Yield From CA & Dam Design_3

7/31/2019 Yield From CA & Dam Design_3

1/92

Catchment area analysis for Jayakwadi Dam reservoir

CATCHMENT AREA = 21,750 Km^2

A = 2.18E+10 m^2= 2175000 Ha

RAIN GAUGE DATA

STN NO.

RAINFALL

"P" IN mm

R1 600

R2 710R3 823

DETERMINATION OF AVERAGE ANNUAL RAINFALL

1. ARITHMATIC MEAN METHOD

Pmean = (P1+P2+P3.+Pn)/n

= 711 mm

2. WEIGHTED MEAN METHOD

2.1 THIESEN POLYGON METHOD

STN NO.RAINFALL

"P" IN mmAREA Km

2AREA m

2

R1 600 8451 8.45E+09

R2 710 7302 7.3E+09

R3 823 5997 6E+09

Avg & Tot 711 21750 2.18E+10

Pmean = (P1 X a1 + P2 X a2 + P3 X a3 + ...Pn X an)/A

= 698 mm

2.2 ISOHYTAL METHOD

Isohyte m

AREA

Km^2

AVERAGE

RAINFALL

625

13435 637 5


2/92

Catchment area analysis for Jayakwadi Dam reservoir775

7948 787.5

800

Pmean = (P1 X a1 + P2 X a2 + P3 X a3 + ...Pn X an)/A

= 706 mm

AVERAGE ANNUAL RAINFALL = MAXIMUM OF ABOVE THREE VALUES

= 711 mm

RUNOFF CALCULATIONS

1.1 Inglis and DeSouza's Formula

for ghat areas R = 0.85 P -305

for Plains R = (P-178)xP/2540

R = avg annual runoff in mm

P = avg annual rainfall in mm

for ghat areas

R = 299.35 mm

Volume = R x A = 6510862500 m^3

= 6510.8625 Mm^31.2 Lacey's Formula

R = P/(1+(3048/P)*(F/S))



F= monsoon duration factor

S= catchment factor depends of class of catchment

Cl D f hill d l i i h li l l i i


3/92

Catchment area analysis for Jayakwadi Dam reservoir

R = P - (T/0.208)



T = mean annual temperature in degree Celcius = 30

R = 566.7692 mm

Volume = R x A = 1.2327E+10 m^3

= 12327.2308 Mm^3

MAXIMUM OR PEAK FLOOD DISCHARGE

1. Dicken's Formula

Q = C . A^(3/4)

Q = maximum flood discharge in cumec

A = catcment area in SQ Km

C = Coeff. For different regions

= 20 for western ghats

Q = 35819.91 M3/S

2. Ryve's Formula

Q = C . A^(2/3)

Q = maximum flood discharge in cumec

A = catcment area in SQ Km

C = Coeff. For different regions

= 10 limited areas near hills

Q = 17909.95 M

3

/S

3. Inglis Formula


4/92

HYDROMET DIVISION

INDIA METEOROLOGICAL DEPART

DISTRICT RAINFALL (MM.) FOR LA

District : AURANGABAD

Note : (1) The District Rainfall(mm.)(R/F) shown below are the arithmatic averages of Rainfal

YEAR JANUARY FEBRU MARCH APRIL MAY JUNE JULY AUGUST

2007 0 0 0 1.8 0 134.1 162.8 123

2008 0 39 39 1.8 0 73.5 88 123.9

2009 0 0.1 0.1 0.5 14.1 34.3 181.3 129.8

2010 27 19.2 19.2 0 2.5 158.6 246.3 252.6

2011 0 3.1 3.1 1.4 3.7 57.5 187.3 209.2

YearTotal Avg

Rainfall

2007 587

2008 684

2009 744

2010 939

2011 602

Avg Rainfall 711

.

Annual Rainy Discharge Yield

Av. Annual


5/92

Oct 87 4.20 3663 1E+09 1329

Nov 14 1.00 2485 2E+08 215

Dec 12 0.80 1692 1E+08 117

Total 813.3 46.3 1E+10 12128

Discharge


6/92

ENT

T FIVE YEARS

l of Stations under the District.

SEPTEMBER OCTOBER NOVEMBER DECEMBER

156 0 9.1 0

314.4 40 3 0.6

164.5 53.4 162.3 3.3

107.4 45.6 78 0

111 25.2 0 0

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

l Rainfall (mm) 4 3 5 3 36 141 166 167 176 87 14 12

0

50

100

150

200

AnuualRainfallmm

Av. Annual Rainfall (mm) Vs Month


7/92

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

m3/Sec 268 132 352 159 2876 3401 2734 2883 3647 3663 2485 1692

0

500


8/92

PROBLEM

Check the stability of the gravity dam section shown in the accompanying figure

for reservoir empty and reservoir full conditions. Neglect the seismic forces.

Also find principal stress and shear at toe and heel of the dam(b) Check the stability of the dam section by consideribg seismic forces also assuming

assuming constant value of the seismic coefficient alpha - 0.1 for entire dam both in

horizontal as well as vertical directions.

Take specific weight of concrete = 2.4 t/m3

(23.544 kN/m3); coefficient of friction mue = 0.7

and shear strength of concrete c = 14 kg/cm2

(1373.4 kN/m2)

b1 = 7.5 m

b2 = 7 m

b3 = 4.5 m

b4 = 43.75 m

b = 55.75 m

H = 72 m

H/3 = 24 m

RL1 = 0 m

RL2 = 45 m

RL3 = 62.5 m

RL4 = 72 m

RL5 = 75 m

H1 = 0 m

H2 = 45 m

H3 = 62.5 mH4 = 72 m

H5 = 75 m

c = 2.4 t/m3

c = 23.544 N m

w = 1 t/m3

= 0.7

c = 14 kg/cm2

c = 140 t/m2

1373 4 kN/2

U1U

b1

b3

H/3

PH

W2

W1

RL2

RL4

PV1

PV2

U

RL1

b2

RL5

H

b1

heel


9/92

Sr. No. Item Description & Dimension Vertical

1 Weight of dam

W1 = 1/2 x 45 x 4.5 x 2.4 243

W2 = 7.5 x 75 x 2.4 1350

W3 = 1/2 x 43.75 x 62.5 x 0.7 3281.25

Sum V1 = 4874.25

2 Water pressure

PH = 1/2 x 72 x 72 x 1

Pv1 = 4.5 x 27 x 1 121.5

Pv2 = 1/2 x 4.5 x 45 x 1 101.25

3 Uplift pressure

U1 = 1/3 x 72 x 7 -168U2 = 1/2 x 2/3 x 72 x 7 -168

U3 = 1/2 x 1/3 x 72 x 48.75 -585

(a) Stability analysis

Case I Reservoir empty condition

M1 Where x is the dist. Of the point of intersection O' of the

V1 resultant force with the base from the toe of the dam

172646.4

4874.25

= 35.40 m

2592.00

x =

=

Sum V2 = 4176 2592Sum H1 =

Horizontal


10/92

Vertical stress at the heel of the dam

yU = (V1/b) x (1+(6e/b))

= 158.2374 t/m2

(compressive)

Principal stress at the toe of the dam

ID = yD . Sec2

D

tan D = 0.7

Sec2

D = 1.49

ID = 24.7691 t/m2


IU = yU . Sec2

U

tan U = 0.1

Sec2

U = 1.01

IU = 159.8198 t/m2

Shear stress at the toe of the dam

(yx)D = yD . tan D= 11.63649 t/m

2

Shear stress at the heel of the dam

(yx)U = yU . tan U= 15.82374 t/m

2


11/92

The dist. Of point O' from the mid-point of the base O, i.e. eccentrically is

b - x

2

= 1/2 x 55.75 - 20.5

= 7.375 m

= -7.375 m ...use this value if above value is -ve

Vertical stress at the toe of the dam

yD = (V2/b) x (1+(6e/b))

= 134.3602 t/m2 (compressive)


yU = (V2/b) x (1-(6e/b))

= 15.45143 t/m2

(compressive)


ID = yD . Sec2

D

tan D = 0.7

Sec2

D = 1.49

ID = 200.1967 t/m2


IU = yD . Sec2

U -p.tan2

U

tan U = 0.1

tan2

U = 0 01

e =


12/92


(yx)U = -(yU - p). tan U

= 5.654857 t/m2

Factor of safety against overturning

M1 (+ve)

M1 (-ve)

= 1.87

Check : Since F.S.>1.5 the dam section is safe against overturning

Factor of safety against sliding

V2

H1

= 1.128

Check : Since F1 > 1 the dam section is safe against sliding

Shear friction factor

V2 + bc

H1

= 4.138966


Table 1: Seismic forces and their moments

Sr. No. Item Description & Dimension Vertical

Inertialforce due to earthquake

(a) Vertical acceleration

F.S. =

F1 =

F2 =

Forces (t/m)

Horizontal


13/92

Sum V3 = 3688.575

(a) Stability analysis by considering seismic forces

Hydrodynamic pressure caused by horizontal acceleration due to earthquake

4.5

72

= 0.0625

= 3.576 degree

Cm = 0.735(1-3.576/90)

C = 0.706 at base

The intensity of hydrodynamic pressure at the base

pe = C wH4

= 0.706 x 0.1 x 1 x 72

= 5.0832 t/m2

The horizontal componeent of the total hydrodynamic pressure acting per unit length of th

Pe = 0.726 pe H4 ..(Zanger's formula)

= 265.709 t/m

The moment of Pe @ the toe of the dam

Me = 0.299 pe (H4)2

= 0.299 x 5.0832 x square(72)

= 7879.041 t-m/m



48260.32

3688.575

= 13.10 m

The dist. Of point O' from the mid-point of the base O, i.e. eccentrically isb - x

2

tan =

Sum H2 =

Since the height of the vertical portion of the upstream face of the dam is less than half the

given by

x =

=

e =


14/92

yU = (V3/b) x (1-(6e/b))

= -39.0449 t/m2

(tensile)


ID = yD . Sec2

D

ID = 255.342 t/m2 (compressive)


IU = yU . Sec2

U -(p+pe).tan2

U

IU = -40.2114 t/m2 (tensile)Hence the dam section is unsafe


(yx)D = yD . tan D= 119.9594 t/m

2


(yx)U = -*yU - (p+pe)]. tan U= 11.61281 t/m2


M(+ve)

M(-ve)

= 1.35

Check : Since F.S.


15/92

= 3.105

Check : Since F2


16/92

;

3

b4

W3

RL3

D

X1

Y1

toe

O

b


17/92

Anticlockwise

(+ve) (t-m/m)

clockwise (-

ve) (t-m/m)Remarks

52.75 12818.25

47.50 64125

29.17 95703.125

Sum M1 = 172646.375

24.00 62208.00

53.5 6500.25

54.25 5492.8125

52.25 877853.42 8974

32.5 19012.5

Sum 184639.4375 98972.5

Sum M2 =

For Reservoir

empty condition

For Reservoir full

condition

Lever Arm

from toe of

dam (m)

85667


18/92


19/92


20/92

Anticlockwise

(+ve) (t-m/m)

clockwise (-

ve) (t-m/m)Remarks

Lever Arm

from toe of

dam (m)

Moment @ toe of dam

Inertia force due to

vertical acceleration is

considered to act at

the C.G. of the entire

dam section and that


21/92

184639.4375 136379.12

3345.13 Sum M3 = 48260.32

dam

Moments = been considered

total height of the dam, the slope of the U/S face of the dam is


22/92

sile stress is substantial the dam is unsafe under seismic loading


23/92

PROBLEM

Check the stability of the gravity dam section shown in the accompanying figure

for reservoir empty and reservoir full conditions. Neglect the seismic forces.

Also find principal stress and shear at toe and heel of the dam

(b) Check the stability of the dam section by consideribg seismic forces also assuming

assuming constant value of the seismic coefficient alpha - 0.1 for entire dam both in

horizontal as well as vertical directions.

Take specific weight of concrete = 2.4 t/m3

(23.544 kN/m3); coefficient of friction mue = 0.7 ;

and shear strength of concrete c = 14 kg/cm2

(1373.4 kN/m2)

Silt density for horizontal pressure= 1360 kg/m3

& for vertical force = 1925 kg/m3

b1 = 7.5 m c = 2.4 t/m3

b2 = 7 m c = 23.544 kN/m3

b3 = 4.5 m w = 1 t/m3

b4 = 43.75 m SH

= 1.36 t/m3

b = 55.75 m SV = 1.925 t/m3

H = 72 m = 0.7

H/3 = 24 m c = 14 kg/cm2

RL1 = 0 m c = 140 t/m2

RL2 = 45 m c = 1373.4 kN/m2

RL3 = 62.5 m X1 = 0.7

RL4 = 72 m Y1 = 1

RL5 = 75 m Seismic zone= I

RL6 = 5 m Fetch, F = 20 kmRL7 = 6 m V = 100 km/hr

H1 = 0 m

H2 = 45 m

H3 = 62.5 m

H4 = 72 m

H5 = 75 m

HS = 5 m

H' = 6 m

Forces considered Requirements for stability1 Dead load, W1, W2, W3 1 Sliding of dam

2 Reservoir loads, PH, PV1, PV2 2 Overturning of dam

3 Tailwater loads, P'H 3 Over-stresses in dam & foundation material

4 Uplift pressure, U1, U2, U3 Load combinations

5 Earthquake forces, PE, VE, HE A Reservoir empty

6 Silt pressures, PSH, PSV B Full reservoir + normal tailwater + normal uplift + normal silt

7 Wave pressure, PW D Combination A + earthquake

E Combination B + earthquake

Load combination

Inputs Inputs

U2

U1 U3

b1

b4b3

H/3

PH

W3

W2

W1

RL2

RL4

RL3PV1

PV2

U

X1

Y1

RL1

b2

RL5

H4=72

b1

O

heel

b=55.75

wH

wH w(H+(H-H')/3)

PSHHS

PSv

PE

VE

HE

PW 3Hw/8

FB

RL7

R

X


24/92

A Reservoir empty

Table 1: Forces (Other than seismic) and their moments

VerticalAnticlockwise

(+ve) (t-m/m)

Clockwise

(-ve) (t-m/m)

Weight of dam

W1 = 1/2 x 4.5 x 45 x 2.4 243 52.75 12818.25

W2 = 7.5 x 75 x 2.4 1350 47.50 64125

W3 = 1/2 x 43.75 x 62.5 x 2.4 3281.25 29.17 95703.125

4874.25 Sum M1 = 172646.375



M1 Where X is the dist. Of the point of intersection O' of the

V1 resultant force with the base from the toe of the dam172646.38

4874.25

X = 35.40 m


b - X

2

= 1/2 x 55.75 - 35.4

= 27.875 - 35.4

= -7.525 m should be < b/6= 7.525 m ...use this value if above value is -ve

Check :


yD = (V1/b) x (1-(6e/b))

= 16.623556 t/m2

(compressive)


yU = (V1/b) x (1+(6e/b))



ID = yD . Sec2

D

tan D = 0.7

Sec2

D = 1.49

ID = 24.769098 t/m2


no tension

Forces (t/m) Lever Arm

from toe of

dam (m)

Moment @ toe of dam

HorizontalRemarksDescription & DimensionItemSr. No.

1

Sum V1 =

For Reservoir

empty condition

X =

=

e =


25/92

IU = yU . Sec2

U

tan U = 0.1

Sec2

U = 1.01

IU = 159.81981 t/m2


(yx)D = yD . tan D

= 11.636489 t/m2


(yx)U = yU . tan U

= 15.823743 t/m2

Load combination

D Combination A + earthquake

Seismic coefficient method

= I 0

Where,

= Seismic coefficient

= 1 soil-foundation system factor for dam

I = 2 Importance factor for dams

0 = 0.01 basic seismic coefficient

= 0.02

h = 1.5 x 0

h = 0.03

Horizontal inertia forces HE & M Vertical Inertia forces VE & M

Y1 = 12.5 Y1 = 9.38

F12.5= 6.251175 t F12.5= 4.69 t

M12.5= 40.23999 t-m M12.5= 30.18 t-m

Y2 = 37.5 Y2 = 28.13

F37.5= 25.21051 t F37.5= 18.91 t

M37.5= 408.72418 t-m M37.5= 306.54 t-m

Y3 = 75 Y3 = 56.25F75= 49.951175 t F75= 37.46 t

M75= 1978.9642 t-m M75= 1484.22 t-m

Load combination

D Combination A + earthquake

Table 2:

Vertical VEAnticlockwise

(+ve) (t-m/m)

Clockwise

(-ve) (t-m/m)

Sr. No. Item Description & Dimension


from toe of

dam (m)

Moment @ toe of dam

RemarksHorizontal HE


26/92

F75= Horizontal 1978.964152

F75= Vertical 37.46 1484.223

Sum V2 = 37.46 Sum H2= 49.9512 Sum M2 = 3463.187266

Load combination A

Sum V1 = 4874.25 Sum H1= 0 Sum M1 = 172646.375

Load combination A +

Inertia force due to

earthquake

Sum V3= 4911.71 Sum H3= 49.9512 Sum M3 = 176109.56



M3 Where X is the dist. Of the point of intersection O' of the

V3 resultant force with the base from the toe of the dam176109.56

4911.71

X = 35.90 m


b - X

2

= 1/2 x 55.75 - 35.9

= 27.875 - 35.9

= -8.025 m should be < b/6= 8.025 m ...use this value if above value is -ve

Check :


yD = (V3/b) x (1-(6e/b))

= 12.010383 t/m2

(compressive)


yU = (V3/b) x (1+(6e/b))



ID = yD . Sec2

D

tan D = 0.7

Sec2

D = 1.49

ID = 17.895471 t/m2


2

3

For Reservoir

empty condition

49.951175

Inertial force due to

earthquake

1

X =

=

e =

no tension


27/92

IU = yU . Sec2

U

tan U = 0.1

Sec2

U = 1.01

IU = 165.83653 t/m2


(yx)D = yD . tan D

= 8.4072683 t/m2


(yx)U = yU . tan U

= 16.419458 t/m2

Load combination

B Full reservoir + normal tailwater + normal uplift + normal silt

Table 3:

VerticalAnticlockwise

(+ve) (t-m/m)

Clockwise

(-ve) (t-m/m)

Weight of dam

W1 = 1/2 x 4.5 x 45 x 2.4 243 52.75 12818.25

W2 = 7.5 x 75 x 2.4 1350 47.50 64125

W3 = 1/2 x 43.75 x 62.5 x 2.4 3281.25 29.17 95703.125

4874.25 Sum H1 = 0.00 Sum M1 = 172646.375 0

Water pressure

PH = 1/2 x 72 x 72 x 1 24.00 62208.00

Pv1 = 4.5 x 27 x 1 121.5 53.5 6500.25

Pv2 = 1/2 x 4.5 x 45 x 1 101.25 54.25 5492.8125

222.75 Sum H2 = 2592.00 Sum M2 = 11993.0625 62208

Uplift pressure

U1 = 1/3 x 72 x 7 -168 52.25 8778

U2 = 1/2 x 2/3 x 72 x 7 -168 53.42 8974

U3 = 1/2 x 1/3 x 72 x 48.75 -585 32.5 19012.5

-921 Sum H3 = 0.00 Sum M3 = 0 36764.5

Tail water pressure

P'H = 1/2 x 6 x 6 x 1 1.67 30.00

P'V = 1/2 x 3.5 x 5 x 1 12.6 2.33 29.40

12.6 Sum H4 = 18.00 Sum M4 = 59.4 0

Silt pressure

PSH = 1/2 x 5 x 5 x 1.36 1.67 28.33

PSV = 1/2 x 0.9 x 5 x 1.925 4.33125 0.60 2.60

4.33125 Sum H5 = 17.00 Sum M5 = 0 30.93208333

Wave pressure

Lever Arm

from toe of

dam (m)

5 17.00

Sum V5 =

Moment @ toe of dam

RemarksHorizontal

Sum V1 =

Reservoir full

condition

2592.002

Sr. No. Item Description & Dimension

Forces (t/m)

Sum V2 =

Sum V3 =

4 18.00

Sum V4 =


28/92

PW = 20 x W^2

72.62 3912.09018

0 Sum H6 = 53.87 Sum M6 = 3912.09018 0

Sum 188610.9277 99003.43208

4192.93125 Sum H7 = 2680.87 Sum M7 =

Wave pressure calculation

Height of waveHw = 0.032 x (V x F)^(1/2)+0.76-0.26 x F^(1/4)

= 1.6412504 m




89607

4192.9313

= 21.40 m


b - x

2

= 1/2 x 55.75 - 21.4

= 6.475 m


Check :


yD = (V7/b) x (1+(6e/b))

= 127.62012 t/m2

(compressive)


yU = (V7/b) x (1-(6e/b))

= 22.798942 t/m2

(compressive)


ID = yD . Sec2

D

tan D = 0.7Sec

2D = 1.49

ID = 190.15397 t/m2


IU = yD . Sec2

U -p.tan2

U

tan U = 0.1

tan2

U = 0.01

Sec2

U = 1.01

no tension

89607

53.87

Sum V6 =

Sum V7 =

x =

=

e =


29/92

p = w.H

= 72.00 t/m2

ID = 22.306932 t/m2


(yx)D = yD . tan D

= 89.334081 t/m2


(yx)U = -(yU - p). tan U

= 4.9201058 t/m2


M7 (+ve)

M7 (-ve)

= 1.91



V7

H7

= 1.095


Shear friction factor

V7

+ bc

H7

= 4.0061755


Load combination

E Combination B + earthquake

Table 3:

Vertical VEAnticlockwise

(+ve) (t-m/m)

Clockwise

(-ve) (t-m/m)

F75= Horizontal 1978.964152

F75= Vertical 37.46 1484.223

Sum V1 = 37.46 Sum H1 = 49.9512 Sum M1 = 0.00 3463.187266


from toe of

dam (m)

Moment @ toe of dam

49.951175

Hydrodynamic Pressure 0.00 Sum H2= 265.709 Sum M2 = 0.00 7879.041

Horizontal HESr. No. Item Description & Dimension

1

Inertial force due to

earthquake

PE =2

The vertical

component of

the

hydrodynamic

pressure has not

Remarks

F.S. =

F1 =

F2 =

S M


30/92

3 Sum V3 = 37.46 Sum H3 = 315.660 Sum M3 = 0.00 11342.23

Sum V4 = 4192.93125 Sum H4 = 2680.87 Sum M4 = 188610.9277 99003.43

Sum V5 = 4230.39 Sum H5 = 2996.53 Sum M5 = 188610.93 110345.66

Sum M5 =

(a) Stability analysis by considering seismic forces

Hydrodynamic pressure caused by horizontal acceleration due to earthquake

4.5

72

= 0.0625

= 3.576 degree

Cm = 0.735(1-3.576/90)

C = 0.706 at base

The intensity of hydrodynamic pressure at the base

pe = C wH4

= 0.706 x 0.1 x 1 x 72

= 5.0832 t/m2

The horizontal componeent of the total hydrodynamic pressure acting per unit length of the dam

Pe = 0.726 pe H4 ..(Zanger's formula)

= 265.70903 t/m

The moment of Pe @ the toe of the damMe = 0.299 pe (H4)

2

= 0.299 x 5.0832 x square(72)

= 7879.0413 t-m/m



78265.27

4230.39

= 18.50 m


b - x

2

= 1/2 x 55.75 - 18.5

= 9.375 m


Check :


tension

e =

(Sum of forces and

moments from table 1)

Since the height of the vertical portion of the upstream face of the dam is less than half the total height of the dam, the slope of the U/S face of the

dam is given by

tan =

x =

=

78265

4

5

Combination B +

earthquake

(V /b) (1 (6 /b))


31/92

yD = (V5/b) x (1+(6e/b))

= 152.44359 t/m2

(compressive)


yU = (V5/b) x (1-(6e/b))

= -0.6805517 t/m2

(tensile)

Since the resultant does not fall within the middle third of the base and the value of thetensile stress is substantial the dam is unsafe under seismic loading


ID = yD . Sec2

D

ID = 227.14095 t/m2

(compressive)


IU = yU . Sec2

U -(p+pe).tan2

U

IU = -1.4633574 t/m2

(tensile)

Hence the dam section is unsafe


(yx)D = yD . tan D

= 106.71051 t/m2


(yx)U = -*yU - (p+pe)]. tan U

= 7.7763752 t/m2


M(+ve)

M(-ve)

= 1.71



V5

H5= 0.988

Check : Since F1


32/92

D

toe

RL6

H'P'H

H'/3

P'V

x'

wH'

wH'

b = 7.5 m Y1 = 12.5


33/92

b 7.5 m Y .5

c = 2.4 t/m3

x = 0.7

H= 75 m F12.5(37.5-12.5) = 156.2794 t

1/H = 0.013 m F37.5 = 6.251175+18.95933

h = 0.03 F37.5 25.21051 t

F12.5 6.251175 t M37.5 408.72 t-m

M12.5 40.23999 t-m

For the portion of the dam upto 10m below the top of the The moment of inertia force F10 about any point in the horizontal For the portion of the dam upto 50m belo

dam the inertia force per unit length of the dam is given by section at 10m below the top of the dam is given by dam the inertia force per unit length of the

12.5 12.5 37.5

F12.5 = (1x7.5x dy)2.4 x (1-0.013y)0.03 M12.5 = (1x7.5x dy)2.4 x (1-0.013y)0.03(12.5- y) F37.5 = F12.5 + [1 x 7.5 + 0.7(y

0 0 12.5

dy y Equation Derivaive Area dy y Equation Derivaive Area dy y Equation Derivaive

0.10 0.00 0.54 0.05 0.05 0.10 0.00 6.75 0.68 0.68 0.10 12.50 0.45

0.10 0.54 -0.01 0.05 0.11 0.10 6.69 -0.63 0.67 1.34 12.60 0.46 0.04

0.20 0.54 -0.01 0.05 0.16 0.20 6.62 -0.63 0.66 2.01 12.70 0.46 0.03

0.30 0.54 -0.01 0.05 0.22 0.30 6.56 -0.62 0.66 2.66 12.80 0.46 0.03

0.40 0.54 -0.01 0.05 0.27 0.40 6.50 -0.62 0.65 3.31 12.90 0.47 0.030.50 0.54 -0.01 0.05 0.32 0.50 6.44 -0.62 0.64 3.96 13.00 0.47 0.03

0.60 0.54 -0.01 0.05 0.38 0.60 6.38 -0.62 0.64 4.59 13.10 0.47 0.03

0.70 0.54 -0.01 0.05 0.43 0.70 6.31 -0.62 0.63 5.23 13.20 0.48 0.03

0.80 0.53 -0.01 0.05 0.48 0.80 6.25 -0.62 0.63 5.85 13.30 0.48 0.03

0.90 0.53 -0.01 0.05 0.54 0.90 6.19 -0.62 0.62 6.47 13.40 0.48 0.03

1.00 0.53 -0.01 0.05 0.59 1.00 6.13 -0.61 0.61 7.08 13.50 0.49 0.03

1.10 0.53 -0.01 0.05 0.64 1.10 6.07 -0.61 0.61 7.69 13.60 0.49 0.03

1.20 0.53 -0.01 0.05 0.70 1.20 6.01 -0.61 0.60 8.29 13.70 0.49 0.03

1.30 0.53 -0.01 0.05 0.75 1.30 5.95 -0.61 0.59 8.88 13.80 0.50 0.03

1.40 0.53 -0.01 0.05 0.80 1.40 5.88 -0.61 0.59 9.47 13.90 0.50 0.031.50 0.53 -0.01 0.05 0.86 1.50 5.82 -0.61 0.58 10.06 14.00 0.50 0.03

1.60 0.53 -0.01 0.05 0.91 1.60 5.76 -0.61 0.58 10.63 14.10 0.51 0.03

1.70 0.53 -0.01 0.05 0.96 1.70 5.70 -0.60 0.57 11.20 14.20 0.51 0.03

1.80 0.53 -0.01 0.05 1.01 1.80 5.64 -0.60 0.56 11.77 14.30 0.51 0.03

1.90 0.53 -0.01 0.05 1.07 1.90 5.58 -0.60 0.56 12.32 14.40 0.52 0.03

2.00 0.53 -0.01 0.05 1.12 2.00 5.52 -0.60 0.55 12.88 14.50 0.52 0.03

2.10 0.53 -0.01 0.05 1.17 2.10 5.46 -0.60 0.55 13.42 14.60 0.52 0.03

2.20 0.52 -0.01 0.05 1.22 2.20 5.40 -0.60 0.54 13.96 14.70 0.53 0.03

2.30 0.52 -0.01 0.05 1.28 2.30 5.34 -0.60 0.53 14.50 14.80 0.53 0.03

2.40 0.52 -0.01 0.05 1.33 2.40 5.28 -0.59 0.53 15.03 14.90 0.53 0.03

2.50 0.52 -0.01 0.05 1.38 2.50 5.22 -0.59 0.52 15.55 15.00 0.54 0.03

2.60 0.52 -0.01 0.05 1.43 2.60 5.17 -0.59 0.52 16.07 15.10 0.54 0.03

2.70 0.52 -0.01 0.05 1.49 2.70 5.11 -0.59 0.51 16.58 15.20 0.54 0.03

2.80 0.52 -0.01 0.05 1.54 2.80 5.05 -0.59 0.50 17.08 15.30 0.55 0.03

2.90 0.52 -0.01 0.05 1.59 2.90 4.99 -0.59 0.50 17.58 15.40 0.55 0.03

3.00 0.52 -0.01 0.05 1.64 3.00 4.93 -0.59 0.49 18.07 15.50 0.55 0.03

3.10 0.52 -0.01 0.05 1.69 3.10 4.87 -0.58 0.49 18.56 15.60 0.56 0.03

3.20 0.52 -0.01 0.05 1.74 3.20 4.81 -0.58 0.48 19.04 15.70 0.56 0.03

3.30 0.52 -0.01 0.05 1.80 3.30 4.75 -0.58 0.48 19.52 15.80 0.56 0.03

3.40 0.52 -0.01 0.05 1.85 3.40 4.70 -0.58 0.47 19.99 15.90 0.56 0.03


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3.50 0.52 -0.01 0.05 1.90 3.50 4.64 -0.58 0.46 20.45 16.00 0.57 0.03

3.60 0.51 -0.01 0.05 1.95 3.60 4.58 -0.58 0.46 20.91 16.10 0.57 0.03

3.70 0.51 -0.01 0.05 2.00 3.70 4.52 -0.58 0.45 21.36 16.20 0.57 0.03

3.80 0.51 -0.01 0.05 2.05 3.80 4.47 -0.58 0.45 21.81 16.30 0.58 0.03

3.90 0.51 -0.01 0.05 2.11 3.90 4.41 -0.57 0.44 22.25 16.40 0.58 0.03

4.00 0.51 -0.01 0.05 2.16 4.00 4.35 -0.57 0.44 22.68 16.50 0.58 0.03

4.10 0.51 -0.01 0.05 2.21 4.10 4.29 -0.57 0.43 23.11 16.60 0.59 0.034.20 0.51 -0.01 0.05 2.26 4.20 4.24 -0.57 0.42 23.54 16.70 0.59 0.03

4.30 0.51 -0.01 0.05 2.31 4.30 4.18 -0.57 0.42 23.95 16.80 0.59 0.03

4.40 0.51 -0.01 0.05 2.36 4.40 4.12 -0.57 0.41 24.37 16.90 0.59 0.03

4.50 0.51 -0.01 0.05 2.41 4.50 4.07 -0.57 0.41 24.77 17.00 0.60 0.03

4.60 0.51 -0.01 0.05 2.46 4.60 4.01 -0.56 0.40 25.17 17.10 0.60 0.03

4.70 0.51 -0.01 0.05 2.51 4.70 3.95 -0.56 0.40 25.57 17.20 0.60 0.03

4.80 0.51 -0.01 0.05 2.56 4.80 3.90 -0.56 0.39 25.96 17.30 0.61 0.03

4.90 0.51 -0.01 0.05 2.61 4.90 3.84 -0.56 0.38 26.34 17.40 0.61 0.03

5.00 0.50 -0.01 0.05 2.66 5.00 3.79 -0.56 0.38 26.72 17.50 0.61 0.03

5.10 0.50 -0.01 0.05 2.71 5.10 3.73 -0.56 0.37 27.10 17.60 0.61 0.03

5.20 0.50 -0.01 0.05 2.77 5.20 3.68 -0.56 0.37 27.46 17.70 0.62 0.03

5.30 0.50 -0.01 0.05 2.82 5.30 3.62 -0.55 0.36 27.83 17.80 0.62 0.03

5.40 0.50 -0.01 0.05 2.87 5.40 3.56 -0.55 0.36 28.18 17.90 0.62 0.03

5.50 0.50 -0.01 0.05 2.92 5.50 3.51 -0.55 0.35 28.53 18.00 0.63 0.03

5.60 0.50 -0.01 0.05 2.97 5.60 3.45 -0.55 0.35 28.88 18.10 0.63 0.03

5.70 0.50 -0.01 0.05 3.02 5.70 3.40 -0.55 0.34 29.22 18.20 0.63 0.03

5.80 0.50 -0.01 0.05 3.07 5.80 3.35 -0.55 0.33 29.55 18.30 0.63 0.03

5.90 0.50 -0.01 0.05 3.12 5.90 3.29 -0.55 0.33 29.88 18.40 0.64 0.03

6.00 0.50 -0.01 0.05 3.17 6.00 3.24 -0.54 0.32 30.21 18.50 0.64 0.03

6.10 0.50 -0.01 0.05 3.22 6.10 3.18 -0.54 0.32 30.52 18.60 0.64 0.03

6.20 0.50 -0.01 0.05 3.26 6.20 3.13 -0.54 0.31 30.84 18.70 0.65 0.036.30 0.50 -0.01 0.05 3.31 6.30 3.07 -0.54 0.31 31.14 18.80 0.65 0.03

6.40 0.50 -0.01 0.05 3.36 6.40 3.02 -0.54 0.30 31.45 18.90 0.65 0.03

6.50 0.49 -0.01 0.05 3.41 6.50 2.97 -0.54 0.30 31.74 19.00 0.65 0.03

6.60 0.49 -0.01 0.05 3.46 6.60 2.91 -0.54 0.29 32.03 19.10 0.66 0.03

6.70 0.49 -0.01 0.05 3.51 6.70 2.86 -0.53 0.29 32.32 19.20 0.66 0.03

6.80 0.49 -0.01 0.05 3.56 6.80 2.81 -0.53 0.28 32.60 19.30 0.66 0.03

6.90 0.49 -0.01 0.05 3.61 6.90 2.75 -0.53 0.28 32.88 19.40 0.66 0.03

7.00 0.49 -0.01 0.05 3.66 7.00 2.70 -0.53 0.27 33.15 19.50 0.67 0.03

7.10 0.49 -0.01 0.05 3.71 7.10 2.65 -0.53 0.26 33.41 19.60 0.67 0.03

7.20 0.49 -0.01 0.05 3.76 7.20 2.59 -0.53 0.26 33.67 19.70 0.67 0.037.30 0.49 -0.01 0.05 3.81 7.30 2.54 -0.53 0.25 33.92 19.80 0.67 0.03

7.40 0.49 -0.01 0.05 3.86 7.40 2.49 -0.52 0.25 34.17 19.90 0.68 0.03

7.50 0.49 -0.01 0.05 3.90 7.50 2.44 -0.52 0.24 34.42 20.00 0.68 0.03

7.60 0.49 -0.01 0.05 3.95 7.60 2.38 -0.52 0.24 34.65 20.10 0.68 0.03

7.70 0.49 -0.01 0.05 4.00 7.70 2.33 -0.52 0.23 34.89 20.20 0.68 0.03

7.80 0.49 -0.01 0.05 4.05 7.80 2.28 -0.52 0.23 35.12 20.30 0.69 0.03

7.90 0.48 -0.01 0.05 4.10 7.90 2.23 -0.52 0.22 35.34 20.40 0.69 0.02

8.00 0.48 -0.01 0.05 4.15 8.00 2.18 -0.52 0.22 35.56 20.50 0.69 0.02

8.10 0.48 -0.01 0.05 4.19 8.10 2.13 -0.51 0.21 35.77 20.60 0.69 0.02

8.20 0.48 -0.01 0.05 4.24 8.20 2.07 -0.51 0.21 35.98 20.70 0.70 0.02


35/92

8.30 0.48 -0.01 0.05 4.29 8.30 2.02 -0.51 0.20 36.18 20.80 0.70 0.02

8.40 0.48 -0.01 0.05 4.34 8.40 1.97 -0.51 0.20 36.38 20.90 0.70 0.02

8.50 0.48 -0.01 0.05 4.39 8.50 1.92 -0.51 0.19 36.57 21.00 0.70 0.02

8.60 0.48 -0.01 0.05 4.44 8.60 1.87 -0.51 0.19 36.76 21.10 0.71 0.02

8.70 0.48 -0.01 0.05 4.48 8.70 1.82 -0.51 0.18 36.94 21.20 0.71 0.02

8.80 0.48 -0.01 0.05 4.53 8.80 1.77 -0.50 0.18 37.11 21.30 0.71 0.02

8.90 0.48 -0.01 0.05 4.58 8.90 1.72 -0.50 0.17 37.29 21.40 0.71 0.029.00 0.48 -0.01 0.05 4.63 9.00 1.67 -0.50 0.17 37.45 21.50 0.72 0.02

9.10 0.48 -0.01 0.05 4.67 9.10 1.62 -0.50 0.16 37.61 21.60 0.72 0.02

9.20 0.48 -0.01 0.05 4.72 9.20 1.57 -0.50 0.16 37.77 21.70 0.72 0.02

9.30 0.47 -0.01 0.05 4.77 9.30 1.52 -0.50 0.15 37.92 21.80 0.72 0.02

9.40 0.47 -0.01 0.05 4.82 9.40 1.47 -0.50 0.15 38.07 21.90 0.73 0.02

9.50 0.47 -0.01 0.05 4.86 9.50 1.42 -0.50 0.14 38.21 22.00 0.73 0.02

9.60 0.47 -0.01 0.05 4.91 9.60 1.37 -0.49 0.14 38.35 22.10 0.73 0.02

9.70 0.47 -0.01 0.05 4.96 9.70 1.32 -0.49 0.13 38.48 22.20 0.73 0.02

9.80 0.47 -0.01 0.05 5.01 9.80 1.27 -0.49 0.13 38.61 22.30 0.73 0.02

9.90 0.47 -0.01 0.05 5.05 9.90 1.22 -0.49 0.12 38.73 22.40 0.74 0.02

10.00 0.47 -0.01 0.05 5.10 10.00 1.17 -0.49 0.12 38.85 22.50 0.74 0.02

10.10 0.47 -0.01 0.05 5.15 10.10 1.13 -0.49 0.11 38.96 22.60 0.74 0.02

10.20 0.47 -0.01 0.05 5.19 10.20 1.08 -0.49 0.11 39.07 22.70 0.74 0.02

10.30 0.47 -0.01 0.05 5.24 10.30 1.03 -0.48 0.10 39.17 22.80 0.75 0.02

10.40 0.47 -0.01 0.05 5.29 10.40 0.98 -0.48 0.10 39.27 22.90 0.75 0.02

10.50 0.47 -0.01 0.05 5.33 10.50 0.93 -0.48 0.09 39.36 23.00 0.75 0.02

10.60 0.47 -0.01 0.05 5.38 10.60 0.88 -0.48 0.09 39.45 23.10 0.75 0.02

10.70 0.46 -0.01 0.05 5.43 10.70 0.84 -0.48 0.08 39.54 23.20 0.75 0.02

10.80 0.46 -0.01 0.05 5.47 10.80 0.79 -0.48 0.08 39.61 23.30 0.76 0.02

10.90 0.46 -0.01 0.05 5.52 10.90 0.74 -0.48 0.07 39.69 23.40 0.76 0.02

11.00 0.46 -0.01 0.05 5.57 11.00 0.69 -0.47 0.07 39.76 23.50 0.76 0.0211.10 0.46 -0.01 0.05 5.61 11.10 0.65 -0.47 0.06 39.82 23.60 0.76 0.02

11.20 0.46 -0.01 0.05 5.66 11.20 0.60 -0.47 0.06 39.88 23.70 0.76 0.02

11.30 0.46 -0.01 0.05 5.70 11.30 0.55 -0.47 0.06 39.94 23.80 0.77 0.02

11.40 0.46 -0.01 0.05 5.75 11.40 0.51 -0.47 0.05 39.99 23.90 0.77 0.02

11.50 0.46 -0.01 0.05 5.80 11.50 0.46 -0.47 0.05 40.03 24.00 0.77 0.02

11.60 0.46 -0.01 0.05 5.84 11.60 0.41 -0.47 0.04 40.08 24.10 0.77 0.02

11.70 0.46 -0.01 0.05 5.89 11.70 0.37 -0.46 0.04 40.11 24.20 0.77 0.02

11.80 0.46 -0.01 0.05 5.93 11.80 0.32 -0.46 0.03 40.14 24.30 0.78 0.02

11.90 0.46 -0.01 0.05 5.98 11.90 0.27 -0.46 0.03 40.17 24.40 0.78 0.02

12.00 0.46 -0.01 0.05 6.02 12.00 0.23 -0.46 0.02 40.19 24.50 0.78 0.0212.10 0.46 -0.01 0.05 6.07 12.10 0.18 -0.46 0.02 40.21 24.60 0.78 0.02

12.20 0.45 -0.01 0.05 6.12 12.20 0.14 -0.46 0.01 40.23 24.70 0.78 0.02

12.30 0.45 -0.01 0.05 6.16 12.30 0.09 -0.46 0.01 40.24 24.80 0.79 0.02

12.40 0.45 -0.01 0.05 6.21 12.40 0.05 -0.45 0.00 40.24 24.90 0.79 0.02

12.50 0.45 -0.01 0.05 6.25 12.50 0.00 -0.45 0.00 40.24 25.00 0.79 0.02

25.10 0.79 0.02

25.20 0.79 0.02

25.30 0.80 0.02

25.40 0.80 0.02

25.50 0.80 0.02


36/92

25.60 0.80 0.02

25.70 0.80 0.02

25.80 0.80 0.02

25.90 0.81 0.02

26.00 0.81 0.02

26.10 0.81 0.02

26.20 0.81 0.0226.30 0.81 0.02

26.40 0.81 0.02

26.50 0.82 0.02

26.60 0.82 0.02

26.70 0.82 0.02

26.80 0.82 0.02

26.90 0.82 0.02

27.00 0.82 0.02

27.10 0.83 0.02

27.20 0.83 0.02

27.30 0.83 0.02

27.40 0.83 0.02

27.50 0.83 0.02

27.60 0.83 0.02

27.70 0.84 0.02

27.80 0.84 0.02

27.90 0.84 0.02

28.00 0.84 0.01

28.10 0.84 0.01

28.20 0.84 0.01

28.30 0.84 0.0128.40 0.85 0.01

28.50 0.85 0.01

28.60 0.85 0.01

28.70 0.85 0.01

28.80 0.85 0.01

28.90 0.85 0.01

29.00 0.85 0.01

29.10 0.86 0.01

29.20 0.86 0.01

29.30 0.86 0.0129.40 0.86 0.01

29.50 0.86 0.01

29.60 0.86 0.01

29.70 0.86 0.01

29.80 0.86 0.01

29.90 0.87 0.01

30.00 0.87 0.01

30.10 0.87 0.01

30.20 0.87 0.01

30.30 0.87 0.01

30 40 0 87 0 01


37/92

30.40 0.87 0.01

30.50 0.87 0.01

30.60 0.87 0.01

30.70 0.88 0.01

30.80 0.88 0.01

30.90 0.88 0.01

31.00 0.88 0.0131.10 0.88 0.01

31.20 0.88 0.01

31.30 0.88 0.01

31.40 0.88 0.01

31.50 0.88 0.01

31.60 0.89 0.01

31.70 0.89 0.01

31.80 0.89 0.01

31.90 0.89 0.01

32.00 0.89 0.01

32.10 0.89 0.01

32.20 0.89 0.01

32.30 0.89 0.01

32.40 0.89 0.01

32.50 0.89 0.01

32.60 0.89 0.01

32.70 0.90 0.01

32.80 0.90 0.01

32.90 0.90 0.01

33.00 0.90 0.01

33.10 0.90 0.0133.20 0.90 0.01

33.30 0.90 0.01

33.40 0.90 0.01

33.50 0.90 0.01

33.60 0.90 0.01

33.70 0.90 0.01

33.80 0.90 0.01

33.90 0.91 0.01

34.00 0.91 0.01

34.10 0.91 0.01

34.20 0.91 0.01

34.30 0.91 0.01

34.40 0.91 0.01

34.50 0.91 0.01

34.60 0.91 0.01

34.70 0.91 0.01

34.80 0.91 0.01

34.90 0.91 0.01

35.00 0.91 0.01

35.10 0.91 0.01

35 20 0 91 0 01


38/92

35.20 0.91 0.01

35.30 0.91 0.01

35.40 0.91 0.01

35.50 0.92 0.01

35.60 0.92 0.00

35.70 0.92 0.00

35.80 0.92 0.0035.90 0.92 0.00

36.00 0.92 0.00

36.10 0.92 0.00

36.20 0.92 0.00

36.30 0.92 0.00

36.40 0.92 0.00

36.50 0.92 0.00

36.60 0.92 0.00

36.70 0.92 0.00

36.80 0.92 0.00

36.90 0.92 0.00

37.00 0.92 0.00

37.10 0.92 0.00

37.20 0.92 0.00

37.30 0.92 0.00

37.40 0.92 0.00

37.50 0.92 0.00

37.60 0.92 0.00

37.70 0.92 0.00

37.80 0.92 0.00

37.90 0.92 0.0038.00 0.92 0.00

38.10 0.92 0.00

38.20 0.92 0.00

38.30 0.92 0.00

38.40 0.92 0.00

38.50 0.92 0.00

38.60 0.92 0.00

38.70 0.92 0.00

38.80 0.92 0.00

38.90 0.92 0.00

39.00 0.92 0.00

39.10 0.92 0.00

39.20 0.92 0.00

39.30 0.92 0.00

39.40 0.92 0.00

39.50 0.92 0.00

39.60 0.92 0.00

39.70 0.92 0.00

39.80 0.92 0.00

39.90 0.92 0.00

40 00 0 92 0 00


39/92

40.00 0.92 0.00

40.10 0.92 0.00

40.20 0.92 0.00

40.30 0.92 0.00

40.40 0.92 0.00

40.50 0.92 0.00

40.60 0.92 0.0040.70 0.92 0.00

40.80 0.92 0.00

40.90 0.92 0.00

41.00 0.92 0.00

41.10 0.92 0.00

41.20 0.92 0.00

41.30 0.92 0.00

41.40 0.92 0.00

41.50 0.92 0.00

41.60 0.92 0.00

41.70 0.92 0.00

41.80 0.92 0.00

41.90 0.92 0.00

42.00 0.92 0.00

42.10 0.92 0.00

42.20 0.92 0.00

42.30 0.92 0.00

42.40 0.92 0.00

42.50 0.92 0.00

42.60 0.92 0.00

42.70 0.92 0.0042.80 0.92 0.00

42.90 0.92 0.00

43.00 0.92 0.00

43.10 0.92 0.00

43.20 0.92 0.00

43.30 0.91 -0.01

43.40 0.91 -0.01

43.50 0.91 -0.01

43.60 0.91 -0.01

43.70 0.91 -0.01

43.80 0.91 -0.01

43.90 0.91 -0.01

44.00 0.91 -0.01

44.10 0.91 -0.01

44.20 0.91 -0.01

44.30 0.91 -0.01

44.40 0.91 -0.01

44.50 0.91 -0.01

44.60 0.91 -0.01

44.70 0.91 -0.01

44.80 0.91 -0.01


40/92

44.80 0.91 0.01

44.90 0.90 -0.01

45.00 0.90 -0.01

45.10 0.90 -0.01

45.20 0.90 -0.01

45.30 0.90 -0.01

45.40 0.90 -0.0145.50 0.90 -0.01

45.60 0.90 -0.01

45.70 0.90 -0.01

45.80 0.90 -0.01

45.90 0.90 -0.01

46.00 0.90 -0.01

46.10 0.89 -0.01

46.20 0.89 -0.01

46.30 0.89 -0.01

46.40 0.89 -0.01

46.50 0.89 -0.01

46.60 0.89 -0.01

46.70 0.89 -0.01

46.80 0.89 -0.01

46.90 0.89 -0.01

47.00 0.89 -0.01

47.10 0.89 -0.01

47.20 0.88 -0.01

47.30 0.88 -0.01

47.40 0.88 -0.01

47.50 0.88 -0.0147.60 0.88 -0.01

47.70 0.88 -0.01

47.80 0.88 -0.01

47.90 0.88 -0.01

48.00 0.88 -0.01

48.10 0.87 -0.01

48.20 0.87 -0.01

48.30 0.87 -0.01

48.40 0.87 -0.01

48.50 0.87 -0.01

48.60 0.87 -0.01

48.70 0.87 -0.01

48.80 0.87 -0.01

48.90 0.87 -0.01

49.00 0.86 -0.01

49.10 0.86 -0.01

49.20 0.86 -0.01

49.30 0.86 -0.01

49.40 0.86 -0.01

49.50 0.86 -0.01

49.60 0.86 -0.01


41/92

49.70 0.85 -0.01

49.80 0.85 -0.01

49.90 0.85 -0.01

50.00 0.85 -0.01

50.10 0.85 -0.01

50.20 0.85 -0.0150.30 0.85 -0.01

50.40 0.84 -0.01

50.50 0.84 -0.01

50.60 0.84 -0.01

50.70 0.84 -0.01

50.80 0.84 -0.01

50.90 0.84 -0.02

51.00 0.84 -0.02

51.10 0.83 -0.02

51.20 0.83 -0.02

51.30 0.83 -0.02

51.40 0.83 -0.02

51.50 0.83 -0.02

51.60 0.83 -0.02

51.70 0.82 -0.02

51.80 0.82 -0.02

51.90 0.82 -0.02

52.00 0.82 -0.02

52.10 0.82 -0.02

52.20 0.82 -0.02

52.30 0.81 -0.0252.40 0.81 -0.02

52.50 0.81 -0.02


42/92


43/92


44/92


45/92


46/92


47/92


48/92


49/92


50/92


51/92


52/92

Y1 = 12.5

x = 0.7

F12.5(75-12.5) = 390.6984 t

2 F75 6 251175 43 7


53/92

2 F75 = 6.251175+43.7

F75 49.95118 t

M75 1978.964 t-m

the top of the The moment of inertia force F50 about any point in the horizontal For the portion of the dam upto 50m below the top odam is given by section at 50m below the top of the dam is given by dam the inertia force per unit length of the dam is giv

37.5 75

-12.5)] dy x2.4 x (1-0.013y)0.03 M37.5 = M12.5 +F12.5(37.5-12.5) + [1 x 7.5 + 0.7(y-12.5)] dy x2.4 x (1-0.013y)0.03(37.5 - y) F75 = F12.5 + [1 x 7.5 + 0.7(y-12.5)] dy

12.5 12.5

Area dy y Equation Derivaive Area dy y Equation Derivaive Area

0.05 0.05 0.10 12.50 11.31 1.13 1.13 0.10 12.50 0.45 0.05

0.05 0.09 12.60 11.35 0.42 1.13 2.27 12.60 0.46 0.04 0.05

0.05 0.14 12.70 11.39 0.41 1.14 3.40 12.70 0.46 0.03 0.05

0.05 0.18 12.80 11.43 0.40 1.14 4.55 12.80 0.46 0.03 0.05

0.05 0.23 12.90 11.47 0.39 1.15 5.69 12.90 0.47 0.03 0.05

0.05 0.28 13.00 11.51 0.38 1.15 6.85 13.00 0.47 0.03 0.05

0.05 0.32 13.10 11.54 0.37 1.15 8.00 13.10 0.47 0.03 0.05

0.05 0.37 13.20 11.58 0.36 1.16 9.16 13.20 0.48 0.03 0.05

0.05 0.42 13.30 11.62 0.35 1.16 10.32 13.30 0.48 0.03 0.05

0.05 0.47 13.40 11.65 0.34 1.16 11.48 13.40 0.48 0.03 0.05

0.05 0.52 13.50 11.68 0.33 1.17 12.65 13.50 0.49 0.03 0.05

0.05 0.57 13.60 11.71 0.32 1.17 13.82 13.60 0.49 0.03 0.05

0.05 0.61 13.70 11.75 0.31 1.17 15.00 13.70 0.49 0.03 0.05

0.05 0.66 13.80 11.78 0.30 1.18 16.18 13.80 0.50 0.03 0.05

0.05 0.71 13.90 11.81 0.29 1.18 17.36 13.90 0.50 0.03 0.05

0.05 0.77 14.00 11.83 0.28 1.18 18.54 14.00 0.50 0.03 0.050.05 0.82 14.10 11.86 0.27 1.19 19.73 14.10 0.51 0.03 0.05

0.05 0.87 14.20 11.89 0.26 1.19 20.91 14.20 0.51 0.03 0.05

0.05 0.92 14.30 11.91 0.25 1.19 22.11 14.30 0.51 0.03 0.05

0.05 0.97 14.40 11.94 0.24 1.19 23.30 14.40 0.52 0.03 0.05

0.05 1.02 14.50 11.96 0.23 1.20 24.50 14.50 0.52 0.03 0.05

0.05 1.07 14.60 11.98 0.22 1.20 25.69 14.60 0.52 0.03 0.05

0.05 1.13 14.70 12.00 0.21 1.20 26.89 14.70 0.53 0.03 0.05

0.05 1.18 14.80 12.02 0.21 1.20 28.10 14.80 0.53 0.03 0.05

0.05 1.23 14.90 12.04 0.20 1.20 29.30 14.90 0.53 0.03 0.05

0.05 1.29 15.00 12.06 0.19 1.21 30.51 15.00 0.54 0.03 0.050.05 1.34 15.10 12.08 0.18 1.21 31.72 15.10 0.54 0.03 0.05

0.05 1.39 15.20 12.10 0.17 1.21 32.93 15.20 0.54 0.03 0.05

0.05 1.45 15.30 12.11 0.16 1.21 34.14 15.30 0.55 0.03 0.05

0.05 1.50 15.40 12.13 0.15 1.21 35.35 15.40 0.55 0.03 0.05

0.06 1.56 15.50 12.14 0.14 1.21 36.56 15.50 0.55 0.03 0.06

0.06 1.61 15.60 12.16 0.13 1.22 37.78 15.60 0.56 0.03 0.06

0.06 1.67 15.70 12.17 0.12 1.22 39.00 15.70 0.56 0.03 0.06

0.06 1.73 15.80 12.18 0.11 1.22 40.21 15.80 0.56 0.03 0.06

0.06 1.78 15.90 12.19 0.10 1.22 41.43 15.90 0.56 0.03 0.06

0.06 1.84 16.00 12.20 0.10 1.22 42.65 16.00 0.57 0.03 0.06

0.06 1.90 16.10 12.21 0.09 1.22 43.87 16.10 0.57 0.03 0.06

0.06 1.95 16.20 12.22 0.08 1.22 45.10 16.20 0.57 0.03 0.06


54/92

0.06 1.95 16.20 12.22 0.08 1.22 45.10 16.20 0.57 0.03 0.06

0.06 2.01 16.30 12.22 0.07 1.22 46.32 16.30 0.58 0.03 0.06

0.06 2.07 16.40 12.23 0.06 1.22 47.54 16.40 0.58 0.03 0.06

0.06 2.13 16.50 12.23 0.05 1.22 48.76 16.50 0.58 0.03 0.06

0.06 2.19 16.60 12.24 0.04 1.22 49.99 16.60 0.59 0.03 0.06

0.06 2.25 16.70 12.24 0.03 1.22 51.21 16.70 0.59 0.03 0.06

0.06 2.30 16.80 12.24 0.02 1.22 52.44 16.80 0.59 0.03 0.06

0.06 2.36 16.90 12.24 0.02 1.22 53.66 16.90 0.59 0.03 0.06

0.06 2.42 17.00 12.25 0.01 1.22 54.88 17.00 0.60 0.03 0.06

0.06 2.48 17.10 12.25 0.00 1.22 56.11 17.10 0.60 0.03 0.06

0.06 2.54 17.20 12.24 -0.01 1.22 57.33 17.20 0.60 0.03 0.06

0.06 2.60 17.30 12.24 -0.02 1.22 58.56 17.30 0.61 0.03 0.06

0.06 2.67 17.40 12.24 -0.03 1.22 59.78 17.40 0.61 0.03 0.06

0.06 2.73 17.50 12.24 -0.03 1.22 61.01 17.50 0.61 0.03 0.06

0.06 2.79 17.60 12.23 -0.04 1.22 62.23 17.60 0.61 0.03 0.06

0.06 2.85 17.70 12.23 -0.05 1.22 63.45 17.70 0.62 0.03 0.060.06 2.91 17.80 12.22 -0.06 1.22 64.67 17.80 0.62 0.03 0.06

0.06 2.97 17.90 12.21 -0.07 1.22 65.89 17.90 0.62 0.03 0.06

0.06 3.04 18.00 12.21 -0.08 1.22 67.12 18.00 0.63 0.03 0.06

0.06 3.10 18.10 12.20 -0.08 1.22 68.34 18.10 0.63 0.03 0.06

0.06 3.16 18.20 12.19 -0.09 1.22 69.55 18.20 0.63 0.03 0.06

0.06 3.23 18.30 12.18 -0.10 1.22 70.77 18.30 0.63 0.03 0.06

0.06 3.29 18.40 12.17 -0.11 1.22 71.99 18.40 0.64 0.03 0.06

0.06 3.35 18.50 12.16 -0.12 1.22 73.20 18.50 0.64 0.03 0.06

0.06 3.42 18.60 12.14 -0.12 1.21 74.42 18.60 0.64 0.03 0.06

0.06 3.48 18.70 12.13 -0.13 1.21 75.63 18.70 0.65 0.03 0.06

0.06 3.55 18.80 12.12 -0.14 1.21 76.84 18.80 0.65 0.03 0.06

0.07 3.61 18.90 12.10 -0.15 1.21 78.05 18.90 0.65 0.03 0.07

0.07 3.68 19.00 12.09 -0.16 1.21 79.26 19.00 0.65 0.03 0.07

0.07 3.74 19.10 12.07 -0.16 1.21 80.47 19.10 0.66 0.03 0.07

0.07 3.81 19.20 12.05 -0.17 1.21 81.67 19.20 0.66 0.03 0.07

0.07 3.88 19.30 12.03 -0.18 1.20 82.88 19.30 0.66 0.03 0.07

0.07 3.94 19.40 12.02 -0.19 1.20 84.08 19.40 0.66 0.03 0.07

0.07 4.01 19.50 12.00 -0.19 1.20 85.28 19.50 0.67 0.03 0.07

0.07 4.08 19.60 11.98 -0.20 1.20 86.48 19.60 0.67 0.03 0.07

0.07 4.14 19.70 11.96 -0.21 1.20 87.67 19.70 0.67 0.03 0.07

0.07 4.21 19.80 11.93 -0.22 1.19 88.87 19.80 0.67 0.03 0.070.07 4.28 19.90 11.91 -0.22 1.19 90.06 19.90 0.68 0.03 0.07

0.07 4.35 20.00 11.89 -0.23 1.19 91.25 20.00 0.68 0.03 0.07

0.07 4.41 20.10 11.86 -0.24 1.19 92.43 20.10 0.68 0.03 0.07

0.07 4.48 20.20 11.84 -0.25 1.18 93.62 20.20 0.68 0.03 0.07

0.07 4.55 20.30 11.81 -0.25 1.18 94.80 20.30 0.69 0.03 0.07

0.07 4.62 20.40 11.79 -0.26 1.18 95.98 20.40 0.69 0.02 0.07

0.07 4.69 20.50 11.76 -0.27 1.18 97.15 20.50 0.69 0.02 0.07

0.07 4.76 20.60 11.73 -0.28 1.17 98.33 20.60 0.69 0.02 0.07

0.07 4.83 20.70 11.71 -0.28 1.17 99.50 20.70 0.70 0.02 0.07

0.07 4.90 20.80 11.68 -0.29 1.17 100.66 20.80 0.70 0.02 0.07

0.07 4.97 20.90 11.65 -0.30 1.16 101.83 20.90 0.70 0.02 0.07

0.07 5.04 21.00 11.62 -0.30 1.16 102.99 21.00 0.70 0.02 0.07


55/92

0.07 5.11 21.10 11.59 -0.31 1.16 104.15 21.10 0.71 0.02 0.07

0.07 5.18 21.20 11.55 -0.32 1.16 105.30 21.20 0.71 0.02 0.07

0.07 5.25 21.30 11.52 -0.32 1.15 106.46 21.30 0.71 0.02 0.07

0.07 5.32 21.40 11.49 -0.33 1.15 107.61 21.40 0.71 0.02 0.07

0.07 5.39 21.50 11.45 -0.34 1.15 108.75 21.50 0.72 0.02 0.07

0.07 5.47 21.60 11.42 -0.34 1.14 109.89 21.60 0.72 0.02 0.07

0.07 5.54 21.70 11.38 -0.35 1.14 111.03 21.70 0.72 0.02 0.07

0.07 5.61 21.80 11.35 -0.36 1.13 112.17 21.80 0.72 0.02 0.07

0.07 5.68 21.90 11.31 -0.37 1.13 113.30 21.90 0.73 0.02 0.07

0.07 5.76 22.00 11.28 -0.37 1.13 114.42 22.00 0.73 0.02 0.07

0.07 5.83 22.10 11.24 -0.38 1.12 115.55 22.10 0.73 0.02 0.07

0.07 5.90 22.20 11.20 -0.38 1.12 116.67 22.20 0.73 0.02 0.07

0.07 5.98 22.30 11.16 -0.39 1.12 117.78 22.30 0.73 0.02 0.07

0.07 6.05 22.40 11.12 -0.40 1.11 118.90 22.40 0.74 0.02 0.07

0.07 6.12 22.50 11.08 -0.40 1.11 120.00 22.50 0.74 0.02 0.070.07 6.20 22.60 11.04 -0.41 1.10 121.11 22.60 0.74 0.02 0.07

0.07 6.27 22.70 11.00 -0.42 1.10 122.21 22.70 0.74 0.02 0.07

0.07 6.35 22.80 10.95 -0.42 1.10 123.30 22.80 0.75 0.02 0.07

0.07 6.42 22.90 10.91 -0.43 1.09 124.39 22.90 0.75 0.02 0.07

0.07 6.50 23.00 10.87 -0.44 1.09 125.48 23.00 0.75 0.02 0.07

0.08 6.57 23.10 10.82 -0.44 1.08 126.56 23.10 0.75 0.02 0.08

0.08 6.65 23.20 10.78 -0.45 1.08 127.64 23.20 0.75 0.02 0.08

0.08 6.72 23.30 10.73 -0.45 1.07 128.71 23.30 0.76 0.02 0.08

0.08 6.80 23.40 10.69 -0.46 1.07 129.78 23.40 0.76 0.02 0.08

0.08 6.87 23.50 10.64 -0.47 1.06 130.85 23.50 0.76 0.02 0.08

0.08 6.95 23.60 10.59 -0.47 1.06 131.91 23.60 0.76 0.02 0.08

0.08 7.03 23.70 10.55 -0.48 1.05 132.96 23.70 0.76 0.02 0.08

0.08 7.10 23.80 10.50 -0.48 1.05 134.01 23.80 0.77 0.02 0.08

0.08 7.18 23.90 10.45 -0.49 1.04 135.06 23.90 0.77 0.02 0.08

0.08 7.26 24.00 10.40 -0.50 1.04 136.10 24.00 0.77 0.02 0.08

0.08 7.33 24.10 10.35 -0.50 1.03 137.13 24.10 0.77 0.02 0.08

0.08 7.41 24.20 10.30 -0.51 1.03 138.16 24.20 0.77 0.02 0.08

0.08 7.49 24.30 10.25 -0.51 1.02 139.19 24.30 0.78 0.02 0.08

0.08 7.57 24.40 10.19 -0.52 1.02 140.20 24.40 0.78 0.02 0.08

0.08 7.64 24.50 10.14 -0.52 1.01 141.22 24.50 0.78 0.02 0.08

0.08 7.72 24.60 10.09 -0.53 1.01 142.23 24.60 0.78 0.02 0.080.08 7.80 24.70 10.04 -0.54 1.00 143.23 24.70 0.78 0.02 0.08

0.08 7.88 24.80 9.98 -0.54 1.00 144.23 24.80 0.79 0.02 0.08

0.08 7.96 24.90 9.93 -0.55 0.99 145.22 24.90 0.79 0.02 0.08

0.08 8.04 25.00 9.87 -0.55 0.99 146.21 25.00 0.79 0.02 0.08

0.08 8.12 25.10 9.82 -0.56 0.98 147.19 25.10 0.79 0.02 0.08

0.08 8.20 25.20 9.76 -0.56 0.98 148.17 25.20 0.79 0.02 0.08

0.08 8.28 25.30 9.70 -0.57 0.97 149.14 25.30 0.80 0.02 0.08

0.08 8.36 25.40 9.65 -0.57 0.96 150.10 25.40 0.80 0.02 0.08

0.08 8.44 25.50 9.59 -0.58 0.96 151.06 25.50 0.80 0.02 0.08

0.08 8.52 25.60 9.53 -0.58 0.95 152.01 25.60 0.80 0.02 0.08

0.08 8.60 25.70 9.47 -0.59 0.95 152.96 25.70 0.80 0.02 0.08

0.08 8.68 25.80 9.41 -0.59 0.94 153.90 25.80 0.80 0.02 0.08


56/92

0.08 8.76 25.90 9.35 -0.60 0.94 154.84 25.90 0.81 0.02 0.08

0.08 8.84 26.00 9.29 -0.60 0.93 155.77 26.00 0.81 0.02 0.08

0.08 8.92 26.10 9.23 -0.61 0.92 156.69 26.10 0.81 0.02 0.08

0.08 9.00 26.20 9.17 -0.61 0.92 157.61 26.20 0.81 0.02 0.08

0.08 9.08 26.30 9.11 -0.62 0.91 158.52 26.30 0.81 0.02 0.08

0.08 9.16 26.40 9.04 -0.62 0.90 159.42 26.40 0.81 0.02 0.08

0.08 9.24 26.50 8.98 -0.63 0.90 160.32 26.50 0.82 0.02 0.08

0.08 9.33 26.60 8.92 -0.63 0.89 161.21 26.60 0.82 0.02 0.08

0.08 9.41 26.70 8.85 -0.64 0.89 162.10 26.70 0.82 0.02 0.08

0.08 9.49 26.80 8.79 -0.64 0.88 162.98 26.80 0.82 0.02 0.08

0.08 9.57 26.90 8.73 -0.65 0.87 163.85 26.90 0.82 0.02 0.08

0.08 9.65 27.00 8.66 -0.65 0.87 164.71 27.00 0.82 0.02 0.08

0.08 9.74 27.10 8.59 -0.66 0.86 165.57 27.10 0.83 0.02 0.08

0.08 9.82 27.20 8.53 -0.66 0.85 166.43 27.20 0.83 0.02 0.08

0.08 9.90 27.30 8.46 -0.67 0.85 167.27 27.30 0.83 0.02 0.080.08 9.99 27.40 8.39 -0.67 0.84 168.11 27.40 0.83 0.02 0.08

0.08 10.07 27.50 8.33 -0.68 0.83 168.94 27.50 0.83 0.02 0.08

0.08 10.15 27.60 8.26 -0.68 0.83 169.77 27.60 0.83 0.02 0.08

0.08 10.24 27.70 8.19 -0.68 0.82 170.59 27.70 0.84 0.02 0.08

0.08 10.32 27.80 8.12 -0.69 0.81 171.40 27.80 0.84 0.02 0.08

0.08 10.40 27.90 8.05 -0.69 0.81 172.21 27.90 0.84 0.02 0.08

0.08 10.49 28.00 7.98 -0.70 0.80 173.00 28.00 0.84 0.01 0.08

0.08 10.57 28.10 7.91 -0.70 0.79 173.80 28.10 0.84 0.01 0.08

0.08 10.66 28.20 7.84 -0.71 0.78 174.58 28.20 0.84 0.01 0.08

0.08 10.74 28.30 7.77 -0.71 0.78 175.36 28.30 0.84 0.01 0.08

0.08 10.83 28.40 7.70 -0.71 0.77 176.13 28.40 0.85 0.01 0.08

0.08 10.91 28.50 7.63 -0.72 0.76 176.89 28.50 0.85 0.01 0.08

0.08 11.00 28.60 7.56 -0.72 0.76 177.65 28.60 0.85 0.01 0.08

0.09 11.08 28.70 7.48 -0.73 0.75 178.39 28.70 0.85 0.01 0.09

0.09 11.17 28.80 7.41 -0.73 0.74 179.14 28.80 0.85 0.01 0.09

0.09 11.25 28.90 7.34 -0.73 0.73 179.87 28.90 0.85 0.01 0.09

0.09 11.34 29.00 7.26 -0.74 0.73 180.60 29.00 0.85 0.01 0.09

0.09 11.42 29.10 7.19 -0.74 0.72 181.31 29.10 0.86 0.01 0.09

0.09 11.51 29.20 7.11 -0.74 0.71 182.03 29.20 0.86 0.01 0.09

0.09 11.59 29.30 7.04 -0.75 0.70 182.73 29.30 0.86 0.01 0.09

0.09 11.68 29.40 6.96 -0.75 0.70 183.43 29.40 0.86 0.01 0.090.09 11.77 29.50 6.89 -0.76 0.69 184.12 29.50 0.86 0.01 0.09

0.09 11.85 29.60 6.81 -0.76 0.68 184.80 29.60 0.86 0.01 0.09

0.09 11.94 29.70 6.74 -0.76 0.67 185.47 29.70 0.86 0.01 0.09

0.09 12.02 29.80 6.66 -0.77 0.67 186.14 29.80 0.86 0.01 0.09

0.09 12.11 29.90 6.58 -0.77 0.66 186.79 29.90 0.87 0.01 0.09

0.09 12.20 30.00 6.51 -0.77 0.65 187.44 30.00 0.87 0.01 0.09

0.09 12.29 30.10 6.43 -0.78 0.64 188.09 30.10 0.87 0.01 0.09

0.09 12.37 30.20 6.35 -0.78 0.63 188.72 30.20 0.87 0.01 0.09

0.09 12.46 30.30 6.27 -0.78 0.63 189.35 30.30 0.87 0.01 0.09

0.09 12.55 30.40 6.19 -0.79 0.62 189.97 30.40 0.87 0.01 0.09

0.09 12.63 30.50 6.11 -0.79 0.61 190.58 30.50 0.87 0.01 0.09

0.09 12.72 30.60 6.03 -0.79 0.60 191.18 30.60 0.87 0.01 0.09


57/92

0.09 12.81 30.70 5.95 -0.80 0.60 191.78 30.70 0.88 0.01 0.09

0.09 12.90 30.80 5.87 -0.80 0.59 192.37 30.80 0.88 0.01 0.09

0.09 12.98 30.90 5.79 -0.80 0.58 192.95 30.90 0.88 0.01 0.09

0.09 13.07 31.00 5.71 -0.81 0.57 193.52 31.00 0.88 0.01 0.09

0.09 13.16 31.10 5.63 -0.81 0.56 194.08 31.10 0.88 0.01 0.09

0.09 13.25 31.20 5.55 -0.81 0.56 194.64 31.20 0.88 0.01 0.09

0.09 13.34 31.30 5.47 -0.82 0.55 195.18 31.30 0.88 0.01 0.09

0.09 13.42 31.40 5.39 -0.82 0.54 195.72 31.40 0.88 0.01 0.09

0.09 13.51 31.50 5.31 -0.82 0.53 196.25 31.50 0.88 0.01 0.09

0.09 13.60 31.60 5.22 -0.82 0.52 196.77 31.60 0.89 0.01 0.09

0.09 13.69 31.70 5.14 -0.83 0.51 197.29 31.70 0.89 0.01 0.09

0.09 13.78 31.80 5.06 -0.83 0.51 197.79 31.80 0.89 0.01 0.09

0.09 13.87 31.90 4.97 -0.83 0.50 198.29 31.90 0.89 0.01 0.09

0.09 13.96 32.00 4.89 -0.83 0.49 198.78 32.00 0.89 0.01 0.09

0.09 14.05 32.10 4.81 -0.84 0.48 199.26 32.10 0.89 0.01 0.090.09 14.14 32.20 4.72 -0.84 0.47 199.73 32.20 0.89 0.01 0.09

0.09 14.22 32.30 4.64 -0.84 0.46 200.20 32.30 0.89 0.01 0.09

0.09 14.31 32.40 4.55 -0.85 0.46 200.65 32.40 0.89 0.01 0.09

0.09 14.40 32.50 4.47 -0.85 0.45 201.10 32.50 0.89 0.01 0.09

0.09 14.49 32.60 4.38 -0.85 0.44 201.54 32.60 0.89 0.01 0.09

0.09 14.58 32.70 4.30 -0.85 0.43 201.97 32.70 0.90 0.01 0.09

0.09 14.67 32.80 4.21 -0.86 0.42 202.39 32.80 0.90 0.01 0.09

0.09 14.76 32.90 4.13 -0.86 0.41 202.80 32.90 0.90 0.01 0.09

0.09 14.85 33.00 4.04 -0.86 0.40 203.21 33.00 0.90 0.01 0.09

0.09 14.94 33.10 3.96 -0.86 0.40 203.60 33.10 0.90 0.01 0.09

0.09 15.03 33.20 3.87 -0.86 0.39 203.99 33.20 0.90 0.01 0.09

0.09 15.12 33.30 3.78 -0.87 0.38 204.37 33.30 0.90 0.01 0.09

0.09 15.21 33.40 3.70 -0.87 0.37 204.74 33.40 0.90 0.01 0.09

0.09 15.30 33.50 3.61 -0.87 0.36 205.10 33.50 0.90 0.01 0.09

0.09 15.39 33.60 3.52 -0.87 0.35 205.45 33.60 0.90 0.01 0.09

0.09 15.48 33.70 3.43 -0.87 0.34 205.79 33.70 0.90 0.01 0.09

0.09 15.57 33.80 3.35 -0.88 0.33 206.13 33.80 0.90 0.01 0.09

0.09 15.66 33.90 3.26 -0.88 0.33 206.46 33.90 0.91 0.01 0.09

0.09 15.75 34.00 3.17 -0.88 0.32 206.77 34.00 0.91 0.01 0.09

0.09 15.84 34.10 3.08 -0.88 0.31 207.08 34.10 0.91 0.01 0.09

0.09 15.94 34.20 2.99 -0.88 0.30 207.38 34.20 0.91 0.01 0.090.09 16.03 34.30 2.91 -0.89 0.29 207.67 34.30 0.91 0.01 0.09

0.09 16.12 34.40 2.82 -0.89 0.28 207.95 34.40 0.91 0.01 0.09

0.09 16.21 34.50 2.73 -0.89 0.27 208.23 34.50 0.91 0.01 0.09

0.09 16.30 34.60 2.64 -0.89 0.26 208.49 34.60 0.91 0.01 0.09

0.09 16.39 34.70 2.55 -0.89 0.25 208.74 34.70 0.91 0.01 0.09

0.09 16.48 34.80 2.46 -0.89 0.25 208.99 34.80 0.91 0.01 0.09

0.09 16.57 34.90 2.37 -0.90 0.24 209.23 34.90 0.91 0.01 0.09

0.09 16.66 35.00 2.28 -0.90 0.23 209.46 35.00 0.91 0.01 0.09

0.09 16.75 35.10 2.19 -0.90 0.22 209.67 35.10 0.91 0.01 0.09

0.09 16.85 35.20 2.10 -0.90 0.21 209.88 35.20 0.91 0.01 0.09

0.09 16.94 35.30 2.01 -0.90 0.20 210.09 35.30 0.91 0.01 0.09

0.09 17.03 35.40 1.92 -0.90 0.19 210.28 35.40 0.91 0.01 0.09


58/92

0.09 17.12 35.50 1.83 -0.90 0.18 210.46 35.50 0.92 0.01 0.09

0.09 17.21 35.60 1.74 -0.91 0.17 210.63 35.60 0.92 0.00 0.09

0.09 17.30 35.70 1.65 -0.91 0.16 210.80 35.70 0.92 0.00 0.09

0.09 17.40 35.80 1.56 -0.91 0.16 210.96 35.80 0.92 0.00 0.09

0.09 17.49 35.90 1.47 -0.91 0.15 211.10 35.90 0.92 0.00 0.09

0.09 17.58 36.00 1.38 -0.91 0.14 211.24 36.00 0.92 0.00 0.09

0.09 17.67 36.10 1.28 -0.91 0.13 211.37 36.10 0.92 0.00 0.09

0.09 17.76 36.20 1.19 -0.91 0.12 211.49 36.20 0.92 0.00 0.09

0.09 17.85 36.30 1.10 -0.91 0.11 211.60 36.30 0.92 0.00 0.09

0.09 17.95 36.40 1.01 -0.91 0.10 211.70 36.40 0.92 0.00 0.09

0.09 18.04 36.50 0.92 -0.92 0.09 211.79 36.50 0.92 0.00 0.09

0.09 18.13 36.60 0.83 -0.92 0.08 211.87 36.60 0.92 0.00 0.09

0.09 18.22 36.70 0.74 -0.92 0.07 211.95 36.70 0.92 0.00 0.09

0.09 18.31 36.80 0.64 -0.92 0.06 212.01 36.80 0.92 0.00 0.09

0.09 18.41 36.90 0.55 -0.92 0.06 212.07 36.90 0.92 0.00 0.090.09 18.50 37.00 0.46 -0.92 0.05 212.11 37.00 0.92 0.00 0.09

0.09 18.59 37.10 0.37 -0.92 0.04 212.15 37.10 0.92 0.00 0.09

0.09 18.68 37.20 0.28 -0.92 0.03 212.18 37.20 0.92 0.00 0.09

0.09 18.77 37.30 0.18 -0.92 0.02 212.20 37.30 0.92 0.00 0.09

0.09 18.87 37.40 0.09 -0.92 0.01 212.20 37.40 0.92 0.00 0.09

0.09 18.96 37.50 0.00 -0.92 0.00 212.20 37.50 0.92 0.00 0.09

0.09 19.05 37.60 -0.09 -0.92 -0.01 212.20 37.60 0.92 0.00 0.09

0.09 19.14 37.70 -0.18 -0.92 -0.02 212.18 37.70 0.92 0.00 0.09

0.09 19.24 37.80 -0.28 -0.92 -0.03 212.15 37.80 0.92 0.00 0.09

0.09 19.33 37.90 -0.37 -0.92 -0.04 212.11 37.90 0.92 0.00 0.09

0.09 19.42 38.00 -0.46 -0.92 -0.05 212.07 38.00 0.92 0.00 0.09

0.09 19.51 38.10 -0.55 -0.92 -0.06 212.01 38.10 0.92 0.00 0.09

0.09 19.61 38.20 -0.65 -0.92 -0.06 211.95 38.20 0.92 0.00 0.09

0.09 19.70 38.30 -0.74 -0.93 -0.07 211.87 38.30 0.92 0.00 0.09

0.09 19.79 38.40 -0.83 -0.93 -0.08 211.79 38.40 0.92 0.00 0.09

0.09 19.88 38.50 -0.92 -0.93 -0.09 211.70 38.50 0.92 0.00 0.09

0.09 19.98 38.60 -1.02 -0.93 -0.10 211.60 38.60 0.92 0.00 0.09

0.09 20.07 38.70 -1.11 -0.93 -0.11 211.48 38.70 0.92 0.00 0.09

0.09 20.16 38.80 -1.20 -0.93 -0.12 211.36 38.80 0.92 0.00 0.09

0.09 20.25 38.90 -1.29 -0.93 -0.13 211.23 38.90 0.92 0.00 0.09

0.09 20.35 39.00 -1.39 -0.93 -0.14 211.10 39.00 0.92 0.00 0.090.09 20.44 39.10 -1.48 -0.93 -0.15 210.95 39.10 0.92 0.00 0.09

0.09 20.53 39.20 -1.57 -0.93 -0.16 210.79 39.20 0.92 0.00 0.09

0.09 20.62 39.30 -1.66 -0.92 -0.17 210.62 39.30 0.92 0.00 0.09

0.09 20.72 39.40 -1.76 -0.92 -0.18 210.45 39.40 0.92 0.00 0.09

0.09 20.81 39.50 -1.85 -0.92 -0.18 210.26 39.50 0.92 0.00 0.09

0.09 20.90 39.60 -1.94 -0.92 -0.19 210.07 39.60 0.92 0.00 0.09

0.09 20.99 39.70 -2.03 -0.92 -0.20 209.87 39.70 0.92 0.00 0.09

0.09 21.08 39.80 -2.13 -0.92 -0.21 209.65 39.80 0.92 0.00 0.09

0.09 21.18 39.90 -2.22 -0.92 -0.22 209.43 39.90 0.92 0.00 0.09

0.09 21.27 40.00 -2.31 -0.92 -0.23 209.20 40.00 0.92 0.00 0.09

0.09 21.36 40.10 -2.40 -0.92 -0.24 208.96 40.10 0.92 0.00 0.09

0.09 21.45 40.20 -2.50 -0.92 -0.25 208.71 40.20 0.92 0.00 0.09

0 09 21 55 40 30 2 59 0 92 0 26 208 45 40 30 0 92 0 00 0 09


59/92

0.09 21.55 40.30 -2.59 -0.92 -0.26 208.45 40.30 0.92 0.00 0.09

0.09 21.64 40.40 -2.68 -0.92 -0.27 208.18 40.40 0.92 0.00 0.09

0.09 21.73 40.50 -2.77 -0.92 -0.28 207.91 40.50 0.92 0.00 0.09

0.09 21.82 40.60 -2.86 -0.92 -0.29 207.62 40.60 0.92 0.00 0.09

0.09 21.92 40.70 -2.96 -0.92 -0.30 207.32 40.70 0.92 0.00 0.090.09 22.01 40.80 -3.05 -0.92 -0.30 207.02 40.80 0.92 0.00 0.09

0.09 22.10 40.90 -3.14 -0.92 -0.31 206.71 40.90 0.92 0.00 0.09

0.09 22.19 41.00 -3.23 -0.92 -0.32 206.38 41.00 0.92 0.00 0.09

0.09 22.29 41.10 -3.32 -0.91 -0.33 206.05 41.10 0.92 0.00 0.09

0.09 22.38 41.20 -3.41 -0.91 -0.34 205.71 41.20 0.92 0.00 0.09

0.09 22.47 41.30 -3.50 -0.91 -0.35 205.36 41.30 0.92 0.00 0.09

0.09 22.56 41.40 -3.60 -0.91 -0.36 205.00 41.40 0.92 0.00 0.09

0.09 22.65 41.50 -3.69 -0.91 -0.37 204.63 41.50 0.92 0.00 0.09

0.09 22.75 41.60 -3.78 -0.91 -0.38 204.25 41.60 0.92 0.00 0.09

0.09 22.84 41.70 -3.87 -0.91 -0.39 203.87 41.70 0.92 0.00 0.090.09 22.93 41.80 -3.96 -0.91 -0.40 203.47 41.80 0.92 0.00 0.09

0.09 23.02 41.90 -4.05 -0.91 -0.41 203.06 41.90 0.92 0.00 0.09

0.09 23.12 42.00 -4.14 -0.91 -0.41 202.65 42.00 0.92 0.00 0.09

0.09 23.21 42.10 -4.23 -0.90 -0.42 202.23 42.10 0.92 0.00 0.09

0.09 23.30 42.20 -4.32 -0.90 -0.43 201.80 42.20 0.92 0.00 0.09

0.09 23.39 42.30 -4.41 -0.90 -0.44 201.35 42.30 0.92 0.00 0.09

0.09 23.48 42.40 -4.50 -0.90 -0.45 200.90 42.40 0.92 0.00 0.09

0.09 23.57 42.50 -4.59 -0.90 -0.46 200.45 42.50 0.92 0.00 0.09

0.09 23.67 42.60 -4.68 -0.90 -0.47 199.98 42.60 0.92 0.00 0.09

0.09 23.76 42.70 -4.77 -0.90 -0.48 199.50 42.70 0.92 0.00 0.09

0.09 23.85 42.80 -4.86 -0.89 -0.49 199.01 42.80 0.92 0.00 0.09

0.09 23.94 42.90 -4.95 -0.89 -0.49 198.52 42.90 0.92 0.00 0.09

0.09 24.03 43.00 -5.04 -0.89 -0.50 198.02 43.00 0.92 0.00 0.09

0.09 24.12 43.10 -5.13 -0.89 -0.51 197.50 43.10 0.92 0.00 0.09

0.09 24.22 43.20 -5.22 -0.89 -0.52 196.98 43.20 0.92 0.00 0.09

0.09 24.31 43.30 -5.30 -0.89 -0.53 196.45 43.30 0.91 -0.01 0.09

0.09 24.40 43.40 -5.39 -0.88 -0.54 195.91 43.40 0.91 -0.01 0.09

0.09 24.49 43.50 -5.48 -0.88 -0.55 195.36 43.50 0.91 -0.01 0.09

0.09 24.58 43.60 -5.57 -0.88 -0.56 194.81 43.60 0.91 -0.01 0.09

0.09 24.67 43.70 -5.66 -0.88 -0.57 194.24 43.70 0.91 -0.01 0.09

0.09 24.76 43.80 -5.74 -0.88 -0.57 193.67 43.80 0.91 -0.01 0.090.09 24.86 43.90 -5.83 -0.87 -0.58 193.08 43.90 0.91 -0.01 0.09

0.09 24.95 44.00 -5.92 -0.87 -0.59 192.49 44.00 0.91 -0.01 0.09

0.09 25.04 44.10 -6.01 -0.87 -0.60 191.89 44.10 0.91 -0.01 0.09

0.09 25.13 44.20 -6.09 -0.87 -0.61 191.28 44.20 0.91 -0.01 0.09

0.09 25.22 44.30 -6.18 -0.87 -0.62 190.66 44.30 0.91 -0.01 0.09

0.09 25.31 44.40 -6.27 -0.86 -0.63 190.04 44.40 0.91 -0.01 0.09

0.09 25.40 44.50 -6.35 -0.86 -0.64 189.40 44.50 0.91 -0.01 0.09

0.09 25.49 44.60 -6.44 -0.86 -0.64 188.76 44.60 0.91 -0.01 0.09

0.09 25.58 44.70 -6.52 -0.86 -0.65 188.11 44.70 0.91 -0.01 0.09

0.09 25.67 44.80 -6.61 -0.85 -0.66 187.44 44.80 0.91 -0.01 0.09

0.09 25.76 44.90 -6.69 -0.85 -0.67 186.78 44.90 0.90 -0.01 0.09

0.09 25.85 45.00 -6.78 -0.85 -0.68 186.10 45.00 0.90 -0.01 0.09

0 09 25 94 45 10 6 86 0 85 0 69 185 41 45 10 0 90 0 01 0 09


60/92

0.09 25.94 45.10 -6.86 -0.85 -0.69 185.41 45.10 0.90 -0.01 0.09

0.09 26.03 45.20 -6.95 -0.84 -0.69 184.72 45.20 0.90 -0.01 0.09

0.09 26.12 45.30 -7.03 -0.84 -0.70 184.01 45.30 0.90 -0.01 0.09

0.09 26.21 45.40 -7.12 -0.84 -0.71 183.30 45.40 0.90 -0.01 0.09

0.09 26.30 45.50 -7.20 -0.84 -0.72 182.58 45.50 0.90 -0.01 0.090.09 26.39 45.60 -7.28 -0.83 -0.73 181.85 45.60 0.90 -0.01 0.09

0.09 26.48 45.70 -7.37 -0.83 -0.74 181.12 45.70 0.90 -0.01 0.09

0.09 26.57 45.80 -7.45 -0.83 -0.74 180.37 45.80 0.90 -0.01 0.09

0.09 26.66 45.90 -7.53 -0.83 -0.75 179.62 45.90 0.90 -0.01 0.09

0.09 26.75 46.00 -7.61 -0.82 -0.76 178.86 46.00 0.90 -0.01 0.09

0.09 26.84 46.10 -7.70 -0.82 -0.77 178.09 46.10 0.89 -0.01 0.09

0.09 26.93 46.20 -7.78 -0.82 -0.78 177.31 46.20 0.89 -0.01 0.09

0.09 27.02 46.30 -7.86 -0.81 -0.79 176.52 46.30 0.89 -0.01 0.09

0.09 27.11 46.40 -7.94 -0.81 -0.79 175.73 46.40 0.89 -0.01 0.09

0.09 27.20 46.50 -8.02 -0.81 -0.80 174.93 46.50 0.89 -0.01 0.090.09 27.29 46.60 -8.10 -0.81 -0.81 174.12 46.60 0.89 -0.01 0.09

0.09 27.38 46.70 -8.18 -0.80 -0.82 173.30 46.70 0.89 -0.01 0.09

0.09 27.47 46.80 -8.26 -0.80 -0.83 172.47 46.80 0.89 -0.01 0.09

0.09 27.56 46.90 -8.34 -0.80 -0.83 171.64 46.90 0.89 -0.01 0.09

0.09 27.64 47.00 -8.42 -0.79 -0.84 170.80 47.00 0.89 -0.01 0.09

0.09 27.73 47.10 -8.50 -0.79 -0.85 169.95 47.10 0.89 -0.01 0.09

0.09 27.82 47.20 -8.58 -0.79 -0.86 169.09 47.20 0.88 -0.01 0.09

0.09 27.91 47.30 -8.66 -0.78 -0.87 168.22 47.30 0.88 -0.01 0.09

0.09 28.00 47.40 -8.74 -0.78 -0.87 167.35 47.40 0.88 -0.01 0.09

0.09 28.09 47.50 -8.81 -0.78 -0.88 166.47 47.50 0.88 -0.01 0.09

0.09 28.17 47.60 -8.89 -0.77 -0.89 165.58 47.60 0.88 -0.01 0.09

0.09 28.26 47.70 -8.97 -0.77 -0.90 164.68 47.70 0.88 -0.01 0.09

0.09 28.35 47.80 -9.04 -0.77 -0.90 163.78 47.80 0.88 -0.01 0.09

0.09 28.44 47.90 -9.12 -0.76 -0.91 162.87 47.90 0.88 -0.01 0.09

0.09 28.52 48.00 -9.20 -0.76 -0.92 161.95 48.00 0.88 -0.01 0.09

0.09 28.61 48.10 -9.27 -0.75 -0.93 161.02 48.10 0.87 -0.01 0.09

0.09 28.70 48.20 -9.35 -0.75 -0.93 160.08 48.20 0.87 -0.01 0.09

0.09 28.79 48.30 -9.42 -0.75 -0.94 159.14 48.30 0.87 -0.01 0.09

0.09 28.87 48.40 -9.50 -0.74 -0.95 158.19 48.40 0.87 -0.01 0.09

0.09 28.96 48.50 -9.57 -0.74 -0.96 157.24 48.50 0.87 -0.01 0.09

0.09 29.05 48.60 -9.64 -0.74 -0.96 156.27 48.60 0.87 -0.01 0.090.09 29.13 48.70 -9.72 -0.73 -0.97 155.30 48.70 0.87 -0.01 0.09

0.09 29.22 48.80 -9.79 -0.73 -0.98 154.32 48.80 0.87 -0.01 0.09

0.09 29.31 48.90 -9.86 -0.72 -0.99 153.33 48.90 0.87 -0.01 0.09

0.09 29.39 49.00 -9.93 -0.72 -0.99 152.34 49.00 0.86 -0.01 0.09

0.09 29.48 49.10 -10.01 -0.72 -1.00 151.34 49.10 0.86 -0.01 0.09

0.09 29.57 49.20 -10.08 -0.71 -1.01 150.33 49.20 0.86 -0.01 0.09

0.09 29.65 49.30 -10.15 -0.71 -1.01 149.32 49.30 0.86 -0.01 0.09

0.09 29.74 49.40 -10.22 -0.70 -1.02 148.30 49.40 0.86 -0.01 0.09

0.09 29.82 49.50 -10.29 -0.70 -1.03 147.27 49.50 0.86 -0.01 0.09

0.09 29.91 49.60 -10.36 -0.70 -1.04 146.23 49.60 0.86 -0.01 0.09

0.09 29.99 49.70 -10.43 -0.69 -1.04 145.19 49.70 0.85 -0.01 0.09

0.09 30.08 49.80 -10.50 -0.69 -1.05 144.14 49.80 0.85 -0.01 0.09

0 09 30 17 49 90 -10 56 -0 68 -1 06 143 08 49 90 0 85 -0 01 0 09


61/92

0.09 30.17 49.90 10.56 0.68 1.06 143.08 49.90 0.85 0.01 0.09

0.09 30.25 50.00 -10.63 -0.68 -1.06 142.02 50.00 0.85 -0.01 0.09

0.08 30.34 50.10 -10.70 -0.67 -1.07 140.95 50.10 0.85 -0.01 0.08

0.08 30.42 50.20 -10.77 -0.67 -1.08 139.87 50.20 0.85 -0.01 0.08

0.08 30.50 50.30 -10.83 -0.66 -1.08 138.79 50.30 0.85 -0.01 0.080.08 30.59 50.40 -10.90 -0.66 -1.09 137.70 50.40 0.84 -0.01 0.08

0.08 30.67 50.50 -10.96 -0.66 -1.10 136.60 50.50 0.84 -0.01 0.08

0.08 30.76 50.60 -11.03 -0.65 -1.10 135.50 50.60 0.84 -0.01 0.08

0.08 30.84 50.70 -11.09 -0.65 -1.11 134.39 50.70 0.84 -0.01 0.08

0.08 30.93 50.80 -11.16 -0.64 -1.12 133.28 50.80 0.84 -0.01 0.08

0.08 31.01 50.90 -11.22 -0.64 -1.12 132.15 50.90 0.84 -0.02 0.08

0.08 31.09 51.00 -11.28 -0.63 -1.13 131.03 51.00 0.84 -0.02 0.08

0.08 31.18 51.10 -11.35 -0.63 -1.13 129.89 51.10 0.83 -0.02 0.08

0.08 31.26 51.20 -11.41 -0.62 -1.14 128.75 51.20 0.83 -0.02 0.08

0.08 31.34 51.30 -11.47 -0.62 -1.15 127.60 51.30 0.83 -0.02 0.080.08 31.43 51.40 -11.53 -0.61 -1.15 126.45 51.40 0.83 -0.02 0.08

0.08 31.51 51.50 -11.59 -0.61 -1.16 125.29 51.50 0.83 -0.02 0.08

0.08 31.59 51.60 -11.65 -0.60 -1.17 124.12 51.60 0.83 -0.02 0.08

0.08 31.67 51.70 -11.71 -0.60 -1.17 122.95 51.70 0.82 -0.02 0.08

0.08 31.76 51.80 -11.77 -0.59 -1.18 121.78 51.80 0.82 -0.02 0.08

0.08 31.84 51.90 -11.83 -0.59 -1.18 120.59 51.90 0.82 -0.02 0.08

0.08 31.92 52.00 -11.89 -0.58 -1.19 119.40 52.00 0.82 -0.02 0.08

0.08 32.00 52.10 -11.95 -0.58 -1.19 118.21 52.10 0.82 -0.02 0.08

0.08 32.08 52.20 -12.00 -0.57 -1.20 117.01 52.20 0.82 -0.02 0.08

0.08 32.17 52.30 -12.06 -0.57 -1.21 115.80 52.30 0.81 -0.02 0.08

0.08 32.25 52.40 -12.12 -0.56 -1.21 114.59 52.40 0.81 -0.02 0.08

0.08 32.33 52.50 -12.17 -0.56 -1.22 113.37 52.50 0.81 -0.02 0.08

52.60 0.81 -0.02 0.08

52.70 0.81 -0.02 0.08

52.80 0.81 -0.02 0.08

52.90 0.80 -0.02 0.08

53.00 0.80 -0.02 0.08

53.10 0.80 -0.02 0.08

53.20 0.80 -0.02 0.08

53.30 0.80 -0.02 0.08

53.40 0.80 -0.02 0.0853.50 0.79 -0.02 0.08

53.60 0.79 -0.02 0.08

53.70 0.79 -0.02 0.08

53.80 0.79 -0.02 0.08

53.90 0.79 -0.02 0.08

54.00 0.78 -0.02 0.08

54.10 0.78 -0.02 0.08

54.20 0.78 -0.02 0.08

54.30 0.78 -0.02 0.08

54.40 0.78 -0.02 0.08

54.50 0.77 -0.02 0.08

54.60 0.77 -0.02 0.08

54.70 0.77 -0.02 0.08


62/92

54.80 0.77 -0.02 0.08

54.90 0.77 -0.02 0.08

55.00 0.76 -0.02 0.08

55.10 0.76 -0.02 0.0855.20 0.76 -0.02 0.08

55.30 0.76 -0.02 0.08

55.40 0.76 -0.02 0.08

55.50 0.75 -0.02 0.08

55.60 0.75 -0.02 0.08

55.70 0.75 -0.02 0.07

55.80 0.75 -0.02 0.07

55.90 0.75 -0.02 0.07

56.00 0.74 -0.02 0.07

56.10 0.74 -0.02 0.0756.20 0.74 -0.02 0.07

56.30 0.74 -0.02 0.07

56.40 0.73 -0.02 0.07

56.50 0.73 -0.02 0.07

56.60 0.73 -0.02 0.07

56.70 0.73 -0.02 0.07

56.80 0.73 -0.02 0.07

56.90 0.72 -0.02 0.07

57.00 0.72 -0.02 0.07

57.10 0.72 -0.02 0.07

57.20 0.72 -0.02 0.07

57.30 0.71 -0.02 0.07

57.40 0.71 -0.02 0.07

57.50 0.71 -0.02 0.07

57.60 0.71 -0.02 0.07

57.70 0.70 -0.02 0.07

57.80 0.70 -0.02 0.07

57.90 0.70 -0.02 0.07

58.00 0.70 -0.02 0.07

58.10 0.69 -0.02 0.07

58.20 0.69 -0.02 0.0758.30 0.69 -0.02 0.07

58.40 0.69 -0.02 0.07

58.50 0.68 -0.03 0.07

58.60 0.68 -0.03 0.07

58.70 0.68 -0.03 0.07

58.80 0.68 -0.03 0.07

58.90 0.67 -0.03 0.07

59.00 0.67 -0.03 0.07

59.10 0.67 -0.03 0.07

59.20 0.67 -0.03 0.07

59.30 0.66 -0.03 0.07

59.40 0.66 -0.03 0.07

59.50 0.66 -0.03 0.07


63/92

59.60 0.66 -0.03 0.07

59.70 0.65 -0.03 0.07

59.80 0.65 -0.03 0.07

59.90 0.65 -0.03 0.0660.00 0.65 -0.03 0.06

60.10 0.64 -0.03 0.06

60.20 0.64 -0.03 0.06

60.30 0.64 -0.03 0.06

60.40 0.63 -0.03 0.06

60.50 0.63 -0.03 0.06

60.60 0.63 -0.03 0.06

60.70 0.63 -0.03 0.06

60.80 0.62 -0.03 0.06

60.90 0.62 -0.03 0.0661.00 0.62 -0.03 0.06

61.10 0.61 -0.03 0.06

61.20 0.61 -0.03 0.06

61.30 0.61 -0.03 0.06

61.40 0.61 -0.03 0.06

61.50 0.60 -0.03 0.06

61.60 0.60 -0.03 0.06

61.70 0.60 -0.03 0.06

61.80 0.59 -0.03 0.06

61.90 0.59 -0.03 0.06

62.00 0.59 -0.03 0.06

62.10 0.59 -0.03 0.06

62.20 0.58 -0.03 0.06

62.30 0.58 -0.03 0.06

62.40 0.58 -0.03 0.06

62.50 0.57 -0.03 0.06

62.60 0.57 -0.03 0.06

62.70 0.57 -0.03 0.06

62.80 0.56 -0.03 0.06

62.90 0.56 -0.03 0.06

63.00 0.56 -0.03 0.0663.10 0.56 -0.03 0.06

63.20 0.55 -0.03 0.06

63.30 0.55 -0.03 0.05

63.40 0.55 -0.03 0.05

63.50 0.54 -0.03 0.05

63.60 0.54 -0.03 0.05

63.70 0.54 -0.03 0.05

63.80 0.53 -0.03 0.05

63.90 0.53 -0.03 0.05

64.00 0.53 -0.03 0.05

64.10 0.52 -0.03 0.05

64.20 0.52 -0.03 0.05

64.30 0.52 -0.03 0.05


64/92

64.40 0.51 -0.03 0.05

64.50 0.51 -0.03 0.05

64.60 0.51 -0.03 0.05

64.70 0.50 -0.03 0.0564.80 0.50 -0.03 0.05

64.90 0.50 -0.03 0.05

65.00 0.49 -0.03 0.05

65.10 0.49 -0.03 0.05

65.20 0.49 -0.03 0.05

65.30 0.48 -0.03 0.05

65.40 0.48 -0.03 0.05

65.50 0.48 -0.03 0.05

65.60 0.47 -0.03 0.05

65.70 0.47 -0.03 0.0565.80 0.47 -0.03 0.05

65.90 0.46 -0.03 0.05

66.00 0.46 -0.03 0.05

66.10 0.46 -0.03 0.05

66.20 0.45 -0.04 0.05

66.30 0.45 -0.04 0.04

66.40 0.45 -0.04 0.04

66.50 0.44 -0.04 0.04

66.60 0.44 -0.04 0.04

66.70 0.43 -0.04 0.04

66.80 0.43 -0.04 0.04

66.90 0.43 -0.04 0.04

67.00 0.42 -0.04 0.04

67.10 0.42 -0.04 0.04

67.20 0.42 -0.04 0.04

67.30 0.41 -0.04 0.04

67.40 0.41 -0.04 0.04

67.50 0.41 -0.04 0.04

67.60 0.40 -0.04 0.04

67.70 0.40 -0.04 0.04

67.80 0.39 -0.04 0.0467.90 0.39 -0.04 0.04

68.00 0.39 -0.04 0.04

68.10 0.38 -0.04 0.04

68.20 0.38 -0.04 0.04

68.30 0.38 -0.04 0.04

68.40 0.37 -0.04 0.04

68.50 0.37 -0.04 0.04

68.60 0.36 -0.04 0.04

68.70 0.36 -0.04 0.04

68.80 0.36 -0.04 0.04

68.90 0.35 -0.04 0.04

69.00 0.35 -0.04 0.03

69.10 0.35 -0.04 0.03


65/92

69.20 0.34 -0.04 0.03

69.30 0.34 -0.04 0.03

69.40 0.33 -0.04 0.03

69.50 0.33 -0.04 0.0369.60 0.33 -0.04 0.03

69.70 0.32 -0.04 0.03

69.80 0.32 -0.04 0.03

69.90 0.31 -0.04 0.03

70.00 0.31 -0.04 0.03

70.10 0.31 -0.04 0.03

70.20 0.30 -0.04 0.03

70.30 0.30 -0.04 0.03

70.40 0.29 -0.04 0.03

70.50 0.29 -0.04 0.0370.60 0.29 -0.04 0.03

70.70 0.28 -0.04 0.03

70.80 0.28 -0.04 0.03

70.90 0.27 -0.04 0.03

71.00 0.27 -0.04 0.03

71.10 0.26 -0.04 0.03

71.20 0.26 -0.04 0.03

71.30 0.26 -0.04 0.03

71.40 0.25 -0.04 0.03

71.50 0.25 -0.04 0.02

71.60 0.24 -0.04 0.02

71.70 0.24 -0.04 0.02

71.80 0.24 -0.04 0.02

71.90 0.23 -0.04 0.02

72.00 0.23 -0.04 0.02

72.10 0.22 -0.04 0.02

72.20 0.22 -0.04 0.02

72.30 0.21 -0.04 0.02

72.40 0.21 -0.04 0.02

72.50 0.20 -0.04 0.02

72.60 0.20 -0.04 0.0272.70 0.20 -0.04 0.02

72.80 0.19 -0.04 0.02

72.90 0.19 -0.04 0.02

73.00 0.18 -0.04 0.02

73.10 0.18 -0.04 0.02

73.20 0.17 -0.04 0.02

73.30 0.17 -0.04 0.02

73.40 0.17 -0.04 0.02

73.50 0.16 -0.04 0.02

73.60 0.16 -0.04 0.02

73.70 0.15 -0.04 0.02

73.80 0.15 -0.05 0.01

73.90 0.14 -0.05 0.01

74 00 0 14 0 05 0 01


66/92

74.00 0.14 -0.05 0.01

74.10 0.13 -0.05 0.01

74.20 0.13 -0.05 0.01

74.30 0.12 -0.05 0.0174.40 0.12 -0.05 0.01

74.50 0.12 -0.05 0.01

74.60 0.11 -0.05 0.01

74.70 0.11 -0.05 0.01

74.80 0.10 -0.05 0.01

74.90 0.10 -0.05 0.01

75.00 0.09 -0.05 0.01

75.10 0.09 -0.05 0.01

75.20 0.08 -0.05 0.01

75.30 0.08 -0.05 0.0175.40 0.07 -0.05 0.01

75.50 0.07 -0.05 0.01

75.60 0.06 -0.05 0.01

75.70 0.06 -0.05 0.01

75.80 0.05 -0.05 0.01

75.90 0.05 -0.05 0.00

76.00 0.04 -0.05 0.00

76.10 0.04 -0.05 0.00

76.20 0.04 -0.05 0.00

76.30 0.03 -0.05 0.00

76.40 0.03 -0.05 0.00

76.50 0.02 -0.05 0.00

76.60 0.02 -0.05 0.00

76.70 0.01 -0.05 0.00

76.80 0.01 -0.05 0.00

76.90 0.00 -0.05 0.00

77.00 0.00 -0.05 0.00

77.10 -0.01 -0.05 0.00

77.20 -0.01 -0.05 0.00

77.30 -0.02 -0.05 0.00

77.40 -0.02 -0.05 0.0077.50 -0.03 -0.05 0.00

77.60 -0.03 -0.05 0.00

77.70 -0.04 -0.05 0.00

77.80 -0.04 -0.05 0.00

77.90 -0.05 -0.05 0.00

78.00 -0.05 -0.05 -0.01

78.10 -0.06 -0.05 -0.01

78.20 -0.06 -0.05 -0.01

78.30 -0.07 -0.05 -0.01

78.40 -0.07 -0.05 -0.01

78.50 -0.08 -0.05 -0.01

78.60 -0.08 -0.05 -0.01

78.70 -0.09 -0.05 -0.01

78 80 0 09 0 05 0 01


67/92

78.80 -0.09 -0.05 -0.01

78.90 -0.10 -0.05 -0.01

79.00 -0.11 -0.05 -0.01

79.10 -0.11 -0.05 -0.0179.20 -0.12 -0.05 -0.01

79.30 -0.12 -0.05 -0.01

79.40 -0.13 -0.05 -0.01

79.50 -0.13 -0.05 -0.01

79.60 -0.14 -0.05 -0.01

79.70 -0.14 -0.05 -0.01

79.80 -0.15 -0.05 -0.01

79.90 -0.15 -0.05 -0.02

80.00 -0.16 -0.05 -0.02

80.10 -0.16 -0.05 -0.02

80.20 -0.17 -0.05 -0.02

80.30 -0.17 -0.05 -0.02

80.40 -0.18 -0.05 -0.02

80.50 -0.18 -0.05 -0.02

80.60 -0.19 -0.05 -0.02

80.70 -0.20 -0.05 -0.02

80.80 -0.20 -0.05 -0.02

80.90 -0.21 -0.05 -0.02

81.00 -0.21 -0.05 -0.02

81.10 -0.22 -0.05 -0.02

81.20 -0.22 -0.05 -0.0281.30 -0.23 -0.05 -0.02

81.40 -0.23 -0.06 -0.02

81.50 -0.24 -0.06 -0.02

81.60 -0.24 -0.06 -0.02

81.70 -0.25 -0.06 -0.03

81.80 -0.26 -0.06 -0.03

81.90 -0.26 -0.06 -0.03

82.00 -0.27 -0.06 -0.03

82.10 -0.27 -0.06 -0.03

82.20 -0.28 -0.06 -0.0382.30 -0.28 -0.06 -0.03

82.40 -

Documents

Yield From CA & Dam Design_3