fi *h «**-« nj

3 3 P*

a;

CD rrj rH

cd ^ ftU 3

CO {h u1} S

rt « o

O d £ rt 8 Ph 6

8UIi

COM• rH
-38-

LIST OF TABLES

Tables 1-19 Tables of rigorous reflection coefficients for

the model ionosphere (f = 0. 1 - 3000 kc).

* ^i* 3

H

m' *a' *' Table degrees N, el/cm v, c/s gauss degrees degrees Page

la 50.84 870 4(10

6

) 0.5 60 45

lb 46

2a 75.08 47

2b 48

3a 80.39 49

3b 50

4a 81.37 51

4b 52

5a 81.79 53

5b 54

6a 43.25 1200 10

6

55

6b 56

7a 71.13 57

7b 58

8a 78. 17 59

8b 60

9a 79.64 61

9b 62

?r

The notation in the table number a refers to the coefficients T , T , and b refers to the coefficients T and T em mm me
-39-

* *i* 3

H

m' *a* l* Table degrees N, el/cm v, c/s gauss degrees degrees Page

10a

10b

11a

lib

12a

12b

13a

13b

14a

14b

15a

15b

16a

16b

17a

17b

18a

18b

19a

19b

80.40

75.08 870 4(10

6

)

0.2

0.4

0. 8

1.0

0.5

45

180

60

90

60

225

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82
-40-

ojq rO •"t

1 in vO t- 00 cr- 00 00

in

co

1

00 00

inco

r-H

I

00 00 oo

o o o

-e- tj

o

ro

I O

o

CO

I O

0}u

M

m

rM

oo o

o^

in

s

0>

m

o

CO

OJ00

o

COo

00

COo

00

oo vO sD

I o

COo

CO CO o

cxj

4)

o

CVS f\S <M CO <tf m sO

fM IM rvj rM c\J

V « O m

fi a> o *

-2 2

c o •2~ 3 ° .S3

•t-> £

00

(1) o

Go

Si

• l-< M

O

4) -C
-41-

n

w

<u4)

fc

«* w

rt 0) -©- 'd

o

o

fM co <* ITI nO r- 00 o O O a* o^ O^

in o o

rg o co fM fM p-H

I m 1 o o o

ID o «

in so

00 fM

fM

00 o m in in

m

fM00

coo

00

o

vO

fM

CO ao

I—

(0m

coO

co

CO

m

o

m a)

i—

fM

00

fM fM O

co co

fM CO ^ in vO

ro ro ro ro ro
-42-

0)

ft

u

o

o O

COO o

ino o o

00o o

ITI ro

I O

in

<u

0)M

* W)

O

ro

I O

CO

<D

<UM

bo m

<u ^ t3 o

K

to

bJO

CO

<vu

oil

<u ooo

o

in

ro 6o

I—

I

o

in o O o o

fM m o o i—

«

ro

in o

co

oo

ro O

^

ro •*^

m
-43-

vM

a.

tM m in sO oo o o

I o

W

4)

(1) M

m Oj0| o

m

I O

u

(1) o m

oo o

00 o0^

X

to01d

m

o

a

0) O

CO CO

o

m

r-o

rq

o

m

o

o

o

o

CO

*

3

b-^

00 o

m m

rM ro "* in vO r^

in in m m in m
-44-

Tables 58-72 Q-L approximation tables.

Table T

<{>., degrees w/u)

' r

0.3002

4, degrees

10,20,30

Page

58 T , ee Tmm 5-85 121

59 40, 50,60 122

60 T , em

T

me 10,20,30 123

61 40, 50,60 124

62 T , eeTmm 0.467 10,20,30 1^5

63 40, 50,60 126

64 T , em T

me 10,20,30 127

65 40, 50,60 128

66 T , ee Tmm 5, 15,25 0. 01-5 129

6? 35,45, 55 13G

68 65,75, 85 131

69 T em T

me 5, 15, 25 132

70 35,45, 55 133

71 6 5,75,85 134

72 T , ee T mm

T

5-85 0. 1501,

0. 2335

60 135
-45-

Table la

f,kc

o.i

0.2 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

K arg

T arg

9.1879 - 6.1974 4.2564 - 2 3.8556

8.8715 - 6.1612 5.8445

— 2 3.8260

7.6558 - 6.0041 1.1539 - 1 3.7002

6.8624 - 5.8815 1.4864 - 1 3.6052

5.5498 - 5.6246 1.9526 - 1 3.4153

4.5990 - 5.3695 2.2041

— 1 3.2367

4.4262

— 5.3133 2.2394 - 1 3.1985

4.2705 - 5.2593 2.2678 - 1 3.1621

3.7745 - 5.0601 2.3335 - 1 3.0300

3.0338 - 4.6407 2.3255 - 1 2.7581

2.8041 - 4.4602 2.2792 - 1 2.6406

2.4827 - 4.1415 2.1488 - 1 2.4268

2.2594 - 3.8675 1.9890 - 1 2.2327

2.0804 - 3.6303 1.8100 - 1 2.0551

1.9233 - 3.4269 1.6219 - 1 1.8968

1.7839 - 3.2552 1.4395 - 1 1.7616 1 • 6640 - 3.1105 1.2753 — 1 1.6488

1.5631

— 2.9865 1.1341

_ 1 1.5543

1.4780 - 2.8778 1.0145 - 1 1.4733

1.4053 - 2.7805 9.1307 - 2 1.4023

1.3418 - 2.6918 8.2645 - 2 1.3387

1.2853 - 2.6098 7.5174 - 2 1.2807

1.1873 - 2.4615 6.2953 - 2 1.1776

1.1028 - 2.3291 5.3376 - 2 1.0877

1.0276 - 2.2089 4.5677 - 2 1.0081 8 • 6684 - 2 1.9487 3.1841 - 2 8.4722 - 1 7.3465 - 2 1.7320 2.2882 - 2 7.3421 - 1 6.2498 - 2 1.5486 1.6899 - 2 6.6479 - 1 5.3417 - 2 1.3916 1.2857 - 2 6.3439 - 1 4.5913 - 2 1.2559 1.0118 - 2 6.3650 - 1 3.9712 - 2 1.1374 8.2672 - 3 6.6225 - 1 3.0296 - 2 9.3960 - 1 6.1765 - 3 7.4373 - 1 2.3695 - 2 7.7827 - 1 5.2089 - 3 8.1044 - 1 1.8937 - 2 6*4018 - 1 4.7256 - 3 8.3339 - 1 1.5400 - 2 5.1620 - 1 4.4497 — 3 8.1188 - 1

1.2680

_ 2 3.9998 - 1 4.2616 - 3 7.5276 - 1 8.7208 - 3 1.7715 - 1 3.9359 - 3 5.4522 - 1 5.8738 - 3 6.2551 3.4817 - 3 2.5360 - 1 3.7924 - 3 6.1129 2.8381 - 3 6.2206

2.4476 - 3 6.0794 2.1564 - 3 5.9422

1.6883 - 3 6.1376 1.5908 - 3 5.7270

9.2982 - 4 5.5135 - 2 7.7298 - 4 5.4021

6.1453 - 4 1.4986 - 1 4.2347 - 4 5.2352
-46-

Table lb

f, kc

0.1

0.2 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

argT arg

T

9.6680 - 3.1068 4.3596 - 2 3.8795

9.5335 - 3.0918 6.0460 - 2 3.8598

8.9850

_ 3.0247 1.2451

— 3.7755

8.5923 - 2.9706 1.6561 - 3.7112

7.8551 - 2.8539 2.3219 - 3.5800

7.2131 - 2.7342 2.7906

— 3.4525

7.0812 - 2.7074 2.8742

— 3.4245

6.9570 - 2.6813 2.9489 - 3.3976

6.5173 - 2.5836 3.1818 - 3.2978 5 . 6449 - 2.3651 3.4930 - 3.0792

5.2707 - 2.2640 3.5619 - 2.9788

4.5774 - 2.0725 3.5844 - 2.7880

3.9208 - 1.8963 3.4825 - 2.6079

3.2950 - 1.7425 3.2792 - 2.4419

2.7270 - 1.6221 3.0081 - 2.2980

2.2516 - 1.5407 2.7172 - 2.1823

1.8801 - 1.4936 2.4466 - 2.0941

1.5983 - 1.4709 2.2130 - 2.0273

1.3843 - 1.4634 2.0171 - 1.9758

1.2191 - 1.4652 1.8534 - 1.9347

1.0 890 - 1.4725 1.7157 - 1.9008

9.8433 - 2 1.4832 1.5986 - 1.8719

8.2714 - 2 1.5095 1.4105 - 1.8241

7.1523 - 2 1.5388 1.2658 - 1.7846

6.3182 - 2 1.5690 1.1506 - 1.7500

4.9515 - 2 1.6433 9.4240 - 2 1.6761

4.1444 - 2 1.7132 8.0134 - 2 1.6126

3.6306 - 2 1.7763 6.9867 - 2 1.5555

3.2881 -• 2 1.8312 6.2059 - 2 1.5032

3.0531 - 2 1.8773 5.5943 - 2 1.4542

2.8891 - 2 1.9145 5.1052 - 2 1.4075

2.6935 - 2 1.9641 4.3801 - 2 1.3175

2.6042 - 2 1.9838 3.8781 - 2 1.2271

2.5769 - 2 1.9767 3.5169 - 2 1.1319

2.5876 - 2 1.9447 3.2469 - 2 1.0261

2.6191 - 2 1.8887 3.0341 - 2 9.1257 - 1 2.6781 - 2 1.7073 2.6790 - 2 6.3833 - 1 2.6095 - 2 1.4499 2.2912 - 2 3.1217 - 1 2.3323 - 2 1.1674 1.8229 - 2 6.2598

1.9326 - 2 9.1942 - 1 1.3608 - 2 5.9697

1.5467 - 2 7.3076 - 1 9.9133 - 3 5.7473

8.9927 - 3 4.5890 - 1 4.7176 - 3 5.4107

5.7235 - 3 3.3065 - 1 2.5577 - 3 5.2355
-47-

Table 2 a

f, kc

K arg

T arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

130

140

160

180

200

250

300

350

400

450

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

8.1346 - 1 6.0732 4.0328 - 2 3.8095

7.4818 - 1 5.9839 5.4184 - 2 3,7652

6.3803 - 1 5.8004 7.7526 - 2 3.6837

5.4237 - i 5.5818 9.8282

_ 2 3.6004

4.5228 - 1 5.2545 1.1985 - 3.4949

3.8980 - 1 4.6307 1.4440 - 3.3152

4.0270

— 1 4.2015 1.5403

— 3.1705

4.0862 - i 4.1305 1.5503

_ 3.1416

4. 1463 - 1 4.0684 1.5573 - 3.1146

4.3716 - 1 3.8812 1.5653 - 3.0205

4.7666 - 1 3.6191 1.5280 - 2.8410

4.8946 - 1 3.5369 1.5002 - 2.7678

5.0682 - 1 3.4160 1.4429 - 2.6399

5.1740 - 1 3.3274 1.3895 - 2.5277

5.2397 - 1 3.2571 1.3415 - 2.4256

5.2802 - 1 3.1981 1.2986 - 2.3303

5.3039 - 1 3.1467 1.2600 - 2.2402

5.3157 - 1 3.1008 1.2250 - 2.1543

5.3190

_ i 3.0590 1.1930

— 2.0722

5.2964 - 1 2.9497 1.1117 - 1.8448

5.2818 - 1 2.9172 1.0887 - 1.7749

5.2464 - 1 2.8559 1.0485 - 1.6430

5.2056 - 1 2.7988 1.0152 - 1.5207

5.1616 - 1 2.7447 9.8819 - 2 1.4068

5.0445 - 1 2.6182 9.4367 - 2 1.1509

4.9228 - 1 2.4992 9.2332 - 2 9.2455 - 1 4.7966 - 1 2.3839 9.1843 - 2 7.1752 - 1 4.6641 - 1 2.2703 9.2281 - 2 5.2319 - 1 4.5226 - l 2.1573 9.3205 - 2 3.3721 - 1 4.0177 - 1 1.8177 9.5879 - 2 6.0880

3.5958 - 1 1.5935 9.5343 - 2 5.7442

3.1118 - 1 1.3828 9.1627 - 2 5.4130

2.6107 - 1 1.2026 8.5019 - 2 5.1076

2.1573 - 1 1.0660 7.7178

— 2 4.8382

1.5144 - 1 9.1162 - 1 6.3314 - 2 4.3869

1.1666 - 1 8.3872 - 1 5.2806 - 2 3.9777

9.7270 - 2 7.6031 - 1 4.2990 - 2 3.5658

8.2506 - 2 6.4770 - 1 3.2747 - 2 3.1728

6.8629 - 2 5.3072 - 1 2.3480 - 2 2.8466

4.2665 - 2 3.4180 - 1 1.0095 - 2 2.3671

2.8587 - 2 2.5307 - 1 5.0684 - 3 2.1463
-48-

Table 2b

f, kc

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

130

140

160

180

200

250 3 00

350

400

450

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

K arg

T arg

T

9.8625 - 1 3.1269 4.1549 - 2 3.8394

9.8052 - 1 3.1203 5.6520 - 2 3.8074

9.6904 - 1 3.1066 8.2881 - 2 3.7503

9.5589 - 1 3.0903 1.0803 - 1 3.6945

9.3702 - 1 3.0660 1.3704 - 1 3.6277

8.9927 - 1 3.0151 1.7870 - 1 3.5235

8.6471 - 1 2.9649 2.0536 - 1 3.4467

8.5750

_ 1 2.9539 2.1002_ 1 3.4318

8.5068 - 1 2.9433 2.1418 - 1 3.4180

8.2644 - 1 2.9040 2.2735 - 1 3.3702

7.7853 - 1 2.8185 2.4727 - 1 3.2771

7.5833 - 1 2.7796 2.5354 - 1 3.2374

7.2174 - 1 2.7066 2.6191 - 1 3.1651

6.8798 - 1 2.6385 2.6646 - 1 3.0991

6.5573 - 1 2.5748 2.6836 - 1 3.0381

6.2447 - 1 2.5153 2.6830 - 1 2.9813

5.9406 - 1 2.4601 2.6675 - 1 2.9284

5.6457 - 1 2.4094 2.6409 - 1 2.8792

5.3613 - 1 2.3633 2.6060 - 1 2.8336

4.5882 - 1 2.2520 2.4729 - 1 2.7166

4.3610 - 1 2.2233 2.4245 - 1 2.6837

3.9546 - 1 2.1770 2.3282 - 1 2.6259

3.6094 - 1 2.1430 2.2370 - 1 2.5771

3.3189 - 1 2.1186 2.1538 - 1 2.5355

2.7787 - 1 2.0848 1.9848 - 1 2.4530

2.4192 - 1 2.0709 1.8645 - 1 2.3872

2.1684 - 1 2.0642 1.7800 - 1 2.3279

1.9844 - 1 2.0592 1.7204 - 1 2.2697

1.8433 - 1 2.0537 1.6780 - 1 2.2097

1.5579 - 1 2.0315 1.6040 - 1 2.0076

1.4308 - 1 2.0187 1.5653 - 1 1.8519

1.3422 - 1 2.0141 1.5145 - 1 1.6844

1.2970 - 1 2.0137 1.4465 - 1 1.5147

1.2940

_ 1 2.0031 1.3698 - 1 1.3505

1.3624 - 1 1.9079 1.2280 - 1 1.0336

1.4362 - 1 1.7065 1.0993 - 1 6.9708 - 1 1.4222 - 1 1.4276 9.4236 - 2 3.2809 - 1 1.2790 - 1 1.1287 7.4587 - 2 6.2459

1.0604 - 1 8.7183 1 5.5085 - 2 5.9383

6.1210 - 2 4.9907 1 2.4878 - 2 5.4835

3.8517 - 2 3.3772 1 1.2849 - 2 5.2734
-49-

Table 3 a

f, kc

K arg

T 1* arg

T

0.1

0.2

0.5 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250 3 00

350

400

450

500

600

700 8 00

1000

1200

1400

1600

1800

2000

2500

3000

7.2994 - 1 5.9572 3.8262 - 2 3.7685

6.4577 - 1 5.8150 5.0384 - 2 3.7133

5.2146 - 1 5.5153 6.9536

— 2 3.6179

4.4032

_ 1 5.1580 8.5176 - 2 3.5274

4.0415 - 1 4.6846 9.9946 - 2 3.4209

4.4951 - 1 4.0721 1.1449 - 1 3.2543

5.1032 - 1 3.7806 1.1887 - 1 3.1283

5.2171

_ 1 3.7367 1.1916 - 1 3.1037

5.3192 - 1 3.6988 1.1928 - 1 3.0808

5.6382 - 1 3.5866 1.1876 - 1 3.0017

6.0862 - 1 3.4305 1.1493 - 1 2.8528

6.2156 - 1 3.3813 1.1276 - 1 2.7925

6.3836 - 1 3.3083 1.0870 - 1 2.6877

6.4832 - 1 3.2545 1.0522 - 1 2.5962

6.5453 - 1 3.2116 1.0230 - 1 2.5130

6.5847 - 1 3.1755 9.9874 - 2 2.4355

6.6096 - 1 3.1440 9.7851 - 2 2.3622

6.6246 - 1 3.1158 9.6160 - 2 2.2923

6.6328

_ 1 3.0901 9.4743 - 2 2.2253

6.6360 - 1 3.0662 9.3557 - 2 2.1607

6.6354 - 1 3.0438 9.2569 - 2 2.0985

6.6321 - 1 3.0226 9.1750 - 2 2.0385

6.6266 - 1 3.0024 9.1083 - 2 1.9806

6.6112 - 1 2.9643 9.0136 - 2 1.8707

6.5917 - 1 2.9286 8.9629 - 2 1.7681

6.5698 - 1 2.8946 8.9492 - 2 1.6722

6.5101 - 1 2.8148 9.0435 - 2 1.4574

6.4478 - 1 2.7396 9.2752 - 2 1.2711

6.3850 - 1 2.6670 9.6037 - 2 1.1056

6.3218 - 1 2.5958 1.0001 - 1 9.5514 - 1 6.2574 - 1 2.5253 1.0447 - 1 8.1542 - 1 6. 1911 - 1 2.4550 1.0927 - 1 6.8339 - 1 6.0490 - 1 2.3141 1.1951 - 1 4.3399 - 1 5.8886 - 1 2.1714 1.3009 - 1 1.9505 - 1 5.7028 - 1 2.0257 1.4056 - 1 6.2427

5.2211 - 1 1.7232 1.5937 - 1 5.7642

4.5201 - 1 1.4107 1.7060 - 1 5.2570

3.5923 - 1 1.1351 1.6577 - 1 4.7299

2.7740 - 1 9.7021 - 1 1.4614 - 1 4.2414

2.2815 - 1 8.6971 - 1 1.2285 - 1 3.7999

1.9649 - 1 7.5600 - 1 9.8663 - 2 3.3820

1.2683 - 1 4.4633 - 1 4.4261 - 2 2.5792

8.0887 - 2 2.9649 - 1 2.0014 - 2 2.2286
-50-

Table 3b

f, kc

0.1

0.2

0.5 1259

argT ]T ] arg

T

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600 7 00

800

1000

1200

1400

1600

18 00 2000

2500

3000

9.9099 - 1 3.1318 3.9445 - 2 3.7989

9.8716 - 1 3.1273 5.2601 - 2 3.7564

9.7935 - 1 3.1179 7.4439 - 2 3.6859

9.7024 - 1 3.1069 9.3800 - 2 3.6234

9.5702 - 1 3.0907 1.1458 - 1 3.5564

9.3041 - 1 3.0573 1.4225 - l 3.4672

9.0606 - 1 3.0248 1.5929 - 1 3.4110

9.0097 - 1 3.0177 1.6227 - i 3.4008

8.9617 - 1 3.0109 1.6494 - l 3.3915

8.7908 - 1 2.9857 1.7352 - 1 3.3603

8.4527 - 1 2.9310 1.8716 - l 3.3016

8.3098 - 1 2.9062 1.9176 - 1 3.2767

8.0503 - 1 2.8596 1.9843 - 1 3.2313

7.8101 - 1 2.8161 2.0275 - 1 3.1898

7.5796 - 1 2.7754 2.0544 - 1 3.1515

7.3550 - 1 2.7373 2.0693 - 1 3.1159

7.1349 - 1 2.7018 2.0753 - l 3.0830

6.9195 - 1 2.6689 2.0746 - 1 3.0526

6.7093

_ 1 2.6385 2.0689 - i 3.0244

6.5053 - 1 2.6107 2.0595 - 1 2.9984

6.3083 - 1 2.5852 2.0474 - l 2.9743

6. 1190 - 1 2.5620 2.0334 - 1 2.9520

5.9378 - 1 2.5410 2.0182 - 1 2.9314

5.6010 - 1 2.5049 1.9858 - 1 2.8944

5.2987 - 1 2.4757 1.9530 - 1 2.8625

5.0295 - 1 2.4522 1.9214 - l 2.8346

4.4846 - 1 2.4120 1.8530 - 1 2.7778

4.0851 - 1 2.3886 1.8024 - l 2.7327

3.7904 - 1 2.3740 1.7689 - 1 2.6935

3.5702 - 1 2.3634 1.7499 - 1 2.6566

3.4033 - 1 2.3538 1.7429 - l 2.6198

3.2752 - 1 2.3438 1.7457 - 1 2.5818

3.0973 - 1 2.3192 1.7741 - l 2.4986

2.9849 - 1 2.2865 1.8246 - l 2.4033

2.9101 - 1 2.2457 1.8896 - 1 2.2940

2.8165 - 1 2.1435 2.0388 - l 2.0297

2.7555 - 1 2.0241 2.1617 - l 1.7002

2.7435 - 1 1.8957 2.1635 - l 1.3160

2.8042 - 1 1.7281 2.0113 - l 9.2209 - 1 2.8142 - 1 1.4968 1.7756 - 1 5.3567 - 1 2.6583 - 1 1.2249 1.4812 - l 1.5265 - 1 1.7016 - 1 6.4513 1 7.1021 - 2 5.6809

1.0144 - 1 3.9314 1 3.3447 - 2 5.3490
-51-

Table 4a

f, kc ]T arg

K arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

3000

7.0536 - L 5.9188 3.7614 - 2 3.7559

6.1728 - L 5.7585 4.9221 . - 2 3.6978

4.9398 - L 5.4186 6.7201 - 2 3.5991

4.2393 - • L 5.0214 8.1519 - 2 3.5074

4.0834 - : L 4.5320 9.4683 - 2 3.4016

4.7572 - : L 3.9642 1.0713 - 3.2393

5.4131 - : L 3.7069 1.1055 - 3.1180

5.5299

_

L 3.6683 1.1072

— 3.0944

5.6335 - : L 3.6350 1.1075 - 3.0724

5.9520 - ] 3.5362 1.1004 - 2.9967

6.3890 - ] 3.3983 1.0629 - 2.8542

6.5135 - : 3.3547 1.0426 - 2.7966

6.6743 - ] 3.2899 1.0054 - 2.6964

6.7693 - ] 3.2421 9.7402 - 2 2.6089

6.8284 - ] 3.2039 9.4816 - 2 2.5294

6.8661 - ] 3.1718 9.2698 - 2 2.4553

6.8901 - ] 3.1438 9.0966 - 2 2.3851

6.9048 - ] 3.1187 8.9550 - 2 2.3182

6.9130

_ ; 3.0958 8.8394

_ 2 2.2540

6.9166 - : 3.0745 a* 7458 - 2 2.1922

6.9168 - i 3.0546 8.6707 - 2 2.1326

6.9143 - ]I 3.0357 8.6117 - 2 2.0750

6.9100 - ]L 3.0177 8.5668 - 2 2.0195

6.8970 - ]L 2.9837 8.5132 - 2 1.9140

6.8804 - :L 2.9519 8.5002 - 2 1.8154

6.8615 - : L 2.9216 8.5208 - 2 1.7233

6.8100 - : L 2.8504 8.6875 - 2 1.5169

6.7565 - ]L 2.7834 8.9763 - 2 1.3383

6.7029 - ] 2.7187 9.3505 - 2 1.1803

6.6495 - i 2.6554 9.7858 - 2 1.0373

6.5957 - i 2.5927 1.0265 - 9.0530 - 1 6.5410 - : 2.5304 1.0776 - 7.8120 - 1 6.4261 - : 2.4059 1.1860 - 5.4866 - 1 6.2999 - ] 2.2804 1.2986 - 3.2818 - 1 6.1580 - ; L 2.1529 1.4122 - 1.1307 - 1 5 . 9956 - ! 2.0229 1.5240 - 6.1822

5.8071 - ; L 1.8896 1.6314

_ 5.9659

5.3200 - ]L 1.6120 1.8168 - 5.5161

4*6161 - : 1.3273 1.9125 - 5.0308

3.7179 - : L 1.0857 1.8315 - 4.5250

2.9709 - : I 9.4037 1 1.6019 - 4.0549

1.0609 - : L 3.1827 1 2.8762 - 2 2.2753
-52-

Table 4b

f, kc

K arg

T JT argT

0.1

0.2

0.5 1259

10

11

1525

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

3000

9.9189 - 1 3.1327

9.8841 - 1 3.1286

9.8130 - 1 3.1201

9.7299 - 1 3.1101

9.6091 - 1 3.0955

9.3661 - 1 3.0655

9.1440 - 1 3.0364

9.0976

_ 1 3.0301

9.0538 - 1 3.0240

8.8980 - 1 3.0014

8.5895 - 1 2.9524

8.4590 - 1 2.9302

8.2218 - 1 2.8885

8.0019 - 1 2.8496

7.7907 - 1 2.8131

7.5846 - 1 2.7790

7.3823 - 1 2.7472

7.1840 - 1 2.7177

6.9901 - 1 2.6904

6.8014 - 1 2.6653

6.6186 - 1 2.6424

6.4425 - 1 2.6214

6.2734 - 1 2.6024

5.9575 - 1 2.5694

5.6717 - 1 2.5424

5.4153 - 1 2.5205

4.8891 - 1 2.4821

4.4967 - 1 2.4591

4.2036 - 1 2.4444

3.9828 - 1 2.4337

3.8153 - 1 2.4243

3.6873 - 1 2.4148

3.5131 - 1 2.3921

3.4099 - 1 2.3622

3.3501 - 1 2.3243

3.3173 - 1 2.2785

3.3013 - 1 2.2252

3.2913 - 1 2.0979

3.2767 - 1 1.9485

3.2615 - 1 1.7853

3.2596 - 1 1.5910

1.3236 - 1 4.2294 - 1

3.8781 - 2 3 .7864

5.1394 - 2 3 .7410

7.1953 - 2 3 .6673

8.9797 - 2 3 .6038

1.0859 - l 3, 5376

1.3318 - l 3 .4528

1.4824 - 1 3,.4015

1.5088 - i 3 .3924

1.5326 - 1 3 .3842

1.6091 - l 3 ,3565

1.7323 - 1 3,.3048

1.7746 - i 3..2828

1.8367 - l 3..2425

1.8780 - l 3..2056

1.9049 - l 3<.1714

1.9211 - 1 3..1398

1.9294 - l 3..1105

1.9317 - 1 3. 0834

1.9296 - i 3..0584

1.9242 - l 3..0354

1.9164 - 1 3.,0141

1.9068 - l 2i 9944

1.8961 - l 2. 9761

1.8727 - l 2< 9435

1.8485 - l 2. 9153

1.8250 - 1 2, 8907

1.7737 - 1 2. 8404

1.7363 - l 2. 8005

1.7126 - l 2« 7659

1.7010 - 1 2. 7336

1.6997 - 1 2i 7014

1.7070 - 1 2i 6682

1.7424 - 1 2. 5956

1.7987 - 1 2. 5123

1.8698 - l 2i 4168

1.9514 - 1 2. 3084

2.0393 - i 2, 1866

2.2150 - l 1. 9005

2.3383 - 1 1, 5536

2.3112 - l 1, 1590

2.1171 - 1 T, 6195

4.4520 - 2 5. 3924 - 1
-53-

Table 5a

f, kc

o.i

0.2

0.5 1259

]T arg T_

K arg

T

10

1125

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

6.9361 - L 5.8997 3.7298 - 2 3.7497

6.0397 - : L 5.7301 4.8659 - 2 3.6904

4.8214 - 3 L 5.3701 6.6098 - 2 3.5905

4.1828 - ;L 4.9553 7.9804 - 2 3.4981

4.1250 - ]L 4.4636 9.2254 - 2 3.3927

4.8856 - jL 3.9191 1.0380 - 1 3.2325

5.5558 - '.L 3.6764 1.0683 - 1 3.1133

5.6729 - ;L 3.6400 1.0695 - 1 3.0902

5.7765 - :L 3.6086 1.0694 - 1 3.0686

6.5230 - ;L 3.3849 1.0246 - 1 2.8546

6.6449 - ' L 3.3436 1.0049 - 1 2.7982

6.8020 - ;L 3.2823 9.6922 - 2 2.7000

6.8947 - ]L 3.2370 9.3929 - 2 2.6142

6.9524 - :L 3.2008 9.1480 - 2 2.5363

6.9892 - :L 3.1703 8.9490 - 2 2.4636

7.0126 - ;L 3.1437 8.7875 - 2 2.3948

7.0271 - ;I 3.1199 8.6569

— 2 2.3292

7.0354 - ; L 3.0981 8.5517 - 2 2.2662

7.0391 - :L 3.0780 8.4678 - 2 2.2055

7.0395 - : L 3.0591 8.4021 - 2 2.1470

7.0374 - ] L 3.0412 8.3519 - 2 2.0905

7.0334 - : L 3.0241 8.3154 - 2 2.0359

7.0213 - : L 2.9919 8.2774 - 2 1.9323

7.0058 - ] L 2.9616 8.2784 - 2 1.8355

6.9882 - ] L 2.9329 8.3118 - 2 1.7449

6.9399 - ] L 2.8654 8.5051 - 2 1.5422

6.8899 - ] 2.8018 8.8144 - 2 1.3669

6.8400 - : L 2.7404 9.2044 - 2 1.2120

6.7904 - : L 2.6803 9.6522 - 2 1.0721

6.7408 - ]L 2.6210 1.0142 - 1 9.4320 - 1 6.6905 - : L 2.5620 1.0661 - 1 8.2232 - 1 6.5859 - ]L 2.4443 1.1760 - 1 5.9657 - 1 6.4724 - ] L 2.3259 1.2902 - 1 3.8347 - 1 6.3465 - ]L 2.2060 1.4057 - 1 1.7645 - 1 6.2044 — '. L 2.0839 1.5202 - 1 6.2545

6.0421

—

L 1.9591 1.6316

— 1 6.0483

5.6327 - ;L 1.6991 1.8339 - 1 5.6228

5.0487 - : L 1.4259 1.9742 - 1 5.1660

4.2295 - :L 1.1655 1.9732 - 1 4.6745

3.3865 - : t 9.8400 1 1.7849 - 1 4.1919

2.8172 - : I 8.6786 1 1.5142 - 1 3.7532

1.9186 - : L 5.4493 1 7.9269 - 2 2.8029

1.2076 - ] L 3.3145 1 3.4272 - 2 2.3047
-54-

Table 5b

f, kc

0.1

0.2

0.5 1259

10

1125

30

40

50

60

70

80

90

100

110

120

130

140

160

130

200

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

Jtj T arg

T arg

T

9.9226 - 1 3.1331 3.8456 - 2 3.7803

9.8895 - 1 3.1292 5.0808 - 2 3.7336

9.8213 - 1 3.1211 7.0749 - 2 3.6585

9.7417 - 1 3.1115 8.7917 - 2 3.5946

9.6257 - 1 3.0976 1.0582 - 1 3.5289

9.3928 - 1 3.0690 1.2907 - 1 3.4462

9.1799 - 1 3.0413 1.4329 - 1 3.3972

9.1355 - 1 3.0353 1.4579 - 1 3.3886

9.0935 - 1 3.0295 1.4803 - 1 3.3808

8.6486 - 1 2.9615 1.6705 - 1 3.3059

8.5235 - 1 2.9404 1.7110 - 1 3.2852

8.2960 - 1 2.9007 1.7711 - 1 3.2472

8.0850 - 1 2.8637 1.8115 - 1 3.2122

7.8822 - 1 2.8291 1.8382 - 1 3.1798

7.6842 - 1 2.7966 1.8548 - 1 3.1497

7.4897 - 1 2.7664 1.8638 - 1 3.1220

7.2988 - 1 2.7383 1.8673

— 1 3.0963

7.1121 - 1 2.7124 1.8665 - 1 3.0727

6.9301 - 1 2.6885 1.8626 - 1 3.0509

6.7538 - 1 2.6666 1.8564 - 1 3.0307

6.5835 - 1 2.6466 1.8486 - 1 3.0121

6.4199 - 1 2.6284 1.8396 - 1 2.9949

6.1136 - 1 2.5968 1.8196 - 1 2.9642

5.8356 - 1 2.5709 1.7988 - 1 2.9376

5.5854 - 1 2.5497 1.7785 - 1 2.9143

5.0693 - 1 2.5124 1.7341 - 1 2.8670

4.6817 - 1 2.4897 1.7019 - 1 2.8293

4.3906 - 1 2.4750 1.6822 - 1 2.7968

4.1707 - 1 2.4644 1.6736 - 1 2.7664

4.0036 - 1 2.4552 1.6745 - 1 2.7361

3.8760 - 1 2.4460 1.6836 - 1 2.7049

3.7039 - 1 2.4243 1.7213 - 1 2.6367

3.6047 - 1 2.3957 1.7791 - 1 2.5584

3.5511 - 1 2.3593 1.8514 - 1 2.4685

3.5268 - 1 2.3152 1.9343 - 1 2.3665

3.5216

_ 1 2.2635 2.0242 - 1 2.2521

3.5390 - 1 2.1375 2.2099 - 1 1.9843

3.5492 - 1 1.9838 2.3661 - 1 1.6606

3.5187 - 1 1.8133 2.4108 - 1 1.2817

3.4820 - 1 1.6284 2.2702 - 1 8.8126 - 1 3.4041 - 1 1.4085 2.0073 - 1 4.9320 - 1 2.5445 - 1 7.9010 1 1.1311 - 1 5.8915

1.5049 - 1 4.4123 1 5.1318 - 2 5.4199
-55-

Table 6 a

f, kc ]T ] arg

T arg T^

0.2

0.5 1259

10

1115

25

30

40

50

60

70

90

100

110

120

130

140

160

180

200

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

9.2925 - 6.2076 6.2030 - 2 3.8593

8.9050

— 6.1616 9.4348

— 2 3.8190

8.4883

_ 6.1078 1.2772

_ 3.7728

7.9340 - 6.0285 1.6980 - 3.7061

6.9482 - 5.8588 2.3750 - 3.5686

6.1574 - 5.6862 2.8430 - 3.4348

6.0039

— 5.6477 2.9251 - 3.4055

5.8624 - 5.6104 2.9979 - 3.3775

5.3876 - 5.4711 3.2216 - 3.2743

4.5820 - 5.1647 3.5134 - 3.0545

4.2979 - 5.0253 3.5826 - 2.9565 3 . 8664 - 4.7632 3.6402 - 2.7736

3.5523 - 4.5158 3.6308 - 2.6000

3.3076 - 4.2757 3.5766 - 2.4283

3.0954 - 4.0354 3.4796 - 2.2510

2.5253 - 3.5303 2.9896 - 1.8530

2.0852 - 3.3519 2.5138 - 1.7050

1.7773 - 3.2622 2.1425 - 1.6327

1.5871 - 3.2046 1.8848 - 1.5896 1 . 4649 - 3.1585 1.6966 - 1.5579

1.3841 - 3.1173 1.5525 - 1.5312

1.2980 - 3.0390 1.3464 - 1*4841

1.2740 - 2.9589 1.2073 - 1.4379

1.2912 - 2.8711 1.1096 - 1.3879

1.4627 - 2.5825 9.7026 - 2 1.2187

1.6938 - 2.1219 8.8687 - 2 9.1511 - 1 1.6265 - 1.5182 6.8717 - 2 4.3962 - 1 1.2215 - 1.0049 3.8096 - 2 6.3703 - 2 8.5795 - 2 6.9260 - 1 1.8513 - 2 5.0678 - 2 6.2940 - 2 5.0866 - 1 1.0660 - 2 4.0928 - 1 3.9557 - 2 3.0181 - 1 9.5132 - 3 1.1208

2.8789 - 2 1.7720 - 1 1.0713 - 2 1.3070

2.3145 - 2 8.1629 - 2 1.1536 - 2 1.3440

2.0102 - 2 6.2775 1.2309 - 2 1.3310

1.8687 - 2 6.1851 1.3340 - 2 1.2873

1.9829 - 2 5.9118 1.7505 - 2 1.0761

2.5563 - 2 5.1867 2.5816 - 2 3.8987 - 1 1.5363 - 2 4.0729 1.6891 - 2 5.5883

6.8946 - 3 3.6451 7.9833 - 3 5.1823

3.8266 - 3 3.4807 4.5463 - 3 5.0345

1.4742 - 3 3.3182 1.7232 - 3 4.9001

8.1873 - 4 3.2509 8.7295 - 4 4.8488
-56-

Table 6b

f, kc

K arg

T

K are& T-r

0.2

0.5

10

111525

30

40

50

60

70

90

100

110

120

130

140

160

180 2 00

250

300

350

400

450 5 00

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

9.6183 - 3.1005 6.3357 - 2 3.8804

9.4033

— 3.0746 9.7563 - 2 3.8524

9.1669

_ 3.0435 1.3394_ 1 3.8199

8.8429 - 2.9964 1.8166 - 1 3.7723

8.2350 - 2.8916 2 . 6464 - 1 3.6717

7.7089 - 2.7801 3.2956 - 1 3.5700

7.6016

_ 2.7546 3.4201

_ 1 3.5473

7.5009 - 2.7297 3.5345 - 1 3.5253

7.1483 - 2.6350 3.9162 - 1 3.4428

6.4741 - 2.4166 4.5589 - 1 3.2576

6.1995 - 2.3117 4.7844 - 1 3.1706

5.7155 - 2.1032 5.1214 - 1 3.0002

5.2757 - 1.8894 5.3477 - 1 2.8286

4.8416 - 1.6622 5.4805 - 1 2.6490

4.3707 - 1.4118 5.5064 - 1 2.4539

2.9390 - 8.1223 - 1 4.8267 - 1 1.9901

1.9997 - 6.1851 - i 3.9525 - 1 1.8207

1.4024 - 5.6846 - 1 3.2805 - 1 1.7474

1.0427 - 5.7399 - 1 2.8241 - 1 1.7109

8.0732 - 2 6.0459 - 1 2.4941 - 1 1.6891

6.4310 - 2 6.5114 - 1 2.2417 - 1 1.6747

4.3428 - 2 7.8180 - 1 1.8762 - 1 1.6575

3.1450 - 2 9.5807 - 1 1.6206 - 1 1.6495

2.4515 - 2 1.1730 1.4301 - 1 1.6477

1.8762 - 2 1.7241 1.1196 - 1 1.6687

1.9153 - 2 2.0258 9.7071 - 2 1.7143

1.8380 - 2 2.1324 9.1834 - 2 1.7006

1.6752 - 2 2.3175 8.4774 - 2 1.6288

1.7292 - 2 2.5111 7.6386 - 2 1.5748

1.8686 - 2 2.6251 6.9461 - 2 1.5417

2.1554 - 2 2.7281 6.0130 - 2 1.4993

2.4365 - 2 2.7654 5.4809 - 2 1.4642

2.7505 - 2 2.7724 5.2147 - 2 1.4265

3.1407 - 2 2.7575 5.1645

— 2 1.3806

3.6649 - 2 2.7195 5.3329 - 2 1.3198

5.5651 - 2 2.5236 6.6084 - 2 1.0921

9.3708 - 2 1.8497 9.4354 - 2 3.9786

6.8948 - 2 7.7927 - 1 6.0452 - 2 5.5937

3.6347 - 2 3.8468 - 1 2.8212 - 2 5.1864

2.2842 - 2 2.4544 - 1 1.5928 - 2 5.0374

1.0674 - 2 1.2642 - 1 5.9533 - 3 4.9018

6.4106 - 3 8.5568 - 2 2.9821 - 3 4.8509 - 1
-57-

Table 7 a

f, kc

o.i

0.2

0.5 l259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250 3 00

350

400

450

500

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

arg

T JT ] 4 am ' em' arg

T

8.8996 - 1 6.1651 4.3511 - 2 3.8543

8.4827 - 1 6.1152 5.9663 - 2 3.8254

7.7210 - 1 6.0142 8.8755

— 2 3.7699

6.9634 - i 5.8965 1.1725 - 3.7102

6.0651 - l 5.7220 1.5079 - 3.6302

4.8282 - 1 5.3483 1.9853 - 3.4842

4.2293 - 1 4.9879 2.2624

— 3.3603

4.1571

_ 1 4.9134 2.3056 - 3.3352

4.1033 - 1 4.8440 2.3423 - 3.3116

4.0086 - l 4.6091 2.4440 - 3.2290

4.1128 - 1 4.2239 2.5384 - 3.0712

4.2127 - 1 4.0957 2.5468 - 3.0074

4.4116 - 1 3.9084 2.5318 - 2.8972

4.5856 - 1 3.7759 2.4977 - 2.8025

4.7328 - 1 3.6752 2.4575 - 2.7176

4.8583 - 1 3.5946 2.4164 - 2.6394

4.9673 - 1 3.5275 2.3770 - 2.5657

5.0640 - 1 3.4697 2.3401

— 2.4948

5.1515

_ I 3.4188 2.3055— 2.4255

5.2320 - 1 3.3728 2.2728 - 2.3568

5.3070 - 1 3.3305 2.2411 - 2.2880

5.3775 - 1 3.2909 2.2090 - 2.2181

5.4435 - 1 3.2533 2.1743 - 2.1466

5.5593 - 1 3.1820 2.0846 - 1.9973

5.6400 - 1 3.1155 1.9388 - 1.8468

5.6896 - l 3.0591 1.7404 - 1.7293

5.9615 - 1 2.9477 1.3889 - 1.6224

6.4352 - 1 2.8117 1.3153 - 1.6209

6.8165 - 1 2.6376 1.4671 - 1.5650

6.9860 - 1 2.4556 1.6900 - 1.3928

7.0216 - 1 2.2783 1.8849 - 1.1632

6.9822 - 1 2.1041 2.0392 - 9.1401

6.2711 - 1 1.3581 2.3470 - 6.1346

5.2395 - 1 8.9819 1 2.1893 - 5.5294

3.4113 - 1 5.1443 1 1.5839

— 5.0201

2.1731

_ i 3.8639 1 1.1632 - 1 4.7939

1.0675 - 1 4.2146 1 9.1339 - 2 4.5340

7.4317 - 2 8.8640 1 9.9861 - 2 4.1227

1.0651 - 1 9.0587 1 9.9415 - 2 3.3189

9.9955 - 2 4.1855 1 6.0376 - 2 2.4157

6.8387 - 2 1.9426 1 2.7626 - 2 2.0156

3.5890 - 2 9.0778 2 7.9664 - 3 1.7879

2.3231 - 2 6.4433 2 3.6208 - 3 1.7205 - 1
-58-

Table 7b

f, kc It arg

T

K arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

700

800

900

1000

12 00

1400

1600

1800

2000

2500

3000 9 ,8780 9 ,8274 9 ,7260 9 ,6101 9 ,4426

9,,1003

8,,7769

8< 7083

8<,6433

8.,4110

7,,9548

7.,7681

7,,4445

7,,1638

6.,9087

6.,6680

6,,4336

6.,1991 5 ,9589

5,,7072

5,,4381

5,,1448

4.,8191

4<,0338

3,,0460

2.,0769

9,,4239

7,,6527

8,,8514

1,,0498

1.,1723

1.,2441

1,,1615

9,,7073

9,,8027

1.,1934 1 ,7949 2 ,9271

3.,7043

2.,7159

1.,5007

6.,1062

3,,5480

3.1283 4.4419

3.1222 6.1432

3.1093 9.2955

3.0935 1.2519

3.0691 1.6547

3.0152 2.3026

2.9599 2.7665

2.9475 2.8517

2.9356 2.9289

2.8910 3.1806

2.7930 3.5891

2.7481 3.7310

2.6622 3.9485

2.5792 4.1087

2.4973 4.2308

2.4151 4.3241

2.3318 4.3936

2.2467 4.4423

2.1589 4.4712

2.0679 4.4803

1.9729 4.4685

1.8733 4.4334

1.7686 4.3706

1.5460 4.1348

1.3372 3.6951

1.2422 3.1066 2 1.5882 2.0477 2 2.1727 1.6090 2 2.5150 1.5628 1 2.6172 1.6673 1 2.6151 1.7915 1 2.5749 1.9093 1 2.3710 2.3046 2 2.4059 2.3760 2 2.6514 2.1654

2.7398 1.9835

2.6749 2.0391

2.3166 2.5987

1.5340 2.8133

6.9558 1 1.8088

3.3385 1 8.7160 2 1.3985 1 2.7165 2 8.8778 2 1.2867

8749

8546

8160

7752

7219

6277

5500

5344

5197

4681

3664

3231

2438

1699

0987

0286

9588

8885

8172

7444

6695

5921

5116

3414

1714

0509

0249

1926

3706

4445

4465

4114

0903

8377

6039

4884

3059

1848

2427

5261

1386

9208

8571 - 1 - 1
-59-

Table 8a

f, kc

o.r

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

KeJ arg

T It. arg

T

8.3251 - 1 6.0969

7.7274 - 1 6.0177

6.6995

— 1 5.8556

5.7778 - 1 5.6629

4.8621 - 1 5.3732

4.1189 - 1 4.7982

4.1915 - 1 4.3750

4.2508 - 1 4.3032

4.3143 - 1 4.2403

4.5735 - 1 4.0507

5.0978 - 1 3.7911

5.2915 - 1 3.7129

5.5862 - 1 3.6022

5.7995 - 1 3.5257

5.9622 - 1 3.4681

6.0922 - 1 3.4224

6.2002 - 1 3.3845

6.2934 - 1 3.3522

6.3762

_ 1 3.3240

6.4519 - 1 3.2987

6.5226 - 1 3.2757

6.5899 - 1 3.2544

6.6551 - 1 3.2345

6.7819 - 1 3.1973

6.9073 - 1 3.1622

7.0325 - 1 3.1281

7.3406 - 1 3.0434

7.6719 - 1 2.9527

7.9285 - 1 2.8469

8.0435 - 1 2.7401

8.0747 - 1 2.6391

8.0650 - 1 2.5432

7.9865 - 1 2.3599

7.8617 - 1 2.1807

4.2159 - 2 3 .8272

5.7081 - 2 3 .7895

8.2888 - 2 3 .7203

1.0677

_ 1 3 .6499

1.3302 - 1 3 .5614

1.6656 - 1 3 .4140

1.8351 - 1 3 .2994

1.8591

— 1 3 .2770

1.8789 - 1 3 .2563

1.9291 - 1 3 .1852

1.9595 - 1 3 .0551

1.9538 - 1 3 .0041

1.9278 - 1 2 .9180

1.8952 - 1 2 .8457

1.8625 - 1 2..7822

1.8322 - 1 2.,7247

1.8053 - 1 2..6713

1.7818

— 1 2, 6208

1.7617 - 1 2. 5722

1.7446 - 1 2« 5249

1.7302 - 1 2< 4783

1.7179 - 1 2. 4319

1.7072 - 1 2. 3854

1.6880 - 1 2. 2909

1.6660 - 1 2. 1932

1.6317 - 1 2. 0924

1.4451 - 1 li 8811

1.3117 - 1 1, 8418

1.4089 - 1 1, 8251

1.6006 - 1 1. 7189

1.7877 - 1 1, 5641

1.9536 - 1 1, 3951

2.2387 - 1 1. 0580

2.4926 - 1 7, 3662 - 1
-60-

Table 8b

f, kc

K art?

T I* arg

T

0.1

0.2

0.5 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250 3 00

350

400

450

500

600

700

9.9220

9.8890

9.8214

9.7418

9.6232

9.3738

9.1351

9.0844

9.0364

8.8650

8.5300

8.3935

8.1577

7.9541

7.7698

7.5969

7.4297

7.2640

7.0962

6.9234

6.7425

6.5503

6.3438

5.8734

5.3003

4.5970

2.5715

1.6741

1.7144

1.9624

2.1889

2.3641

2.5978

2.7370

3.1328

3.1287

3.1197

3.1087

3.0919

3.0557

3.0195

3.0116

3.0039

2.9756

2.9141

2.8862

2.8331

2.7822

2.7322

2.6824

2.6324

2.5819

2.5306

2.4781

2.4244

2.3691

2.3121

2.1928

2.0673

1.9425

1.8225

2.2203

2.6000

2.7580

2.8050

2.8074

2.7652

2.7028

4.3070

5.8832

8.6949

1.1426

1.4643

1.9413

2.2584

2.3151

2.3661

2.5309

2.7977

2.8919

3.0393

3.1517

3.2405

3.3115

3.3678

3.4114

3.4434

3.4646

3.4753

3.4755

3.4648

3.4082

3.2967

3.1166

2.3628

1.7669

1.6350

1.6976

1.7987

1.9046

2.1195

2.3453 2 3.8485 2 3.8197 2 3.7680

3.7172

3.6563

3.5626

3.4960

3.4835

3.4721

3.4334

3.3624

3.3334

3.2809

3.2323

3.1855

3.1395

3.0938

3.0481

3.0021

2.9558

2.9090

2.8616

2.8134

2.7144

2.6119

2.5080

2.3237

2.4099

2.5912

2.6947

2.7345

2.7412

2.7046

2.6303
-61-

Table 9 a

f, kc

o.i

0.2

0.5 1259

10

11

15

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

1*

8.1170

7.4611

6*3620

5.4226

4.5727

4.1067

4.3849

4.4733

4.5605

4.8789

5.4486

5.6469

5.9412

6.1496

6.3066

6.4309

6.5337

6.6219

6.7002

6.7715

6.8381

6.9014

6.9628

7.0825

7.2018

7.3224

7.6282

7.9342

8.1608

8.2606

8.2868

8.2776

8.2101

8.1072

ares Te 6.07Q6

5.9799

5.7930

5.5692

5.2348

4.6157

4.2130

4.1484

4.0923

3.9263

3.7028

3.6358

3.5410

3.4753

3.4260

3.3868

3.3543

3.3267

3.3025

3.2808

3.2612

3.2430

3.2260

3.1944

3.1646

3.1356

3.0617

2.9806

2.8879

2.7952

2.7081

2.6258

2.4701

2.3199 * £ arg

T

4.1644 - 2 3.8170

5.6110 - 2 3.7763

8.074S - 2 3.7026

1.0308

— ; L 3.6291

1.2702 - ; L 3.5387

1.5653 - ;L 3.3921

1.7077 - :L 3.2809

1.7273

_ ; L 3.2594

1.7431 - : L 3.2395

1.7820 - jL 3.1718

1.7999 - ]L 3.0488

1.7919 - : I 3.0010

1.7648 - ]I 2.9205

1.7335 - ]L 2.8533

1.7030 - : 2.7945

1.6754 - : L 2.7415

1.6511 - ] L 2.6924

1.6304 - : 2.6461

1.6130 - ] L 2.6017

1.5985 - ] L 2.5585

1.5867 - ; L 2.5161

1.5771 - : L 2.4740

1.5693 - : 2.4320

1.5570 - : 2.3470

1.5450 - ] 2.2595

1.5265 - : L 2.1692

1.4047 - ; L 1.9636

1.2856 - ; L 1.9027

1.3693 - ; L 1*8832

1.5464 - : L 1.7841

1.7220 - : L 1.6396

1.8794 - : 1.4820

2.1528 - i L 1.1695

2.3985 - : L 8.7466 - 1
-62-

Table 9b

f, kc

0.1

0.2

0.5 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250

300

350

400

450

500

600

700

]Tmm'

9.9314

9.9021

9.8417

9.7698

9.6622

9.4349

9.2177

9.1717

9.1281

8.9726

8.6692

8.5458

8.3326

8.1486

7.9821

7.8258

7.6748

7.5253

7.3741

7.2184

7.0557

6.8833

6.6985

6.2793

5.7717

5.1491

3.2004

2.0725

2.0480

2.3049

2.5509

2.7457

3.0172

3.1967

arg

T

3.1338

3.1301

3.1220

3.1121

3.0971

3.0649

3.0330

3.0261

3.0194

2.9946

2.9409

2.9165

2.8702

2.8259

2.7823

2.7390

2.6956

2.6518

2.6074

2.5621

2.5157

2.4682

2.4194

2.3175

2.2106

2.1030

1.9549

2.2637

2.6268

2.7882

2.8414

2.8505

2.8214

2.7710

K arg

T

4.2548 I 3.8384

5.7841 I 3.8066

8.4724 I 3.7505

1.1034 - L 3.6967

1.3989 - L 3.6341

1.8258 - L 3.5415

2.1038 - L 3.4786

2.1531 - L 3.4671

2.1975 - . L 3.4565

2.3408 - L 3.4214

2.5735 - : L 3.3581

2.6562 - ; L 3.3324

2.7868 - : L 3.2860

2.8873 - ; L 3.2429

2.9675 - ; L 3.2013

3.0323 - ] L 3.1602

3.0842 - ; L 3.1193

3.1250 - ! L 3.0784

3.1558 - ; L 3.0373

3.1771 - : L 2.9959

3.1894 - ; L 2.9541

3.1928 - ; L 2.9119

3.1871 - ] L 2.8690

3.1470 - ] L 2.7816

3.0637 - ] L 2.6917

2.9283 - ] L 2.6007

2.3327 - ] L 2.4213

1.7648 - : L 2.4755

1.6170 - ] 2.6467

1.6656 - ] 2.7513

1.7556 - : 2.7960

1.8525 - ] 2.8089

2.0524 - ; 2.7868

2.2642 - : 2.7286
-63-

Table 10a

f, kc

o.i

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

Jt ]

7.9877

7.2979

6.1618

5.2229

4.4313

4.1445

4.5279

4.6295

4.7271

5.0696

5.6533

5.8514

6.1419

6.3458

6.4985

6.6189

6.7182

6.8033

6.8786

6.9471

7.0111

7.0720

7.1310

7.2461

7.3610

7.4778

7.7772

8.0702

8.2814

8.3732

8.3968

8.3877

8.3252

8.2320

arg

T

ee arg

T

6.0537

5.9556

5.7524

5.5085

5.1468

4.5117

4.1276

4.0675

4.0156

3.8627

3.6581

3.5967

3.5099

3.4497

3.4044

3.3685

3.3387

3.3134

3.2912

3.2714

3.2534

3.2368

3.2212

3.1923

3.1651

3.1386

3.0705

2.9946

2.9086

2.8231

2.7430

2.6675

2.5252

2.3890

4.1319 I 3.8106

5.5501 I 3.7680

7.9421 2 3.6917

1.0082 - L 3.6165

1.2342 - L 3.5251

1.5068 - L 3.3793

1.6348

—

L 3.2703

1.6520 - ; L 3.2493

1.6659 - : L 3.2299

1.6990 - ;L 3.1641

1.7107 - ;L 3.0451

1.7017 - :L 2.9990

1.6743 - : L 2.9216

1.6438 - ;I 2.8570

1.6147 - ; t 2.8007

1.5884 - : L 2.7500

1.5657 - : I 2.7031

1.5464 - '.

L 2.6590

1.5303 - ;L 2.6167

1.5171 - ;L 2.5757

1.5066 - : L 2.5354

1.4982 - :L 2.4956

1.4917 - ;L 2.4558

1.4824 - :L 2.3755

1.4745 - ;L 2.2931

1.4624 - ; L 2.2081

1.3704 - jL 2.0089

1.2647 - ; L 1.9372

1.3422 - ] 1.9144

1.5108 - ] 1.8177

1.6792 - : 1.6777

1.8307 - ] 1.5254

2.0951 - ] 1.2243

2.3333 - ; 9.4168 - 1
-64-

Table 10b

f, kc

0.1

0.2

0.5

125

9

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

2 00

250

300

350

400

450

500

600

700

K

9.9362

9.9088

9.8521

9.7844

9.6825

9.4673

9.2619

9.2184

9.1772

9.0305

8.7445

8.6281

8.4273

8.2540

8.0971

7.9500

7.8077

7.6668

7.5245

7.3780

7.2249

7.0629

6.8893

6.4963

6.0214

5.4391

3.5594

2.3268

2.2588

2.5171

2.7717

2.9754

3.2642

3.4621

are& T

rr 3.1343

3.1308

3.1232

3.1139

3.0998

3.0698

3.0402

3.0337

3.0275

3.0045

2.9549

2.9323

2.8896

2.8486

2.8083

2.7684

2.7283

2.6879

2.6470

2.6052

2.5626

2.5190

2.4742

2.3809

2.2832

2.1844

2.0325

2.2946

2.6437

2.8048

2.8602

2.8722

2.8492

2.8047

are T

4.2217 - , I 3.8321

5.7216 - ;> 3.7984

8.3341 - 2 3.7398

1.0794 — L 3.6843

1.3596 - . L 3.6208

1.7582 - L 3.5291

2.0149 - L 3.4685

2.0603 _ L 3.4575

2.1012 - L 3.4475

2.2330 - L 3.4144

2.4477 - L 3.3553

2.5243 - . L 3.3314

2.6458 - . L 3.2882

2.7400 - .L 3.2480

2.8155 - ; L 3.2090

2.8768 - ; L 3.1705

2.9262 - ; L 3.1321

2.9654 - . L 3.0937

2.9952 - L 3.0550

3.0164 - ; L 3.0161

3.0292 - ; L 2.9768

3.0339 - : L 2.9371

3.0303 - ]L 2.8970

2.9974 - ; l 2.8152

2.9262 - ] L 2.7314

2.8098 - ]L 2.6469

2.2904 - : L 2.4744

1.7521 - ] L 2.5133

1.5987 - ; L 2.6772

1.6398 - ; L 2.7814

1.7233 - : L 2.8280

1.8147 - ] 2.8438

2.0049 - ; 2.8285

2.2074 - ] 2.7780
-65-

Table 11a

f, kc arg

T ]T arg

T

0.1

0.2

0.5 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

8.1357 - 1 6.0678 4.0497 - 2 3.8113

7.4858 - 1 5.9732 5.4492 - 2 3.7663

6.4002 - 1 5.7739 7.8152 - 2 3.6816

5.4871 - 1 5.5304 9.9237 - 2 3.5923

4.7065 - 1 5.1645 1.2107 - 1 3.4749

4.4365 - 1 4.5080 1.4532 - 1 3.2635

4.8407 - 1 4.0965 1.5408 - 1 3.0828

4.9447 - 1 4.0302 1.5489 - 1 3.0456

5.0434 - 1 3.9724 1.5541 - 1 3.0105

5.3797 - 1 3.7983 1.5571 - 1 2.8854

5.9028 - 1 3.5500 1.5215 - 1 2.6352

6.0585 - 1 3.4701 1.5008 - 1 2.5290

6.2541 - 1 3.3498 1.4668 - 1 2.3382

6.3566 - 1 3.2594 1.4448 - 1 2.1671

6.4043 - 1 3.1862 1.4333 - 1 2.0098

6.4172 - 1 3.1241 1.4296 - 1 1.8634

6.4066 - 1 3.0696 1.4311 - 1 1.7261

6.3797 - 1 3.0209 1.4358 - 1 1.5970

6.3412 - 1 2.9767 1.4420 - 1 1.4755

6.2948 - 1 2.9362 1.4486 - 1 1.3611

6.2429 - 1 2.8987 1.4547 - 1 1.2534

6.1876 - 1 2.8638 1.4601 - 1 1.1521

6.1306 - 1 2.8311 1.4643 - 1 1.0569

6.0156 - 1 2.7712 1.4697 - 1 8.8306 - 1 5.9040 - 1 2.7169 1.4715 - 1 7.2894 - 1 5.7987 - 1 2.6667 1.4711 - 1 5.9144 - 1 5.5651 - 1 2.5524 1.4658 - 1 3.0269 - 1 5.3662 - 1 2.4467 1.4601 - 1 6.7196 - 2 5.1893 - 1 2.3447 1.4558 - 1 6.1474

5.0243 - 1 2.2440 1.4526 - 1 5.9646

4.8636 - 1 2.1435 1.4496 - 1 5.7946

4.7016 - 1 2.0424 1.4457 - 1 5.6325

4.3571 - 1 1.8382 1.4305 - 1 5.3200

3.9660 - 1 1.6327 1.3963 - 1 5.0125

3.5202 - 1 1.4325 1.3324 - 1 4.7060

3.0395 - 1 1.2506 1.2342 - 1 4.4065

2.5749

_ 1 1.1012 1.1118 - 1 4. 1254

1.8665 - 1 9.0588 - 1 8.6921 - 2 3.6341

1.4523 - 1 7.7891 - 1 6.7438 - 2 3. 1932

1.1853 - 1 6.4707 - 1 5.0704 - 2 2.7636

9.6346 - 2 5.0414 - 1 3.5719 - 2 2.3671

7.6903 - 2 3.8183 - 1 2.3888 - 2 2.0479

4.5121 - 2 2.1614 - 1 8.9463 - 3 1.5978

2.9543 - 2 1.5071 - 1 4.0304 - 3 1.4113
-66-

Table lib

f, kc

0.1

0.2

0.5 1259

10

11

1525

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

argT

K arg

T

9.8625 - 1 3.1269 4.1360 - 2 3.8329

9.8051 - 1 3.1203 5.6143 - 2 3.7973

9.6898

— 1 3.1066 8.1929 - 2 3.7316

9.5573

_ 1 3.0904 1.0609

_ 1 3.6647

9.3657 - 1 3.0665 1.3307 - 1 3.5805

8.9789 - 1 3.0172 1.6875 - 1 3.4404

8.6237 - 1 2.9702 1.8821 - 1 3.3315

8.5498

_ 1 2.9601 1.9121_ 1 3.3102

8.4802 - 1 2.9504 1.9377 - 1 3.2902

8.2352 - 1 2.9150 2.0105 - 1 3.2212

7.7662 - 1 2.8397 2.0915 - 1 3.0876

7.5761 - 1 2.8058 2.1070 - 1 3.0311

7.2431 - 1 2.7419 2.1131 - 1 2.9277

6.9449 - 1 2.6815 2.0969 - 1 2.8321

6.6634 - 1 2.6239 2.0646 - 1 2.7416

6.3899 - 1 2.5691 2.0198 - 1 2.6552

6.1206 - 1 2.5173 1.9646 - 1 2.5725

5.8551 - 1 2.4690 1.9014 - 1 2.4935

5.5945

_ 1 2.4243 1.8319

_ 1 2.4183

5.3406 - 1 2.3836 1.7579 - 1 2.3469

5.0958 - 1 2.3469 1.6810 - 1 2.2794

4.8619 - 1 2.3143 1.6026 - 1 2.2160

4.6407 - 1 2.2857 1.5240 - 1 2.1566

4.2399 - 1 2.2392 1.3700 - 1 2.0495

3.8961 - 1 2.2051 1.2244 - 1 1.9573

3.6055 - 1 2.1807 1.0900 - 1 1.8787

3.0670 - 1 2.1460 8.0486 - 2 1.7348

2.7140 - 1 2.1294 5.8284 - 2 1.6636

2.4725 - 1 2.1172 4.1242 - 2 1.6851

2.2988 - 1 2.1039 2.9273 - 2 1.8554

2.1675 - 1 2.0872 2.3814 - 2 2.2133

2.0630 - 1 2.0663 2.5629 - 2 2.5835

1.8985 - 1 2.0136 3.9623 - 2 2.8302

1.7605 - 1 1.9517 5.5032 - 2 2.7401

1.6321 - 1 1.8909 6.7895 - 2 2.5447

1.5173 - 1 1.8421 7.6936 - 2 2.3113

1.4326

_ 1 1.8081 8.1908_ 2 2.0704

1.3807 - 1 1.7333 8.3370 - 2 1.6122

1.4011 - 1 1.5720 7.8866 - 2 1.1721

1.3656 - 1 1.3241 6.9279 - 2 7.2993 - 1 1.2186 - 1 1.0503 5.5436 - 2 3.1492 - 1 1.0092 - 1 8.1502 1 4.1285 - 2 6.2569

5.8950 - 2 4.7363 1 1.9047 - 2 5.7438

3.7503 - 2 3.2429 1 9.9740 - 3 5.4917
-67-

Table 12

a

f, kc

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

20O0

2500

3000

KJ arg

T arg

T

8.1346 - 1 6.0 732 4.1549 - 2 3.8394

7.4818 - 1 5.9839 5.6520 - 2 3.8074

6.3803 - 1 5.8004 8.2881 - 2 3.7503

5.4237 - i 5.5818 1.0803 - i 3.6945

4.5228 - 1 5.2545 1.3704 - 1 3.6277

3.8980 - 1 4.6307 1.7870 - l 3.5235

4.0270 - 1 4.2015 2.0536 - 1 3.4467

4.0862 - i 4.1305 2.1002 - i 3.4318

4.1463 - 1 4.0684 2.1418 - 1 3.4180

4.3716 - 1 3.8812 2.2735 - 1 3.3702

4.7666 - 1 3.6191 2.4727 - 1 3.2771

4.8946 - 1 3.5369 2.5354 - 1 3.2374

5.0682 - 1 3.4160 2.6191 - l 3.1651

5.1740 - 1 3.3274 2.6646 - 1 3.0991

5.2397 - 1 3.2571 2.6836 - 1 3.0381

5.2802 - 1 3.1981 2.6830 - 1 2.9813

5.3039 - 1 3.1467 2.6675 - 1 2.9284

5.3157

— 1 3.1008 2.6409

— 1 2.8792

5.3190

— i 3.0590 2.6060— i 2.8336

5.3160 - 1 3.0202 2.5651 - 1 2.7914

5.3080 - 1 2.9840 2.5202 - 1 2.7524

5.2964 - 1 2.9497 2.4729 - 1 2.7166

5.2818 - 1 2.9172 2.4245 - 1 2.6837

5.2464 - 1 2.8559 2.3282 - 1 2.6259

5.2056 - 1 2.7988 2.2370 - l 2.5771

3.1616 - 1 2.7447 2.1538 - 1 2.5355

5.0445 - 1 2.6182 1.9848 - l 2.4530

4.9228 - 1 2.4992 1.8645 - 1 2.3872

4.7966 - 1 2.3839 1.7800 - 1 2.3279

4.6641 - 1 2.2703 1.7204 - 1 2.2697

4.5226 - 1 2.1573 1.6780 - 1 2.2097

4.3693 - 1 2.0443 1.6472 - 1 2.1465

4.0177 - 1 1.8177 1.6040 - l 2.0076

3.5958 - 1 1.5935 1.5653 - 1 1.8519

3.1118 - 1 1.3827 1.5145 - 1 1*6844

2.6107

— 1 1.2026 1.4465 - 1 1.5147

2.1573

— 1 1.0660 1.3698 - i 1.3505

1.5144 - 1 9.1162 - ]L 1.2280 - 1 1.0336 1 . 1666 - 1 8.3871 - ]L 1.0993 - 1 6.9708 - 1 9.7270 - 2 7.6030 - ]L 9.4236 - 2 3.2809 - 1 8.2507 - 2 6.4769 - ]L 7.4587 - 2 6.2459

6.8630 - 2 5.3071 - ] 5.5085 - 2 5.9383

4.2666 - 2 3.4179 - ]L 2.4876 - 2 5.4835

2.8588 - 2 2.5306 - ]L 1.2849 - 2 5.2734
-68-

Table 12b

f, kc ]T arg

T

K arg6 T-r

0.1

0.2

0.5 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

9.8625 - L 3.1269 4.0328 - 2 3.8095

9.8052 - L 3.1203 5.4184 - 2 3.7652

9.6904 - L 3.1066 7.7526 - 2 3.6837

9.5589 - L 3.0903 9.8282

_ 2 3.6004

9.3702 - L 3.0660 1.1985 - 3.4949

8.9927 - 'L 3.0151 1.4440 - 3.3152

8.6471 - L 2.9649 1.5403 - 3.1705

8.5750 - L 2.9539 1.5503 - 3.1416

8.5068 - L 2.9433 1.5573 - 3.1146

8.2644 - L 2.9040 1.5652 - 3.0205

7.7853 - L 2.8185 1.5280 - 2.8410

7.5833 - :L 2.7796 1.5002 - 2.7678

7.2174 - :L 2.7066 1.4429 - 2.6399

6.8798 - : L 2.6385 1.3895 - 2.5277

6.5573 - ;L 2.5748 1.3415 - 2.4256

6.2447 - ;I 2.5153 1.2986 - 2.3303

5.9406 - ]L 2.4601 1.2600 - 2.2402

5.6457 - ;L 2.4094 1.2250 - 2.1543

5.3613 - ]L 2.3633 1.1930 - 2.0722

5.0893 - :I 2.3218 1.1636 - 1.9933

4.8312 - ;L 2.2847 1.1366 - 1.9176

4.5882 - ; L 2.2520 1.1117 - 1.8448

4.3610 - L 2.2233 1.0887 - 1.7749

3.9546 - L 2.1770 1.0485 - 1.6430

3.6094 - .L 2.1430 1.0152 - 1.5207

3.3189 - L 2.1186 9.8819 - 2 1.4068

2.7787 - ; L 2.0848 9.4367 - 2 1.1509

2.4192 - .L 2.0709 9.2332 - 2 9.2455 - 1 2.1684 - L 2.0642 9.1843 - 2 7.1752 - 1 1.9844 - :L 2.0592 9.2281 - 2 5.2318 - 1 1.8433 - : L 2.0537 9.3205 - 2 3.3721 - 1 1.7305 - ;I 2.0470 9.4284 - 2 1.5666 - 1 1.5579 - ; L 2.0315 9.5879 - 2 6.0880

1.4308 - ;L 2.0187 9.5342 - 2 5.7442

1.3422 - : L 2.0141 9.1627 - 2 5.4130

1.2970 - ; L 2.0^37 8.5019 - 2 5.1076

1.2940 - ] 2.0030 7.7179 - 2 4.8382

1.3624 - ] 1.9079 6.3314 - 2 4.3869

1.4362 - : 1.7065 5.2806 - 2 3.9776

1.4222 - ] 1.4276 4.2990 - 2 3.5658

1.2790 - ] 1.1287 3.2748 - 2 3.1728

1.0604 - ] 8.7183 1 2.3480 - 2 2.8466

6.1211 ! 4.9906 1 1.0095 - 2 2.3671

3.8518 ! 3.3772 1 5.0686 - 3 2.1464
-69-

Table 13

a

f, kc

K arg

T

K arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

8.4791 - 6.1171 1.7661 - 3 1.4871

7.9252 - 6.0476 3.4069 - 3 1.4549 6 . 9494 - 5.9073 7.9351 - 3 1.3945

6.0320

_ 5.7440 1.4679 - 2 1.3315

5.0290 - 5.5020 2.6382 - 2 1.2495

3.8707 - 4.9975 5.3974 - 2 1.1044

3.4839

— 4.5587 8.1514— 2 9.8349 - 1 3.4548 — 4.4758 8.7341 — 2 9.5915 — i 3.4387 - 4.4009 9.2838 - 2 9.3642 - 1 3.4460 - 4.1629 1.1210 - 8.5783 - 1 3.5940 - 3.8105 1.4731 - 7.1472 - 1 3.6656 - 3.6987 1.6049 - 6*6031 - 1 3 . 7789 - 3.5348 1.8146 - 5.7155 - 1 3.8576 - 3,4155 1.9765 - 5.0020 - 1 3.9111 - 3.3208 2.1073 - 4.3995 - 1 3.9463 - 3.2413 2.2167 - 3.8722 - 1 3.9678 - 3.1719 2.3105 - 3.3982 - 1 3.9791 - 3.1096 2.3927 - 2.9633 - 1 3.9822 - 3.0526 2.4659 - 2.5577 - i 3.9789 - 2.9996 2.5321 - 2.1743 - 1 3.9703 - 2.9497 2.5925 - 1.8080 - 1 3.9572 - 2.9022 2.6481 - 1.4550 - 1 3.9403 - 2.8567 2.6997 - 1.1123 - 1 3.8971 - 2.7705 2.7931 - 4.4946 - 2 3.8432 - 2.6888 2.8756 - 6.2638

3.7804 - 2.6103 2.9492 - 6.2006

3.5893 - 2.4232 3.1001 - 6.0441

3.3523 - 2.2432 3.2077 - 5.8858

3.0671 - 2.0671 3.2687 - 5.7229

2.7301 - 1.8963 3.2726 - 5.5546 2 . 3429 - 1.7389 3.2032 - 5.3829

1.9287 - 1.6150 3.0496 - 5.2157

1.2466 - 1.5633 2.5916 - 4.9447

9.3468 - 2 1.7241 2.1920 - 4.7687

8.5076 - 2 1.9003 1.9184 - 4.6404

8.5742 - 2 2.0077 1.7327 - 4.5298

8.9706

— 2 2.0498 1.6032 - 4.4230

1.0055 - 1 2.0015 1.4394 - 4.1934

1.1078 - 1 1.8313 1.3249 - 3.9174

1.1537 - 1 1.5748 1.1905 - 3.5887

1.0991 - 1 1.2744 9.9968 - 2 3.2325

9.5179 - 2 9.8824 1 7.7298 - 2 2.9011

5.5730 - 2 5.4227 1 3.5497 - 2 2.3784

3.4576 - 2 3.5555 1 1.8088 - 2 2.1457
-70-

Table 13b

f, kc

K arg

T arg

T

0.1

0.2

0.5 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

9.8911 - 1 3.1306 1.7661 - 3 4.6287

9.8465 - 1 3.1260 3.4069 - 3 4.5964

9.7594 - 1 3.1169 7.9351 - 3 4.5361

9.6635

_

T 3.1063 1.4679 - 2 4.4731

9.5322 - 1 3.0909 2.6382 - 2 4.3911

9.2867 - 1 3.0579 5.3974 - 2 4.2460

9.0725 ~ 1 3.0234 8.1514 - 2 4.1251

9.0280

_ I 3.0156 8.7341 - 2 4.1007

8.9858 - 1 3.0079 9.2838 - 2 4.0780

8.8340 - 1 2.9788 1.1210 - 3.9994

8.5180 - 1 2.9133 1.4731 - 3.8563

8.3780 - 1 2.8832 1.6049 - 3.8019

8.1186 - 1 2.8270 1.8146 - 3.7131

7.8790 - 1 2.7751 1.9765 - 3.6418

7.6548 - 1 2.7267 2.1073 - 3.5815

7.4433 - 1 2.6811 2.2167 - 3.5288

7.2433 - 1 2.6380 2.3105 - 3.4814

7.0536 - 1 2.5970 2.3927 - 3.4379 6 . 8734 _ 1 2.5579 2.4659 - 3.3974

6.7021 - 1 2.5203 2.5321 - 3.3590

6.5390 - 1 2.4840 2.5925 - 3.3224

6.3834 - 1 2.4490 2.6481 - 3.2871

6.2348 - 1 2.4150 2.6997 - 3.2528

5.9562 - 1 2.3496 2.7931 - 3.1865

5.6991 - 1 2.2869 2.8756 - 3»1222

5.4596 - 1 2.2261 2.9492 - 3.0590

4.9170 - 1 2.0792 3.1001 - 2.9025

4.4224 ~ 1 1.9357 3.2077 - 2.7442

3.9444 - 1 1.7930 3.2687 - 2.5813

3.4595 - 1 1.6521 3.2726 - 2.4130

2.9557 - 1 1.5198 3.2032 - 2.2413

2.4457 - 1 1.4126 3.0496 - 2.0741

1.6071 - 1 1.3515 2.5916 - 1.8031

1.1692 - 1 1.4715 2.1920 - 1.6271

9.9586 - 2 1.6422 1.9184 - 1.4988

9.5184 - 2 1.7805 1.7327 - 1.3882

9.6835 - 2 1.8632 1.6032 - 1.2814

1.0713 - l 1.8799 1.4394 - 1.0518

1.1874 - l 1.7495 1.3249 - 7.7582 - 1 1.2477 - l 1.5174 1.1905 - 4.4709 - 1 1.1987 - l 1.2331 9.9969 - 2 9.0943 - 2 1.0457 - l 9.5809 1 7.7298 - 2 6.0427

6.2113 - 2 5.2740 1 3.5497 - 2 5.5200 3 i 8875 - 2 3.4729 1 1.8088 - 2 5.2873
-71-

Table 14a

f, kc

o.i

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

ee

ar

g

T arg

T

8.0669 - 1 6.0642 4.5195 - 2 3.8208

7.3963 - 1 5.9708 6.0991 - 2 3*7817

6.2753 - 1 5.7782 8.8051 - 2 3*7111

5.3199

_ \ 5.5479 1.1280 - 3*6410

4.4546 - 1 5.2039 1.3972 - 3.5553

3.9507 - 1 4.5674 1.7403 - 3.4177

4.1663 - 1 4.1502 1.9191

— 3.3138

4.2386 - i 4.0825 1.9458 - 3.2937

4.3096 - 1 4.0235 1.9682 - 3.2750

4.5655 - 1 3.8466 2.0294 - 3.2110

4.9974 - 1 3.5997 2.0866 - 3*0911

5.1358 - 1 3.5223 2.0922 - 3*0422

5.3234 - 1 3,4080 2.0827 - 2.9561

5.4380 - 1 3.3242 2.0573 - 2.8798

5.5098 - 1 3.2575 2.0220 - 2*8100

5.5545 - 1 3.2016 1.9799 - 2.7451

5.5813 - 1 3.1530 1.9328 - 2*6844

5.5957

— 1 3.1097 1.8821 - 2*6277

5.6012

_ i 3.0703 1.8289 - 2.5747

5.6001 - 1 3.0338 1.7745 - 2*5254

5.5941 - 1 2.9998 1.7198 - 2.4796

5.5844 - 1 2.9678 1.6657 - 2.4374

5.5719 - 1 2.9374 1.6129 - 2.3983

5.5414 - 1 2.8804 1.5134 - 2*3292

5.5065 - 1 2.8273 1.4236 - 2.2700

5.4693 - 1 2.7772 1.3443 - 2*2186

5.3737 - 1 2.6601 1.1860 - 2*1123

5.2784 - 1 2.5499 1.0705 - 2*0232

5.1833 - 1 2*4430 9.8263 - 2 1*9411

5.0862 - 1 2.3374 9.1253 - 2 1*8618

4.9847 - 1 2.2320 8.5398 - 2 1.7830

4.8763 - l 2.1261 8.0300 - 2 1*7040

4.6290 - 1 1.9110 7.1436 - 2 1*5458

4.3252 - 1 1.6905 6.3514 - 2 1.3912

3.9494 - 1 1.4666 5.6221 - 2 1.2488

3.4990

— 1 1.2467 4.9843 - 2 1*1277

3.0025

— \ 1.0445 4.4930 - 2 1*0278

2.0933 - 1 7.3645 1 3.9478 - 2 8*2724 - 1 1.4666 - 1 5.4508 1 3.5986 - 2 5.5059 - 1 1.0631 - 1 4.2568 1 3.1148 - 2 2.1082 - 1 8.0010 - 2 3.5471 1 2.4677 - 2 6.1539

6.2678 - 2 3.1335 1 1.8307 - 2 5.8725

3.8777 - 2 2.5225 1 8.4951 - 3 5.4573

2.6685 - 2 2.1039 1 4.4787 - 3 5.2608
-72-

Table 14b

f, kc arg

T arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

9.8567 - L 3.1261 4.5195 - 2 3.8208

9.7968 - 'L 3.1191 6.0991 - 2 3.7817

9.6762 - . L 3.1044 8.8051 - 2 3.7111

9.5374 - L 3.0869 1.1280

_ i 3.6410

9.3370 - L 3.0609 1.3972 - 1 3.5553

8.9348 - L 3.0062 1.7403 - 1 3.4177

8.5666 - L 2.9524 1.9191 - 1 3*3138

8.4899

— •L 2.9407 1.9458 - i 3.2937

8.4174 - L 2.9293 1.9682 - 1 3.2750

8.1607 - : L 2.8873 2.0294 - 1 3.2110

7.6569 - : L 2.7959 2.0866 - 1 3.0911

7.4457 - ]L 2.7541 2.0922 - 1 3.0422

7.0632 - ;L 2.6751 2.0827 - 1 2.9561

6.7078 - ] L 2.6008 2.0573 - 1 2.8798

6.3641 - ;L 2.5307 2.0220 - 1 2.8100

6.0263 - ]I 2.4651 1.9799 - 1 2.7451

5.6937 - : L 2.4044 1.9328 - 1 2*6844

5.3685 - '.L 2.3491 1.8821

— 1 2.6277

5.0538

— ; L 2.2996 1.8289 - i 2.5747

4.7532 - ]L 2.2559 1.7745 - 1 2.5254

4.4694 - ] 2.2182 1.7198 - 1 2.4796

4.2046 - : 2.1862 1.6657 - 1 2.4374

3.9601 - : 2.1595 1.6129 - 1 2.3983

3.5322 - ] l 2.1205 1.5134 - 1 2.3292

3.1804 - ] L 2.0968 1.4236 - 1 2.2700

2.8939 - ] L 2.0845 1.3443 - 1 2.2186

2.3867 - ; L 2.0827 1.1860 - 1 2.1123

2.0696 - ] L 2.0997 1.0705 - 1 2.0232

1.8606 - : 2.1214 9.8263 - 2 1.9411

1.7166 - : 2.1425 9.1253 - 2 1*8618

1.6145 - : 2.1607 8.5397 - 2 1.7830

1.5408 - ] L 2.1752 8.0300 - 2 1.7040

1.4495 - ] L 2.1923 7.1436 - 2 1.5458

1.4068 - ; 2.1932 6.3514 - 2 1.3912

1.3961 - : L 2.1776 5.6221 - 2 1.2488

1.4079 - : L 2.1444 4.9843 - 2 1.1277

1.4351

_ ; 2.0925 4.4930 - 2 1.0278

1.5089 - : 1.9298 3.9478 - 2 8.2724 - 1 1.5537 - ] 1.6877 3.5986 - 2 5.5059 - 1 1.4923 - : 1.3886 3.1147 - 2 2.1082 - 1 1.3039 - : 1.0885 2.4677 - 2 6.1539

1.0625 - ] 8.4213 1 1.8307 - 2 5.8725

6.0899 ! 4.8992 1 8.4954 - 3 5.4572

3.8399 ! 3.3460 1 4.4802 - 3 5.2601
-73-

Table 15a

f, kc ]T arg

T

K arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

8.3940 - i 6.1064 1.9427 - 2 3.8267

7.8153 - 1 6.0320 2.6304 - 2 3.7884

6.8087 - 1 5.8808 3.8196 - 2 3.7172

5.8843 - i 5.7033 4.9187 - 2 3.6437

4.9180 - 1 5.4380 6.1221 - 2 3.5495

3.9568 - 1 4.8946 7.6421 - 2 3.3871

3.8044 - 1 4.4573 8.3888 - 2 3.2548

3.8219

— i 4.3791 8.4917 - 2 3.2282

3.8481 - 1 4.3095 8.5752 - 2 3.2033

3.9905 - 1 4.0945 8.7797 - 2 3.1161

4.3390 - 1 3.7871 8.8708 - 2 2.9473

4.4731 - 1 3.6910 8.8266 - 2 2.8775

4.6736 - 1 3.5511 8.6789 - 2 2.7542

4.8105 - 1 3.4503 8.5059 - 2 2.6454

4.9058 - 1 3.3713 8.3344 - 2 2.5462

4.9731 - 1 3.3061 8.1745 - 2 2.4538

5.0208 - 1 3.2501 8.0296 - 2 2.3668

5.0545 - 1 3.2008 7.9005 - 2 2.2839

5.0779 - i 3.1564 7.7868

_ 2 2.2044

5.0935 - 1 3.1158 7.6876 - 2 2.1279

5.1032 - 1 3.0782 7.6018 - 2 2.0539

5.1082 - 1 3.0429 7.5282 - 2 1.9820

5.1097 - 1 3.0096 7.4658 - 2 1.9122

5.1044 - 1 2.9476 7.3706 - 2 1.7779

5.0914 - 1 2.8901 7.3090 - 2 1.6497

5.0731 - i 2.8360 7.2753 - 2 1.5270

5.0131 - l 2.7104 7.2832 - 2 1.2400

4.9405 - 1 2.5934 7.3813 - 2 9.7569 - 1 4.8590 - 1 2.4809 7.5323 - 2 7.2836 - 1 4.7690 - 1 2.3707 7.7102 - 2 4.9358 - 1 4.6696 - 1 2.2616 7.8949 - 2 2.6781 - 1 4.5594 - 1 2.1528 8.0704 - 2 4.8192 - 2 4.2994 - 1 1.9343 8.3370 - 2 5.9020

3.9752 - 1 1.7153 8.3981 - 2 5.4759

3.5833 - 1 1.5012 8.1400 - 2 5.0481

3.1466

— 1 1.3026 7.4929 - 2 4.6247

2.7132 - i 1.1285 6.5186

— 2 4.2217

1.9802 - 1 8.5176 - ] 4.3027 - 2 3.5339

1.4419 - 1 6.5432 - ] 2.5900 - 2 3.0442

1.0712 - 1 5.2326 - ]L 1.5752 - 2 2.7279

8.2174 - 2 4.3601 - ]L 1.0105 - 2 2.5216

6.5005 - 2 3.7480 - ]L 6.8473 - 3 2.3793

4.0087 - 2 2.7973 - 3L 3.1070 - 3 2.1639

2.7339 - 2 2.2430 - J

L 1.6791 - 3 2.0425
-74-

Table 15b

f, kc

K arg

T

K arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

9.8840 - 1 3.1297 1.9924 - 2 3.8519

9.8362 - 1 3.1247 2.7261 - 2 3.8241

9.7416 - 1 3.1146 4.0414 - 2 3.7737

9.6352 - i 3.1029 5.3274 - 2 3.7236

9.4855 - 1 3.0861 6.8531 - 2 3.6626

9.1919 - 1 3.0520 9.1312 - 2 3.5661

8.9250 - 1 3.0196 1.0645 - 1 3.4954

8.8692

_ i 3.0126 1.0913 - i 3.4819

8.8165 - 1 3.0059 1.1154 - 1 3.4695

8.6289 - 1 2.9816 1.1922 - 1 3.4274

8.2614 - 1 2.9309 1.3115 - 1 3.3503

8.1103 - 1 2.9088 1.3512 - 1 3.3194

7.8471 - 1 2.8685 1.4095 - 1 3.2655

7.6190 - 1 2.8319 1.4502 - 1 3.2180

7.4146 - 1 2.7980 1.4797 - 1 3.1747

7.2272 - 1 2.7663 1.5012 - 1 3.1345

7.0529 - 1 2.7365 1.5169 - l 3.0966

6.8894 - 1 2.7083 1.5282 - 1 3.0606

6.7350

_ i 2.6816 1.5361 - i 3.0263

6.5889 - 1 2.6563 1.5413 - l 2.9936

6.4503 - 1 2.6322 1.5444 - 1 2.9621

6.3186 - 1 2.6093 1.5459 - 1 2.9318

6.1935 - 1 2.5875 1.5461 - 1 2.9025

5.9617 - 1 2.5467 1.5437 - 1 2.8467

5.7523 - 1 2.5092 1.5390 - 1 2.7939

5.5631 - I 2.4743 1.5330 - l 2.7435

5.1655 - 1 2.3959 1.5165 - 1 2.6250

4.8538 - 1 2.3254 1.5016 - 1 2.5131

4.6061 - 1 2.2590 1.4898 - 1 2.4040

4.4052 - 1 2.1939 1.4812 - 1 2.2954

4.2380 - 1 2.1284 1.4751 - 1 2.1854

4.0943 - 1 2.0615 1.4704 - l 2.0728

3.8465 - 1 1.9211 1.4602 - 1 1.8360

3.6145 - 1 1.7716 1.4382 - 1 1.5795

3.3717 - 1 1.6157 1.3892 - 1 1.3016

3.1118 - 1 1.4582 1.2986 - 1 1.0073

2.8397 - i 1.3018 1.1640 - 1 7.0976 - 1 2.2648 - 1 1.0017 8.2828 - 2 1.6678 - 1 1.7102 - 1 7.5912 - : L 5.3454 - 2 6.0432

1.2807 - 1 5.9422 - ] L 3.4349 - 2 5.7745

9.8119 - 2 4.8542 - ] L 2.2966 - 2 5.5966

7.7325 - 2 4.1046 - ] L 1.6055 - 2 5.4725

4.7230 - 2 2.9779 - ] L 7.6576 - 3 5.2808

3.1987 - 2 2.3483 - ] L 4.2597 - 3 5.1690
-75-

Table 16a

£, kc

0.1

0.2

0.5 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

It arg

T arg

T

8.2239 - i 6.0848 3.4316 - 2 3.8155

7.5960 - ] 6.0007 4.6231 - 2 3.7732

6.5247 - 1 5.8287 6.6486

— 2 3.6952

5.5752 - i 5.6246 8.4743 - 2 3.6153

4.6450 - 1 5.3188 1.0407 - 3.5136

3.8983 - 1 4.7184 1.2691 - 3.3397

3.9390 - 1 4.2823 1.3670 - 3.1992

3.9862

_ i 4.2085 1.3785 - 3.1711

4.0370 - 1 4.1436 1.3872 - 3.1448

4.2411 - 1 3.9469 1.4030 - 3.0530

4.6298 - l 3.6703 1.3852 - 2.8771

4.7621 - 1 3.5837 1.3657 - 2.8052

4.9470 - 1 3.4567 1.3226 - 2.6792

5.0639 - 1 3.3643 1.2803 - 2.5688

5.1394 - 1 3.2912 1.2416 - 2.4686

5.1883 - 1 3.2302 1.2068 - 2.3755

5.2194 - l 3.1774 1.1757 - 2.2878

5.2380 - 1 3.1304 1.1478 - 2.2043

5.2475 - i 3.0878 1.1228 - 2.1242

5.2502 - 1 3.0485 1.1003 - 2.0473

5.2477 - 1 3.0118 1.0800 - 1.9732

5.2413 - 1 2.9772 1.0617 - 1.9016

5.2318 - 1 2.9443 1.0452 - 1.8324

5.2058 - 1 2.8827 1.0168 - 1.7005

5.1735 - 1 2.8252 9.9414 - 2 1.5766

5.1369 - 1 2.7708 9.7630 - 2 1.4597

5.0350 - 1 2.6440 9.4905 - 2 1.1929

4.9242 - 1 2.5251 9.4025 - 2 9.5390 - 1 4.8068 - 1 2.4103 9.4361 - 2 7.3416 - 1 4.6819 - 1 2.2976 9.5444 - 2 5.2766 - 1 4.5474 - 1 2.1859 9.6916 - 2 3.3012 - 1 4.4011 - 1 2.0745 9.8494 - 2 1.3844 - 1 4.0647 - l 1.8517 1.0103 - 1 6.0479

3.6601 - 1 1.6322 1.0138 - 1 5.6807

3.1946 - l 1.4261 9.8334 - 2 5.3215

2.7118 - 1 1.2498 9.1860

— 2 4.9811

2.2769

— i 1.1148 8.3404 - 2 4*6698

1.6677 - 1 9.4259 - ]L 6.6190 - 2 4.1230

1.3151 - 1 8.1064 - ]L 5.0483 - 2 3.6319

1.0611 - 1 6.7084 - ]L 3.6110 - 2 3.1967

8.4827 - 2 5.4367 - ] L 2.4575 - 2 2.8542

6.7841 - 2 4.4747 - ] L 1.6674 - 2 2.6098

4.1505 - 2 3.0895 - ]L 7.1943 - 3 2.2667

2.8012 - 2 2.3856 - ] L 3.7288 - 3 2.0969
-76-

Table 16b

f, kc

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

600

700

800 9 00

1000

1200

1400

1600

1800

2000

2500

3000

]T

J arg

T ]T ] ' me '

argT ' mm' mm me

9.8700 - L 3.1279 3.5299 - 2 3.8437

9.8161 - L 3.1218 4.8115 - 2 3.8131

9.7084 - L 3.1094 7.0822 - 2 3.7583

9.5858 - L 3.0947 9.2669 - 2 3.7044

9.4108 - L 3.0731 1.1811 - l 3.6395

9.0621 - L 3.0281 1.5513 - 1 3.5380

8.7425

—

L 2.9842 1.7910 - 1 3.4634

8.6756 - L 2.9746 1.8330 - i 3.4491

8.6123 - L 2.9654 1.8706 - l 3.4358

8.3873 - ' L 2.9315 1.9899 - i 3.3903

7.9433 - L 2.8589 2.1721 - 1 3.3037

7.7577 - . L 2.8263 2.2308 - l 3.2675

7.4258 - . L 2.7657 2.3125 - l 3.2025

7.1256 - : L 2.7097 2.3625 - l 3.1439

6.8442 - :L 2.6573 2.3909 - 1 3.0898

6.5753 - : L 2.6085 2.4035 - l 3.0395

6.3165 - ;L 2.5630 2.4043 - l 2.9925

6.0669 - J

L 2.5208 2.3960 - 1 2.9485

5.8267 - ] L 2.4819 2.3810 - i 2.9074

5.5965 - ]L 2.4462 2.3609 - 1 2.8689

5.3768 - ]L 2.4136 2.3371 - l 2.8328

5.1680 - ]L 2.3840 2.3108 - 1 2.7991

4.9706 - ]L 2.3571 2.2828 - 1 2.7676

4.6098 - : L 2.3110 2.2247 - 1 2.7102

4.2931 - jL 2.2736 2.1669 - l 2.6595

4.0173 - : L 2.2434 2.1118 - 1 2.6142

3.4764 - : L 2.1899 1.9932 - 1 2.5180

3.0932 - ]L 2.1551 1.9035 - l 2 . 4366

2.8145 - ; L 2.1290 1.8385 - 1 2.3618

2.6051 - ] L 2.1063 1.7924 - 1 2.2889

2.4422 - 3L 2.0844 1.7602 - 1 2.2149

2.3114 - ]L 2.0621 1.7378 - 1 2.1383

2.1117 - ] 2.0155 1.7089 - 1 1.9730

1.9652 - ] 1.96S7 1.6825 - l 1.7897

1.8614 - : 1.9243 1.6405 - l 1.5909

1.8029 - ] 1.8782 1.5738 - 1 1.3840

1.7852

_ ; 1.8183 1.4870 - i 1.1768

1.7880 - ] 1.6246 1.2844 - 1 7.6434 - 1 1.7047 - ] 1.3488 1.0486 - l 3.4807 - 1 1.4810 - ] 1.0563 7.8957 - 2 6.2415

1.1949 - ] 8.1250 - 1 5.5897 - 2 5.9278

9.4063 6.3763 - 1 3.9099 - 2 5.7021

5.4592 3.9959 - 1 1.7731 - 2 5.3833

3.5461 2.8878 - 1 9.4540 - 3 5.2239
-77-

Table 17

a

f, kc

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250

300

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

argT

K arg

T

7.0304 - l 5.9178 8.0369 - 2 3.7532

6.1426 - L 5.7582 1.0504 - 1 3.6945

4.8923 - : L 5.4212 1.4311 - 1 3.5947

4.1620

_ ; L 5.0267 1.7327 - i 3.5021

3.9521 - :L 4.5349 2.0086 - 1 3.3949

4.5271 - ;L 3.9524 2.2671 - 1 3.2288

5.1074 - ] L 3.6829 2.3363 - 1 3.1024

5.2094

_ ; L 3.6419 2.3393_ i 3.0775

5.2994 - ]I 3.6063 2.3394 - 1 3.0543

5.5712 - ]I 3.4997 2.3232 - 1 2.9733

5.9262 - : I 3.3465 2.2436 - 1 2.8172

6.0211 - ]I 3.2962 2.2016 - 1 2.7520

6.1365 - : I 3.2188 2.1245 - 1 2.6346

6.1976 - :L 3.1587 2.0572 - 1 2.5268

6.2288 - : l 3.1080 1.9967 - 1 2.4243

6.2407 - ] 3.0634 1.9398 - 1 2.3250

6.2385 - : 3.0228 1.8840 - 1 2.2285

6.2255 - ] 2.9855 1.8279 - 1 2.1350

6.2041

— ; 2.9507 1.7709 - i 2.0451

6.1767 - ] 2.9183 1.7137 - 1 1.9595

6.1454 - ] 2.8880 1.6572 - 1 1.8788

6.1123 - ; L 2.8595 1.6029 - l 1.8030

6.0788 - : 1 2.8325 1.5517 - 1 1.7321

6.0142 - ; L 2.7824 1.4610 - 1 1.6031

5.9554 - : L 2.7359 1.3869 - 1 1.4879

5.9026 - ]L 2.6919 1.3278 - 1 1.3830

5.7899 - : L 2.5884 1.2296 - l 1.1496

5.6922 - : L 2.4902 1.1779 - 1 9.4082 - 1 5.5985 - : L 2.3947 1.1530 - 1 7.4568 - 1 5.5014 - : I 2.3006 1.1439 - 1 5.5842 - 1 5.3957 - ; L 2.2070 1.1439 - 1 3.7559 - 1 5.2773 - ]L 2.1136 1.1484 - 1 1.9494 - 1 4.9888 - ]L 1.9271 1.1574 - 1 6.1179

4.6156 - ]I 1.7446 1.1480 - 1 5.7557

4.1629 - : L 1.5776 1.1034 - 1 5.3963

3.6912 - ! L 1.4438 1.0223 - 1 5.0544

3.2999

— ; L 1.3502 9.2274 - 2 4.7431

2.9152 - ] 1.2067 7.3438 - 2 4.1955

2.7919 - ] 9.8421 1 5.6702 - 2 3.6882

2.5597 - : 6.8079 1 4.0711 - 2 3.2278

2.1941 - ] 3.6908 1 2.7678 - 2 2.8611
-78-

Table 17b

f, kc

0.1

0.2

0.5 1259

10

111525

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250

300

350

400

450

500

600

700

800 9 00

1000

1200

1400

1600

1800 1 mm '

9.9168

9.8787

9.7958

9.6930

9.5367

9.2130

8.9158

8.8539

8.7954

8.5873

8.1653

7.9783

7.6189

7.2594

6.8900

6.5088

6.1195

5.7296

5.3485

4.9861

4.6502

4.3454

4.0733

3.6208

3.2705

2.9970

2.5284

2.2344

2.0318

1.8822

1.7667

1.6757

1.5522

1.5006

1.5119

1.5618

1.6254

1.7387

1.7345

1.5389

1.2482

arg 1

3.1309

3.1253

3.1128

3.0972

3.0735

3.0221

2.9690

2.9570

2.9454

2.9010

2.7991

2.7507

2.6571

2.5674

2.4818

2.4013

2.3270

2.2601

2.2017

2.1522

2.1116

2.0792

2.0538

2.0193

1.9997

1.9889

1.9804

1.9816

1.9856

1.9906

1.9968

2.0047

2.0264

2.0489

2.0532

2.0242

1.9616

1.7503

1.4461

1.1195

8.4945

arg

T - 1

5.0311 - 2 3.7703

6.6252 - 2 3.7181

9.1636 - 2 3.6302

1.1289 - i 3.5490

1.3420 - 1 3.4546

1.5988 - 1 3.3005

1.7444 - 1 3.1678

1.7698

_ i 3.1392

1.7929 - 1 3.1118

1.8709 - 1 3.0095

2.0270 - 1 2.7846

2.1000 - 1 2.6829

2.2461 - 1 2.4971

2.3935 - 1 2.3323

2.5382 - 1 2*1866

2.6752 - 1 2.0578

2.7994 - 1 1.9443

2.9074 - 1 1.8448

2.9977

_ i 1.7582

3.0710 - 1 1.6840

3.1297 - 1 1.6210

3.1770 - 1 1.5684

3.2163 - 1 1.5249

3.2811 - 1 1.4599

3.3382 - 1 1.4167

3.3936 - 1 1.3882

3.5330 - 1 1.3519

3.6704 - 1 1.3367

3.7996 - 1 1.3253

3.9169 - 1 1.3108

4.0205 - 1 1.2903

4.1094 - 1 1.2627

4.2428 - 1 1.1878

4.3234 - 1 1.0921

4.3753 - 1 9.8289 - 1 4.4353 - 1 8.6190 - 1 4.5243 - i 7.2390 - 1 4.7208 - 1 3.7462 - 1 4.6779 - 1 6.2118

4.1997 - 1 5.7283

3.5037 - 1 5.2716
-79-

Table 18a

f, kc ' ee

J arg

T arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180 2 00

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000 6 ,4527

5.,5080

4,,3763 3 ,9837

4.,2115

5. 0970

5.,6943

5,,7903 5 ,8732

6,,1140

6.,4058

6.,4783

6,,5605

6.,5966

6,,6050

6,,5922

6,,5613

6.,5161

6.,4614

6.,4031

6.,3459

6.,2925

6.,2439 6 ,1608

6.,0933 6 ,0368 5 ,9243 5 ,8310

5,,7420

5,,6489

5.,5463 5 ,4298 5 ,1412 4 ,7620 4 .2974 3 ,8109 3 ,4080 3 ,0179 2 .8947 2 .6486 2 .2699 1 .9078 1 .2979 7 ,4814 - 2

8182 1.0705 - 3.7222

6102 1.3775 - 3.6571

1719 1.8289

— 3.5508

7032 2.1658 - 3.4563

2233 2.4548 - 3.3508

7512 2.6988 - 3.1918

5413 2.7450 - 3.0720

5090 2.7433 - 3.0483

4808 2.7390 - 3.0262

3953 2.7081 - 2.9489

2686 2.6067 • - 2.7976

2256 2.5589 - 2.7330

1575 2.4749 - 2.6139

1023 2.4023 - 2.5008

0542 2.3341 - 2.3900

0106 2.2638 - 2.2805

9706 2.1872 - 2.1730

9339 2.1028

— 2.0697

9006 2.0132 - 1.9729

8704 1.9228 - 1.8841

8430 1.8363 - 1.8035

8177 1.7565 - 1.7304

7940 1*6846 - 1.6636

7498 1.5648 - 1.5445

70 83 1.4724 - 1.4390

6684 1.4014 - 1.3426

5726 1.2866 - 1.1256

4802 1.2260 - 9.2805 - 1 3895 1.1955 - 7.4099 - 1 2998 1.1822 - 5.5975 - 1 2104 1.1788 - 3.8150 - 1 1209 1.1805 - 2.0436 - 1 9421 1.1847 - 6.1321

7670 1.1711 - 5.7725

6076 1.1225 - 5.4143

4821 1.0372

— 5.0732

3979 9.3392 - 2 4.7627

2744 7.4148 - 2 4.2173

0736 5.7265 - 2 3.7106

0009 1 4.1080 - 2 3.2492

3806 1 2.7839 - 2 2.8842

1590 1 1.8797 - 2 2.6205

0788 7.9875 - 3 2.2268

3913 3.8832 - 3 2.0076
-80-

Table 18b

f, kc arg

T

J

T arg

T

0.1

0.2

0.5 1259

10

1115

25

30

40

50

60

70

80

90

100

110

120

130

140

160

180

200

250 3 00

350

400

450

500

600

700

800

900

1000

1200

1400

1600

1800

2000

2500

3000

9.9481 - l 3.1327 6.0049

9.9193 - L 3.1272 7.7740 9 . 8494 — L 3.1145 1.0448

9.7555 - L 3.0984 1.2550

9.6069 - . L 3.0737 1.4531

9.2946 - L 3.0196 1.6776

9.0091 - . L 2.9626 1.8067

8.9498

_ ; L 2.9495 1.8309

8.8938 - ; L 2.9367 1.8536

8.6939 - :L 2.8876 1.9370

8.2803 - : L 2.7722 2.1403

8.0907 - : L 2.7164 2.2484

7.7120 - . L 2.6073 2.4765

7.3134 - ] L 2.5013 2.7105

6.8837 - : L 2.3996 2.9354

6.4226 - ] L 2.3042 3.1371

5.9408 - ;L 2.2183 3.3044

5.4583 - '.

L 2.1449 3.4318

4.9995 - ; I 2.0860 3.5216

4.5841 - ;L 2.0412 3.5824

4.2211 - :L 2.0085 3.6244

3.9102 - : L 1.9855 3.6560

3.6461 - ] L 1.9694 3.6829

3.2297 - : L 1.9510 3.7339

2.9217 - : L 1.9431 3.7881

2.6867 - ] L 1.9404 3.8467

2.2892 - ; L 1.9429 4.0042

2.0397 - ;I 1.9494 4.1623

1.8658 - ; L 1.9568 4.3101

1.7357 - ; L 1.9650 4.4428

1.6337 - : L 1.9750 4.5583

1.5526 - : L 1.9875 4.6555

1.4443 - ; L 2.0215 4.7939

1.4083 - ; L 2.0578 4.8654

1.4376 - : L 2.0715 4.8989

1.5040 - ] L 2.0455 4.9402

1.5794 - ; L 1.9825 5.0159

1.7082 - ] L 1.7698 5.1909

1.7177 - : L 1.4635 5.0937

1.5310 - ] L 1.1331 4.5084

1.2427 - ] 8.6045 1 3.7053

9.7750 ! 6.6634 1 3.0131

5.6287 ! 3.9998 1 2.0190

3.5910 ! 2.7338 1 1.2786 2 3.7354 2 3.6749 1 3.5763

3.4880

3.3864

3.2170

3.0637

3.0299

2.9972

2.8745

2.6056

2.4868

2.2755

2.0943

1.9377

1.8012

1.6828

1.5815

1.4973

1.4295

1.3762

1.3352

1.3040

1.2632

1.2415

1.2313

1.2295

1*2384

1.2452

1.2449

1.2361

1.2186

1.1607

1.0800

9.8558

8*8040

7.5911

4.4500

3.8401

5*8884

5*5059

5.1873

4.4680

3.5688
-81-

Table 19a

f, kc

0.1

0.2

0.5 125 10

1115

20

50

60

70

80

90

100

110

120

130

140

160

180

200

250

300

350

400

450

500

900

1000

1200

1400

1600

1800

2000

2500

3000

5000

KJ arg

T ArgT

8.1341 - 6.0784 4.1377 - 2 3.8372

7.4797 - 5.9943 5.6204 - 2 3.8053

6.3678 - 5.8263 8.2233 - 2 3.7499

5.3801 - 5.6321 1.0703 - 3.6975

4.3871 - 5.3466 1.3576 - 3.6371 3 . 4493 - 4.7773 1.7790 - 3.5481

3.3022 - 4.2616 2.1130 - 3.4739

3.3189 - 4.1938 2.1595 - 3.4629

3.4151 - 3.9866 2.3110 - 3.4252

3.5396 - 3.8152 2.4520 - 3.3859

3.9204 - 3.3870 2.8780 - 3.2038

3.9713 - 3.3167 2 . 9443 - 3.1505

4.0071 - 3.2593 2.9885 - 3.0996

4.0331 - 3.2103 3.0149 - 3.0509

4.0527 - 3.1671 3.0268 - 3.0045

4.0677 - 3.1279 3.0269 - 2.9606

4.0790 - 3.0918 3.0178 - 2.9190

4.0875 - 3.0579 3.0014 - 2.8799

4.0935 - 3.0258 2.9798 - 2.8431

4.0972 - 2.9950 2.9544 - 2.8086

4.0987 - 2.9367 2.8973 - 2.7456

4.0934 - 2.8817 2.8380 - 2.6895

4.0828 - 2.8292 2.7807 - 2.6389

4.0394 - 2.7059 2.6561 - 2.5278

3.9807 - 2.5900 2.5592 - 2.4285

3.9121 - 2.4782 2.4832 - 2.3339

3.8352 - 2.3684 2.4213 - 2.2405

3.7495 - 2.2595 2.3683 - 2.1467

3.6540 - 2.1505 2.3203 - 2.0515

2.3902 - 1.2892 1.8502 - 1.2356

1.9850

_ 1.1234 1*6866 - 1.0412

1.3428 - 9.3119 - :L 1.3920 - 6.9145 - 1 9.8513 - 2 8.7967 - !L 1.1585 - 3.5010 - 1 8.1594 - 2 8.5469 - ! L 9.3493 - 2 6.2736

7.1308 - 2 7.7868 - :L 7.0466 - 2 5.9275

6.1466 - 2 6.7294 - :L 5.0226 - 2 5.6446

4.0430 - 2 4.6787 - :I 2.1636 - 2 5.2430

2.7730 - 2 3.5655 - 1L 1.0909 - 2 5.0691

9.8519 - 3 1.8554 - ]L 1.8930 - 3 4.8654
-82-

Table 19b

f, kc

0.1

0.2

0.5

are T arg T

12

5 10

111520

50

60

70

80

90

100

110

120

130

140

160

180

200

250

3 00

350

400

450

500

900

1000

1200

1400

1600

1800

2000

2500

3000

5000

9.8625 - L 3.1269 4.0513 - 2 3.8166

9.8053 - L 3.1203 5.4552 - 2 3.7767

9.6906 - L 3.1066 7.8442 - 2 3.7057

9.5596 _ L 3.0902 1.0012 - i 3.6366

9.3720 - ' L 3.0659 1.2352 - l 3.5545

8.9977 - L 3.01*4 1.5316 - l 3.4287

8.5805 - ' L 2.9515 1.7101 - l 3.3239

8.5116 - . L 2.9406 1.7299 - 1 3.3090

8.2639 - ' L 2.8997 1.7857 - 1 3.2600

7.9963 - . L 2.8535 1.8257 - 1 3.2137

6.7346 - : L 2.6300 1.9085 - l 3.0479

6.3642 - : L 2.5702 1.9244 - l 3.0036

6.0106 - ;L 2.5171 1.9376 - 1 2.9596

5.6755 - ]L 2.4707 1.9473 - 1 2.9153

5.3611 - ;I 2.4307 1.9529 — 1 2.8710

5.0694 - ; L 2.3969 1.9545 - i 2.8268

4.8014 - : L 2.3687 1.9521 - 1 2.7831

4.5576 - ;L 2.3456 1.9463 - 1 2.7401

4.3375 - ; L 2.3270 1.9376 - l 2.6982

4.1401 - . L 2.3121 1.9266 - 1 2.6573

3.8066 - L 2.2912 1.8999 - l 2.5790

3.5425 - :L 2.2782 1.8700 - 1 2.5050

3.3326 - ; L 2.2693 1.8394 - l 2.4346

2.9661 - ;L 2.2522 1.7674 - 1 2.2703

2.7301 - ]L 2.2313 1.7055 - 1 2.1154

2.5599 - ] L 2.2035 1.6521 - l 1.9645

2.4250 - : 2.1697 1.60*4 - 1 1.8148

2.3098 - ] L 2.1312 1.5601 - 1 1.6649

2.2057 - ] l 2.0895 1.5169 - l 1.5138

1.5066 - ] 1.8102 1.0710 - 1 2.7409

1.4092 _ ; 1.7899 9.3226 - 2 6.2729

1.3636 - ] 1.73*2 7.0058 - 2 5.7714

1.3952 - ] 1.5764 5.3589 - 2 5.3047

1.3651 - : 1.3271 4.0167 - 2 4.8357

1.2193 - ] 1.0516 2.8346 - 2 4.3917

1.0097 - : 8.1545 - 1 1.9043 - 2 4.0210

5.8958 ! 4.7363 - 1 7.2601 - 3 3.4351

3.7504 ! 3.2427 - 1 3.3402 - 3 3.1144

1.1934 ! 1.43*3 - 1 4.7622 - 4 2.5366

- 1
-83-

Table 20

f,kc

10

10

10

10

10

N= 10"

9.9841

10

6 3.4326

4(10

6

) 4.7778

2(10

7

) 6.4307

10

l 6.5471

a 8 2" H = m

arg5 T

ee 5.9879

4.8070

3.8325

3.3383

3.0070

0.5 1= <t> = a

J em ' 5.6404 - 2

arg6 T

em

1.4088

8.0119 - 2 9.3737 - 1

5.7508 - 2 9.1968 - 1

2.9182 - 2 7.8223 - 1

1.2215 - 2 5.5561

f,kc V

10

10 10

6

10 4(10

6

)

]T ]

J mm J 9.9841 - 1 3.1129

arg T mm

6 mm

9.7612 - 1 3.1006

9.4888 - 1 3.0802

10 2(10 ) 8.8429 - 1 3.0158

T arg T ' me ' & me

5.6404 - 2 4.5504

8.0119

5.7508

2.9182

- 2 4.0790

- 2 4.0613

- 2 3.9238

10 10 7.5707 - 1 2.8663 1.2215 - 2 3.6972
-84-

Table 21

f.kc

1020

40

100

135

N= 1. 2(10 ) ]T ]

J ee ' 3.8520

3.3260

3.4749

4.7570

5.4110

v = 10 are6 T

ee 5.1847

4.7718

4.3422

3.8661

3.7041

4>. = 80.397 H = 0. 5 m

7.7035

1.1606

1.6362

2.3983

2.6521

1=

are5 T

ei 1.0045

8.4494

6.9142

4.5918

3.5572

1020

40

100

135

60v 7.6546 - 1 4.2230

8.6128 - 1 3.7396

9.1801 - 1 3.3971

9.4061 - 1 3.0457

9.3591 - 1 2.9151

6.3613 - 2 9.8680 - 1 9.1781 - 2 6.7418 - 1 1.1259 - 1 3.9851 - 1 1.2418 - 1 1.0154 - 1 1.2237 - 1 1.4447 - 2

1020

40

100

135

120 7.6546

8.6128

9.1801

9.4061

9.3591

4.2230

3.7396

3.3971

3.0457

2.9151

6.3613 - 2 4. 1284

9.1781 - 2 3.8158

1.1259 - 1 3.5401

1.2418 - 1 3.2431

1.2237 - 1 3.1560

10

20

40

100

135

180 1 3.8520

3.3260

3.4749

4.7570

5.4110

5.1847

4.7718

4.3422

3.8661

3.7041

7.7035 - 2 4.1461

1.1606 - 1 3.9865

1.6362 - 1 3.8330

2.3983 - 1 3.6008

2.6521 - 1 3.4973

1020

40

100

135

240 4.9333

4.6872

4.6149

4.7236

4.8350

6.0468

6.0322

5.9241

5.5055

5.2549

2.1691 - 2 3.8250

2.7584 - 2 3.6379

3.2029 - 2 3.4884

3.4476 - 2 3.3549

3.3192 - 2 3.3255

10

20

40

100

135

300 4.9333

4.6872

4.6149

4.7236

4.8350

6.0468

6.0322

5.9241

5.5055

5.2549

2.1691 - 2 6.8345 - 1 2.7584 - 2 4.9635 - 1 3.2029 - 2 3.4680 - 1 3.4476 - 2 2.1327 - 1 3.3193 - 2 1.8396 - 1
-85-

Table 22

N = 1. 2(10 ) v = 10

f.kc

10

20

40

100

135

\\

4.3513

5.0135

5.6866

6.3884

6.6276

iO. 397 H = 0. 5 m

args T

ee 4.1620

3.7977

3.5417

3.3115

3.2478

It

1.4583

1.4819

1.4110

1.2904

1.3030

1= 45"

arg T

3. 1964

3.0138

2.7954

2.4254

2.2651

10

20

40

100

135

60l 6.1546

7.2836

8.1925

8.7957

8.8250

3.9946

3.6696

3.4195

3.1369

3.0356

1.4514 - 1 3.0116

1.4526 - 1 2.6921

1.4275 - 1 2.2664

1.6990 - 1 1.5939

1.9941 - 1 1.3690

10

20

40

100

135

120' 6. 1546

7.2836

8.1925

8.7957

8.8250

3.9946

3.6696

3.4195

3.1369

3.0356

1.7093 - 1 3.2738

1.8037 - 1 3.1096

1.8360 - 1 2.9075

1.9497 - 1 2.4354

2.0635 - 1 2.1539

10

20

40

100

135

180 4.3513 - 1 4.1620

5.0135 - 1 3.7977

5.6866 - 1 3.5417

6.3884 - 1 3.3115

6.6276 - 1 3.2478

2.0692 - 1 3.5270

2.4469 - 1 3.4629

2.8636 - 1 3.3770

3.4207 - 1 3.1499

3.5267 - 1 3.0173

10

20

40

100

135

240 2.7824 - 1 4.4382

2.7841 - 1 3.9577

2.9140 - 1 3.5951

2.7798 - 1 3.3613

2.7269 - 1 3.4169

2.0964 - 1 3.6033

2.5735 - 1 3.5788

3.2090 - 1 3.5409

4.5267 - 1 3.3621

5.0738 - 1 3.2144

10

2.0 40

100

135

300" 2.7824

2.7841

2.9140

2.7798

2.7269

4.4382

3.9577

3.5951

3.3613

3.4169

1.7790 - 1 3.5165

2.0672 - 1 3.5016

2.4668 - 1 3.5094

3.6476 - 1 3.4118

4.2820 - 1 3.2644
-86-

Table 23

f,kc

1020

40

100

135

N = 1. 2(10 )

4.8331

5.6639

6.4440

7.2081

7.4194

10arg T

<t>. = 80. 397 1 H 0. 5

1 4.0076

1 3.7060

1 3.4914

1 3.2810

1 3.2198

K

1= 84.270

ar g T „ 1.8759 - 1 3.3260

2.0125 - 1 3.2117

2.0734 - 1 3.0769

2.0397 - 1 2.8160

1.9936 - 1 2.6787

1020

40

100

135

60° 5.0429 - 1 3.9906

5.9252 - 1 3.6939

6.7374 - 1 3.4803

7.5038 - 1 3.2654

7.6963 - 1 3.2011

1.8695 - 1 3.3083

1.9961 - 1 3.1823

2.0453 - 1 3.0274

2.U014 - 1 2.7033

1.9509 - 1 2.5217

1020

40

100

135

120 5.0429 - 1 3.9906

5.9252 - 1 3.6939

6.7374 - 1 3.4803

7.5038 - 1 3.2654

7.6963 - 1 3.2011

1.9080

2.0558

2.1344

2.1334

2.0861

3.3288

3.2110

3.0665

2.7551

2.5768

1020

40

100

135

180 4.8331 - 1 <+.0076

5.6639 - 1 3.7060

6.4440 - 1 3.4914

7.2081 - 1 3.2810

7.4194 - 1 3.2198

1.9541

2.1348

2.2589

2.3242

2.2923

3.3645

3.2641

3.1448

2.8946

2.7552

1020

40

100

135

240 v 4.6251

5.4023

6. 1465

6.8956

7. 1159

4.0253

3.7180

3.5013

3.2940

3.2354

1.9609 - 1 3.3806

2.1532 - 1 3.2904

2.2944 - 1 3.1882

2.4039 - 1 2.9897

2.4105 - 1 2.8839

1020

40

100

135

300 4.6251 - 1 4.0253

5.4023 - 1 3.7180

6.1465 - 1 3.5013

6.8956 - 1 3.2940

7. 1159 - 1 3.2354

1.9213

2.0907

2.1987

2.2552

2.2540

3.3627

3.2667

3.1591

2.9626

2.8617
-87-

Table 24

f,kc

10

20

40

100

135

a

N = 1. 2(10 )

]T | ' ee

4.8406

5.6734

6.4548

7.2199

7.4307

- 1 - 1 - 1 - 1 - 1

10

arg T

>. = 80.397

ee 4.0055

3.7048

3.4908

3.2807

3.2195

H =0.5 m

90

1.9170

2.0750

2.1662

2.1787

2.1383

- 1 - 1 - 1 - 1 - 1

argB T

ei 3.3450

3.2377

3.1110

2.8558

2.7174

<1>. = 82u

l 10 240° 5.2862 - 1 3.8488 1.7076 - 1 3.3226

<t>. = 80.397

i 10 240 4.8406 - 1 4.0055 1.9170 - 1 3.3450
-88-

Table 25

N = 1. 2(10 )

f.kc

10

20

40

100

135

10

are T

<j>. = 80.397

9.7438 - 1 3.0978

9.6296 - 1 3.0681

9.4453 - 1 3.0176

9.0460 - 1 2.8886

8.8542 - 1 2.8171

H = m

0. 5 1=

]TJ me

'

areB T

n 7.7035 - 2 4.1461

1.1606 - 1 3.9865

1.6362 - 1 3.8330

2.3983 - 1 3.6008

2.6521 - 1 3.4973

1020

40

100

135

60 l 9.7143 - 1 3. 1062

9.5874 - 1 3.0885

9.4240 - 1 3.0624

9.2102 - 1 2.9974

9.1564 - 1 2.9598

6.3613 - 2 4.1284

9.1781 - 2 3.8158

1.1259 - 1 3.5401

1.2418 - 1 3.2431

1.2237 - 1 3. 1560

10

20

40

100

135

120 9.7143 - 1 3.1062

9.5874 - 1 3.0885

9.4240 - 1 3.0624

9.2102 - 1 2.9974

9.1564 - 1 2.9598

6.3613 - 2 9.8680 - 1 9.1781 - 2 6.7418 - 1 1.1259 - 1 3.9851 - 1 1.2418 - 1 1.0154 - 1 1.2237 - 1 1.4447 - 2

1020

40

100

135

180 9.7438 - 1 3.0978

9.6296 - 1 3.0681

9.4453 - 1 3.0176

9.0460 - 1 2.8886

8.8542 - 1 2.8171

7.7035 - 2 1.0045

1.1606 - 1 8.4494 - 1 1.6362 - 1 6.9142 - 1 2.3983 - 1 4.5918 - i 2.6521 - 1 3.5572 - 1

10

20

40

100

135

240 v 9.7129 - 1 3.1081

9.6017 - 1 3.0915

9.4624 - 1 3.0652

9.2704 - 1 2.9970

9.2163 - 1 2.9575

2.1691 - 2 6.8345 - 1 2.7584 - 2 4.9635 - 1 3.2029 - 2 3.4681 - 1 3.4476 - 2 2.1326 - 1 3.3192 - 2 1.8395 - 1

10

20

40

100

135

300' 9.7129

9.6017

9.4624

9.2704

9.2163

3.1081

3.0915

3.^652

2.9970

2.9575

2.1691 - 2 3.8250

2.7584 - 2 3.6379

3.2029 - 2 3.4884

3.4476 - 2 3.3549

3.3193 - 2 3.3255
-89-

Table 26

f,kc

1020

40

100

135

N = 1. 2(10

3

) v = 10

9.3018

8.9918

8.5682

7.6535

7.1168

- 1 - 1 - 1 - 1 - 1

<b. = 80. 397

i are6 Tmr

3.0450

2.9951

2.9141

2.7042

2.5844

H = 0. 5 1=45 m

2.0692 - 1 2.4469 - 1 2.8636 - 1 3.4207 - 1 3.5267 - 1

areB T

m

3.5270

3.4629

3.3770

3.1499

3.0173

1020

40

100

135

60 l 9.2466 - 1 3.0556

8.9075 - 1 3.0234

8.5088 - 1 2.9815

8.0040 - 1 2.8789

7.8433 - 1 2.8117

1.7093 - 1 3.2738

1.8037 - 1 3.1096

1.8360 - 1 2.9075

1.9497 - 1 2.4354

2.0635 - 1 2.1539

1020

40

100

135

120 1 9.2466 - 1 3.0556

8.9075 - 1 3.0234

8.5088 - 1 2.9815

8.0040 - 1 2.8789

7.8433 - 1 2.8117

1.4514 - 1 3.0116

1.4526 - 1 2.6921

1.4275 - 1 2.2664

1.6990 - 1 1.5939

1.9941 - 1 1.3690

1020

40

100

135

180 9.3018 - 1 3.0450

8.9918 - 1 2.9951

8.5682 - 1 2.9141

7.6535 - 1 2.7042

7. 1168 - 1 2.5844

1.4583 - 1 3.1964

1.4819 - 1 3.0138

1.4110 - 1 2.7954

1.2904 - 1 2.4254

1.3030 - 1 2.2651

10

20

40

100

135

240 9.3195 - 1 3.0413

9.0042 - 1 2.9845

8.4983 - 1 2.8885

6.8531 - 1 2.6571

5.6778 - 1 2.5862

1.7790 - 1 3.5165

2.0672 - 1 3.5016

2.4668 - 1 3.5094

3.6476 - 1 3.4118

4.2820 - 1 3.2644

10

20

40

100

135

300 9.3195 - 1 3.0413

9.0042 - 1 2.9845

8.4983 - 1 2.8885

6.8531 - 1 2.6571

5.6778 - 1 2.5862

2.0964 - 1 3.6033

2.5735 - 1 3.5788

3.2090 - 1 3.5409

4.5267 - 1 3.3621

5.0738 - 1 3.2144
-90-

Table 27

f,kc

10

20

40

100

135

N = 1. 2(10 ) v = 10 <(.. = 80. 397

arg T

9.1557 - 1 3.0251

8.7908 - 1 2.9661

8.3253 - 1 2.8705

7.4510 - 1 2.6008

6.9046 - 1 2.4235

H = m

0. 5 1= 84.270°

Itme are6 T

me

1.9541 - 1 3.3645

2.1348 - 1 3.2641

2.2589 - 1 3.1448

2.3241 - 1 2.8946

2.2923 - 1 2.7552

10

20

40

100

135

60 l 9.1490 - 1 3.0264

8.7801 - 1 2.9696

8.3147 - 1 2.8790

7.4874 - 1 2.6260

6.9992 - 1 2.4595

1.9080 - 1 3.3288

2.0558 - 1 3.2110

2.1344 - 1 3.0665

2.1334 - 1 2.7551

2.0861 - 1 2.5768

1020

40

100

135

120' 9.1490

8.7801

8.3147

7.4874

6.9992

3.0264

2.9696

2.8790

2.6260

2.4595

1.8695 - 1 3.3083

1.9961 - 1 3.1823

2.0453 - 1 3.0274

2.0014 - 1 2.7033

1.9509 - 1 2.5217

1020

40

100

135

180 v 9.1557 - 1 3.0251

8.7908 - 1 2.9661

8.3253 - 1 2.8705

7.4510 - 1 2.6008

6.9046 - 1 2.4235

1.8759 - 1 3.3260

2.0125 - 1 3.2117

2.0734 - 1 3.0769

2.0397 - 1 2.8160

1.9936 - 1 2.6787

10

20

40

100

135

240' 9. 1618

8.8004

8.3337

7.4055

6.7896

3.0239

2.9629

2.8627

2.5770

2.3892

1.9213

2.0907

2.1987

2.2552

2.2540

1 3.3627

1 3.2667

1 3.1591

1 2.9626

1 2.8617

10

20

40

100

135

300' 9.1618

8.8004

8.3337

7.4055

6.7896

3.0239

2.9629

2.8627

2.5770

2.3892

1.9609 - 1 3.3806

2.1532 - 1 3.2904

2.2944 - 1 3.1882

2.4039 - 1 2.9897

2.4105 - 1 2.8839
-91-

Table 28

N= 1.2(10 ) v = 10

f,kc

10

20

40

100

135

9.1533

8.7876

8.3215

7.4487

6.9023

<f>. = 80.397

are6 Tmr

3.0247

2.9656

2.8698

2.5990

2.4206

H = 0. 5 m

It

1.9170

2.0750

2.1662

2.1787

2.1383

- 1 - 1 - 1 - 1 - 1

90

u

are5 T

rr 3.3450

3.2377

3.1110

2.8558

2.7174

10 240' 9.2646 - 1

4>. = 82"

l 3.0427 1.7076 - 1 3.3226

10 240 v 9.1533 - 1

4> = 80. 397 v

3.0247 1.9170 - 1 3.3450
-92-

Table 29

v = 2(10

7

) <j>. = 82

f,kc N

10 10

3

1214

16

1820

22

10 3(10

3

) 1214

16

1820

22

Table 26.

° H = m

I = 6=0 a

]t1 ] ee ' arg6 T

ee 6.^519 - 1 3.3419

6.5469 - 1 3.3009

6.6116 - 1 3.2675

6.6559 - 1 3.2393

6.6857 - 1 3.2149

6.7049 - 1 3.1933

6.7161 — 1 3.1740

5.5219 _ 1 3.6488

5.7122 - 1 3.5881

5.8647 - 1 3.5405

5.9893 - 1 3.5017

6.0928 - 1 3.4692

6.1799 - 1 3.4413

6.2539 - 1 3.4169

f.kc It

10 10 8.8370

12 8.7334

14 8.6392

16 8.5524

18 8.4718

20 3.3962

22 8.3250

10 3(10

3

) 9.3116

12 9.2486

14 9.1911

16 9.1379

18 9.0882

20 9.0416

22 8.9974

arg6 Tmm

1 3.0179

1 3.0061

1 2.9952

1 2.9851

1 2.9756

1 2.9666

1 2.9580

1 3.0701

1 3.0633

1 3.0570

1 3.0511

1 3.0456

1 3.0404

1 3.0354
-93-

Table 30

f.kc

10

20

85 1

N=10" v=2(10')

IT1 ] arg T

ee J 6 ee 7.2131 - 1 3.3250

7.4617 - 1 3.1741

H =0.5 m 4^= 82" 1=0

]T ] em J 2.6656 - 3 3.7025 - 3

arg6 T

em

7.7741

6.7428

- 1 - 1

10

20

95

l 7.2131

7.4617

- 1 - 1 3.3250

3.1741

2.6657

3.7023

- 3 - 3 3.9190

3.8159

10

20

265( 5.6075

5.7979

- 1 - 1 3.3388

3.1823

2.3980

3.3133

- 3 - 3 3.9049

3.8053

10

20

275v 5.6075

5.7979

- 1 - 1 3.3388

3.1823

2.3980

3.3132

- 3 - 3 7.6336

6.6371

- 1 - 1

f,kc

10

20

8

5^ 6.1865

6.9197

- 1 - 1

N = 3(10 ) arg8 T

ee 3.6263

3.4235

]Tem]J 1.4572 - 3 2.1582 - 3

arg6 T

em

9.2521 - 1 8.3226 - 1

10

20

95

l 6.1865

6.9197

- 1 - 1 3.6263

3.4235

1.4573

2.1580

- 3 - 3 4.0668

3.9739

10

20

26 5

l 4.8355

5.3848

- 1 - 1 3.6652

3.4445

1.3266

1.9487

- 3 - 3 4.0470

3.9581

10

20

275^ 4.8355

5.3848

- 1 - 1 3.6652

3.4445

1.3267

1.9488

- 3 - 3 9.0534

8.1642

- 1 - 1
-94-

Table 31

N = 10

3 v=2(107

)

<j>. = 82° H =0.5 1=45°

f,kc A ]T ] arg T a J ee 1 & ee

10 85° 7.0174 - 1 3.3281

20 7.2689 - 1 3.1801

em J s em

2.8386 - 2 2.9522

2.6535 - 2 2.7597

10

20

95' 7.0174

7.2689

- 1 3.3281

- 1 3.1801

3.0621 - 2 3.0514

2.9381 - 2 2.9125

10

20

265( 5.9034

6.1140

- 1 - 1 3.3378

3.1861

3.7415 - 2 3.2931

3.9878 - 2 3.2480

20 275' 6.1140 - 1 3.1861 3.5960 - 2 3.1774

f,kc

10

20

85v

N = 3(10"')

JT ] 1 ee ' args T

ee ]T1 em J arg6 T

em

6.0206 - 1 3.6266 2.8729 - 2 3.1743

6.7305 - 1 3.4255 2.8910 - 2 3.0389

10

20

95l 6.0206

6.7305

- 1 - 1 3.6266

3.4255

3.0038

3.0773 - 2 3.22643.1168

10

20

265 5.0817

5.6653

- 1 - 1 3.6528

3.4398

3.299C

3.5889

- 2 — -> 3.3636

3.3143

10

20

275v 5.0817

5.6653

3.6528

3.4398

3.1554

3.3719

3.3257

3.2647
-95-

Table 32

f,kc

10

20

10

20

10

20

10

20

95

v

265 1

275^

N= 10 v = 2(10 ') cj>. = 82*

1JT , arg T mm

J

6 mm

8.8370 - 1 3.0179

8.3962 - 1 2.9665

,8370 - 1 3.0179

,3962 - 1 2.9665

8.8370 - 1 3.0179

8.3962 •- 1 2.9665

8.8370 - 1 3.0179

8.3962 - 1 2.9665

H =0.5 m

JT ] J me ' 2.6656 - 3 3.7022 - 3

2.6654 - 3 3.7023 - 3

2.3978

3.3133

2.3979

3.3135

arg6 T

me

3.9192

3.8160

7.7751

6.7434

7.6356

6.6383

3.9052

3.8055

f,kc

10

20

10

20

10

20

10

20

K

8 5

l

95

265

27!

9.3116

9.0416

9.3116

9.0416

9.3116

9.0416

9.3116

9.0416

N= 3(10

J

) arg6 Tmm ]TJ me I' arg6 T

me

3.0701 1.4571 - 3 4.0668

3.0404 2.1582 - 3 3.9738

3.0701

3.0404

3.0701

3.0404

3.0701

3.0404

1.4571

2.1582

1.3265

1.9488

1.3265

1.9488

9.2522

8.3217

9.0539

8.1636

4.0470

3.9580
-96-

Table 33

f,kc

10

20

8 5

v

N = 10 v= 2(10') h

= 82° H = 0. m

5 1=45°

JT ]

J mm. J arg8 Tmm JT ]

J me J arg6 T

me

8.8084 - 1 3.0134 3.0621 - 2 3.0514

8.3558 - 1 2.9595 2.9381 - 2 2.9125

10

20

95

l 8.8084 - 1 8.3558 - 1 3.0134

2.9595

2.8386

2.6535

- 2 2.9522

- 2 2.7597

10

20

265 8.8062 - 1 8.3470 - 1 3.0125

2.9582

3.4684

3.5960

- 2 3.2360

- 2 3.1774

20 275' 8.3470 - 1 2.9582 3.9878 - 2 3.2480

f.kc

10

20

10

20

10

20

10

20

]T* mm jJ

8 5

v

95

l

265v

275

9.2949

9.0177

9.2949

9.0177

9.2955

9.0173

9.2955

9.0173

N = 3(10

J

) args Tmm

3.0678

3.0369

3.0678

3.0369

3.0675

3.0363

3.0675

3.0363

]T 1 3.0038 - 2 3.0773 - 2

2.8729

2.8910

3.1554

3.3719

3.2990 - 2 3.5889 - 2

arg6 T

rr 3.2264

3.1168

3.1743

3.0389

3.3257

3.2647

3.3636

3.3143
-97-

Table 34

f,kc

10

20

40

100

135

8 5

l

N = 1. 2(10 ) V = 10°

*i = 80. 397° H = m

0., 5 1=

JItee J] arg T

ee ]TJ emJ

arg6 T

em

8.4403 1 4.1167 1.1729 - 2 9.4194 - 1 9.2670 1 3.6423 1.6242 - 2 6.0696 - 1 9.5818 1 3.3221 1.9089 - 2 3.3580 - 1 9.6005 1 2.9878 2.0290 - 2 5.9643 - 2 9.4978 1 2.8538 1.9797 - 2 6.2621

10

20

40

100

135

95

v 8.4403 - 1 4.1167

9.2670 - 1 3.6423

9.5818 - 1 3.3221

9.6004 - 1 2.9878

9.4978 - 1 2.8538

1.1729 - 2 4.0835

1.6242 - 2 3.7486

1.9089 - 2 3.4774

2.0290 - 2 3.2012

1.9797 - 2 3.1205

10

20

40

100

135

265° 5.2471 - 1 6.0941

5.0904 - 1 6.0744

5.0561 - 1 5.9638

5.1263 - 1 5.5575

5.1834 - 1 5.3119

3.4481

4.2576

4.7978

4.8717

4.4660

- 3 - 3 - 3 - 3 - 3

3.7658

3.5716

3.4147

3.2514

3.1969

10

20

40

100

135

2751 5.2471 - 1 6.0941

5.0904 - 1 6.0744

5.0561 - 1 5.9638

5.1263 - 1 5.5575

5.1833 - 1 5.3119

3.4478 - 3 6.2424 - 1 4.2575 - 3 4.3015 - 1 4.7983 - 3 2.7358 - 1 4.8726 - 3 1.0944 - 1 4.4660 - 3 5.5082 - 2
-98-

Table 3 5

N = 1.2(10) v = 10 f,kc

10

20

40

100

135

85 v 6.4381

7.6175

8.5248

9.0342

9.0050

4>. = 80. 397 1

arg5 T

ee 3.9727

3.6491

3.3960

3.1033

2.9962

H = m

0. 5 1=45°

]T J args T

em J ei 1.5214 - 1 3.0874

1.5233 - 1 2.8180

1.4657 - 1 2.4694

1.6437 - 1 1.8489

1.9153 - 1 1.5910

10

20

40

100

135

95^ 6.4381 - 1 3.9727

7.6175 - 1 3.6491

8.5248 - 1 3.3960

9.0342 - 1 3.1033

9.0050 - 1 2.9962

1.5646 - 1 3.1360

1.5800 - 1 2.8970

1.5273 - 1 2.5934

1.6694 - 1 2.0071

1.9084 - 1 1.7310

10

20

40

100

135

265c 2.5805 - 1 4.5010

2.4621 - 1 3.9960

2.4849 - 1 3.5959

2.1301 - 1 3.3757

2.0593 - 1 3.5364

1.9947 - 1 3.5907

2.4287 - 1 3.5769

3.0387 - 1 3.5581

4.4862 - 1 3.3824

5.0943 - 1 3.2139

10

20

40

100

135

275 2.5805

2.4621

2.4849

2.1301

2.0593

1 4.5010

1 3.9960

1 3.5959

1 3.3757

1 3.5364

1.9396 - 1 3.5773

2.3414 - 1 3.5661

2.9130 - 1 3.5561

4.3430 ~ 1 3.3925

4.9746 - 1 3.2230
-99-

Table 36

f.kc

10

20

40

100

135

85^

N = 1. 2(10"') v - -. io° 4,. = 80. 397° H = m

0. 5 1=

]T j

1 mm ' arg6 Tmm JT ] 1 me '

1 are6 T

me

9.7110 - 1 3.1102 1.1729 - 2 4.0335

9.6052 - 1 3.0958 1.6242 - 2 3.7486

9.4776 - 1 3.0728 1.9089 - 2 3.4774

9.3092 - 1 3.0125 2.0290 - 2 3.2012

9.2660 - I 2.9777 1.9796 - 2 3.12C5

10

20

40

100

135

95^ 9.7110 - 1 3.1102

9.6052 - 1 3.0958

9.4776 - 1 3.0728

9.3092 - 1 3.0125

9.2660 - 1 2.9777

1.1729 - 2 9.4195 - 1 1.6242 - 2 6.0697 - 1 1.9089 - 2 3.3580 - 1 2.0291 - 2 5.9640 - 2 1.9797 - 2 6.2621

10

20

40

100

135

265 1 9.7110 - 1 3.1103

9.6058 - 1 3.C959

9.4788 - 1 3.0729

9.3109 - 1 3.0124

9.2677 - 1 2.9776

3.4480

4.2576

4.7986

4.8725

4.4661

- 3 - 3 - 3 - 3 - 3

6.2423

4.3021

2.7361

1.0956

5.5060

- 1 - 1 - 1 - 1 - 2

10

20

40

100

135

275v 9.7110 - 1 3.1103

9.6058 - 1 3.0959

9.4788 - 1 3.0729

9.3109 - 1 3.0124

9.2677 - 1 2.9776

3.4480

4.2576

4.7985

4.8725

4.4661

- 3 - 3 - 3 - 3 - 3

3.7658

3.5718

3.4152

3.2512

3.1966
-100-

Table 37

f.kc

10

20

40

100

135

85

v

N= 1.2(10^)

]T1 mm ]J 9.2360

8.8944

8.5117

8.1082

7.9982

v = 10 4>. = 80.397

i

- 1 - 1 - 1 - 1 - 1

ares T

mi

3.0579

3.0295

2.9950

2.9058

2.8416

Hm =0.5

1.5646

1.5800

1.5273

1.6695

1.9084

1= 45l

arg T

me

1 3.1360

1 2.8970

1 2.5934

1 2.0071

1 1.7310

10

20

40

100

135

95^ 9.2360 - 1 3.0579

8.8944 - 1 3.0295

8.5117 - 1 2.9950

8.1082 - 1 2.9058

7.9982 - 1 2.8416

1.5214 - 1 3.0874

1.5233 - 1 2.8180

1.4657 - 1 2.4694

1.6437 - 1 1.3489

1.9153 - 1 1.591C

10

20

40

100

135

265' 9.3186 - 1 3.0412

8.9970 - 1 2.9842

8.4633 - 1 2.8882

6.6516 - 1 2.6748

5.4525 - 1 2.6455

1.9396 - 1 3.5773

2.3414 - 1 3.5661

2.9130 - 1 3.5561

4.3480 - 1 3.3925

4.9746 - 1 3.2230

10

20

40

100

135

275v 9.3186

8.9970

8.4633

6.6516

5.4525

1 3.0412

1 2.9842

1 2.8882

1 2.6748

1 2.6455

1.9947 - 1 3.5907

2.4287 - 1 3.5769

3.0387 - 1 3.5581

4.4862 - 1 3.3824

5.0943 - 1 3.2139
-101-

Table 38

f,kc

10

20

40

100

135.6

N = 5 v = 5(10

') 1 - 80° H = 0. 5 m

I 70°

]T

ee ' ar ^ T

ee 1 T1em ' are5 T

em

3.9146 - 2 1.6577 1.2296 - 3 4.9551

1.9652 - 2 1.6125 6.2033 - 4 4.8307

9.8356 - 3 1.5879 3.1088 - 4 4.7641

3.9351 - 3 1.5670 1.2439 - 4 4.7129

2.9019 - 3 1.5601 9.1730 - 5 4.6977

10

20

40

100

135.6

60< 3.9888 - 2 1.6579

2.0074 - 2 1.6134

9.7699 - 3 1.5855

4.1145 - 3 1.5880

2.4192 - 3 1.4962

3.8218 - 4 5.1402

1.7493 - 4 5.0420

4.1304 - 5 4.8638

7.3657 - 5 1.8948

1.5840 - 4 1.8175

10

20

40

100

135.6

120 3.9875 - 2 1.6578

2.0029 - 2 1.6126

1.0000 - 2 1.5879

4.0271 - 3 1.5678

2.9721 - 3 1.5588

2.0238

1.0220

5.1834

2.2116

2.1870

3 i..6868

3 1.6261

4 1.5921

4 1.5679

4 1.5631

10

20

40

100

135.6

180 3.9146

1.9652

9.8357

3.9352

2.9019

2 1.6576

2 1.6124

3 1.5877

3 1.5665

3 1.5595

3.5460 - 3 1.7075

1.7868 - 3 1.6359

8.9507 - 4 1.5961

3.5822 - 4 1.5604

2.6418 - 4 j.. 5480

10

20

40

100

135.6

240 3.8424 - 2 1.6580

1.9280 - 2 1.6127

9.6404 - 3 1.5875

3.8565 - 3 1.5600

2.8859 - 3 1.5662

2.6840 - 3 1.6990

1.3562 - 3 1.6317

6.8731 - 4 1.5938

2.9196 - 4 1.5643

2.8312 - 4 1.5594

10

20

40

100

135.6

300 3.8398 - 2 1.6580

1.9211 - 2 1.6133

9.5620 - 3 1.5885

4.1534 - 3 1.6142

2.5662 - 3 1.5072

3.1910 - 4 1.4542

1.4178 - 4 1.6285

3.2677 - 5 1.5166

6.3848 - 5 4.9886

1.3541 - 4 4.9211
-102-

Table 39

f,kc

N = 10 v = 5(10 ) 80

arg T

H = 0. 5 m

1= 70

ar g T

10

20

40

100

135.6

7.7098 - 2 1.7431

3.9150 - 2 1.6564

1.9654 - 2 1.6100

7.8698 - 3 1.5759

5.8040 - 3 1.5668

2.3766 - 3 5.1926

1.2300 - 3 4.9527

6.2052 - 4 4.8257

2.4889 - 4 4.7372

1.8352 - 4 4.7157

10

20

40

100

135.6

60^ 7.8513

3.9887

1.9940

8.0361

5.9864

2 1.7433

2 1.6567

2 1.6095

3 1.5756

3 1.5689

8.1397 - 4 5.5089

4.0574 - 4 5.1177

1.9715 - 4 4.9291

7.4280 - 5 4.9633

3.7436 - 5 4.0455

10

20

40

100

135.6

120 7.8510 - 2 1.7433

3.9871 - 2 1.6566

2.0019 - 2 1.6100

8.0057 - 3 1.5757

5.9227 - 3 1.5667

3.9476 - 3 1.8003

2.0235 - 3 1.6848

1.0182 - 3 1.6211

4.0237 - 4 1.5722

3.1148 - 4 1.5641

10

20

40

100

135,

180 7.7099

3.9150

1.9654

7.8699

5.8040

2 1.7430

2 1.6564

2 1.6099

3 1.5757

3 1.5665

6.8857 - 3 1.8407

3.5465 - 3 1.7051

1.7870 - 3 1.6310

7.1633 - 4 1.5745

5.2827 - 4 1.5584

10

20

40

100

135,

240 7.5667 - 2 1.7435

3.8438 - 2 1.6567

1.9291 1.6104

7.7677 - 3 1.5772

5.6351 - 3 1.5650

5.2200 - 3 1.8243

2.6838 - 3 1.6967

1.3515 - 3 1.6262

5.3461 - 4 1.5714

4.0249 - 4 1.5509

10

20

40

100

135,

300 7.5674 - 2 1.7435

3.8390 - 2 1.6570

1.9235 - 2 1.6104

7.7151 - 3 1.5763

5.9862 - 3 1.5698

7.3926 - 4 1.3695

3.4191 - 4 1.4408

1.6062 - 4 1.5108

5.9291 - 5 1.7221

3.4066 - 5 1.0706
-103-

Table 40

f,kc

10

20

40

100

135.6

N = 20 v = 5(10')

It

>. = 80

arg T

1.4603 - 1 1.8977

7.7114 - 2 1.7418

3.9158 - 2 1.6540

1.5733 - 2 1.5937

1.1606 - 2 1.5799

H 0.5 1= 70

K arg T

4.2293 - 3 5.6228

2.3780 - 3 5.1902

1.2307 - 3 4.9479

4.9722 - 4 4.7866

3.6699 - 4 4.7520

10

20

40

100

135.6

60^ 1.4867 - 1 1.8980

7.8542 - 2 1.7422

3.9901 - 2 1.6542

1.5910 - 2 1.5925

1.1618 - 2 1.5775

1.7175 - 3 6.1601

8.1334 - 4 5.5028

3.8489 - 4 5.1206

2.2170 - 4 4.8451

9.6167 - 5 4.7808

10

20

40

100

135.6

120 1.4867 - 1 1.8980

7.8534 - 2 1.7421

3.9877 - 2 1.6540

1.6003 - 2 1.5934

1.1815 - 2 1.5798

7.2499 - 3 1.9982

3.9501 - 3 1.7984

2.0259 - 3 1.6800

8.1525 - 4 1.5967

6.0655 - 4 1.5766

10

20

40

100

135.6

180 1.4603 - 1 1.8977

7.7114 - 2 1.7418

3.9158 - 2 1.6539

1.5733 - 2 1.5936

1.1606 - 2 1.5798

1.2442 - 2 2«0730

6.8878 - 3 1.8383

3.5477 - 3 1.7003

1.4313 - 3 1.6025

1.0562 - 3 1.5791

10

20

40

100

135.6

240 1.4326 - 1 1.8983

7.5688 - 2 1.7423

3.8445 - 2 1.6543

1.5423 - 2 1.5938

1.1373 - 2 1.5798

9.4889

5.2234

2.6869

1.0765

8.0475

3 2.0425

3 1.8221

3 1.6910

3 1.5990

4 1.5757

10

20

40

100

135.6

300" 1.4327 - 1 1.8983

7.5694 - 2 1.7423

3.8490 - 2 1.6540

1.5423 - 2 1.5940

1.1418 - 2 1.5804

1.7990 - 3 1.3962

7.3830 - 4 1.3627

3.2253 - 4 1.4361

1.8316 - 4 1.5061

7.7367 - 5 1.4709
-104-

Table 41

f,kc

10

20

40

100

135.6

N = 50 v = 5(10 ) >. = 80

' ee ' 2.8925 - 1 1.7632 - 1 9.5388 - 2 3.9181 - 2 2.8963 - 2

arg T

2.2162

1.9642

1.7805

1.6465

1.6191

H = 0. 5 m1= 70

v K arg T

6.8461 - 3 2.4416

4.9252 - 3 5.8094

2.9057 - 3 5.2995

1.2327 - 3 4.9335

9.1387 - 4 4.8608

- 1

10

20

40

100

135,

60" 2.9440 - 1 2.2161

1.7949 - 1 1.9645

9.7140 - 2 1.7807

3.9905 - 2 1.6465

2.9537 - 2 1.6192

4.4235 - 3 9.6075 - 1 2.1901 - 3 1.3060 - 1 1.0367 - 3 5.6807

4.0951 - 4 5.0842

3.1248 - 4 4.9767

10

20

40

100

135.6

120 2.9440

1.7949

9.7134

3.9904

2.9503

1 2.2161

1 1.9644

2 1.7807

2 1.6465

2 1.6190

1.3011 - 2 2.3609

8.5973 - 3 2.0787

4.8529 - 3 1.8474

2.0257 - 3 1.6669

1.4967 - 3 1.6279

10

20

40

100

135.6

180" 2.8925 - 1 2.2162

1.7632 - 1 1.9642

9.5388 - 2 1.7804

3.9181 - 2 1.6465

2.8963 - 2 1.6190

2.0949 - 2 2.4943

1.4608 - 2 2.1675

8.4382 - 3 1.8966

3.5508 - 3 1.6858

2.6306 - 3 1.6409

10

20

40

100

135.6

240 2.8363 - 1 2.2165

1.7295 - 1 1.9648

9.3614 - 2 1.7811

3.8452 - 2 1.6470

2.8453 - 2 1.6196

1.6379

1.1183

6.4049

2.6871

1.9866

2 2.4375

2 2.1307

3 1.8760

3 1.6760

3 1.6324

10

20

40

100

135.6

300 2.8363 - 1 2.2165

1.7296 - 1 1.9648

9.3599 - 2 1.7811

3.8441 - 2 1.6470

2.8378 - 2 1.6199

5.2507 - 3 1.7475

2.4010 - 3 1.4452

9.8068 - 4 1.3507

3.4382 - 4 1.4048

2.5883 - 4 1.4325
-105-

Table 42

f.kc

10

20

40

100

135.6

N = 100 v = 5(10 ) <b. = 80

i

arg T^

4.0799 - 1 2.4805

2.8939 - 1 2.2154

1.7646 - 1 1.9621

7.7236 - 2 1.7322

5.7491 - 2 1.6833

H - 0. 5 m

K

8.3602

6.8556

4.9361

2.3885

1.7982

70

v

- 3 - 3 - 3 - 3 - 3

argB T

ei 1.0403

2.42 51

5.8054

5.1715

5.0393

- 1

10

20

40

100

135.6

60l 4.1534 - 1 2.4801

2.9454 - 1 2.2153

1.7963 - 1 1.9623

7.8662 - 2 1.7324

5.8535 - 2 1.6832

7.6156 - 3 1.6545

4.4241 - 3 9.5845 - 1 2.1926 - 3 1.2694 - 1 8.2050 - 4 5.4791

5.8281 - 4 5.2698

10

20

40

100

135.6

120 4.1534 - 1 2.4801

2.9454 - 1 2.2153

1.7963 - 1 1.9623

7.8657 - 2 1.7323

5.8549 - 2 1.6833

1.6784

1.3017

8.6047

3.9567

2.9625

2 2**123

2 2«?592

3 2.0748

3 1.7808

3 1.7143

10

20

40

100

135.6

180' 4.0799 - 1 2.4805

2.8939 - 1 2.2154

1.7646 - 1 1.9621

7.7237 - 2 1.7322

5.7491 - 2 1.6833

2.4915

2.0961

1.4624

6.9041

5.1829

2 2.7732

2 2.4926

2 2.1634

3 1.8195

3 1.7418

10

20

40

100

135.6

240 4.0285 - 1 2.4821

2.8599 - 1 2.2172

l".7458 - 1 1.9638

7.6480 - 2 1.7332

5.6931 - 2 1.6841

3.5964 - 2 2.9389

3.2887 - 2 2.6301

2.4257 - 2 2.2550

1.1773 - 2 1.8600

8.8648 - 3 1.7708

10

20

40

100

135.6

300' 4.0009 - 1 2.4805

2.8377 - 1 2.2157

1.7309 - 1 1.9629

7.5779 - 2 1.7330

5.6429 - 2 1.6840

9.0014 - 3 2.1120

5.2514 - 3 1.7448

2.4033 - 3 1.4411

7.4413 - 4 1.3379

4.9967 - 4 1.3582
-106-

Table 43

f.kc

10

20

40

100

135.6

N= 300

K

5.5010

4.6943

3.6050

2.0441

1.5996

v = 5(10 ) >. = 80

arg T

2.8361

2.6220

2.3711

2.0175

1.9138

H = 0. 5 m

K

70^

arg T

1.1749 - 2 2.0622

9.4259 - 3 1.4704

7.7635 - 3 7.0709

5.5359 - 3 5.9657

4.5991 - 3 5.6791

- 1

10

20

40

100

135.6

60 l 5.6023 - 1 2.8356

4.7796 - 1 2.6215

3.6695 - 1 2.3708

2.0806 - 1 2.0175

1.6284 - 1 1.9139

1.3026 - 2 2.3728

9.6702 - 3 1.9665

6.2276 - 3 1.3842

2.6822 - 3 3.2811

1.9303 - 3 6.2369

- 1

10

20

40

100

135.6

120 5.6023 - 1 2.8356

4.7796 - 1 2.6215

3.6695 - 1 2.3708

2.0807 - 1 2.0176

1.6284 - 1 1.9139

2.0646 - 2 2.8908

1.8503 - 2 2.7296

1.5360 - 2 2.5105

9.7893 - 3 2.1359

7.8841 - 3 2.0098

10

20

40

100

135.6

180 5.5010

4.6943

3.6050

2.0441

1.5996

2.8361

2.6220

2.3711

2.0175

1.9138

2.6769 - 2 3.C456

2.6082 - 2 2*8944

2.3641 - 2 2.6632

1.6472 - 2 2.2360

1.3493 - 2 2.0891

10

20

40

100

135.6

240 5.3959 - 1 2.8361

4.6038 - 1 2.6220

3.5349 - 1 2.3713

2.0049 - 1 2.0183

1.5692 - 1 1.9148

2.3066 - 2 2.9710

2.1603 - 2 2.8185

1 .8838 - 2 2.5959

1.2661 - 2 2.1926

1.0305 - 2 2.0538

10

20

40

100

135.6

300 5.3959 - 1 2.8361

4.6038 - 1 2.6220

3.5349 - 1 2.3713

2.0049 - 1 2.0183

1.5693 - 1 1.9147

1.4526 - 2 2.5773

1.1208 - 2 2.3028

7.4259 - 3 1.9559

3.0336 - 3 1.4831

2.0671 - 3 1.3759
-107-

Table 44

f, kc

N v = 5(10')

]T ]

J mm *

<t>. = 80

i

arg T

H = 0. 5 m

1= 70

It are T

10

20

40

100

135.6

4.0540 - 2 1.6503

2.0344 - 2 1.6089

1.0181 - 2 1.5863

4.0733 - 3 1.5669

3.0038 - 3 1.5605

3.5469 - 3 1.7072

1.7905 - 3 1.6367

9.1514 - 4 1.5982

2.9625 - 4 1.5600

2.4206 - 4 1.5382

10

20

40

100

135.6

60" 4.0649 - 2 1.6507

2.0401 - 2 1.6090

1.0214 - 2 1.5864

4.0953 - 3 1.5675

3.0303 - 3 1.5617

2.0415 - 3 1.6866

9.6388 - 4 1.6233

5.1233 - 4 1.5925

1.9296 - 4 1.2430

1.3110 - 4 2.1704

10

20

40

100

135.

120 4.0647 - 2 1.6507

2.0398 - 2 1.6091

1.0208 - 2 1.5863

4.0827 - 3 1.5668

3.0052 - 3 1.5604

3.9817

1.9901

- 4

- 4 5.1319

4.9538

9.7032

5.1216

4.2788

- 5 - 5 - 5

4.8402

5.3756

3.9718

10

20

40

100

135.6

180 4.0540 - 2 1.6502

2.0344 - 2 1.6088

1.0181 - 2 1.5861

4.0733 - 3 1.5665

3.0039 - 3 1.5600

1.2304 - 3 4.9549

6.1849 - 4 4.8308

3.0950 - 4 4.7629

9.4791 - 5 4.7173

3.1569 - 5 4.5841

10

20

40

100

135.6

240 4.0647 - 2 1.6507

2.0399 - 2 1.6091

1.0210 - 2 1.5863

4.0865 - 3 1.5669

3.0204 - 3 1.5605

3.3376

1.6057

7.8676

8.3436

5.2497

- 4 - 4 - 5 - 5 - 5

1.4323

1.4957

1.7104

2.7945

5.7501

10

20

40

100

135.6

300 4.0648 - 2 1.6507

2.0400 - 2 1.6090

1.0214 - 2 1.5863

4.0938 - 3 1.5672

3.0276 - 3 1.5613

2.6951 - 3 1.6991

1.3771 - 3 1.6333

6.6355 - 4 1.5926

3.8147 - 4 2.0434

2.4587 - 4 1.0770
-108-

Table 45

f, kc

10

20

40

100

135.6

N = 10

7.9955

4.0544

2.0346

8.1462

6.0077

V =

,1

5(10 ) <j>. = 80

i

are T ° mm

- 2 1.7285

- 2 1.6491

- 2 1.6065

- 3 1.5751

- 3 1.5666

H 0. 5 I = 70

It,

6.8855

3.5470

1.7911

7.2816

5.1470

are& T ° Tme

3 1.8409

3 1.7058

3 1.6315

4 1.5780

4 1.5583

10

20

40

100

135.6

60

v 8.0149 - 2 1.7293

4.0650 - 2 1.6495

2.0401 - 2 1.6067

8.1691 - 3 1.5749

6.0269 - 3 1.5670

3.9487 - 3 1.8005

2.0342 - 3 1.6839

1.0429 - 3 1.6217

4.2477 - 4 1.5722

2.5240 - 4 1.5189

10

20

40

100

135.6

120 8.0149 - 2 1.7293

4.0651 - 2 1.6495

2.0400 - 2 1.6067

8.1688 - 3 1.5751

6.0230 - 3 1.5665

8.1287 - 4 5.5127

3.9938 - 4 5.1351

1.9703 - 4 4.8526

7.8310 - 5 4.7576

5.9574 - 5 4.8259

10

20

40

100

135.6

180 7.9955 - 2 1.7285

4.0544 - 2 1.6491

2.0346 - 2 1.6065

8.1462 - 3 1.5749

6.0078 - 3 1.5663

2.3771 - 3 5.1924

1.2290 - 3 4.9522

6.2383 - 4 4.8247

2.5347 - 4 4.7362

1.3947 - 4 4.7152

10

20

40

100

135.6

240 8.0150 - 2 1.7293

4.0651 - 2 1.6495

2.0401 - 2 1.6067

8.1676 - 3 1.5751

6.0244 - 3 1.5666

7.3809 - 4 1.3711

3.3477 - 4 1.4356

1.6399 - 4 1.4223

7.2389 - 5 1.2546

4.3875 - 5 2.0159

10

20

40

100

135.6

300 8.0150 - 2 1.7293

4.0650 _ 2 1.6495

2.0400 - 2 1.6067

8.1685 - 3 1.5750

6.0258 - 3 1.5668

5.2177 - 3 1.8248

2.7027 - 3 1.6960

1.3674 — 3 1.6298

5.5115 - 4 1.5717

3.9179 - 4 1.5570
-109-

Table 46

f,kc

10

20

40

100

135. e

N = 20

* T

v = 5(10') ). = 80

arg T

1.5215 - 1 1.8705

7.9969 - 2 1.7274

4.0551 - 2 1.6468

1.6286 - 2 1.5914

1.2014 - 2 1.5786

H = 0. 5 m

1= 70'

arg T

1.2442 - 2 2.0729

6.8873 - 3 1.8381

3.5399 - 3 1.7005

1.4254 - 3 1.6049

1.0384 - 3 1.5830

10

20

40

100

135.

60l 1.5243 - 1 1.8717

8.0164 - 2 1.7282

4.0659 - 2 1.6472

1.6324 - 2 1.5914

1.2048 - 2 1.5787

7.2455 - 3 1.9982

3.9476 - 3 1.7979

2.0049 - 3 1.6805

8.5866 - 4 1.5997

5.9975 - 4 1.5677

10

20

40

100

135.6

120 1.5243 - 1 1.8717

8.0164 - 2 1.7282

4.0658 - 2 1.6472

1.6330 - 2 1.5915

1.2046 - 2 1.5787

1.7145 - 3 6.1610

8.1538 - 4 5.5128

3.9835 - 4 5. 1208

1.5601 - 4 4.8107

1.1698 - 4 4.9342

10

20

40

100

135,

180 1.5215

7.9970

4.0551

1.6286

1.2014

1 1.8705

2 1.7273

2 1.6467

2 1.5913

2 1.5785

4.2290 - 3 5.6227

2.3771 - 3 5.1898

1.2285 - 3 4.9477

5.0018 - 4 4.7870

3.6305 - 4 4.7508

10

20

40

100

135.

240 1.5243 - 1 1.8717

8.0164 - 2 1.7282

4.0659 - 2 1.6472

1.6329 - 2 1.5915

1.2047 - 2 1.5787

1.7967 - 3 1.3975

7.3734 - 4 1.3715

3.3351 - 4 1.4392

1.2589 - 4 1.5264

9.1249 - 5 1.6369

10

20

40

100

135.6

300 1.5243 - 1 1.8717

8.0164 - 2 1.7282

4.0659 - 2 1.6472

1.6325 - 2 1.5915

1.2048 - 2 1.5787

9.4869 - 3 2.0428

5.2299 - 3 1.8214

2.6805 - 3 1.6913

1.0410 - 3 1.5957

8.8440 - 4 1.5857
-110-

Table 47

f.kc

N = 50 v = 5(10

7

) 4>. = 80°

IT I arg T

H 0. 5 1= 70

are T

10

20

40

100

135.6

3.0657 - 1 2.1634

1.8421 - 1 1.9317

9.9009 - 2 1.7627

4.0572 - 2 1.6397

2.9985 - 2 1.6145

2.0948 - 2 2.4943

1.4607 - 2 2.1674

8.4369 - 3 1.8968

3.5487 - 3 1.6865

2.6260 - 3 1.6412

10

20

40

100

135,

60 l 3.0681 - 1 2.1645

1.8451 - 1 1.9330

9.9236 - 2 1.7636

4.0678 - 2 1.6401

3.0063 - 2 1.6147

1 .3013 - 2 2.3609

8.5962 - 3 2.0789

4.8519 - 3 1.8471

2.0190 - 3 1.6662

1.5152 - 3 1.6289

10

20

40

100

135.6

120 3.0681

1.8451

9.9237

4.0679

3.0066

1 2.1645

1 1.9330

2 1.7636

2 1.6401

2 1.6147

4.4229 - 3 9.6098 - 1 2.1900 - 3 1.3232 - 1 1.0316 - 3 5.6808

3.9824 - 4 5.0973

2.9501 - 4 5.0066

10

20

40

100

135.6

180 3.0657 - 1 2.1634

1.8421 - 1 1.9317

9.9009 - 2 1.7627

4.0572 - 2 1.6397

2.9985 - 2 1.6144

6.8459 - 3 2.4412

4.9252 - 3 5.8093

2.9055 - 3 5.2996

1.2346 - 3 4.9329

9.1379 - 4 4.8603

10

20

40

100

135.6

240 3.0681

1.8451

9.9237

4.0679

3.0065

1 2.1645

1 1.9330

2 1.7636

2 1.6401

2 1.6147

5.2485 - 3 1.7476

2.4001 - 3 1.4467

9.7603 - i* 1.3515

3.3462 - 4 1.3966

2.4389 - 4 1.4176

10

20

40

100

135.

300" 3.0681 - 1 2.1645

1.8451 - 1 1.9330

9.9237 - 2 1.7636

4.0678 - 2 1.6401

3.0063 - 2 1.6147

1.6379 - 2 2.4375

1.1182 - 2 2.1307

6.4022 - 3 1.8760

2.6821 - 3 1.6758

2.0041 - 3 1.6334
-IllTable 48

N = 100 5(10

7

)

<|>. = 80

i H = 0. 5 m

I = 70

f.kc

10

20

40

100

135.

ars T

4.4254 - 1 2.4019

3.0670 - 1 2.1626

1.8434 - 1 1.9297

8.0079 - 2 1.7182

5.9557 - 2 1.6733

are& TT 2.4916 - 2 2.7732

2.0960 - 2 2.4926

1.4624 - 2 2.1635

6.9011 - 3 1 .8196

5.1748 - 3 1.7421

10

20

40

100

135.6

60

k 4.4270 - 1 2.4026

3.0694 - 1 2.1637

1.8463 - 1 1.9310

8.0275 - 2 1.7190

5.9712 - 2 1.6739

1.6783 - 2 2.6124

1.3016 - 2 2.3593

8.6036 - 3 2.0744

3.9541 - 3 1.7809

2.9568 - 3 1.7135

10

20

40

100

135.6

120 4.4270 - 1 2.4026

3.0694 - 1 2.1637

1.8463 - 1 1.9310

8.0275 - 2 1.7190

5.9710 - 2 1.6739

7.6153 - 3 1.6546

4.4262 - 3 9.5845 - 1 2.1939 - 3 1.2599 - 1 8.1650 - 4 5.4840

5.9402 - 4 5.2710

10

20

40

100

135.6

180 4.4254 - 1 2.4019

3.0670 - 1 2.1626

1.8434 - 1 1.9297

8.0079 - 2 1.7182

5.9557 - 2 1.6733

8.3605

6.8558

4.9361

2.3885

1.7977

- 3 - 3 - 3 - 3 - 3

1.0408

2.4249

5.8053

5.1713

5.0394

- 1

10

20

40

100

135.6

240 4.4486 - 1 2.4037

3.0856 - 1 2.1640

1.8556 - 1 1.9306

8.0624 - 2 1.7185

5.9964 - 2 1.6735

9.3710 - 3 2.1116

5.4693 — "3 1.7474

2.5085 - 3 1.4453

7.7620 - 4 1.3460

5.4067 - 4 1.3623

10

20

40

100

135.6

300 4.4267 - 1 2.4027

3.0694 - 1 2.1638

1.8464 - 1 1.9310

8.0275 - 2 1.7190

5.9712 - 2 1.6738

2.0161 - 2 2.7014

1.6388 - 2 2.4357

1.1194 - 2 2.1262

5.2389 - 3 1.8013

3.9126 - 3 1.7279
-112-

Table 49

f,kc

10

20

40

100

135.6

N = 300 v = 5(10') d>. a 80

i

arg T

6.3264 - 1 2.6970

5.1838 - 1 2.5246

3.8679 - 1 2.3040

2.1409 - 1 1.9805

1.6675 - 1 1.8849

H =0.5 m

1= 70

arg T

2.6769 - 2 3.0456

2.6082 - 2 2.8944

2.3641 - 2 2.6632

1.6472 - 2 2.2360

1.3492 - 2 2.0893

10

20

40

100

135.6

60

l 6.3275 - 1 2.6973

5.1852 - 1 2.5251

3.8697 - 1 2.3049

2.1439 - 1 1.9817

1.6705 - 1 1.8861

2.0646 - 2 2.8908

1.8504 - 2 2.7296

1.5361 - 2 2.5105

9.7896 - 3 2.1358

7.8835 - 3 2.0094

10

20

40

100

135.6

120 6.3275 - 1 2.6973

5.1852 - 1 2.5251

3.8697 - 1 2.3049

2.1439 - 1 1.9817

1.6705 - 1 1.8861

1.3026 - 2 2.3728

9.6703 - 3 1.9665

6.2274 - 3 1.3842

2.6811 - 3 3.2775

1.9346 - 3 6.2370

10

20

40

100

135.6

180 6.3264

5.1838

3.8679

2.1409

1.6675

2.6970

2.5246

2.3040

1.9804

1.8848

1.1749 - 2 2.0622

9.4257 - 3 1.4704

7.7636 - 3 7.0707

5.5358 - 3 5.9656

4.5988 - 3 5.6792

- 1

10

20

40

100

135.6

240 6.3267

5.1847

3.8696

2.1439

1.6705

2.6973

2.5251

2.3049

1.9817

1.8861

1.4527 - 2 2.5773

1.1208 - 2 2.3028

7.4252 - 3 1.9559

3.0340 - 3 1.4835

2.0708 - 3 1.3757

10

20

40

100

135.6

300 6.3267

5.1847

3.8696

2.1439

1.6705

2.6973

2.5251

2.3049

1.9817

1.8861

2.3066 - 2 2.9710

2.1603 - 2 2.8184

1.8838 - 2 2.5959

1.2660 - 2 2.1926

1.0306 - 2 2.0540
-113-

Table 50

N = 300 2(10

7

) 82 H 0. 5

f,kc

10

1214

16

18

20

22

10

1214

16

18

20

22

10

1214

16

18

20

22

10

1214

16

18

20

22

10

12

14

16

18

20

22

10

12

14

16

1820

22

arg T ar g T

60 l

120

180

240

300

6.6488 - 1 3.0827

6.5998 - 1 3.0447

6.5409 - 1 3.0120

6.4770 - 1 2.9831

6.4107 - 1 2.9569

6.3435 - 1 2.9330

6.2762 —* 1 2.9109

7.3179 _ 1 3.0712

7.2554 - 1 3.0327

7.1828 - 1 2.9995

7.1052 - 1 2.9700

7.0255 - 1 2.9435

6.9452 - 1 2.9192

6.8654 ~ 1 2.8967

7.3179 _ 1 3.C712

7.2554 - 1 3.0327

7.1828 - 1 2.9995

7.1052 - 1 2.9700

7.0255 - 1 2.9435

6.9452 - 1 2.9192

6.8654 •~ 1 2.8967

6.6488 _ 1 3.0827

6.5998 - 1 3.0447

6.5409 - 1 3.0120

6.4770 - 1 2.9831

6.4107 - 1 2.9569

6.3435 - 1 2.9330

6.2762 — 1 2.9109

5.8771 _ 1 3.0753

5.8268 - 1 3.0363

5.7685 - 1 3.0028

5.7061 - 1 2.9732

5.6421 - 1 2.9466

5.5777 - 1 2.9223

5.5135 — 1 2.8998

5.8771 _ 1 3.0753

5.8268 - 1 3.0363

5.7685 - 1 3.0028

5.7061 - 1 2.9732

5.6421 - 1 2.9466

5.5777 - 1 2.9223

5.5135 - 1 2.8998

5.0858 - 2 6.0790 - 1 5.4791 - 2 5.7702 - 1 5.8235 - 2 5.4939 - 1 6.1297 - 2 5.2411 - 1 6.4050 - 2 5.0063 - 1 6.6546 - 2 4.7858 - 1 6.8824 "~ 2 4.5770 - 1

2.6303 _ 2 5.9984 - 1 2.8300 - 2 5.6903 - 1 3.0050 - 2 5.4154 - 1 3.1605 - 2 5.1640 - 1 3.3004 - 2 4.9304 - 1 3.4272 - 2 4.7109 - 1 3.5430 ~ -> c 4.5028 - 1

2.6303 _ 2 3.7414

2.8300 - 2 3.7106

3.0050 - 2 3.6831

3.1605 - 2 3.6580

3.3004 - 2 3.6346

3.4272 - 2 3.6127

3.5430 — 2 3.5919

5.0858 2 3.7495

5.4791 - 2 3.7186

5.8235 - 2 3.6910

6.1297 - 2 3.6657

6.4050 - 2 3.6422

6.6546 - 2 3.6202

6.8824 — 2 3.5993

2.3818 _ 2 3.7337

2.5606 - 2 3.7035

2.7170 - 2 3.6765

2.8561 - 2 3.6518

2.9812 - 2 3.6288

3.0946 - 2 3.6072

3.1980 ~ 2 3.5867

2.3818 2 5.9208 - 1 2.5606 - 2 5.6188 - 1 2.7170 - 2 5.3490 - 1 2.8562 - 2 5. 1020 - 1 2.9812 - 2 4.8723 - 1 3.0946 - 2 4.6563 - 1 3.1980 - 2 4.4513 - 1
-114-

Table 51

f.kc

10

1214

16

1820

22

10

1214

16

IB20

22

10

121416

1820

22

10

1214

16

1820

22

10

1214

16

18

20

22

10

12

14

16

1820

22

N = 300 V = = 2(10

7

) $. =82° H = 0. 5 1= 45°

i m

o ]T J

arg T ]T ]

' em ' are T

a ee ° ee 6 em

6.6882 - 1 3.0845 2.5210 — ~> 1 .6407

6.6394 - 1 3.0472 2.660 1 - 2 1.5041

6.5809 - 1 3.0152 2.8032 - 2 1.3917

6.5174 - 1 2.9868 2.9452 - 2 1.2972

6.4515 - 1 2.9613 3.0834 - 2 1.2162

6.3847 - 1 2.9379 3.2165 - 2 1.1457

6.3179 "* 1 2.9163 3.3438 - 2 1.0835

60° 7.1623 _ 1 3.0781 2.2823 - 2 1.9S76

7.1056 - 1 3.0405 2.3091 - 2 1.8480

7.0389 - 1 3.00H1 2.3517 ~ 2 1.7258

6.9671 - 1 2.9795 2.4045 - 2 1.6182

6.8930 - 1 2.9537 2. 46 J 5 _ t 1.5228

6.8181 - 1 2.9302 2.5261 - 2 1.4377

6.7435 ~* 1 2.9084 2.5905 -> C 1.3613

120° 7.1623 _ 1 3.0781 3.9311 - 2 3.1359

7.1056 - 1 3.0405 3.9374 - 2 3.1161

7.0389 - 1 3.0081 3.9372 - 2 3.0984

6.9671 - 1 2.9795 3.9329 - 2 3.0824

6.8930 - 1 2.9537 3.9260 - 2 3.0677

6.8181 - 1 2.9302 3.9173 - 2 3.0539

6.7435 ~ 1 2.^084 3.9074 - 2 3.0409

180° 6.6882 _ 1 3.0 3 45 6.2063 - 2 3.3391

6.6394 - 1 3.0472 6.4214 _ 5 3.3 764

6.5809 - 1 3.0152 6.6068 - 2 3. 3641

6.5174 - 1 2.9868 6.7696 - 2 3.2:

6.4515 - 1 2.9613 6.9145 - 2 3.3400

6.3847 - 1 2.9379 7.0446 - 2 3.3282

6.3179 " 1 2.9163 7.1623 - 2 3.31o6

240° 6.1629 _ 1 3.0816 5.2905 - 2 3.3340

6.1145 - 1 3.0438 5.4360 - 2 3.3208

6.0575 - 1 3.0114 5.5597 > 3. 3082

5.9961 - 1 2.9828 5.6669 - 2 3.2960

5.9327 - 1 2.9570 5.7613 _ n 5.8686 - 1 2.9335 5.8454 - 2 3.2725

5.8047 " 1 2.9117 5.9208 - 2 3.2611

300° 6.1629 _ 1 3.0816 2.5403 - 2 2.7807

6.1145 - 1 3.0438 2.4659 _ 7 2.7285

6.0575 - 1 3.0114 2.3968 — 2 2.6804

5.9961 - 1 2.9828 2.3327 - 2 2.6355

5.9327 - 1 2.9570 2.2729 - 2 2.5933

5.8686 - 1 2.9335 2.2169 - 2 2.5532

5.8047 - 1 2.9117 2.1645 - 2 2.5149
-115-

Table 52

N = 300 v =2(10 ) 82

v H 0.5

f,kc <>.

C 10

1214

16

18

?0

22

10

1214

16

18

222

10

1214

16

18

20

22

10

1214

16

1820

22

10

1214

16

18

20

22

10

1214

16

18

20

22

60 l

120

180

240

300'

arg T

6.7248 - 1 3.0863

6.6764 - 1 3.0497

6.6183 - 1 3.0182

6.5553 - 1 2.9904

6.4898 - 1 2.9654

6.4235 - 1 2.9425

6.3571 ~ 1 2.9214

6.7936 _ 1 3.0359

6.7445 - 1 3.0493

6.6857 - 1 3.0178

6.6219 - 1 2.9900

6.5556 - 1 2.9650

6.4885 - 1 2.9421

6.4213 " 1 2.9210

6.7936 _ 1 3.0859

6.7445 - 1 3.0493

6.6857 - 1 3.0178

6.6219 - 1 2.9900

6.5556 - 1 2.9650

6.4885 - 1 2.9421

6.4213 — 1 2.9210

6.7248 _ 1 3.0863

6.6764 - 1 3.0497

6.6183 - 1 3.0182

6.5553 - 1 2.9904

6.4898 - 1 2.9654

6.42 3 5 - 1 2.9425

6.3571 — 1 2.9214

6.6551 mm 1 3.0865

6.6072 - 1 3.0499

6.5497 - 1 3.0184

6.4873 - 1 2.9906

6.4225 - 1 2.9655

6.3568 - 1 2.9427

6.2911 — 1 2.9216

6.6551 _ 1 3.0865

6.6072 - 1 3.0499

6.5497 - 1 3.0184

6.4873 - 1 2.9906

6.4225 - 1 2.9655

6.3568 - 1 2.9427

6.2911 - 1 2.9216

1= 84.27

arg T

3.9685 - 2 2.8933

3.8765 - 2 2.8549

3.7895 - 2 2.8203

3.7073 - 2 2.7886

3.6296 - 2 2.7593

3.5560 - 2 2.7318

3.4862 — 2 2.7058

4.0309 _ 2 2.9045

3.9409 - 2 2.8671

3.8554 - 2 2.8335

3.7745 - 2 2.8028

3.6977 - 2 2.7744

3.6250 - 2 2.7478

3.5558 ~~ 2 2.7228

4.3790 — 2 2.9891

4.3150 - 2 2.9600

4.2522 - 2 2.9342

4.1912 - 2 2.9108

4.1325 - 2 2.8892

4.0760 - 2 2.8692

4.0216 — 2 2.8504

4.6818 _ 2 3.0528

4.6450 - 2 3*0292

4.6063 - 2 3.0082

4.5672 - 2 2.9892

4.5283 - 2 2.9716

4.4900 - 2 2.9553

4.4525 — 2 2.9399

4.6122 _ 2 3.0449

4.5724 - 2 3.0208

4.5311 - 2 2.9993

4.4896 - 2 2.9798

4.4487 - 2 2.9619

4.4085 - 2 2.9452

4.3694 — 2 2.9294

4.2464 2 2.9704

4.1772 - 2 2.9399

4.1100 - 2 2.9127

4.0454 - 2 2.8879

3.9834 - 2 2.8651

3.9240 - 2 2.8438

3.8671 - 2 2.8238
f , kc d> a

10

121416

18

20

22

10 240°

-116-

Table 53

N= 300 v = 2(10

7

) 4>. = 82° H = m .5 I = 90°

JTJ ee ] are6 T

ee J T ] em

'

are6 T

em

6.7255 - 1 3.0863 4.3311 - 2 2.9796

6.6772 - 1 3.0497 4.2640 - 2 2.9498

6.6191 - 1 3.0183 4.1985 - 2 2.9233

6.5560 - 1 2.9905 4.1353 - 2 2.8993

6.4906 - 1 2.9654 4.0746 - 2 2.8771

6.4242 - 1 2.9426 4.0163 - 2 2.8565

6.3579 — 1 2.9215 3.9604 — 2 2.8371

6.7255 1 3.0863 4.3311 _ 2 2.9796
-117-

Table 54

N = 300 v = 2(10') = 82 H 0. 5 I =

f,kc

10

1214

16

18

20

22

10

1214

16

18

20

22

10

121416

18

20

22

10

1214

16

18

20

22

10

1214

16

1820

22

10

1214

16

1820

22

60

120

180

240

300

K are T

7.9671 - 1 2.9082

7.7902 - 1 2.8855

7.6304 - 1 2.8648

7.4844 - 1 2.8455

7.3496 - 1 2.8275

7.2241 - 1 2.8104

7.1067 *~ 1 2.7942

7.9720 1 2.9144

7.7991 - 1 2.8927

7.6432 - 1 2.3728

7.5006 - 1 2.8544

7.3690 - 1 2.8371

7.2464 - 1 2.8207

7.1316 — 1 2.8052

7.9720 _ 1 2.9144

7.7991 - 1 2.8927

7.6432 - 1 2.8728

7.5006 - 1 2.8544

7.3690 - 1 2.8371

7.2464 - 1 2.8207

7.1316 — 1 2.8052

7.9671 _ 1 2.9082

7.7902 - 1 2.8855

7.6304 - 1 2.8648

7.4844 - 1 2.8455

7.3496 - 1 2.8275

7.2241 - 1 2.8104

7.1067 — 1 2.7942

7.9721 — 1 2.9144

7.7993 - 1 2.8927

7.6434 - 1 2.8728

7.5009 - 1 2.8544

7.3692 - 1 2.8371

7.2466 - 1 2.8207

7.1318 ~ 1 2.3052

7.9721 1 2.9144

7.7993 - 1 2.8927

7.6434 - 1 2.8728

7.5009 - 1 2.8544

7.3692 - 1 2.8371

7.2466 - 1 2.8207

7.1318 - 1 2.8052

are T

5.0858 - 2 3.7495

5.4791 - 2 3.7186

5.8235 - p 3.6910

6.1297 - 2 3.6657

6.4050 - 2 3.6422

6.6546 - 2 3.6202

6.8824 — 2 3.5993

2.6303 _ 3.7414

2.8300 - 2 3.7106

3.0050 - 2 3.6831

3.1605 - 2 3.6580

3.3004 - 2 3.6346

3.4272 - 2 3.6127

3.5430 " 2 3.5919

2.6303 _ 2 5.9983 - 1 2.8300 - 2 5.6903 - 1 3.0050 - 2 5.4154 - 1 3.1605 - 2 5.1640 - 1 3.3004 - 2 4.9304 - 1 3.4273 - 2 4.7109 - 1 3.5430 ~* 2 4.5028 - 1

5.0358 2 6.0790 - 1 5.4791 - 2 5.7702 - 1 5.8235 - 2 5.4939 - 1 6.1297 - 2 5.2411 - 1 6.4050 - 2 5.0063 - 1 6.6546 - 2 4.7858 - 1 6.8824 ~~ 2 4.5771 - 1

2.3819 _ 2 5.9208 - 1 2.5606 - 2 5.6188 - 1 2.7170 - 2 5.3490 - 1 2.8562 - 2 5.1020 - 1 2.9812 - 2 4.8723 - 1 3.0946 - 2 4.6562 - 1 3.1980 ~~ 2 4.4513 - 1

2.3819 2 3.7337

2.5606 - 2 3.7035

2.7170 - 2 3.6765

2.8562 - 2 3.6518

2.9812 - 2 3.6288

3.0946 - 2 3.6072

3.1980 - 2 3.5867
-118-

Table 55

f,kc

10

1214

16

1820

22

10

1214

16

18

20

22

10

1214

16

1820

22

10

1214

16

1820

22

10

1214

16

18

20

22

IP

1214

16

18

20

22

60^

120

180"

240

300

N = 300

7.9089

7.7269

7.5627

7.4127

7.2742

7.1455

7.0249

7.9172

7.7379

7.5760

7.4278

7.2910

7.1636

7.0443

7.9172

7.7379

7.5760

7.4278

7.2910

7.1636

7.0443

7.9089

7.7269

7.5627

7.4127

7.2742

7.1455

7.0249

7.9049

7.7244

7.5619

7.4135

7.2766

7.1494

7.0303

7.9049

7.7244

7.5619

7.4135

7.2766

7.1494

7.0303

v = 2(10

7

)

cj>. = 82°

arg T

H 0.5 1= 45'

arg T

1 2.9016

1 2.8785

1 2.8573

1 2.8377

1 2.8193

1 2.8020

1 2.7856

1 2.9052

1 2.8825

1 2.8617

1 2.8425

1 2.8244

1 2.8074

1 2.7913

1 2.9052

1 2.8 82 5

1 2.8617

1 2.8425

1 2.8244

1 2.8074

1 2.7913

1 2.9016

1 2.8785

1 2.8573

1 2.8377

1 2.8193

1 2.8020

1 2.7856

1 2.9043

1 2.8818

1 2.8612

1 2.8421

1 2.8242

1 2.8073

1 2.7913

1 2.9043

1 2.8818

1 2.8612

1 2.8421

1 2.8242

1 2.8073

1 2.7913

6.2063 - 2 3.3891

6.4214 - 2 3.3764

6.6068 - 2 3.3641

6.7696 - 2 3.3520

6.9145 - 2 3.3400

7.0446 - 2 3.3282

7.1623 — 2 3.3166

3.9311 _ 2 3.1359

3.9374 - 2 3.1161

3.9372 - 2 3.0984

3.9329 - 2 3.0824

3.9260 - 2 3.0677

3.9173 - 2 3.0539

3.9073 — 2 3.0409

2.2823 _ 2 1.9876

2.3091 - 2 1.8480

2.3517 - 2 1.7258

2.4045 - 2 1.6182

2.4635 - 2 1.5228

2.5261 - 2 1.4377

2.5905 — 2 1.3613

2.5210 _ 2 1.6407

2.6601 - 2 1.5041

2.8032 - 2 1.3917

2.9452 - 2 1.2972

3.0834 - 2 1.2162

3.2165 - 2 1.1457

3.3438 — 2 1.0835

2.5403 _ 2 2.7807

2.4659 - 2 2.7285

2.3969 - 2 2.6803

2.3327 - 2 2.6355

2.2729 - 2 2.5933

2.2169 - 2 2.5532

2.1645 — 2 2.5149

5.2905 _ 2 3.3340

5.4360 - 2 3.3208

5.5597 - 2 3.3082

5.6669 - 2 3.2960

5.7613 - 2 3.2841

5.8454 - 2 3.2725

5.9208 - 2 3.2611
-119-

Table 56

f,kc

10

1214

16

1820

22

10

1214

16

18

20

22

10

1214

16

18

20

22

10

1214

16

18

20

22

10

1214

16

18

20

22

10

12

14

16

18

20

22

60

l

120

180

240

300

N b 300 V

1 = 2(10') 4). = 82" H = ( m

]T mm ^ arg Tmm

7.8548 - 1 2.8952 4.6818

7.6680 - 1 2.8716 4.6450

7.4995 - 1 2.8500 4.6063

7.3455 - 1 2.8300 4.5671

7.2035 - 1 2.8114 4.5283

7.0714 - 1 2.7938 4.4900

6.9479 — 1 2.7772 4.4525

7.8565 _ 1 2.8954 4.3790

7.6699 - 1 2.8718 4.3150

7.5015 - 1 2.8502 4.2522

7.3476 - 1 2.8302 4.1912

7.2056 - 1 2.8115 4.1325

7.0736 - 1 2.7939 4.0760

6.9501 — 1 2.7773 4.0216

7.8565 _ 1 2.8954 4.0309

7.6699 - 1 2.8718 3.9409

7.5015 - 1 2.8502 3.8554

7.3476 - 1 2.8302 3.7745

7.2056 - 1 2.8115 3.6977

7.0736 - 1 2.7939 3.6250

6.9501 — 1 2.7773 3.5557

7.8548 _ 1 2.8952 3.9685

7.6680 - 1 2.8716 3.8765

7.4995 - 1 2.8500 3.7895

7.3455 - 1 2.8300 3.7073

7.2035 - 1 2.8114 3.6296

7.0714 - 1 2.7938 3.5560

6.9479 — 1 2.7772 3.4862

7.8532 _ 1 2.8951 4.2464

7.6662 - 1 2.8716 4.1772

7.4976 - 1 2.8500 4.1100

7.3437 - 1 2.8301 4.0454

7.2017 - 1 2.8114. 3.9834

7.0697 - 1 2.7939 3.9240

6.9462 — 1 2.7773 3.8671

7.8532 1 2.8951 4.6122

7.6662 - 1 2.8716 4.5724

7.4976 - 1 2.8500 4.5311

7.3437 - 1 2.8301 4.4896

7.2017 - 1 2.8114 4.4487

7.0697 - 1 2.7939 4.4086

6.9462 - 1 2.7773 4.3694

0.5 I = 84.27°

argb T

me

2 3.0528

2 3.0292

2 3.0082

2 2.9892

2 2.9716

2 2.9553

2 2.9399

2 2.9891

2 2.9600

2 2.9342

2 2.9108

2 2.8892

2 2.8692

2 2.8504

2 2.9045

2 2.8671

2 2.8335

2 2.8028

2 2.7744

2 2.7478

2 2.7228

2 2.8933

2 2.8549

2 2.8203

2 2.7886

2 2.7593

2 2.7318

2 2.7058

2 2.9704

2 2.9399

2 2.9127

2 2.8879

2 2.8651

2 2.8438

2 2.8238

2 3.0449

2 3.0208

2 2.9993

2 2.9798

2 2.9619

2 2.9452

2 2.9294
-120-

Table 57

N=300 v = 2(10

7

)

<j). = 82° H = 0. 5 1=90 i m

o

f, kc <j> It arg T It are T a

J mm J & mm > me J s me

10 o 7.8538 - 1 2.8951 4.3311 - 2 2.9796

12 7.6668 - 1 2.8714 4.2640 - 2 2.9498

14 7.4982 - 1 2.8499 4.1985 - 2 2.9233

16 7.3441 - 1 2.8299 4.1353 - 2 2.8993

18 7.2020 - 1 2.8112 4.0746 - 2 2.8771

20 7.0700 - 1 2.7936 4.0163 - 2 2.8565

22 6.9464 - 1 2.7770 3.9604 - 2 2.8371

10 240° 7.8538 - 1 2.8951 4.3311 - 2 2.9796
-121-

Table 58

w/w = 0.3002 ' r

degrees

arg T. areb TT

5 15

25

35

45

55

65

75

85

5 15

25

35

45

55

65

75

85

5 15

25

35

45

55

65

75

85

*1 = 10 degrees

4.455 _ 1 5.546 4.484 - 2.409

4.338 - 1 5.525 4.602 - 2.429

4.099 - 1 5.477 4.841 - 2.469

3.739 - 1 5.385 5.209 - 2.528

3.277 - 1 5.212 5.715 - 2.607

2.841 - 1 4.875 6.371 - 2.704

2.900 - 1 4.300 7.187 - 2.816

4.262 - 1 3.708 8.175 - 2.941

7.470 1 3.304

*1 = 20 degr

9.344

2es

3.07^

4.489 — 1 5.537 4.518 _ 2.401

4.373 - 1 5.516 4.634 - 2.421

4.137 - 1 5.467 4.871 - 2.462

3.783 - 1 5.373 5.234 - 2.522

3.334 - 1 5.199 5.734 - 2.603

2.917 - 1 4.867 6.381 - 2.701

2.982 - 1 4.307 7.188 - 2.815

4.315 - 1 3.721 8.168 - 2.940

7.487 - 1 3.309 9.337 - 3.074

+1 = 30 degrees

4.549 _ 1 5.523 4.578 _ 1 2.387

4.435 - 1 5.501 4.692 - 1 2.408

4.205 - 1 5.450 4.924 - 1 2.451

3.863 - 1 5.354 5.279 - 1 2.513

3.435 - 1 5.179 5.767 - 1 2.596

3.047 - 1 4.855 6.399 - 1 2.696

3.120 - 1 4.319 7.188 - 1 2.811

4.406 - 1 3.743 8.155 - 1 2.938

7.517 - 1 3.318 9.325 - 1 3.073
-122-

Table 59

i

degrees

5 15

25

35

45

5565

75

85

5 15

25

3545

55

65

75

85

5 15

25

35

45

55

65

75

85

IT

oo/oo = 0. 3002

ar g ? IT are T

*i

= 40 degrees

4.641 _ L 5.504 4.669 _ L 2.368

4.531 - :L 5.481 4.780 - . L 2.391

4.311 - ; L 5.428 5.004 - : L 2.435

3.987 - ; L 5.329 5.346 - L 2.501

3.588 - : L 5.155 5.816 -

• L 2.586

3.237 - ; L 4.842 6.424 - L 2.688

3.316 - : L 4.338 7.189 - L 2.806

4.535 - : L 3.775 8.136 - L 2.935

7.558 L 3.331

+1

=

9.306

50 degrees

L 3.072

4.774 _ - L 5.482 4.8 00 _ L 2.346

4.670 - : L 5.457 4.905 -

' L 2.370

4.463 - : L 5.401 5.117 - . L 2.416

4.164 - ] L 5.301 5.440 -

' L 2.485

3.804 - : L 5.129 5.883 - ; L 2.573

3.49 5 - : L 4.832 6.460 - : L 2.678

3.575 - ] L 4.365 7.191 - : L 2.798

4.704 - ; L 3.817 8.110 - ; L 2.931

7.610 L 3.349 9.281

60 degrees

L 3.071

4.957 _ L 5.457 4.981 _ L 2.321

4.862 - : L 5.430 5.077 - : L 2.346

4.675 - ] L 5.373 5.271 - ] L 2.395

4.408 - ] 5.273 5.567 - ] L 2.466

4.093 - ] L 5.105 5.975 - ] L 2.556

3.827 - ] L 4.829 6.509 - ] 2.664

3.899 - ] L 4.400 7.195 - ; L 2.788

4.914 - i 3.868 8.078 - ] L 2.924

7.673 - ] L 3.371 9.249 - ] 3.069
-123-

Table 60

u/u = 0.3002

degrees

5 15

25

35

45

55

65

75

85

5 15

25

35

45

55

65

75

85

5 15

25

35

45

55

65

75

85

r are Tem ' me

(>, = 10 degrees

4.187 - 2 3.053

4.205 - 2 3.069

4.231 - 2 3.101

4.241 - 2 3.146

4.197 - 2 3.199

4.038 - 2 3.254

3.660 - 2 3.302

2.877 - 2 3.330

1.309 - 2 3.317

<)>.. = 20 degrees

arg T

4.182 - 2 3.048

4.163 - 2 3.032

4.130 - 2 3.000

4.089 - 2 2.957

4.028 - 2 2.908

3.897 - 2 2.862

3.579 - 2 2.823

2.854 - 2 2.788

1.310 - 2 2.742

8.440 - 2 3.056 8.431 - 2 3.052

8.474 - 2 3.073 8.396 - 2 3.036

8.519 - 2 3.104 8.337 - 2 3.004

8.531 - 2 3.148 8.260 - 2 2.962

8.433 - 2 3.200 8.140 - 2 2.914

8.104 - 2 3.254 7.874 - 2 2.868

7.341 - 2 3.300 7.229 - 2 2.829

5.767 - 2 3.325 5.761 - 2 2.792

2.623 2 3.308 2.643

30 degrees

2 2.743

1.283 - 3.062 1.282 _ 3.058

1.287 - 3.079 1.277 - 3.042

1.292 - 3.110 1.270 - 3.011

1.292 - 3.153 1.260 - 2.970

1.275 - 3.203 1.242 - 2.924

1.223 - 3.254 1.201 - 2.879

1.107 - 3.296 1.102 - 2.839

8.689 - 2 3.317 8.775 - 2 2.800

3.950 - 2 3.294 4.024 - 2 2.746
-124-

Table 61

w/o) = 0. 3002

' r

degrees

5 15

25

35

45

55

65

75

85

.5 15

25

35

45

55

65

75

85

5 15

25

35

45

55

65

75

85

IT arg T

em me

<)>.. = 40 degrees

arg T

1.743 - 1 3.072 1.741 - 1 3.068

1.747 - 1 3.088 1.737 - 1 3.052

1.751 - 1 3.118 1.729 - 1 3.022

1.746 - 1 3.159 1.718 - 1 2.982

1.719 - 1 3.207 1.696 - 1 2.938

1.646 - 1 3.254 1.640 - 1 2.894

1.487 - 1 3.291 1.503 - 1 2.854

1.167 - 1 3.305 1.196 - 1 2.812

5.305 2 3.273

+1 =

5.479

50 degrees

- 2 2.751

2.230 _ 3.085 2.229 _ i 3.081

2.233 - 3.101 2.226 - 1 3.066

2.233 - 3.129 2.220 - 1 3.038

2.222 - 3.168 2.210 - 1 3.000

2.182 - 3.212 2.183 - 1 2.958

2.085 - 3.254 2.111 - 1 2.916

1.881 - 3.284 1.933 - 1 2.874

1.476 - 3.290 1.537 - 1 2.828

6.710 2 3.246 7.040

60 degrees

- 2 2.757

2.753 _ 3.104 2.753 _ i 3.100

2.753 - 3.118 2.753 - 1 3.086

2.747 - 3.144 2.751 - 1 3.059

2.726 - 3.180 2.743 - 1 3.024

2.670 - 3.219 2.712 - 1 2.984

2.546 - 3.254 2.622 - 1 2.944

2.296 - 3.277 2.399 - 1 2.901

1.802 - 3.272 1.907 - 1 2.848

8.205 - 2 3.213 8.744 - 2 2.766
-125-

Table 62

degrees

5 15

25

35

45

5565

75

85

5 15

25

35

45

55

65

75

85

5 15

25

35

45

55

65

75

85

co/co = 0. 467

arg T |T 6 ee ' i

(J). = 10 degrees

ar g T,

3.586 - 1 5.397 3.616 - 1 2.258

3.465 - 1 5.371 3.738 - 1 2.280

3.222 - 1 5.315 3.989 - 1 2.325

2.863 - 1 5.200 4.382 - 1 2.393

2.448 - 1 4.965 4.936 - 1 2.485

2.222 - 1 4.508 5.672 - 1 2.601

2.768 - 1 3.912 6.609 - 1 2.738

4.511 - 1 3.491 7.773 - 1 2.893

7.680 1 3.241

*1 =

9.189

20 degrees

1 3.057

3.606 _ 1 5.379 3.637 1 2.243

3.485 - 1 5.354 3.759 - 1 2.266

3.244 - 1 5.295 4.009 - 1 2.312

2.893 - 1 5.175 4.401 - 1 2.383

2.498 - 1 4.936 4.950 - 1 2.478

2.307 - 1 4.488 5.677 - 1 2.597

2.868 - 1 3.917 6.605 - 1 2.736

4.586 - 1 3.502 7.760 - 1 2.892

7.711 1 3.246 9.179

30 degrees

1 3.057

3.646 _ 5.351 3.676 _ 1 2.216

3.525 - 5.325 3.798 - 1 2.241

3.288 - 5.261 4.047 - 1 2.291

2.951 - 5.135 4.434 - 1 2.366

2.592 - 4.891 4.973 - 1 2.467

2.458 - 4.459 5.685 - 1 2.590

3.038 - 3.926 6.595 - 1 2.733

4.713 - 3.521 7.738 - 1 2.891

7.763 - 3.254 9.162 - 1 3.057
-126-

Table 63

oo/cj = 0.467

degrees

5 15

25

35

45

5565

75

85

5 15

25

35

45

5565

7585

5 15

25

35

45

55

65

75

85

I*

r are T IT

4>, = 40 degrees

arg T

3.714 - 5.313 3.744 - L 2.178

3.595 - 5.283 3.864 - ' L 2.206

3.366 - 5.214 4.109 - ' L 2.261

3.055 - 5.079 4.486 - L 2.343

2.750 - 4.832 5.007 - L 2.450

2.687 - 4.427 5.695 - L 2.580

3.285 - 3.941 6.578 - L 2.727

4.897 - 3.548 7.702 - L 2.888

7.837 3.265

*1-

9.136

50 degrees

L 3.057

3.825 _ 1 5.263 3.854 _ L 2.130

3.712 - 1 5.230 3.970 - L 2.161

3.500 - 1 5.153 4.204 - L 2.223

3.230 - 1 5.011 4.561 - L 2.313

2.996 - 1 4.767 5.054 - L 2.428

3.012 - 1 4.398 5.704 - L 2.565

3.617 - 1 3.964 6.550 - L 2.719

5.142 - 1 3.583 7.651 - L 2.885

7.936 1 3.280

+1 =

9.099

60 degrees

L 3.057

4.004 _ 5.205 4.031 _ L 2.072

3.903 - 5.167 4.136 - : L 2.107

3.722 - 5.084 4.347 - ] L 2.176

3.509 - 4.938 4.669 - ] L 2.275

3.360 - 4.707 5.116 - : L 2.399

3.451 - 4.381 5.713 - i L 2.545

4.046 - 3.997 6.508 - ] L 2.706

5.455 - 3.627 7.577 - ] L 2.879

8.061 - 3.299 9.050 - i L 3.056
5 15

25

35

45

55

65

75

85

-127-

Table 64

w/co = 0. 467

<t>. |T | are T |t T i arg T

l

1 em

6 em 1 me ' 6 me

degrees v 10 degrises

5 4.101 - 2 2.831 4.091 - 2 2.825

15 4.143 - 2 2.854 4.051 - 2 2.801

25 4.211 - 2 2.900 3.989 - 2 2.755

35 4.277 - 2 2.967 3.934 - 2 2.688

45 4.289 - 2 3.049 3.901 - 2 2.613

55 4.171 - 2 3.141 3.845 - 2 2.547

65 3.804 - 2 3.232 3.616 - 2 2.506

75 2.989 - 2 3.309 2.935 - 2 8.774

85 1.350 - 2 3.354 1.353 - 2 8.772

*! = 20 degrees

5 8.293 _ 2 2.831 8.272 _ 2 2.825

15 8.371 - 2 2.855 8.197 - 2 2.802

25 8.499 - 2 2.901 8.082 - 2 2.754

35 8.615 - 2 2.968 7.985 - 2 2.688

45 8.620 - 2 3.050 7.927 - 2 2.615

55 8.362 - 2 3.140 7.811 - 2 2.551

65 7.609 - 2 3.229 7.335 - 2 2.281

75 5*969 - 2 3.302 5.942 - 2 8.778

85 2.692 - 2 3.343 2.733 - 2 8.773

<(>. = 30 degrees

1.267 - 1 2.832

1.278 - 1 2.856

1.294 - 1 2.903

1.308 - 1 2.969

1.303 - 1 3.050

1.259 - 1 3.138

1.142 - 1 3.222

8.933 - 2 3.290

4.018 - 2 3.324

1.264 - 1 2.826

1.254 - 1 2.802

1.240 - 1 2.755

1.228 - 1 2.690

1.221 - 1 2.619

1.203 - 1 2.558

1.127 - 1 2.519

9.097 - 2 8.784

4.170 - 2 8.774
-128-

Table 65

w/w = 0,

' r 467

*l |T |

1 em arg6 T

em

|T |

1 me ' arg& T

me

degrees

*! = 40 de grees

5 1.736 - 1 2.835 1.732 _ 1 2.828

15 1.747 - 1 2.859 1.721 - 1 2.804

25 1.764 - 1 2.906 1.707 - 1 2.757

35 1.774 - 1 2.972 1.697 - 1 2.694

45 1.758 - 1 3.050 1.692 - 1 2.627

55 1.690 - 1 3.134 1.665 - 1 2.570

65 1.525 - 1 3.212 1.553 - 1 2.531

75 1.189 - 1 3.272 1.248 - 1 2.510

85 5.328 2 3.295

+1

= 50 de

5.698

grees

2 8.776

5 2.248 _ 1 2.840 2.245 _ 1 2.833

15 2.258 - 1 2.864 2.236 - 1 2.809

25 2.269 - 1 2.911 2.226 - 1 2.763

35 2.268 - 1 2.975 2.224 - 1 2.703

45 2.233 - 1 3.050 2.221 - 1 2.640

55 2.133 - 1 3.127 2.182 - 1 2.587

65 1.915 - 1 3.196 2.027 - 1 2.550

75 1.486 - 1 3.245 1.621 - 1 2.524

85 6.634 - 2 3.256 7.358 - 2 2.496

|>. - 60 degrees

5 2.822 - 1 2.849

15 2.825 - 1 2.873

25 2.823 - 1 2.918

35 2.802 - 1 2.979

45 2.738 - 1 3.048

55 2.598 - 1 3.116

65 2.320 - 1 3.174

75 1.793 - 1 3.210

85 7.972 - 2 3.203

2.821 - 1 2.843

2.818 - 1 2.819

2.82C - 1 2.775

2.829 - 1 2.719

2.830 - 1 2.663

2.773 - 1 2.614

2.564 - 1 2.575

2.038 - 1 2.543

9.201 - 2 2.502
w/t IT

-129-

Table 66

(j>. = 60 degrees

ar g T arg T

*i

= 5 degrees

0.0100 8.843 - 1 6.155 8.851 - 3.015

0.0200 8.403 - 1 6.099 8.414 - 2.959

0.0500 7.591 - 1 5.983 7.607 - 2.844

0.1000 6.760 - 1 5.844 6.779 - 2.706

0.2000 5.703 - 1 5.632 5.725 - 2.495

0.3002 4.957 - 1 5.457 4.981 - 2.321

0.4670 4.004 - 1 5.205 4.031 - 2.072

1.0000 1.949 - 1 4.662 1.987 - 1.532

2.0000 7.322 - 2 4.531 7.475 - 2 1.389

5.0000 2.554 - 2 4.618 2.596 - 2 1.475

<J>. = 15 degrees

0.0100

0.0200

0.0500

0.1000

0.2000

0.3002

0.4670

1.0000

2.0000

5.0000

8.809

8.358

7.528

6.682

5.613

4.862

3.903

1.800

6.667

2.377

6.151

6.094

5.974

5.831

5.612

5.430

5.167

4.602

4.531

4.624

8.884

8.458

7.669

6.856

5.815

5.077

4.136

2.143

8.131

2.773

1 3.018

1 2.964

1 2.852

1 2.718

1 2.514

1 2.346

1 2.107

1 1.582

2 1.389

2 1.469

4>. = 25 degrees

0.0100

0.0200

0.0500

0.1000

0.2000

0.3002

0.4670

1.0000

2.0000

5.0000

8.736

8.261

7.393

6.518

5.429

4.675

3.722

1.553

5.082

1.968

6.

6.

5.5.

5.5.5.

4.

4.

4.

143

082

955

803

569

373

084

413

519

646

8.949

8.545

7.792

7.010

5.996

5.271

4.347

2.464

9.726

3.184

1 3.026

1 2.975

1 2.869

1 2.743

1 2.551

1 2.395

1 2.176

1 1.690

2 1.396

2 1.458
-130-

Table 67

= 60 degrees

>/« IT I arg T

0.0100

0.0200

0.0500

0.1000

0.2000

0.3002

0.4670

1.0000

2.0000

5.0000

0.0100

0.0200

0.0500

0.1000

0.2000

0.3002

0.4670

1.0000

2.0000

5.0000

0.0100

0.0200

0.0500

0.1000

0.2000

0.3002

0.4670

1.0000

2.0000

5.0000

8.613

8.098

7.169

6.252

5.146

4.408

3.509

1.467

1.852

1.178

8.413

7.837

6.820

5.855

4.762

4.093

3.360

1.950

5.837

5.928

8.086

7.417

6.285

5.289

4.308

3.827

3.451

2.953

1.904

4.582

+i = 35 degr ees 6.128 9.044

6.061 8.674

5.922 7.976

5.754 7.240

5.494 6.270

5.273 5.567

4.938 4.669

3.985 2.943

2 4.241 1.308

2 4.745 3.987

«,.= 45 degrees

1 6.105 9.168

1 6.027 8.842

1 5.866 8.218

1 5.671 7.548

1 5.367 6.643

1 5.105 5.975

1 4.707 5.116

1 3.536 3.559

2 2.012 1.999

3 7.894 - 1 5.633

i" 55 degrees

6.064 9.319

5.968 9.046

5.769 8.517

5.526 7.933

5.146 7.122

4.829 6.509

4.381 5.713

3.323 4.328

2.237 3.133

2 1.299 9.743

- 2

arg T

3.036

2.990

2.894

2.778

2.605

2.466

2.275

1.861

1.433

1.438

1 3.050

1 3.010

1 2.925

1 2.825

1 2.675

1 2.556

1 2.399

1 2.080

1 1.572

2 1.409

- 2

3.067

3.033

2.963

2.880

2.759

2.664

2.545

2.322

1.892

1.396
-131-

Table 68

(J). = 60 degrees

arg T |T 6 ee ' r

4>. = 65 degrees

arg T

0.0100 7.510 - 5.985 9.491 - L 3.085

0.0200 6.706 - 5.854 9.282 - L 3.060

0.0500 5.461 - 5.577 8.867 - L 3.007

0.1000 4.553 - 5.239 8.395 - L 2.945

0.2000 3.971 - 4.748 7.718 - L 2.855

0.3002 3.899 - 4.400 7.195 - L 2.788

0.4670 4.046 - 3.997 6.508 - L 2.706

1.0000 4.310 - 3.243 5.332 - L 2.569

2.0000 3.598 - 2.567 4.474 - L 2.293

5.0000 1.781 1.653

i"

2.310

75 degrees

L 1.622

0.0100 6.342 _ 5.790 9.681 _ L 3.106

0.0200 5.401 - 5.564 9.544 - L 3.090

0.0500 4.346 - 5.090 9.265 - L 3.056

0.1000 4.091 - 4.599 8.937 - L 3.017

0.2000 4.478 - 4.113 8.455 - L 2.96 3 0.3002 4.914 - 3.868 8.078 - L 2.924

0.4670 5.455 - 3.627 7.577 - L 2.879

1.0000 6.062 - 3.205 6.717 - L 2.810

2.0000 5.596 - 2.844 6.111 - L 2.668

5.0000 4.320 2.358 4.718

85 degrees

L 2.291

0.0100 4.138 _ 1 4.719 9.883 _ • L 3.128

0.0200 4.452 - 1 4.252 9.830 - ; L 3.122

0.0500 5.526 - 1 3.807 9.719 - ] L 3.111

0.1000 6.441 - 1 3.592 9.589 - ] 3.098

0.2000 7.260 - 1 3.442 9.398 - ] 3.081

0.3002 7.673 - 1 3.371 9.249 - ] L 3.069

0.4670 8.061 - 1 3.299 9.050 - ] L 3.056

1.0000 8.441 - 1 3.167 8.699 - ] 3.037

2.0000 8.238 - 1 3.057 8.428 - ] 2.997

5.0000 7.642 - 1 2.923 7.800 - ] 2.895
-132-

Table 69

4^= 60 degrees

/",. ' |T | arg T |T | arg 1 r

1 em ° em 1 me ' i

= 5 degrees

0.0100 8.847 _ 2 3.800 8.847 _ 2 3.799

0.0200 1.189 - 1 3.744 1.189 - 1 3.744

0.0500 1.700 - 1 3.628 1.700 - 1 3.628

0.1000 2.143 - 1 3.490 2.143 - 1 3.489

0.2000 2.568 - 1 3.279 2.568 - 1 3.276

0.3002 2.753 - 1 3. 104 2.753 - 1 3.100

0.4670 2.822 - 1 2.849 2.821 - 1 2.843

1.0000 2.188 - 1 2.233 2.168 - 1 2.220

2.0000 1.120 - 1 1.846 1.102 - 1 1.841

5.0000 4.385 2 1.673

= 1 5 de gr

4.318

ees

2 1.671

0.0100 8.847 _ 2 3.800 8.847 _ 2 3.799

0.0200 1.189 - 1 3.745 1.189 - 3.743

0.0500 1.700 - 1 3.631 1.700 - 3.625

0.1000 2.143 - 1 3.494 2.143 - 3.484

0.2000 2.568 - 1 3.288 2.568 - 3.267

0.3002 2.753 - 1 3.118 2.753 - 3.086

0.4670 2.825 - 1 2.873 2.818 - 2.819

1.0000 2.264 - 1 2.286 2.100 - 2.163

2.0000 1.194 - 1 1.869 1.029 - 1.815

5.0000 4.668 2 1.680

= 25 degr

4.035

ees

2 1.663

0.0100 8.842 _ 2 3.800 8.842 _ 2 3.798

0.0200 1.188 - 1 3.746 1.188 - 3.741

0.0500 1.698 - 1 3.634 1.698 - 3.621

0.1000 2.140 - 1 3.502 2.140 - 3.475

0.2000 2.563 - 1 3.305 2.565 - 3.250

0.3002 2.747 - 1 3.144 2.751 - 3.059

0.4670 2.823 - 1 2.918 2.820 - 2.775

1.0000 2.389 - 1 2.396 2.036 - 2.033

2.0000 1.363 - 1 1.922 8.710 - 2 8.005

5.0000 5.312 - 2 1.695 3.395 - 2 1.636
-133-

Table 70

<)>. = 60 degrees

arg T ° em

<|>. = 35 degrees

arg T

0.0100 8.826 - 2 3.800 8.826 - 2 3.795

0.0200 1.185 - 1 3.746 1.185 - 3.737

0.0500 1.691 - 1 3.638 1.691 - 3.613

0.1000 2.128 - 1 3.512 2.130 - 3.462

0.2000 2.545 - 1 3.327 2.552 - 3.226

0.3002 2.726 - 1 3.180 2.743 - 3.024

0.4670 2.802 - 1 2.979 2.829 - 2.719

1.0000 2.502 - 1 2.558 2.114 - 8.138

2.0000 1.671 - 1 2.032 6.617 - 2 7.646

5.0000 6.528 2 1.725

45 deg

2.216

rees

2 7.799

0.0100 8.783 _ 2 3.798 8.783 _ 2 3.790

0.0200 1.177 - 1 3.744 1.177 - 1 3.729

0.0500 1.673 - 1 3.638 1.674 - 1 3.601

0.1000 2.099 - 1 3.519 2.103 - 1 3.444

0.2000 2.499 - 1 3.349 2.517 - 1 3.197

0.3002 2.670 - 1 3.219 2.712 - 1 2.984

0.4670 2.738 - 1 3.048 2.830 - 1 2.663

1.0000 2.532 - 1 2.750 2.370 - 1 8.005

2.0000 2.153 - 1 2.255 8.678 - 2 6.868

5.0000 8.835 2 1.785

l" 55 deg

9.844

rees

3 6.328

0.0100 8.680 - 2 3.790 8.680 _ 2 3.780

0.0200 1.158 - 1 3.736 1.158 - 1 3.716

0.0500 1.632 - 1 3.632 1.634 - 1 3.581

0.1000 2.031 - 1 3.519 2.038 - 1 3.418

0.2000 2.396 - 1 3.366 2.428 - 1 3.162

0.3002 2.546 - 1 3.254 2.622 - 1 2.944

0.4670 2.598 - 1 3.116 2.773 - 1 2.614

1.0000 2.434 - 1 2.947 2.634 - 1 7.964

2.0000 2.581 - 1 2.623 1.734 - 1 6.785

5.0000 1.365 - 1 1.921 5.548 - 2 5.456
-134-

Table 71

4> 1= 60 degi ees

' r |T |

1 em are5 T

em |T | 1 me ' are5 T

me

i

= 65 degrees

0.0100 8.439 - 2 3.770 8.440 _ 2 3.758

0.0200 1.114 - 1 3.712 1.114 - 1 3.688

0.0500 1.541 - 1 3.607 1.543 - 1 3.546

0.1000 1.884 - 1 3.501 1.894 - 1 3.378

0.2000 2.183 - 1 3.368 2.226 - 1 3.120

0.3002 2.296 - 1 3.277 2.399 - 1 2.901

0.4670 2.320 - 1 3.174 2.564 - 1 2.575

1.0000 2.173 - 1 3.129 2.671 - 1 7.990

2.0000 2.591 - 1 3.020 2.374 - 1 7.036

5.0000 2.354 1 2.338

= 75 degn

1.706

see

1 5.792

0.0100 7.812 _ 2 3.718 7.812 - 2 3.704

0.0200 1.003 - 1 3.651 1.003 - 1 3.623

0.0500 1.326 - 1 3.542 1.329 - 1 3.472

0.1000 1.561 - 1 3.445 1.571 - 1 3.305

0.2000 1.744 - 1 3.337 1.790 - 1 3.056

0.3002 1.802 - 1 3.272 1.907 - 1 2.848

0.4670 1.793 - 1 3.210 2.038 - 1 2.543

1.0000 1.667 - 1 3.286 2.240 - 1 8.050

2.0000 2.121 - 1 3.367 2.295 - 1 7.307

5.0000 2.725 - 1 3.055 2.527 - 1 6.509

|>. = 85 degrees

0.0100 5.395 - 2 3.528

0.0200 6.288 - 2 3.453

0.0500 7.296 - 2 3.359

0.1000 7.861 - 2 3.296

0.2000 8.188 - 2 3.240

0.3002 8.205 - 2 3.213

0.4670 7.972 - 2 3.203

1.0000 7.329 - 2 3.407

2.0000 9.839 - 2 3.651

5.0000 1.498 - 1 3.642

5.395 - 2 3.513

6.290 - 2 3.423

7.309 - 2 3.285

7.919 - 2 3.147

8.429 - 2 2.942

8.744 - 2 2.766

9.201 - 2 2.502

1.031 - 1 8.125

1.148 - 1 7.555

1.525 - 1 7.085
-135-

Table 72

i

degrees

5 1525

35

45

5565

75

85

IT

(J). = 60 degrees

arg T

co/w

' r

0. 1501

6.171 - ]l 5.731

6.085 - ]L 5.715

5.908 - ]L 5.679

5.627 - ]I 5.616

5.226 - ]L 5.511

4.700 - :L 5.325

4.151 - ]L 4.970

4.249 - ;L 4.305

6.937 - iL 3.498

arg T

6.192 - 1 2.593

6.277 - 1 2.609

6.447 - 1 2.640

6.704 - 1 2.685

7.051 - 1 2.744

7.490 - 1 2.815

8.028 - 1 2.896

8.677 - 1 2.987

9.486 - 1 3.088

o/w '= 0.233 5

5 15

25

35

45

55

65

75

85

*idegrees

5 15

25

35

45

55

65

75

85

5.431 - :L 5.570 5.454 - 1 2.434

5.339 - :L 5.549 5.546 - 1 2.455

5.153 - :L 5.501 5.732 - 1 2.496

4.873 - L 5.417 6.015 - 1 2.556

4.508 - ;L 5.277 6.402 - 1 2.632

4.112 - :L 5.035 6.902 - 1 2.725

3.918 - ;L 4.619 7.531 - 1 2.831

4.632 - : L 4.016 8.321 - 1 2.949

7.423 - :L 3.414 9.345 - 1 3.076

l T„J arg T |T | arg6 T

me 1 em

° em 1 me ' w/cor

= 0. 1501

2.402 - ;L 2.359 - 1 2.402 - 1 2.342 - 1 2.401 - : L 2.427 - 1 2.401 - 1 2.273 - 1 2.397 - ] 2.550 - 1 2.398 - 1 2.142 - 1 2.382 - ] 2.704 - 1 2.386 - 1 1.954 - 1 2.343 - ] 2.853 - 1 2.353 - 1 1.716 - 1 2.255 - : I 2.934 - 1 2.272 - 1 1.413 - 1 2.070 - ] 2.850 - 1 2.093 - 1 9.933 - 2 1.678 - ]L 2.413 - 1 1.703 - 1 3.091 - 2 8.088 ! 1.201 - 1 8.223 - 2 6.180

w/u = 0.2335

5 15

25

35

45

55

65

75

85

2.648 - 1 7.590 - 2 2.648 - 1 7.313 - 2 2.647 - 1 8.668 - 2 2.647 - 1 6.230 - 2 2.642 - 1 1.067 - 1 2.644 - 1 4.191 - 2 2.623 - 1 1.330 - l 2.633 - 1 1.420 - 2 2.573 - 1 1.609 - l 2.598 - 1 6.265

2.462 - 1 1.839 - 1 2.506 - 1 6.228

2.234 - 1 1.925 - 1 2.295 - 1 6.185

1.772 - 1 1.705 - 1 1.835 - 1 6.126

8.214 - 2 8.717 - 2 8.543 - 2 6.022

I 3 DEPARTMENT OF COMMERCE

Frederick H. Mueller, Secretary NATIONAL BUREAU OF STANDARDS

A. V. Amin, Director THE NATIONAL BUREAU OF STANDARDS

The scope of activities of the National Bureau of Standards at its major laboratories in Washington. D.C., and

Boulder, Colorado, is suggested in the following listing of the divisions and sections engaged in technical work.

In general, each section carries out specialized research, development, and engineering in the field indicated l>\ its title. A brief description of the activities, and of the resultant publications, appears on the inside of the front cover. WASHINGTON, D.C.

Electricity and Electronics. Resistance and Reactance. Electron Devices. Electrical Instruments. Magnetic Measurements. Dielectrics. Engineering Electronics. Electronic Instrumentation. Electrochemistry.

Optics and Metrology. Photometrv and Colorimetry. Photographic Technology. Length. Engineering

Metrology.

Heat. Temperature Physics. Thermodynamics. Cryogenic Physics. Rheology. Molecular Kinetics. Free

Radicals Research. Atomic and Radiation Physics. Spectroscopy. Radiometry. Mass Spectrometry. Solid State Physics. Electron Physics. Atomic Physics. Neutron Physics. Radiation Theory. Radioactivity. X-rays. High

Energy Radiation. Nucleonic Instrumentation. Radiological Equipment.

Chemistry. Organic Coatings. Surface Chemistry. Organic Chemistry. Analytical Chemistry. Inorganic

Chemistry. Electrodeposition. Molecular Structure and Properties of Gases. Physical Chemistry. Thermochemistry. Spectrochemistry. Pure Substances.

Mechanics. Sound. Mechanical Instruments. Fluid Mechanics. Engineering Mechanics. Mass and Scale. Capacity, Density, and Fluid Meters. Combustion Controls.

Organic and Fibrous Materials. Rubber. Textiles. Paper. Leather. Testing and Specifications. Poly- mer Structure. Plastics. Dental Research.

Metallurgy. Thermal Metallurgy. Chemical Metallurgy. Mechanical Metallurgy. Corrosion. Metal

Physics.

Mineral Products. Engineering Ceramics. Glass. Refractories. Enameled Metals. Constitution and Microstructure.

Building Technology. Structural Engineering. Fire Protection. Air Conditioning, Heating, and Refrigeration. Floor, Roof, and Yi all Co\ erings. Codes and Safety Standards. Heat Transfer. Concreting Materials.

Applied Mathematics. Numerical Analysis. Computation. Statistical Engineering. Mathematical Physics.

Data Processing Systems. SEAC Engineering Group. Components and Techniques. Digital Circuitr)

.

Digital Systems. Analog Systems. Appbcation Engineering.

• Office of Basic Instrumentation. • Office of Weights and Measures. BOULDER, COLORADO

Cryogenic Engineering. Cryogenic Equipment. Cryogenic Processes. Properties of Materials. Gas Liquefaction. Radio Propagation Physics. Upper Atmosphere Research. Ionospheric Research. Regular Propagation

Services. Sun-Earth Relationships. VHF Research. Radio Warning Services. Airglow ami Vurora. Radio

Astronomy and Arctic Propagation.

Radio Propagation Engineering. Data Reduction Instrumentation. Modulation Research. Radio Noise. Tropospheric Measurements. Tropospheric Analysis. Propagation Obstacles Engineering. Radio-Meteorology. Lower Atmosphere Physics.

Radio Standards. High Frequency Electrical Standards. Radio Broadcast Service. High Frequenc) Impedance Standards. Electronic Calibration Center. Microwave Physics. Microwave Circuit Standards.

Radio Communication and Systems. Low Frequency and Very Low Frequenc) Research. High Fre- quency and Very High Frequency Research. Ultra High Frequency and Super High Frequency Research. Modulation Research. Antenna Research. Navigation Systems. Systems Analysis. Field Operatic