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Project

Spreadsheets to EC2

Client

Advisory Group

Made by

Date

Page

Location

Column D2

RMW

30-Nov-14

279

Checked

Revision

Job No

Originated from

TCC53.xls

v 3.4 on CD © 2002-2008 TCC

-

FB625

MATERIALS

fck

32

N/mm²

γ

s

1.15

Cover to link,

C

nom

70

mm

fyk

500

N/mm²

γ

c

1.5

dg

20

mm

φ

2.2

φef

1.21

Δ

c,dev

10

mm

SECTION

Steel class

B

h

550

mm

.

b

550

mm

.

with

3

bars per 550 face

Y

Y

and

3

bars per 550 face

ie. 550 x 550 columns with 8 bars

Remote

RESTRAINTS

Storey

Top

Btm

CONNECTING BEAMS/SLABS

end

height

(mm)

Condition

Condition

Braced ?

b (mm)

h (mm)

L (m)

(F) or (P)

Y-AXIS

7500

F

F

Y

Top West

300

500

8

F

Z-AXIS

7500

F

F

Y

Top East

300

500

6

F

Top North

3500

175

5

F

Top South

3500

175

5

F

L

(mm)

L

0

(mm)

h

0

(mm)

Bottom West

300

500

8

F

Y-AXIS

7000

5792

275

Bottom East

300

500

6

F

Z-AXIS

7325

6027

Bottom North

300

500

5

F

Bottom South

300

500

5

F

Beam stiffnesses are

70%

of uncracked stiffness

Column above?

Y

Col below?

Y

BAR ARRANGEMENTS

BAR CENTRES

(mm)

Bar Ø

Asc

%

Link Ø

550 Face

550 Face

Nuz

(kN)

Checks

B 40

3.32

10

175

175

8822

ok

B 32

2.13

8

181

181

7621

ok

B 25

1.30

8

185

185

6789

ok

B 20

0.83

8

187

187

6319

ok

B 16

0.53

8

189

189

6019

ok

B 12

0.30

8

191

191

5786

ok

LOADCASES

AXIAL

TOP MOMENTS (kNm)

BTM MOMENTS (kNm)

N (kN)

m

0y

m

0z

m

0y

m

0z

1

1800

19.5

2.5

14.0

2.3

2

1700

29.9

2.5

3

1500

50.0

2.5

8.0

4

1000

80.0

2.5

5

600

120.0

2.5

6

900

130.0

2.5

DESIGN

Y AXIS

Z AXIS

Critical

Biaxial Check

MOMENTS

M

Ed

y

M

Rd

y

M

Ed

z

M

Rd

z

axis

REBAR

1

40.0

391.2

21.8

391.2

Z

8 B12

2

49.3

382.4

20.7

382.4

Z

8 B12

3

66.4

362.3

24.1

362.3

Z

8 B12

4

90.9

296.3

13.2

296.3

Z

8 B12

5

126.6

224.8

8.9

224.8

Z

8 B12

6

139.9

279.6

12.1

279.6

Z

8 B12

SEE CHARTS ON NEXT SHEET

SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES

TO

EN 1992-1 : 2004

0.104

Moments m

0

at top and bottom of column

(from analysis) are combined to find m

0e

. The

moment due to imperfections (e

1

N) and the

second order moment (M

2

) are then added to

obtain M

Ed

In the table below.

0.523

0.602

Equation (5.39)

0.324

The Concrete Centre

0.128

0.195

(2)

Project

Spreadsheets to EC2

Client

Advisory Group

Made by

Date

Page

Location

Column D2

RMW

30-Nov-14

280

Checked

Revision

Job No

Originated from TCC53.xls v 3.4 on CD © 2002-2008 TCC

-

FB625

N:M interaction chart for M

Ed

Y

550 x 550 column (h x b), fck = 32, 70 mm cover

MOMENT M

Ed

Y

(kNm)

N:M interaction chart for M

Ed

Z

550 x 550 column (h x b), fck = 32, 70 mm cover

MOMENT M

Ed

Z

(kNm)

SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO EN

1992-1 : 2004

The Concrete Centre

AXIAL

LOAD

N

Ed

(kN)

AXIAL

LOAD

N

Ed

(kN)

1800

1700

1500

1000

600

900

8B40

N bal

8B32

8B25

8B20

8B12

8B16

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

0

100

200

300

400

500

600

700

800

900

1000

1800

1700

1500

1000

600

900

8B40

8B32

8B25

8B20

8B12

8B16

N bal

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

0

100

200

300

400

500

600

700

800

900

1000

(3)

Project

Spreadsheets to EC2

Client

Advisory Group

Made by

Date

Page

Location

Column D2

RMW

30-Nov-14

281

Checked

Revision

Job No

Originated from TCC53.xls v 3.4 on CD © 2002-2008 TCC

-

FB625

TYPICAL CALCULATION

for loadcase 1

550 x 550 column with 8 B12 bars

About Y axis

About Z axis

SLENDERNESS

Column is braced

Column is braced

Clear height,

L

7325

mm

7000

Rotational stiffness,

k

1

Max[0.1, EI/l

cols

/∑(κEI/l

beams

)]

1.189

0.854

5.8.3.2(3)

Rotational stiffness,

k

2

(κ=2 braced, or 4 unbraced)

0.595

0.854

Effective length,

l

0

Exp (5.15) braced or (5.16) unbraced

6027

mm

5792

5.8.3.2(3)

Radius of gyration,

i

including reinforcement

159.0

mm

159.0

5.8.3.2(1)

Slenderness ratio,

λ

l

0

/i

37.9

36.4

Reinforcement ratio,

ω

A

s

∙f

yd

/(A

c

∙f

cd

)

0.072

0.072

5.8.3.1

Relative normal force,

n

N

Ed

/(A

c

∙f

cd

)

0.328

0.328

5.8.3.1

Limiting slenderness,

λ

lim

Exp (5.13N)

72.7

78.8

Slenderness condition

λ > λ

lim

?

Short

Short

BUCKLING

N

Ed

=

1800

kN

At maximum MOR,

n

bal

from charts

0.418

0.418

5.8.8.3(3)

Axial correction factor,

K

r

(n

u

- n)/(n

u

- n

bal

)

1.138

1.138

Eqn (5.36)

Creep adjust factor,

β

0.35 + f

ck

/200 - λ / 150

0.257

0.267

5.8.8.3(4)

Creep effect factor,

K

φ

1 + β∙φ

ef

≤ 1

1.311

1.323

Eqn (5.37)

Basic curvature,

1/r

0

f

yd

/(0.45d.E

s

)

0.0104

/mm

0.0104

5.8.8.3(1)

Curvature,

1/r

K

r

∙K

φ

∙1/r

0

0.01547

/mm

0.01561

Eqn (5.34)

Curvature distribution,

c

8 if M

0

costant, otherwise π²

9.870

9.870

5.8.8.2(4)

Deflection,

e

2

(1/r)∙l

0

² /c

0.0569

mm

0.0531

5.8.8.2(3)

Second order moment,

M

2

N

Ed

∙e

2

if short, otherwise 0

0.00

kNm

0.00

Eqn (5.33)

IMPERFECTIONS

Inclination,

θ

i

Min[1,Max(⅔, 2/√l)]∙θ

0

0.0038

0.0037

Eqn (5.1)

Imperfection M,

M

imp

θ

i

∙N

Ed

∙l

0

/2

20.50

kNm

19.26

Eqn (5.2)

MOMENTS

First order end M,

M

01

lesser of end moments

14.00

kNm

2.30

First order end M,

M

02

greater of end moments

19.50

kNm

2.50

Equivalent end M,

M

0e

0.6M

02

+ 0.4M

01

7.80

kNm

1.00

Eqn (5.32)

Minimum moment,

M

min

Max(20, h/30)∙N

Ed

36.00

kNm

0.00

6.1(4)

Final design M,

M

Ed

40.00

kNm

21.76

Eqn (5.33)

BIAXIAL CHECK

Section MOR,

M

Rd

from charts, with NEd = 1800

391.16

kNm

391.16

Relative force,

n

N

Ed

/(A

c

∙f

cd

+ A

s

∙f

yd

) =

0.303

Exponent,

a

1.169

5.8.9(4)

Check condition

(M

Edy

/M

Rdy

)

a

+ (M

Edz

/M

Rdz

)

a

=

0.104

≤ 1 - section ok

Eqn (5.39)

The Concrete Centre

SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO EN 1992-1

: 2004

Max[M

min

,max(M

02

+M

2

/2,M

0e

+M

2

)+

M

imp

]

If{n<0.7, max[1, (10n + 11)/12],

min[2, (5n + 1)/3]} =

(4)

Project Spreadsheets to EC2 Location Column D2

SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO EN 1992-1 : 2004 Originated from TCC53.xls v 3.4 on CD © 2002-2008 TCC

CALCULATIONS - Y axis acc =0.85 2294.222283.772272.15 2255.3 2225.71 2162.8 2294.22 422.18

l = 0.80 ecu3 =0.00350 422.18 463.62 516.156596.844 736.491924.865 2162.8 924.865

h.fcd = 18.13 N/mm² ec3 =0.00175 ALL CALCULATIONS DERIVED FROM

fyd = 434.78 N/mm² (1-ec3/ec3u)h 275 FIGURE 3.5 AND 6.1

net fyd = 416.65 N/mm²

40 Bar diameter a7978.67

d' = 100 mm d = 450 mm Asc = 10053mm² spacing = 175 mm b931485

Interval = 4.287 40 intervals c -3E+08

x Neutral axis 106.10 110.39 114.68 118.97 123.25 127.54 131.83 136.11 140.40 144.69 148.97 153.26 157.55 161.84 166.12 170.41 174.70 178.98 183.27 187.56 191.85 196.13 200.42 204.71 208.99 213.28 217.57 221.85 226.14 230.43 Fc Conc comp force846569880774.39914979.3949184.31 983389.261017594 1051799 1086004 1120209 1154414 1188619 1222824 1257029 1291234 1325439 1359644 1393849 1428054 1462259 1496464 1530669 1564874 1599079 1633284 1667488 1701693 1735898 1770103 1804308 1838513

2 inter d' 275.00 3 inter d' 0.00 4 inter d' 0.00 5 inter d' 0.00 6 inter d' 0.00 7 inter d' 0.00 8 inter d' 0.00 9 inter d' 0.00

ec max Limiting strain 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035

esc Steel comp strain0.00020.00032950.000448 0.000558 0.0006603 0.000760.000840.000930.001010.001080.00115 0.001220.001280.001340.00139 0.00145 0.0015 0.001540.00159 0.001630.001680.001720.00175 0.001790.001830.001860.00189 0.001920.001950.00198 2 inter strain -0.0056 -0.005219 -0.00489-0.0045906-0.0043092 -0.004 -0.0038 -0.0036 -0.0034 -0.0032 -0.003 -0.0028 -0.0026 -0.0024 -0.0023 -0.0021 -0.002 -0.0019 -0.0018 -0.0016 -0.0015 -0.0014 -0.0013 -0.0012 -0.0011 -0.001 -0.0009 -0.0008 -0.0008 -0.0007 3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 est Steel tens strain-0.0113 -0.010767 -0.01023-0.0097392-0.0092787-0.0088 -0.0084 -0.0081 -0.0077 -0.0074 -0.0071 -0.0068 -0.0065 -0.0062 -0.006 -0.0057 -0.0055 -0.0053 -0.0051 -0.0049 -0.0047 -0.0045 -0.0044 -0.0042 -0.004 -0.0039 -0.0037 -0.0036 -0.0035 -0.0033

fsc Steel comp stress 40.3 65.9 89.6 111.6 132.1 133.0 150.9 167.6 183.3 198.1 212.0 225.1 237.6 249.3 260.5 271.1 281.2 290.8 299.9 308.6 317.0 325.0 332.6 339.9 346.9 353.7 360.1 366.3 372.3 378.1 2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -429.6 -401.9 -375.5 -350.4 -326.3 -303.4 -281.5 -260.5 -240.4 -221.1 -202.6 -184.8 -167.7 -151.2 -135.4 3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 fst Steel tens stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8

Fsc Steel comp force151817248404.49337770.6420695.79 497852.3 501461 568749 631799 690999 746690 799176 848726 895579 939950 9820311021994 1059996 1096178 1130667 1163579 1195021 1225088 1253868 1281443 1307887 1333268 1357648 1381087 1403636 1425347 2 inter Fs -1E+06-1092728 -1092728-1092727.9-1092727.9-1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06-943772-880543-820203-762561-707438-654674-604120-555639-509108-464410-421440-380099-340296 3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Fst Steel tens force -2E+06-1639092 -1639092-1639091.8-1639091.8-2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06

z Conc lever arm 407.56405.84353404.1287402.41389 400.69907 398.984397.269395.555 393.84 392.125 390.41 388.695386.981385.266383.551 381.836380.121378.406376.692 374.977373.262371.547369.832 368.117366.403364.688362.973 361.258359.543357.829

N Fc + Fsc - Fst -1733.4 -1602.641 -1479.07-1361.9396-1250.5781-1212.8 -1111.3 -1014 -920.61 -830.72 -744.02 -660.27 -579.21 -500.64 -424.35 -337.23 -195.35 -58.63273.2913 200.748324.037443.431559.181 671.515780.644886.762990.045 1090.661188.751284.47

M M O R 510.29533.63292 555.599 576.32053 595.91526 602.522620.155636.929652.912668.164682.737 696.68 710.033722.834735.118 746.913758.248769.148779.633 789.725799.443808.803 817.82 826.509834.883842.953850.732 858.227865.451872.409

Labels for chart 8B40

N diff 130.79 123.57 117.13 111.36 37.81 101.49 97.25 93.40 89.90 86.69 83.75 81.06 78.58 76.29 87.12 141.88 136.72 131.92 127.46 123.29 119.39 115.75 112.33 109.13 106.12 103.28 100.61 98.10 95.72 93.47 M diff 23.35 21.97 20.72 19.59 6.61 17.63 16.77 15.98 15.25 14.57 13.94 13.35 12.80 12.28 11.80 11.33 10.90 10.49 10.09 9.72 9.36 9.02 8.69 8.37 8.07 7.78 7.50 7.22 6.96 6.70

32 Bar diameter a7978.67

d' = 94 mm d = 456 mm Asc = 6434 mm² spacing = 181 mm b596150

Interval = 4.861 40 intervals c -2E+08 32 Bar diameter continued

x Neutral axis 86.85 91.71 96.57 101.43 106.29 111.16 116.02 120.88 125.74 130.60 135.46 140.32 145.18 150.04 154.90 159.76 164.63 169.49 174.35 179.21 184.07 188.93 193.79 198.65 203.51 208.37 213.23 218.10 222.96 227.82 Fc Conc comp force692958731741.19770524.7809308.21 848091.72 886875 925659 9644421003226 1042009 1080793 1119576 1158360 1197143 1235927 1274710 1313494 1352277 1391061 1429844 1468628 1507411 1546195 1584978 1623762 1662545 1701329 1740112 1778896 1817679

2 inter d' 275.00 3 inter d' 0.00 4 inter d' 0.00 5 inter d' 0.00 6 inter d' 0.00 7 inter d' 0.00 8 inter d' 0.00 9 inter d' 0.00

ec max Limiting strain 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035

esc Steel comp strain-0.0003 -8.73E-059.33E-05 0.0002565 0.0004048 0.000540.000660.000780.000880.000980.00107 0.001160.001230.001310.00138 0.00144 0.0015 0.001560.00161 0.001660.001710.00176 0.0018 0.001840.001880.001920.00196 0.001990.002020.00206 2 inter strain -0.0076 -0.006995 -0.00647-0.0059889 -0.005555 -0.0052 -0.0048 -0.0045 -0.0042 -0.0039 -0.0036 -0.0034 -0.0031 -0.0029 -0.0027 -0.0025 -0.0023 -0.0022 -0.002 -0.0019 -0.0017 -0.0016 -0.0015 -0.0013 -0.0012 -0.0011 -0.001 -0.0009 -0.0008 -0.0007 3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 est Steel tens strain-0.0149 -0.013902 -0.01303-0.0122344-0.0115148-0.0109 -0.0103 -0.0097 -0.0092 -0.0087 -0.0083 -0.0079 -0.0075 -0.0071 -0.0068 -0.0065 -0.0062 -0.0059 -0.0057 -0.0054 -0.0052 -0.0049 -0.0047 -0.0045 -0.0043 -0.0042 -0.004 -0.0038 -0.0037 -0.0035

fsc Steel comp stress -57.6 -17.5 18.7 51.3 81.0 108.0 132.8 137.5 158.6 178.0 196.1 212.9 228.6 243.3 257.1 270.0 282.2 293.6 304.5 314.7 324.4 333.6 342.3 350.6 358.5 366.1 373.3 380.2 386.7 393.0 2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -404.1 -374.2 -345.8 -318.9 -293.3 -269.0 -245.9 -223.8 -202.8 -182.6 -163.4 -145.0 3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 fst Steel tens stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8

Fsc Steel comp force-139014-42130.5544999.98 123779.6 195353.99 260668 320510 331787 382561 429555 473177 513776 551656 587083 620286 651468 680809 708467 734583 759282 782676 804867 825944 845990 865079 883276 900645 917238 933109 948302 2 inter Fs -699346-699345.8 -699346-699345.84-699345.84-699346-699346-699346-699346-699346-699346-699346-699346-699346-699346-699346-699346-699346-650020-601848-556220-512941-471832-432735-395506-360014-326140-293776-262823-233191 3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Fst Steel tens force -1E+06-1049019 -1049019-1049018.8-1049018.8-1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06

z Conc lever arm 421.26419.31511417.3708415.42639 413.48203 411.538409.593407.649405.705 403.76401.816 399.872397.927395.983394.038 392.094 390.15 388.205386.261 384.317382.372380.428378.484 376.539374.595 372.65 370.706 368.762366.817364.873

N Fc + Fsc - Fst -1194.4 -1058.754 -932.84 -815.2768 -704.9189 -600.82 -502.2 -452.14 -362.58 -276.8 -194.4 -115.01 -38.34835.8613107.848 177.814245.938 312.38 426.605 538.259646.065750.319851.288 949.2151044.321136.791226.81 1314.561400.161483.77

M M O R 331.2 356.63175380.1469401.99971 422.39756 441.512459.484468.516484.545 499.74514.174 527.909541.002 553.5 565.444 576.872587.816598.304608.362 618.014627.278636.173644.716 652.922660.804668.373675.642 682.619689.315695.737 Labels for chart

N diff 135.67 125.91 117.56 110.36 104.10 98.62 50.06 89.56 85.78 82.40 79.38 76.66 74.21 71.99 69.97 68.12 66.44 114.23 111.65 107.81 104.25 100.97 97.93 95.10 92.47 90.03 87.74 85.61 83.61 81.74 M diff 25.43 23.52 21.85 20.40 19.11 17.97 9.03 16.03 15.19 14.43 13.74 13.09 12.50 11.94 11.43 10.94 10.49 10.06 9.65 9.26 8.90 8.54 8.21 7.88 7.57 7.27 6.98 6.70 6.42 6.16

25 Bar diameter a7978.67

d' = 90.5 mm d = 459.5 mm Asc = 3927 mm² spacing = 184.5mm b363861

Interval = 5.332 40 intervals c -9E+07 25 Bar diameter continued

x Neutral axis 70.17 75.50 80.83 86.16 91.49 96.83 102.16 107.49 112.82 118.15 123.49 128.82 134.15 139.48 144.81 150.15 155.48 160.81 166.14 171.47 176.81 182.14 187.47 192.80 198.13 203.47 208.80 214.13 219.46 224.79 Fc Conc comp force559833602375.12644917.4687459.68 730001.96 772544 815087 857629 900171 942713 9852561027798 1070340 1112882 1155425 1197967 1240509 1283052 1325594 1368136 1410678 1453221 1495763 1538305 1580848 1623390 1665932 1708474 1751017 1793559

2 inter d' 275.00 3 inter d' 0.00 4 inter d' 0.00 5 inter d' 0.00 6 inter d' 0.00 7 inter d' 0.00 8 inter d' 0.00 9 inter d' 0.00

ec max Limiting strain 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035

esc Steel comp strain -0.001 -0.000695 -0.00042-0.00017623.803E-05 0.00023 0.0004 0.000550.000690.000820.00093 0.001040.001140.001230.00131 0.001390.001460.001530.00159 0.001650.001710.001760.00181 0.00186 0.0019 0.001940.00198 0.002020.002060.00209 2 inter strain -0.0102 -0.009249 -0.00841-0.0076708-0.0070198-0.0064 -0.0059 -0.0055 -0.005 -0.0046 -0.0043 -0.004 -0.0037 -0.0034 -0.0031 -0.0029 -0.0027 -0.0025 -0.0023 -0.0021 -0.0019 -0.0018 -0.0016 -0.0015 -0.0014 -0.0012 -0.0011 -0.001 -0.0009 -0.0008 3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 est Steel tens strain-0.0194 -0.017802 -0.0164 -0.0151654-0.0140776-0.0131 -0.0122 -0.0115 -0.0108 -0.0101 -0.0095 -0.009 -0.0085 -0.008 -0.0076 -0.0072 -0.0068 -0.0065 -0.0062 -0.0059 -0.0056 -0.0053 -0.0051 -0.0048 -0.0046 -0.0044 -0.0042 -0.004 -0.0038 -0.0037

fsc Steel comp stress -202.9 -139.1 -83.7 -35.2 7.6 45.7 79.9 110.6 138.5 145.7 168.9 190.1 209.6 227.7 244.4 259.9 274.4 287.9 300.6 312.4 323.6 334.1 343.9 353.3 362.1 370.5 378.5 386.0 393.2 400.1 2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -422.6 -388.8 -356.9 -326.8 -298.4 -271.6 -246.1 -221.9 -199.0 -177.1 -156.3 3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 fst Steel tens stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8

Fsc Steel comp force-298730-204830.8 -123320-51896.63611201.655 67350.6117638 162937 203954 214566 248658 279928 308713 335297 359923 382800 404108 424003 442621 460082 476489 491935 506503 520265 533286 545625 557334 568460 579045 589127 2 inter Fs -426847-426846.8 -426847-426846.83-426846.83-426847-426847-426847-426847-426847-426847-426847-426847-426847-426847-426847-426847-426847-426847-414904-381666-350375-320864-292985-266607-241611-217891-195353-173910-153485 3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Fst Steel tens force -640270-640270.2 -640270-640270.24-640270.24-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270

z Conc lever arm 431.43429.30071427.1679425.03511 422.90231 420.77 418.637416.504414.371412.238410.105 407.973 405.84 403.707401.574 399.441397.309395.176393.043 390.91 388.777386.645384.512 382.379380.246378.113375.981 373.848371.715369.582

N Fc + Fsc - Fst -806.01 -669.5728 -545.519-431.55402-325.91345-227.22 -134.39 -46.551 37.008 90.1619166.797 240.609311.936381.062448.231 513.65 577.501639.938701.098 773.044 865.23 954.51 1041.13 1125.321207.261287.13 1365.1 1441.311515.881588.93

M M O R 201.26227.80043251.8782273.91312 294.23072 313.085330.676347.165362.683372.409386.286 399.461411.996423.944435.349 446.249456.679466.667476.237 485.412494.212502.653 510.75 518.517525.966533.108539.952 546.507 552.78 558.78

(5)

N diff 136.44 124.05 113.97 105.64 98.69 92.83 87.84 83.56 53.15 76.63 73.81 71.33 69.13 67.17 65.42 63.85 62.44 61.16 71.95 92.19 89.28 86.62 84.18 81.94 79.88 77.97 76.21 74.57 73.05 71.64 M diff 26.54 24.08 22.03 20.32 18.85 17.59 16.49 15.52 9.73 13.88 13.18 12.53 11.95 11.40 10.90 10.43 9.99 9.57 9.18 8.80 8.44 8.10 7.77 7.45 7.14 6.84 6.55 6.27 6.00 5.73

20 Bar diameter a7978.67

d' = 88 d = 462 mm Asc 2513 mm² spacing = 187 mm b232871

Interval = 5.686 40 intervals c -6E+07 20 Bar diameter continued

x Neutral axis 57.56 63.24 68.93 74.62 80.30 85.99 91.67 97.36 103.04 108.73 114.42 120.10 125.79 131.47 137.16 142.84 148.53 154.22 159.90 165.59 171.27 176.96 182.65 188.33 194.02 199.70 205.39 211.07 216.76 222.45 Fc Conc comp force459241504605.49549970.2595334.86 640699.55 686064 731429 776794 822158 867523 912888 9582521003617 1048982 1094346 1139711 1185076 1230440 1275805 1321170 1366535 1411899 1457264 1502629 1547993 1593358 1638723 1684087 1729452 1774817

2 inter d' 275.00 3 inter d' 0.00 4 inter d' 0.00 5 inter d' 0.00 6 inter d' 0.00 7 inter d' 0.00 8 inter d' 0.00 9 inter d' 0.00

ec max Limiting strain 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035

esc Steel comp strain-0.0019 -0.00137 -0.00097-0.0006278-0.0003355 -8E-05 0.000140.000340.000510.000670.00081 0.000940.001050.001160.00125 0.001340.00143 0.0015 0.00157 0.00164 0.0017 0.001760.00181 0.001860.001910.00196 0.002 0.002040.002080.00212 2 inter strain -0.0132 -0.011719 -0.01046-0.0093994-0.0084861-0.0077 -0.007 -0.0064 -0.0058 -0.0054 -0.0049 -0.0045 -0.0042 -0.0038 -0.0035 -0.0032 -0.003 -0.0027 -0.0025 -0.0023 -0.0021 -0.0019 -0.0018 -0.0016 -0.0015 -0.0013 -0.0012 -0.0011 -0.0009 -0.0008 3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 est Steel tens strain-0.0246 -0.022068 -0.01996 -0.018171-0.0166366-0.0153 -0.0141 -0.0131 -0.0122 -0.0114 -0.0106 -0.01 -0.0094 -0.0088 -0.0083 -0.0078 -0.0074 -0.007 -0.0066 -0.0063 -0.0059 -0.0056 -0.0054 -0.0051 -0.0048 -0.0046 -0.0044 -0.0042 -0.004 -0.0038

fsc Steel comp stress -370.2 -274.0 -193.7 -125.6 -67.1 -16.4 28.0 67.3 102.2 133.5 143.5 169.0 192.2 213.3 232.8 250.6 267.1 282.4 296.6 309.9 322.2 333.8 344.6 354.8 364.4 373.4 381.9 390.0 397.7 404.9 2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -423.9 -387.8 -354.0 -322.1 -292.2 -263.9 -237.3 -212.0 -188.1 -165.4 3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 fst Steel tens stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8

Fsc Steel comp force-348918-258239.1 -182519-118339.44-63247.973 -15442 26433.763418.496321.6 125784 135227 159249 181099 201059 219365 236213 251771 266182 279568 292035 303674 314565 324778 334375 343409 351928 359976 367590 374805 381651 2 inter Fs -273182 -273182 -273182-273181.97-273181.97-273182-273182-273182-273182-273182-273182-273182-273182-273182-273182-273182-273182-273182-273182-273182-266365-243675-222398-202405-183584-165835-149069-133206-118175-103912 3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Fst Steel tens force -409773 -409773 -409773-409772.95-409772.95-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773-409773

z Conc lever arm 438.98436.70227 434.428 432.15367 429.87937 427.605425.331423.056420.782418.508416.234 413.959411.685409.411407.136 404.862402.588400.313398.039 395.765393.491391.216388.942 386.668384.393382.119379.845 377.57 375.296373.022

N Fc + Fsc - Fst -572.63 -436.5886 -315.504-205.95951-105.50335-12.333 74.9077157.257235.525310.352 365.16 434.547501.761567.086630.756 692.969753.892813.667872.418 930.25 994.0711073.021149.87 1224.831298.041369.681439.86 1508.7 1576.311642.78

M M O R 127.1 154.33796178.5744200.44659 220.41287 238.81 255.893271.854286.846300.988 311.18 323.891335.991 347.53 358.554 369.099379.197388.873398.152 407.052415.591423.784431.644 439.182446.409453.333459.962 466.304472.365478.151 Labels for chart

N diff 136.04 121.08 109.54 100.46 93.17 87.24 82.35 78.27 74.83 54.81 69.39 67.21 65.32 63.67 62.21 60.92 59.78 58.75 57.83 63.82 78.95 76.86 74.95 73.22 71.63 70.18 68.84 67.61 66.47 65.42 M diff 27.24 24.24 21.87 19.97 18.40 17.08 15.96 14.99 14.14 10.19 12.71 12.10 11.54 11.02 10.54 10.10 9.68 9.28 8.90 8.54 8.19 7.86 7.54 7.23 6.92 6.63 6.34 6.06 5.79 5.52

16 Bar diameter a7978.67

d' = 86 d = 464 mm Asc 1608 mm² spacing = 189 mm b149038

Interval = 5.980 40 intervals c -4E+07 16 Bar diameter continued

x Neutral axis 47.01 52.99 58.97 64.95 70.93 76.91 82.89 88.87 94.85 100.83 106.81 112.80 118.78 124.76 130.74 136.72 142.70 148.68 154.66 160.64 166.62 172.60 178.58 184.56 190.54 196.52 202.50 208.48 214.46 220.44 Fc Conc comp force375097422811.32470525.7518240.06 565954.43 613669 661383 709098 756812 804526 852241 899955 947669 9953841043098 1090812 1138527 1186241 1233956 1281670 1329384 1377099 1424813 1472527 1520242 1567956 1615671 1663385 1711099 1758814

2 inter d' 275.00 3 inter d' 0.00 4 inter d' 0.00 5 inter d' 0.00 6 inter d' 0.00 7 inter d' 0.00 8 inter d' 0.00 9 inter d' 0.00

ec max Limiting strain 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035

esc Steel comp strain-0.0029 -0.00218 -0.0016 -0.0011341-0.0007434-0.0004 -0.0001 0.000110.000330.000510.00068 0.000830.000970.00109 0.0012 0.0013 0.001390.001480.00155 0.001630.001690.001760.00181 0.001870.001920.001970.00201 0.00206 0.0021 0.00213 2 inter strain -0.017 -0.014663 -0.01282-0.0113184-0.0100691 -0.009 -0.0081 -0.0073 -0.0066 -0.006 -0.0055 -0.005 -0.0046 -0.0042 -0.0039 -0.0035 -0.0032 -0.003 -0.0027 -0.0025 -0.0023 -0.0021 -0.0019 -0.0017 -0.0016 -0.0014 -0.0013 -0.0011 -0.001 -0.0009 3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 est Steel tens strain -0.031 -0.027146 -0.02404-0.0215026-0.0193947-0.0176 -0.0161 -0.0148 -0.0136 -0.0126 -0.0117 -0.0109 -0.0102 -0.0095 -0.0089 -0.0084 -0.0079 -0.0074 -0.007 -0.0066 -0.0062 -0.0059 -0.0056 -0.0053 -0.005 -0.0048 -0.0045 -0.0043 -0.0041 -0.0039

fsc Steel comp stress -434.8 -434.8 -320.8 -226.8 -148.7 -82.7 -26.2 22.6 65.3 103.0 136.4 148.2 175.0 199.3 221.4 241.5 260.0 277.0 292.6 307.1 320.6 333.1 344.8 355.7 365.9 375.5 384.6 393.1 401.2 408.8 2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -415.3 -378.0 -343.0 -310.3 -279.6 -250.6 -223.4 -197.6 -173.3 3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 fst Steel tens stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8

Fsc Steel comp force-262255-262254.7 -193506-136815.16-89683.295 -49881 -15821 13654.939414.2 62118 82279.6 89365.5 105574 120229 133543 145692 156823 167059 176503 185244 193357 200908 207954 214542 220718 226517 231974 237118 241974 246568 2 inter Fs -174836-174836.5 -174836-174836.46-174836.46-174836-174836-174836-174836-174836-174836-174836-174836-174836-174836-174836-174836-174836-174836-174836-174836-167006-151987-137941-124777-112414-100781 -89816 -79462 -69670 3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Fst Steel tens force -262255-262254.7 -262255-262254.69-262254.69-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255-262255

z Conc lever arm 445.2 442.80291440.4108438.01871 435.62662 433.235430.842 428.45 426.058423.666421.274 418.882 416.49 414.098411.706 409.314406.921404.529402.137 399.745397.353394.961392.569 390.177387.785385.393 383 380.608378.216375.824

N Fc + Fsc - Fst -324.25 -276.5345 -160.071-55.666258 39.17998 126.697208.471285.661359.135429.553497.429 552.229616.152678.522 739.55 799.414858.259916.209973.367 1029.821085.651148.751218.52 1286.871353.93 1419.8 1484.61 1548.431611.361673.46

M M O R 96.098107.31074131.2887152.75954 172.19542 190.018206.526221.941236.424250.102 263.07 273.34 285.105296.348 307.11 317.423327.315 336.81 345.927 354.683363.092371.166378.917 386.353393.483400.313 406.85 413.1 419.067424.756

Labels for chart 8B16

N diff 47.71 116.46 104.41 94.85 87.52 81.77 77.19 73.47 70.42 67.88 54.80 63.92 62.37 61.03 59.86 58.85 57.95 57.16 56.46 55.83 63.10 69.78 68.35 67.05 65.88 64.80 63.82 62.93 62.10 61.34 M diff 11.21 23.98 21.47 19.44 17.82 16.51 15.41 14.48 13.68 12.97 10.27 11.77 11.24 10.76 10.31 9.89 9.49 9.12 8.76 8.41 8.07 7.75 7.44 7.13 6.83 6.54 6.25 5.97 5.69 5.42

12 Bar diameter a7978.67

d' = 84 d = 466 mm Asc 905 mm² spacing = 191 mm b83833.6

Interval = 6.286 40 intervals c -2E+07

x Neutral axis 36.02 42.31 48.59 54.88 61.16 67.45 73.74 80.02 86.31 92.59 98.88 105.17 111.45 117.74 124.02 130.31 136.59 142.88 149.17 155.45 161.74 168.02 174.31 180.60 186.88 193.17 199.45 205.74 212.03 218.31 Fc Conc comp force287400337552.44387705.3437858.22 488011.11 538164 588317 638470 688623 738776 788928 839081 889234 939387 9895401039693 1089846 1139999 1190152 1240304 1290457 1340610 1390763 1440916 1491069 1541222 1591375 1641528 1691680 1741833

2 inter d' 275.00 3 inter d' 0.00 4 inter d' 0.00 5 inter d' 0.00 6 inter d' 0.00 7 inter d' 0.00 8 inter d' 0.00 9 inter d' 0.00

ec max Limiting strain 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035

esc Steel comp strain-0.0047 -0.003449 -0.00255-0.0018573-0.0013067-0.0009 -0.0005 -0.0002 9.4E-050.000320.00053 0.0007 0.00086 0.001 0.00113 0.001240.001350.001440.00153 0.001610.001680.001750.00181 0.001870.001930.001980.00203 0.002070.002110.00215 2 inter strain -0.0232 -0.01925 -0.01631-0.0140387-0.0122363-0.0108 -0.0096 -0.0085 -0.0077 -0.0069 -0.0062 -0.0057 -0.0051 -0.0047 -0.0043 -0.0039 -0.0035 -0.0032 -0.003 -0.0027 -0.0025 -0.0022 -0.002 -0.0018 -0.0017 -0.0015 -0.0013 -0.0012 -0.001 -0.0009 3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 est Steel tens strain-0.0418 -0.035052 -0.03006-0.0262201-0.0231658-0.0207 -0.0186 -0.0169 -0.0154 -0.0141 -0.013 -0.012 -0.0111 -0.0104 -0.0097 -0.009 -0.0084 -0.0079 -0.0074 -0.007 -0.0066 -0.0062 -0.0059 -0.0055 -0.0052 -0.0049 -0.0047 -0.0044 -0.0042 -0.004

fsc Steel comp stress -434.8 -434.8 -434.8 -371.5 -261.3 -171.8 -97.4 -34.8 18.7 65.0 105.3 122.7 154.3 182.4 207.8 230.6 251.4 270.3 287.7 303.6 318.3 331.9 344.5 356.3 367.2 377.5 387.1 396.1 404.5 412.5 2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -404.4 -365.9 -330.1 -296.5 -265.1 -235.6 -207.9 -181.8 3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 fst Steel tens stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8

Fsc Steel comp force-147518-147518.3 -147518-126031.88-88671.268 -58274 -33060 -11806 6351.1822043.435740.4 41647.652346.961903.8 70492 78251.6 85297 91722.597606.5 103015 108002 112617 116899 120882 124598 128072 131327 134383 137258 139967 2 inter Fs -98346 -98345.51 -98345.5-98345.509-98345.509 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -98346 -91462 -82768 -74658 -67076 -59972 -53303 -47028 -41115 3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Fst Steel tens force -147518-147518.3 -147518-147518.26-147518.26-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518-147518

z Conc lever arm 451.59449.07725446.5629444.04855 441.5342 439.02 436.506433.991431.477428.962426.448 423.934421.419418.905416.391 413.876411.362408.848406.333 403.819401.305 398.79 396.276 393.762391.247388.733386.219 383.704 381.19 378.675

N Fc + Fsc - Fst -105.98 -55.82959 -5.6767 65.962565 153.47607 234.026309.394 380.8 449.11 514.955578.805 634.865695.717755.427814.168 872.081929.279985.8571041.89 1097.46 1152.6 1207.361268.68 1331.511393.49 1454.7 1515.21 1575.091634.391693.17

M M O R 74.89487.114606 99.0831 114.90329 133.50325 150.521166.297181.063194.987208.187220.754 231.581243.071254.091264.673 274.845284.628294.041303.098 311.812320.194328.252335.994 343.427350.557357.388363.925 370.172376.133381.809 Labels for chart

N diff 50.15 50.15 71.64 87.51 80.55 75.37 71.41 68.31 65.85 63.85 56.06 60.85 59.71 58.74 57.91 57.20 56.58 56.04 55.56 55.14 54.77 61.32 62.83 61.98 61.21 60.51 59.88 59.30 58.78 57.13 M diff 12.22 11.97 15.82 18.60 17.02 15.78 14.77 13.92 13.20 12.57 10.83 11.49 11.02 10.58 10.17 9.78 9.41 9.06 8.71 8.38 8.06 7.74 7.43 7.13 6.83 6.54 6.25 5.96 5.68 5.17

(6)

40 Bar diameter continued Interval = 43.28519 intervals Nuz 234.72 239.00 243.29 247.58 251.86 256.15 260.44 264.73 269.01 273.30 277.59 320.87 364.16 407.44 450.73 494.01 537.30 580.58 623.87 667.15 710.44 753.72 797.01 840.29 883.58 926.86 970.15 1013.43 1056.721100.00 1872718 1906923 1941128 1975333 2009538 2043743 2077948 2112153 2146358 2180563 2214768 2560124 2905480 3250836 3596192 3941548 4286904 4632260 4977616 5322973 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.003320.003130.00298 0.002860.002760.00267 0.0026 0.002540.002490.00244 0.0024 0.002370.002330.00175 0.002010.002040.002060.00209 0.002110.002130.002160.00218 0.0022 0.002220.002240.00241 0.002540.002640.002720.00279 0.002850.002750.002630.00253 0.002450.002390.002340.00229 0.002250.002220.002190.00216 0.002140.002120.00175 -0.0006 -0.0005 -0.0005 -0.0004 -0.0003 -0.0003 -0.0002 -0.0001 -8E-05 -2E-05 3.3E-05 0.0005 0.000860.001140.001360.00155 0.001710.001750.001750.00175 0.001750.001750.001750.00175 0.001750.001750.001750.00175 0.001750.001750.00175

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.0032 -0.0031 -0.003 -0.0029 -0.0028 -0.0026 -0.0025 -0.0024 -0.0024 -0.0023 -0.0022 -0.0014 -0.0008 -0.0004 5.6E-060.00031 0.000570.000750.000870.00097 0.001050.001110.001160.00121 0.001250.001280.001310.00134 0.001360.001380.00175 383.6 389.0 394.1 399.1 403.9 408.6 413.1 416.6 416.6 416.6 416.649 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 414.8 410.2 406.1 331.9 -120.1 -105.4 -91.2 -77.5 -64.3 -51.5 -39.1 -27.2 -15.6 -4.4 6.52174 100.1 153.2 209.4 254.8 292.2 323.6 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.78 -281.7 -165.0 -73.1 1.1 62.4 113.7 131.4 156.3 175.7 191.2 203.9 214.5 223.5 231.2 237.9 243.8 248.9 253.5 257.6 331.9 1446264 1466431 1485888 1504670 1522813 1540349 1557308 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1570731 1563808 1546493 1530995 1251108 -301948-264975-229305-194870-161608-129459-98368 -68285 -39160 -10949 16390.9 251505 385152 526294 640327 734377 813273 834072 834072 834072 834072 834072 834072 834072 834072 834072 834072 834072 834072 834072 834072 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

-2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -2E+06 -1E+06 -622087-2756494250.35 235100 428755 495474 589228 662286 720818 768766 808762 842633 871686 896880 918937 938408 955723 9712211251108

356.114354.399352.684350.969 349.254 347.54 345.825 344.11 342.395 340.68 338.966321.652 304.338287.024 269.71 252.396 235.082217.768200.454 183.14 175 175 175 175 175 175 175 175 175 175 175

1377.941469.291558.621646.04 1731.651815.54 1897.8 1975.51 2038.842101.25 2162.8 3320.37 4239.285072.21 5811.5 6481.76 7099.667532.547971.658390.06 8610.95 8658.9 8698.9 8732.77 8761.828787.028809.078821.62 8821.628821.628821.62 879.112885.566891.779897.756 903.504909.029914.335918.905 921.009922.995924.865836.173 759.531687.287614.728538.794 457.41 386.281298.462202.306 148.735140.344133.345127.417 122.333117.924114.064109.445 103.38597.9606 0

91.35 89.33 87.42 85.61 83.89 82.25 77.71 63.33 62.42 61.54 1157.57 918.91 832.94 739.29 670.26 617.91 432.87 439.11 418.41 220.89 47.95 40.00 33.87 29.05 25.19 22.06 12.55 0.00 0.00 0.00 0 6.45 6.21 5.98 5.75 5.52 5.31 4.57 2.10 1.99 1.87 -88.69 -76.64 -72.24 -72.56 -75.93 -81.38 -71.13 -87.82 -96.16 -53.57 -8.39 -7.00 -5.93 -5.08 -4.41 -3.86 -4.62 -6.06 -5.42 -97.96 0

32 Bar diameter continued Interval = 43.09019 intervals

Nuz

232.68 237.54 242.40 247.26 252.12 256.98 261.84 266.70 271.57 276.43 281.29 324.38 367.47 410.56 453.65 496.74 539.83 582.92 626.01 669.10 712.19 755.28 798.37 841.46 884.55 927.64 970.73 1013.82 1056.911100.00 1856463 1895246 1934030 1972813 2011597 2050381 2089164 2127948 2166731 2205515 2244298 2588100 2931902 3275704 3619505 3963307 4307109 4650911 4994713 5338515 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333

0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.003310.003120.00297 0.002850.002750.00267 0.0026 0.002540.002490.00244 0.0024 0.002370.002330.00175

0.002090.002110.002140.00217 0.0022 0.002220.002240.00227 0.002290.002310.002330.00249 0.0026 0.0027 0.002770.00284 0.002890.002780.002650.00255 0.002470.002410.002360.00231 0.002270.002240.002210.00218 0.002160.002130.00175 -0.0006 -0.0006 -0.0005 -0.0004 -0.0003 -0.0002 -0.0002 -0.0001 -4E-05 1.8E-057.8E-050.00053 0.000880.001160.001380.00156 0.001720.001750.001750.00175 0.001750.001750.001750.00175 0.001750.001750.001750.00175 0.001750.001750.00175

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.0034 -0.0032 -0.0031 -0.003 -0.0028 -0.0027 -0.0026 -0.0025 -0.0024 -0.0023 -0.0022 -0.0014 -0.0008 -0.0004 -2E-05 0.00029 0.000540.000720.000850.00095 0.001030.001090.001140.00119 0.001230.001260.001290.00132 0.001340.001370.00175 399.1 404.9 410.4 415.8 416.6 416.6 416.6 416.6 416.6 416.6 416.649 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 412.9 408.7 331.9 -127.3 -110.4 -94.1 -78.5 -63.5 -49.1 -35.2 -21.8 -8.9 3.6 15.6465 106.6 158.0 213.0 257.5 294.3 325.3 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.78 -284.0 -168.6 -77.5 -3.6 57.4 108.7 126.1 151.4 171.1 187.0 200.0 210.8 220.0 227.9 234.8 240.8 246.1 250.8 255.1 331.9 962860 976823 9902251003101 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268 1005268996188 985978 800709 -204797-177566-151426-126314-102171-78940 -56573 -35020 -14240 5810.2725167.2 171394 254160 342597 414234 473442 523198 533806 533806 533806 533806 533806 533806 533806 533806 533806 533806 533806 533806 533806 533806 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

-1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06 -1E+06-685312-406904-186937-8756.8 138510 262267 304320 365257 412869 451095 482462 508664 530880 549954 566510 581016 593829 605230 615440 800709

362.929360.984 359.04 357.096 355.151353.207351.262349.318 347.374345.429343.485326.249 309.013291.777274.541257.305 240.069222.833205.597188.361 181 181 181 181 181 181 181 181 181 181 181 1565.511645.481723.811800.58 1865.681927.691988.842049.18 2108.742167.572225.713079.45 3784.434436.635030.255580.53 6097.84 6494.3 6899.047290.46 7475.5 7506.877533.077555.29 7574.367590.927605.427618.24 7620.567620.567620.56 701.894707.792713.438718.837 722.148724.915727.532729.998 732.313734.477736.491681.914 630.924578.661 522.11 459.302 388.899321.432238.695146.519 100.30594.627889.885385.8642 82.411779.415176.789674.4705 70.763567.0675 0 8B32 79.98 78.33 76.77 65.09 62.01 61.15 60.34 59.56 58.83 58.14 853.74 704.98 652.21 593.62 550.28 517.31 396.46 404.74 391.41 185.04 31.37 26.20 22.22 19.07 16.56 14.51 12.81 2.32 0.00 0.00 0 5.90 5.65 5.40 3.31 2.77 2.62 2.47 2.32 2.16 2.01 -54.58 -50.99 -52.26 -56.55 -62.81 -70.40 -67.47 -82.74 -92.18 -46.21 -5.68 -4.74 -4.02 -3.45 -3.00 -2.63 -2.32 -3.71 -3.70 -67.07 0

25 Bar diameter continued Interval = 42.97719 intervals

Nuz

230.13 235.46 240.79 246.12 251.45 256.79 262.12 267.45 272.78 278.11 283.45 326.42 369.40 412.38 455.35 498.33 541.31 584.28 627.26 670.23 713.21 756.19 799.16 842.14 885.12 928.09 971.07 1014.05 1057.021100.00 1836101 1878644 1921186 1963728 2006270 2048813 2091355 2133897 2176439 2218982 2261524 2604419 2947314 3290210 3633105 3976000 4318895 4661791 5004686 5347581 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333 5485333

0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.003310.003120.00297 0.002850.002750.00267 0.0026 0.002540.002490.00244 0.0024 0.002370.002330.00175

0.002120.002150.002180.00221 0.002240.002270.002290.00232 0.002340.002360.002380.00253 0.002640.00273 0.0028 0.00286 0.002910.002790.002670.00257 0.002490.002420.002370.00232 0.002280.002240.002210.00219 0.002160.002140.00175 -0.0007 -0.0006 -0.0005 -0.0004 -0.0003 -0.0002 -0.0002 -1E-04 -3E-05 3.9E-05 0.0001 0.00055 0.000890.001170.001390.00157 0.001720.001750.001750.00175 0.001750.001750.001750.00175 0.001750.001750.001750.00175 0.001750.001750.00175

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.0035 -0.0033 -0.0032 -0.003 -0.0029 -0.0028 -0.0026 -0.0025 -0.0024 -0.0023 -0.0022 -0.0014 -0.0009 -0.0004 -3E-05 0.00027 0.000530.000710.000830.00093 0.001010.001080.001130.00118 0.001220.001260.001290.00131 0.001340.001360.00175 406.6 412.8 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.649 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 416.6 414.4 410.1 331.9 -136.5 -117.6 -99.5 -82.1 -65.5 -49.7 -34.4 -19.8 -5.7 7.8 20.8592 110.3 160.8 215.1 259.1 295.6 326.2 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 331.9 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.78 -285.4 -170.7 -80.0 -6.4 54.5 105.8 123.1 148.5 168.5 184.5 197.7 208.7 218.0 226.0 233.0 239.1 244.5 249.3 253.6 331.9 598743 607923 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 613567 610315 603980 488714 -134006-115409-97636 -80632 -64350 -48744 -33773 -19399 -5586.9 7695.6120478.4 108261 157816 211134 254388 290181 320290 325809 325809 325809 325809 325809 325809 325809 325809 325809 325809 325809 325809 325809 325809 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-640270-420254-251432-117798-9389.480320.8 155786 181245 218757 248111 271708 291089 307293 321040 332851 343108 352098 360042 367113 373448 488714 367.449365.317363.184361.051 358.918356.785354.653 352.52 350.387348.254346.121328.931 311.74 294.55 277.359260.168 242.978225.787208.597191.406 184.5 184.5 184.5 184.5 184.5 184.5 184.5 184.5 184.5 184.5 184.5 1660.571730.891796.851856.39 1915.221973.362030.882087.79 2144.152199.97 2255.3 2905.99 3467.273997.114491.674960.07 5408.545782.416162.826535.07 6696.42 6715.8 6732 6745.75 6757.566767.826776.816784.75 6788.576788.576788.57 564.512569.982574.618578.031 581.263584.314587.183 589.87 592.376594.701596.844566.898 534.609497.023452.302399.242 337.02 272.236193.438104.357 63.0729 59.497 56.507553.9711 51.792 49.8997 48.241 46.7753 44.870642.5332 0

References

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