MACHAI HYDROPOWER PROJECT
No :
Rev :
By :
Date :
Nov, 2011
CALCULATION SHEET
Structure
Review of Hydraulic Design of Shamozai Cross Regulator at RD 50+000 of Machai Canal
Component :
Checked By:
Feature
Input Data
Calculations
DESIGN OF CROSS REGULATOR:
INPUT AND OUTPUT TABLE:
Different Scenarios of Discharges
110%
100%
Channel
RD
51+000
0.98
0.98
0.98
0.98
0.98
(ft)
2585
2350
1880
1410
1175
2585
2350
1880
1410
1175
Q1
Discharge D/S
Q2
(ft)
No. of Bays
(No.)
5
9.51
Width of Each Bay
Bw
(ft)
Width of Each Pier
Bp
(ft)
1.97
Total Bridge Width / Width
of Structure
Bt
(ft)
55.45
Waterway through the piers
bw
(ft)
47.57
Effetive Waterway
Be
(ft)
45.44
U/S Bed Width
B1
(ft)
64.00
D/S Bed Width
B2
(ft)
D1
(ft)
U.S
Diff. of Discharges {Qc-Qdesign(u/s)}
64.00
8.39
7.94
6.97
5.89
5.29
1465.79
1465.34
1464.37
1463.29
1462.69
U/S FSL
EL. A
(ft)
U/S BL
EL. B
(ft)
1457.40
0.000300
W.S.S U/S
S1
(ft/ft)
Side slope U/S
ss1
(ft/ft)
Manning's n
n1
Lacey's f
f1
U/S Glacis slope
1.5
0.023
1.04
(ft/ft)
Area of Flow
Af1
(sq. ft)
642.50
602.58
519.04
429.02
380.63
Perimeter
P1
(ft)
94.25
92.62
89.13
85.24
83.08
Hyfraulic Radius
R1
(ft)
6.82
6.51
5.82
5.03
4.58
Velocity of flow
V1
(ft/sec)
4.02
3.90
3.62
3.29
3.09
Total Energy Level
TEL(u/s)
(ft)
1466.04
1465.57
1464.57
1463.46
1462.84
D2
(ft)
8.39
7.94
6.97
5.89
5.29
1464.81
1464.36
1463.39
1462.31
1461.71
429.02
380.63
Depth of Flow
D.S
Diff. of Discharges {Qc-Qdesign(d/s)}
D/S Canal Data
50%
(ft)
Discharge U/S
Depth of Flow
60%
Machai
Fall
U/S Canal Data
80%
D/S FSL
EL. E
(ft)
D/S BL
EL. F
(ft)
1456.42
0.000300
W.S.S D/S
S2
(ft/ft)
Side slope D/S
ss2
(ft/ft)
Manning's n
n2
Lacey's f
f2
D/S Glacis slope
Area of Flow
1.5
0.023
1.04
5.175
(ft/ft)
Af2
CR-1
(sq. ft)
642.50
602.58
519.04
Different Scenarios of Discharges
Crest
110%
100%
80%
60%
50%
(ft)
94.25
92.62
89.13
85.24
83.08
4.58
Perimeter
P2
Hyfraulic Radius
R2
(ft)
6.82
6.51
5.82
5.03
Velocity of flow
V2
(ft/sec)
4.02
3.90
3.62
3.29
3.09
Total Energy Level
TEL(d/s)
(ft)
1465.06
1464.59
1463.59
1462.48
1461.86
EL. C
(ft)
1458.40
(ft)
1.00
5.06
4.44
''EL. C'' adopted
Height of Crest
Head on Crest, H
(ft)
Floor Level of Cistern
EL. D
(ft)
1455.42
Structures Lengths
Bottom Elevation of Cutoffs
Elevations
Thickness of Slab
7.64
7.17
6.17
Total Floor Length
Lt
(ft)
78.50
Approach Floor Length
L1
(ft)
18.00
U/S Glacis Length
L2
(ft)
4.00
Crest Length
L3
(ft)
3.00
D/S Glacis Length
L4
(ft)
15.50
Cistern Length
L5
(ft)
38.00
D/S Apron Length
L6
(ft)
40.00
U/S Apron Length
L7
(ft)
20.00
U/S
EL. C1
(ft)
1445.44
D/S
EL. C2
(ft)
1445.40
U/S Bank Level
EL. J
(ft)
1468.34
1469.34
U/S Top of Wall
EL. K
(ft)
D/S Bank Level
EL. M
(ft)
1467.36
D/S Top of Wall
EL. N
(ft)
1468.36
U/S Floor
T1
(ft)
2.00
Toe of D/S Glacis
T2
(ft)
3.50
End of Cistern
T3
(ft)
3.00
CALCULATIONS:
Crest Level Calculated
1458.40
Fluming Ratio (Total str length)
86.64
74.34
Fluming Ratio (Waterway)
Calculated Discharge:
h1
7.64
7.17
6.17
5.06
4.44
h2
6.66
6.19
5.19
4.08
3.46
h2 / h1
0.87
0.86
0.84
0.81
0.78
2.90
3.09
3.09
3.09
3.09
Qcalc.
Qd/s
2783
2698
2154
1597
1313
2585.00
2350.00
1880.00
1410.00
1175.00
25.86
Check ( Qcalc. > Qd/s(design) )
OK
C.L - B.L(u/s)
1.00
1.98
C.L - B.L(d/s)
Cistern Floor
Level
Method 1
Unit discharge at throat
56.89
51.72
41.38
31.03
Working head
0.98
0.98
0.98
0.98
0.98
Critical depth
hc
4.65
4.36
3.76
3.10
2.75
h/hc
0.21
0.22
0.26
0.32
0.36
53.33
44.25
28.67
16.56
11.80
1411.73
1420.35
1434.92
1445.92
1450.06
1.50
1.50
1.50
1.50
1.50
1454.92
1454.92
1454.92
1454.92
1454.92
Cistern Level
Min. Recomm.
d'
Cistern Level
D=1/4(H*HL)^2/3
Method 2
Cistern Level
0.4*yc
0.4*yc
CR-2
0.96
0.92
0.83
0.73
0.67
1455.46
1455.50
1455.59
1455.69
1455.75
1.86
1.75
1.50
1.24
1.10
Different Scenarios of Discharges
Cistern Level
Method 3
R= 0.9(q^2/f)1/3 f=0.8
FOS for U/S Cuttoff
110%
100%
80%
60%
50%
1454.56
1454.67
1454.92
1455.18
1455.32
13.39
12.56
10.82
8.93
7.90
FOS(U/S)
1.52
FOS*R
U/S Cuttoff Depth
20.35
19.09
16.45
13.57
12.02
FSL(u/s) - FOS * R
U/S Cttoff El.
1445.44
1446.25
1447.92
1449.72
1450.68
C1'
11.96
11.15
9.48
7.68
6.72
C1
3.00
3.00
3.00
3.00
3.00
U/S Cutoff depth below
BL(u/s)
U/S Cutoff depth (min.
Recom.)
Adopted C1
Cutoffs (U/s and
d/s)
11.96
FOS for D/S Cuttoff
FOS(D/S)
FOS*R
FSL(d/s) - FOS * R
D/S Cuttoff
D/S Cutoff El.
1.45
19.41
18.21
15.69
12.95
11.46
1445.40
1446.15
1447.70
1449.36
1450.25
8.72
7.06
6.17
4.00
4.00
4.00
11.13
10.43
1463.46
1462.84
7.42
D/S Cttoff d2
C2'
11.02
10.27
D/S Cutoff depth (min.
Recom.)
C2
4.00
4.00
11.02
Adopted C2
Method 1
Length of
Stilling Basin
L=5(H*HL)^1/2
LB'
Maximum Length
LB'(max)
T.E.L in parent Channel
T.E.L (parent)
13.68
13.26
1466.04
1465.57
Cistern Level
Trialed
10.62
10.15
9.15
8.04
y1
2.49
2.30
1.92
1.51
1.30
V1
22.89
22.49
21.59
20.50
19.85
10.62
10.15
9.15
8.04
7.42
0.00
0.00
0.00
0.00
0.00
3.06
y1 + V12/2g
Froude No.
FN
2.56
2.61
2.75
2.94
Conjugate depth
y2
7.84
7.43
6.55
5.57
5.03
1456.19
1456.19
1456.18
1456.18
1456.18
Computed Floor Level of
Cistern with y2
Check
Patarka
Method 2
Length of
Stilling Basin
L/y2
Maximum Length
OK
OK
OK
OK
OK
4.80
4.85
4.97
5.14
5.24
37.63
36.04
32.59
28.66
26.36
37.63
LB'(max)
Diff. of Energy Levels
From page 75, fig 3.17 of
Iqbal Ali
K = U/s Energy head over crest
1464.57
1455.42
V21/2g+ y1+(z1-z2)
Method 4
12.30
13.68
Level of Jump below crest level
TEL (d/s)
1465.06
1464.59
1463.59
1462.48
1461.86
yc = C
4.65
4.36
3.76
3.10
2.75
0.98
0.98
0.98
0.98
0.98
L/C
0.21
0.22
0.26
0.32
0.36
(K+F)/C
2.01
2.03
2.08
2.14
2.20
X/C
0.88
0.87
0.85
0.82
0.80
4.10
3.82
3.21
2.56
2.20
Y/C
1.45
1.46
1.49
1.52
1.55
6.77
6.39
5.59
4.73
4.26
1.72
1.69
1.63
1.60
1.60
1456.68
1456.71
1456.77
1456.80
1456.80
6.51
6.69
6.98
7.14
7.16
1455.84
1455.92
1456.09
1456.23
1456.30
OK
OK
OK
OK
OK
U/S
FSL
FSL
FSL
Crest Level
D/S
FSL
BL
FSL
Cistern Level
EL. of jump fomation
Hz. Length till start of SB
Lo
Cistern Level Calculated
Check
Calculations for Impervious Length
Different Scenarios of Calculating Hmax
CR-3
Different Scenarios of Discharges
110%
100%
80%
60%
WL U/S
1465.79
1465.34
1464.37
1458.40
WL D/S
1464.81
1456.42
1463.39
1455.42
Hmax.
0.98
8.92
0.98
2.98
Different Scenarios of Calculating Hmax.
Hmax
Total floor length (Reverse
Calculations)
8.92
Assumed Total Impervious
Length
52.60
52.60
52.60
52.60
depth of d/s cistern cuttoff
11.02
11.02
11.02
11.02
=b/d
4.77
4.77
4.77
4.77
2.94
2.94
2.94
2.94
0.15
0.15
0.15
0.15
Calculated GE
bmax.
Calculated
Approach Floor
Length, L1
D/S Apron
Length, L6
Min. Recommen
Calculated
2*R
Transition1:3
Min. Recommended
Min. Recommen
CR-4
-7.90
18.00
26.77
25.7
40.00
Calculated
U/S Apron
Length, L7
52.60
6.2
20.00
50%
