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7/31/2019 Yield From CA & Dam Design_3
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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
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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))
R = avg annual runoff in mm
P = avg annual rainfall in mm
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
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Catchment area analysis for Jayakwadi Dam reservoir
R = P - (T/0.208)
R = avg annual runoff in mm
P = avg annual rainfall in mm
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
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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
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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
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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
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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
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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
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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
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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
Principal stress at the toe of the dam
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
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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)
Vertical stress at the heel of the dam
yU = (V2/b) x (1-(6e/b))
= 15.45143 t/m2
(compressive)
Principal stress at the toe of the dam
ID = yD . Sec2
D
tan D = 0.7
Sec2
D = 1.49
ID = 200.1967 t/m2
Principal stress at the toe of the dam
IU = yD . Sec2
U -p.tan2
U
tan U = 0.1
tan2
U = 0 01
e =
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Shear stress at the heel of the dam
(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
Check : Since F2 > 4 the dam section is safe against sliding
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
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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
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 dam
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 =
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yU = (V3/b) x (1-(6e/b))
= -39.0449 t/m2
(tensile)
Principal stress at the toe of the dam
ID = yD . Sec2
D
ID = 255.342 t/m2 (compressive)
Principal stress at the toe of the dam
IU = yU . Sec2
U -(p+pe).tan2
U
IU = -40.2114 t/m2 (tensile)Hence the dam section is unsafe
Shear stress at the toe of the dam
(yx)D = yD . tan D= 119.9594 t/m
2
Shear stress at the heel of the dam
(yx)U = -*yU - (p+pe)]. tan U= 11.61281 t/m2
Factor of safety against overturning
M(+ve)
M(-ve)
= 1.35
Check : Since F.S.
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= 3.105
Check : Since F2
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;
3
b4
W3
RL3
D
X1
Y1
toe
O
b
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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
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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
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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
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sile stress is substantial the dam is unsafe under seismic loading
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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
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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
(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 dam172646.38
4874.25
X = 35.40 m
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 - 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 :
Vertical stress at the toe of the dam
yD = (V1/b) x (1-(6e/b))
= 16.623556 t/m2
(compressive)
Vertical stress at the heel of the dam
yU = (V1/b) x (1+(6e/b))
= 158.23743 t/m2 (compressive)
Principal stress at the toe of the dam
ID = yD . Sec2
D
tan D = 0.7
Sec2
D = 1.49
ID = 24.769098 t/m2
Principal stress at the toe of the dam
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 =
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IU = yU . Sec2
U
tan U = 0.1
Sec2
U = 1.01
IU = 159.81981 t/m2
Shear stress at the toe of the dam
(yx)D = yD . tan D
= 11.636489 t/m2
Shear stress at the heel of the dam
(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
Forces (t/m) Lever Arm
from toe of
dam (m)
Moment @ toe of dam
RemarksHorizontal HE
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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
(a) Stability analysis
Case I Reservoir empty condition
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
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 - 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 :
Vertical stress at the toe of the dam
yD = (V3/b) x (1-(6e/b))
= 12.010383 t/m2
(compressive)
Vertical stress at the heel of the dam
yU = (V3/b) x (1+(6e/b))
= 164.19458 t/m2 (compressive)
Principal stress at the toe of the dam
ID = yD . Sec2
D
tan D = 0.7
Sec2
D = 1.49
ID = 17.895471 t/m2
Principal stress at the toe of the dam
2
3
For Reservoir
empty condition
49.951175
Inertial force due to
earthquake
1
X =
=
e =
no tension
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IU = yU . Sec2
U
tan U = 0.1
Sec2
U = 1.01
IU = 165.83653 t/m2
Shear stress at the toe of the dam
(yx)D = yD . tan D
= 8.4072683 t/m2
Shear stress at the heel of the dam
(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 =
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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
(a) Stability analysis
M7 Where x is the dist. Of the point of intersection O' of the
V7 resultant force with the base from the toe of the dam
89607
4192.9313
= 21.40 m
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 - 21.4
= 6.475 m
= -6.475 m ...use this value if above value is -ve
Check :
Vertical stress at the toe of the dam
yD = (V7/b) x (1+(6e/b))
= 127.62012 t/m2
(compressive)
Vertical stress at the heel of the dam
yU = (V7/b) x (1-(6e/b))
= 22.798942 t/m2
(compressive)
Principal stress at the toe of the dam
ID = yD . Sec2
D
tan D = 0.7Sec
2D = 1.49
ID = 190.15397 t/m2
Principal stress at the toe of the dam
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 =
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p = w.H
= 72.00 t/m2
ID = 22.306932 t/m2
Shear stress at the toe of the dam
(yx)D = yD . tan D
= 89.334081 t/m2
Shear stress at the heel of the dam
(yx)U = -(yU - p). tan U
= 4.9201058 t/m2
Factor of safety against overturning
M7 (+ve)
M7 (-ve)
= 1.91
Check : Since F.S.>1.5 the dam section is safe against overturning
Factor of safety against sliding
V7
H7
= 1.095
Check : Since F1 > 1 the dam section is safe against sliding
Shear friction factor
V7
+ bc
H7
= 4.0061755
Check : Since F2 > 4 the dam section is safe against sliding
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
Forces (t/m) Lever Arm
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
7/31/2019 Yield From CA & Dam Design_3
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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
M5 Where x is the dist. Of the point of intersection O' of the
V5 resultant force with the base from the toe of the dam
78265.27
4230.39
= 18.50 m
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 - 18.5
= 9.375 m
= -9.375 m ...use this value if above value is -ve
Check :
Vertical stress at the toe of the dam
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))
7/31/2019 Yield From CA & Dam Design_3
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yD = (V5/b) x (1+(6e/b))
= 152.44359 t/m2
(compressive)
Vertical stress at the heel of the dam
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
Principal stress at the toe of the dam
ID = yD . Sec2
D
ID = 227.14095 t/m2
(compressive)
Principal stress at the toe of the dam
IU = yU . Sec2
U -(p+pe).tan2
U
IU = -1.4633574 t/m2
(tensile)
Hence the dam section is unsafe
Shear stress at the toe of the dam
(yx)D = yD . tan D
= 106.71051 t/m2
Shear stress at the heel of the dam
(yx)U = -*yU - (p+pe)]. tan U
= 7.7763752 t/m2
Factor of safety against overturning
M(+ve)
M(-ve)
= 1.71
Check : Since F.S.>1.5 the dam section is safe against overturning
Factor of safety against sliding
V5
H5= 0.988
Check : Since F1
7/31/2019 Yield From CA & Dam Design_3
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D
toe
RL6
H'P'H
H'/3
P'V
x'
wH'
wH'
b = 7.5 m Y1 = 12.5
7/31/2019 Yield From CA & Dam Design_3
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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
7/31/2019 Yield From CA & Dam Design_3
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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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
42/92
7/31/2019 Yield From CA & Dam Design_3
43/92
7/31/2019 Yield From CA & Dam Design_3
44/92
7/31/2019 Yield From CA & Dam Design_3
45/92
7/31/2019 Yield From CA & Dam Design_3
46/92
7/31/2019 Yield From CA & Dam Design_3
47/92
7/31/2019 Yield From CA & Dam Design_3
48/92
7/31/2019 Yield From CA & Dam Design_3
49/92
7/31/2019 Yield From CA & Dam Design_3
50/92
7/31/2019 Yield From CA & Dam Design_3
51/92
7/31/2019 Yield From CA & Dam Design_3
52/92
Y1 = 12.5
x = 0.7
F12.5(75-12.5) = 390.6984 t
2 F75 6 251175 43 7
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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
7/31/2019 Yield From CA & Dam Design_3
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 -