Calculation of Discharge by Catchment Area Method Q = where
cxM
3/4
Q=
Discharge in cumecs
c=
Constant
M=
Catchment Area in Sqkm =
Q =
=
3/4
14 x 325
14 325.000 =
1071.62 Cumecs
Calculation of Bed Slope Reduced level at
150.000
m Upstream
=
93.259
m
Reduced level at
100.000
m Downstream
=
92.983
m
=
250.000
Total Distance Slope = (
93.259
92.983 250.00
)
=
0.00100
m
Calculation of Discharge by Area Velocity Method : Cross section @ Site of crossing
MFL
= +
100.000 m
HFL
G.L
Depth of Flow
Distance
Mean Depth
Area
Perimeter
100.000
100.000
0.000
0.000
0.000
0.000
0.000
100.000
98.981
1.019
10.000
0.510
5.095
10.052
100.000
98.295
1.705
10.000
1.362
13.620
10.024
100.000
97.983
2.017
10.000
1.861
18.610
10.005
100.000
97.929
2.071
10.000
2.044
20.440
10.000
100.000
97.952
2.048
10.000
2.060
20.595
10.000
100.000
98.055
1.945
10.000
1.997
19.965
10.001
100.000
98.183
1.817
10.000
1.881
18.810
10.001
100.000
98.337
1.663
10.000
1.740
17.400
10.001
100.000
98.411
1.589
10.000
1.626
16.260
10.000
100.000
98.428
1.572
10.000
1.581
15.805
10.000
100.000
98.389
1.611
10.000
1.592
15.915
10.000
100.000
98.350
1.650
10.000
1.631
16.305
10.000
100.000
98.054
1.946
10.000
1.798
17.980
10.004
100.000
97.538
2.462
10.000
2.204
22.040
10.013
100.000
96.909
3.091
10.000
2.777
27.765
10.020
100.000
96.388
3.612
10.000
3.351
33.515
10.014
100.000
95.101
4.899
10.000
4.256
42.555
10.082
100.000
94.227
5.773
10.000
5.336
53.360
10.038
100.000
93.295
6.705
10.000
6.239
62.390
10.043
100.000
93.351
6.649
10.000
6.677
66.770
10.000
100.000
94.116
5.884
10.000
6.267
62.665
10.029
100.000
94.837
5.163
10.000
5.524
55.235
10.026
100.000
95.683
4.317
10.000
4.740
47.400
10.036
100.000
96.541
3.459
10.000
3.888
38.880
10.037
100.000
97.453
2.547
10.000
3.003
30.030
10.042
100.000
98.365
1.635
10.000
2.091
20.910
10.042
100.000
99.277
0.723
10.000
1.179
11.790
10.042
100.000
100.000
0.000
10.000
0.361
3.615
10.026
795.720
280.577
Mean Radius, R = A / P = Slope of drain bed, S =
795.720 280.577 0.0010
Rugosity Coefficient, n =
0.045
Velocity V = 1 / n x R
2/3
xS
1/2
=
=
2.836
1.408
m
m / sec `
Discharge, Q = A * V
=
1120.374
Cumecs
Cross section at 100m Upstream
MFL
= +
100.100 m
HFL
G.L
Depth of Flow
Distance
Mean Depth
Area
100.100
100.100
0.000
0.000
0.000
0.000
0.000
100.100
98.361
1.739
100.000
0.869
86.950
100.015
100.100
97.909
2.191
5.000
1.965
9.825
5.020
100.100
96.478
3.622
5.000
2.906
14.533
5.201
100.100
94.345
5.755
5.000
4.689
23.443
5.436
100.100
93.276
6.824
5.000
6.290
31.448
5.113
100.100
94.325
5.775
5.000
6.299
31.498
5.109
100.100
95.444
4.656
5.000
5.215
26.078
5.124
100.100
97.926
2.174
5.000
3.415
17.075
5.582
100.100
98.427
1.673
5.000
1.923
9.617
5.025
100.100
100.100
0.000
100.000
0.836
83.650
100.014
334.115
241.639
Mean Radius, R = A / P =
334.115 241.639 0.0010
Slope of drain bed, S = Rugosity Coefficient, n = Velocity V = 1 / n x R Discharge, Q = A * V
2/3
1.383
0.045 xS
=
1/2
= 291.348
0.872 Cumecs
m / sec
Perimeter
m
Cross section at 100m Downstream
MFL
=
99.900
m
HFL
G.L
Depth of Flow
Distance
Mean Depth
Area
99.900
99.900
0.000
0.000
0.000
0.000
0.000
99.900
96.985
2.915
100.000
1.458
145.750
100.042
99.900
95.235
4.665
5.000
3.790
18.950
5.297
99.900
94.866
5.034
5.000
4.850
24.248
5.014
99.900
93.434
6.466
5.000
5.750
28.750
5.201
99.900
92.983
6.917
5.000
6.692
33.458
5.020
99.900
93.399
6.501
5.000
6.709
33.545
5.017
99.900
94.883
5.017
5.000
5.759
28.795
5.216
99.900
95.323
4.577
5.000
4.797
23.985
5.019
99.900
97.015
2.885
5.000
4.676
23.378
6.150
99.900
98.960
0.940
5.000
1.913
9.563
5.365
99.900
99.900
0.000
100.000
0.470
47.000
100.004
417.420
247.346
Mean Radius, R = A / P = Slope of drain bed, S =
417.420 247.346 0.0010
Rugosity Coefficient, n =
0.045
Velocity V = 1 / n x R Discharge, Q = A * V
2/3
xS
=
1/2
= 415.750
=
1.688
0.996
m / sec
Cumecs
Perimeter
m
SUMMARY OF DISCHARGE S.No
Location
HFL (m)
Discharge
1
100m U/ S
100.100
291.348
2
Site of crossing
100.000
1120.374 Cumecs
3
100 m D/S
99.900
415.750
Cumecs
Cumecs
Design Discharge The Discharge obtained from Area velocity method at upstream, site of crossing and downstream are mentioned above. The Discharge obtained from Catchment area is =
1071.62
Cumecs.
Hence, the design di shcarge is consi dered as =
1120.37
Cumecs
Calculation of Linear Water way Discharge
Q =
HFL =
100.000 m
Sil l l ev el =
Afflux (x)=
Cumecs
1.408
m / Sec
93.500
Velocity of flow Depth of flow
1120.374
= d =
0.15
Head due to Afflux ha
100 - 93.5
=
6.500
m ( Assumed) V2 d2] / [(d+x)2 * 2 * 9.81]
= =
( 1.408 ^ 2 ) x ( 6.5 ^ 2 ) ( 6.5 + 0.15 ) ^ 2 x ( 2 x 9.81 )
=
0.097
Combined Head (ha + x) = Velocity through vents Vv
m
0.15+ 0.097 =
0.9 x SQRT { 2 x 9.81 x ( 0.247 ) }
=
1.981
Linear Water Way = Q / (Vv * d)
Skew Angle is = Linear water way in skew is =
0.247
0.9 v [2*g*(ha+x)]
=
=
PROVIDE LWW =
m
=
0
m / Sec 1120.374 ( 1.981 x 6.5 )
=
87.009
o
87.009
SAY
80 as per site condition
87.000
m
m
CALCULATION OF SCOUR DEPTH Normal Scour Depth HFL =
100.000 m
Sill lev el =
93.500
Db =
Q/L =
dsm
1.34 * (Db / ksf) 1/3
=
Silt factor dsm
ksf
1120.37 80.00
=
=
12.878
m
2.00 1.34 x
Normal Scour Depth
=
=
=
( 12.878 ^ 2 / 2 )
d sm
=
5.835
m
5.835
m below HFL
3.890
m
Pier Max Scour Depth =
2.0xdsm =
Grip length =
( 1 / 3 ) x 11.67 =
11.670
Max Scour Depth including grip length Foundation Level = =
=
m
11.67 + 3.89
Say
=
15.560
m
9.880
m
HFL - Max Scour Depth including grip length 100 - 15.56 =
Depth below sill level=
=
84.440
m
84.400
m
9.100
m
2.470
m
Sill level - Foundation Level 93.5 - 84.4 =
ABUTMENT Max Scour Depth =
1.27xd sm=
Grip length =
( 1 / 3 ) x 7.41 =
7.410
Max Scour Depth including grip length Foundation level
=
=
=
7.41 + 2.47 =
HFL - Max Scour Depth including grip length 100 - 9.88
= Say
Depth below sill level= =
m
90.120 90.100
m m
3.400
m
Sill level - Foundation Level 93.5 - 90.1
=
Soft Rock is availble at shallow depth of 1.0m below sill Propose OPEN FOUNDATION with 1.5 m embedment in soft rock FOUNDATION LEVEL93.5 - 2.5
=
91.000
m
SPAN ARRANGEMENT Linear W ater way requried in normal direction Economical span = =
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