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8/8/2019 Check Dam Prog
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1.0 Name of Village Surauli Bujurg
2.0 Name of Block Sumerpur
3.0 Name of District Hamirpur
4.0 Name of river /nalla Baredi Nala
5.0 Catchment Area 12 Sq.Km.
6.0 Nature of Catchment Average
7.0 Average annual rainfall 1000 mm
8.0 Bed level of river 98.4 M
9.0 Height of crest 2.15 M
10.0 Ground Level of left Bank 102.93 M
11.0 Ground Level of right Bank 100.95 M
12.0 Bed width of river/nalla 5.70 M
13.0 Top width of river/nalla 12.00 M14.0 Bed slope of river/nalla 0.66 M/Km.
15.0 H.F.L. of river/nalla 101.9 M
16.0 Discharge factor 14
17.0 Manning's rugosity coefficient 0.03
18.0 Silt factor 1
19.0 Exit gradient 0.167
20.0 Specific gravity of concrete 2.24
21.0 X-Sectional area at H.F.L. 32.74 M
22.0 Wetted Perimeter at H.F.L. 16.80 M
6.31
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WIDTH OF CREST 1.250 FALSE M
PROVIDE WIDTH OF CREST 1.250 M
Total waterway 14.000 M
14.000 MCheck Dam
ENTER TRIAL VALUE OF D2 - 2.88O.K.
VALUE OF D1 CORRESPONDING D2 0.80
PROVIDE LE
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1.00
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Design of Check Dam
Data :
Name of Village Surauli Bujurg
Name of Block Sumerpur
Name of District Hamirpur
Name of river /nalla Baredi Nala
Catchment Area 12.00 Sq.K
Nature of Catchment Average
Average annual rainfall 1000 MM
Bed level of river 98.395 M
Height of crest 2.15 M
Ground Level of left Bank 102.930 M
Ground Level of right Bank 100.950 M
Bed width of river/nalla 5.70 M
Top width of river/nalla 12.00 M
Bed slope of river/nalla 0.66 M/KmH.F.L. of river/nalla 101.895 M
Discharge factor 14
Manning's rugosity coefficient 0.03
Silt factor 1
Exit gradient 0.17
Specific gravity of concrete 2.24
X-Sectional area at H.F.L. 32.740
Wetted Perimeter at H.F.L. 16.800
A Yield from Catchment
Design rainfall at 60 percent dependability
= 1000 60 100 600 mm
Catchment Type - 2 Average
From Strange's Table,
For Design rain fall = 600 mm,
Rainfal Yield = 14.69 %
Yield/Sq.Km.= 0.6 14.69 100 = 0.09 MCM
Yield From The Catchment = 12.00 0.09 = 1.06 MCM
B. Design Flood Discharge
As per Dicken's formula
= 14 12.00 = 90.26 cumec
As per Manning's Equation
1/N = 1 0.03 = 40
A = 32.740
P = 16.800
R = A/P = 32.740 16.800 = 1.95
1.95 = 1.560.00066 = 0.03
H Q 40 32 740 1 56 0 03 53 12
Q = C A 3/4
Q = (1/N) A (R)2/3 S1/2
R2/3 =S1/2 =
x / =
x /x
x ( )3/4
/
/
2/3( )1/2( )
x
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Design of Check Dam
Hence, adopt maximum of two i.e. 90.26 Cumec
C. Water Way
Hence, L = 4.83 90.26 = 45.89 m
As the top width of river at crest level = 12.00 m
Adopt length of crest = top width of river at crest + 1 m on each bank
= 12.00 2.00 14.00 m
Hence , Length of crest = 14.00 m
D. Scour Depth
Where,
q = Discharge per unit length = Q/L
90.26 14.00 = 6.45 cumec
f = silt factor = 1
Thus, R = 1.35 6.45 1.00 4.68 m
Design Scour Depth = 1.5 x R = 7.020 m
H.F.L. before construction of check dam - 101.895 mPermissible afflux = 1.00 m
Thus, u.s. H.F.L. = H.F.L. + afflux =
101.895 1.00 102.895 m
Velocity of approach = q / R = 6.45 4.68 1.38 m/s
= 1.38 1.38 9.81 0.10m
u/s T.E.L. = u/s H.F.L + velocity head = 102.895 0.1 102.995
d/s T.E.L. = d/s H.F.L. + velocity head= 101.895 0.1 101.995
Crest Level of Check dam = 100.545 m
Head over crest = 102.995 100.545 = 2.450 m
Head Loss (HL) = u/s T.E.L - d/s T.E.L. = 102.995 101.995 1
For broad crested weir, discharge passing over crest
Q =Cd x L x H 3/2
1.71 14.00 2.450 91.54 cumec > 90
Hence the assumed waterway and the crest level is in order.
Assuming free board = 0.50 m
Top of Bund Level (TBL) = 102.995 0.50 = 103.
E. Shape of crest
Adopt , Top width ; 1.25m
u/s slope ; 1 : 8
Waterway as per Lacey's, L = 4.83 x Q 1/2
) 1/2
Scour Depth, R = 1.35 x ( q2 / f )1/3
Velocity head = V2 / 2g
3/2
x ( 2 / ) 1/3 =
/
x (
+
+ =
+ =
/ =
/ ( 2 xx ) =
+ =
+
- =
-
=x
x=
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Design of Check Dam
F. Depth of Cistern
Depth of cistern = dc/3
Where, dc = 6.45 9.81 1Hence, Depth of cistern = 1.62 3.0 0
But limiting depth of cistern = 0.50 m
Hence, Provide depth of cistern = 0.50 m
G. Level and Length of Downstream floor
u.s. Bed level = 98.395m
d.s. Bed level = 98.395m
Here for ,
q = 6.45 cumec/m
and 1.00 mFrom Blench curve, Ef2 = 3.14
R.L. of d/s floor = d/s H.F.L. -Ef2
101.895 3.14 98.755 m
Adopt cistern level = 98.395m
3.14 1.00 4.14 m
Values of D1 & D2 corresponding to Ef1 & Ef2,
D1 = 0.80 m
D2 = 2.88 m
Cistern length required = 5 (D2 - D1)
2.88 0.80 10.40 m
= 3.8 x 1.619 0.42 1.00 = 7.57 m
Hence, provide length of cistern = 10.40m
Say - 10.40 m
H. Vertical Cut-offs
normal scour depth, R = 4
Below Bed Level = 4.68 102.895 98.395 0.
(I) Depth of u/s cut-off:as per scour depth consideration = 1.1 R 5.
Below Bed Level = 5.148 102.895 98.395 0.
as per water depth consideration =
Depth of u/s cutoff, d1 = d/3 + 0.60
4.50 2
Provide, 0.5 m wide and 2.10 m deep cutoff.
R.L. of bottom of cut-off = 98.395 2.10 96.
(II) Depth of d/s cut-off:
as per scour depth consideration = 1.25R 5.85m
Below Bed Level = 5.850 101.895 98.395 2.
as per water depth consideration =Depth of d/s cutoff, d2 = d/2 + 0.60
3 50 2 35 m
(q2
/g)1/3
HL =
Again Ef1 = Ef2 + HL
Lp= 3.8 x dc + 0.415 + H
L
2
/ )1/3
== (/ =
- ==
= +
= 5 x( - ) =
= / 3 + 0.60
/ 2 + 0 60
- ( - ) =
- ( - ) =
- ( - ) =
- =
+ +
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100.545 98.395 2.150 m
Design of Check Dam
Hence, provide d/s cutoff of 0.5 m wide & 2.35 m dee
R.L. of bottom of cut-off = 98.395 2.35 96.
I. Total Floor Length and Exit Gradient
u.s. F.S.L. = 100.545 m
d.s. Floor level = 98.395 m
Max. static head (Hs) = 100.545 98.395 2.15 m
Depth of d/s cut-off, d2 = 2.35 m
Now, GE = (1 / ).Hs / d2
(1/) = GE.d2/Hs
Here,
GE = 0.167
(1/) = 0.167 2.35 2.15 0.18
From Khosla,s curve, = 5.02 m
say - 5.00 m
Total floor length required = d2
5.00 2.35 11.75 m
Provide Total floor length, b = 11.80m
Width of crest = 1.25 m
slope of u/s face 1 :
slope of d/s face 1 :
The length will be provided as under :
Length below the toe of weir = 10.40 m
Length of d/s weir =
0.33 101.895 98.395 1.170 m
Width of crest = 1.25 m
Length of u/s weir =
0.13 101.895 98.395 0.440 m
u/s floor balance = -1.020m
Provide u/s floor length = 1.800 m
Hence, Total floor length provided = 15.060 m
Assume u/s floor thickness near cut-off = 0.60 m
Assume d/s floor thickness near cut-off = 0.60 m
L. Pressure calculation
(i) Upstream cutoff
d1 = 2.10 m
b = 15.060m
= b/d1 7.17
4.12
Y = (-1)/ 0.76
12.90
87.10%
18.79
81.21%5.89%
C ti i 1 f d th 1 68%
=(1+1+2)/2
D = 1/cos-1(Y)
D1 =
100 -D
E = 1/cos-1((-2)/)
C1 =100 -ED1
-c1
=
= - =
- =
- =
x( ) / =
= x =
= x ( - ) =
= x ( - ) =
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Design of Check Dam
(ii) Downstream cutoff
d = 2.35 m
b = 15.060 m
= b/d1 6.41
3.74
Y = (-1)/ 0.73
13.72
19.82
D2 - E2 = -6.10 % (-)ve
Correction in E2 for depth = -1.557% (-)ve
Corrected E2 =E2 + correction 18.26%
(iii)Toe of glacis
pressure = E2+((c1-E2)xLp/b) 75.22 %
M. Impervious floor thickness
u/s floor:
Floor thickness in u/s 0.60 m
(ii) Next point of unbalanced head from the downward end =
2.60
% pressure = 32.50 %
Thickness required = 0.56 m
Provide thickness 0.60 m
(iii)Next point of unbalanced head from the downward end =
5.20 m
% pressure = 46.74 %
Thickness required = 0.81 m
Provide thickness 0.90 m
(iv) Next point of unbalanced head from the downward end =
7.80 m
% pressure = 60.98 %
Thickness required = 1.06 m
Provide thickness 1.10 m (v) At the toe of weir:
Next point of unbalanced head from the downward end =
10.40 m
% pressure = 75.22 %
Thickness required = 1.30 m
Provide thickness 1.30 m
Design of Check Dam
N. U/S protection
U/s scour depth, R 4.68 m
Anticipated scour = 1.5 R = 1.5 4.68 7.02 m
U/s scour level = 102.895 -7.020 = 95.875 m
=(1+1+2)/2
D2 = 1/cos-1(Y)
E2 = 1/cos-1((-2)/)
x =
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98.395 -95.875 = 2.520 m
(i) Block protection
volume = d1 2.52 cum./
Thickness of protection = 1.20 m
Length of protection = 2.52 1.20 2.10 m
Length of block = 0.80 mNos. of row = 2.10 0.80 2.63
say- 3.00
Length to be provided = 3.00 0.80 2.40 m
Hence Provide 1.20 m thick and 2.40 m long
block protection.
(ii) Lanching apron.
volume = 2.25xd1
2.25 2.52 5.67 cum./
Thickness of protection = 1.20 m
Length of protection = 4.73 m
Hence Provide 1.20 m thick and 5.00 m long
launching apron.
O. d/S protection
D/s scour depth, R 4.68 m
Anticipated scour = 2 R = 2.0 4.68 9.36 m
d/s scour level = 101.895 -9.360 = 92.535 m
Scour depth 'D' below d/s floor =
98.395 -92.535 = 5.860 m
(i) (a) Inverted filter
Volume = d2 5.86 cum./
Thickness of protection = 1.2 m
Design Length = 5.86 1.2 5.00 m
Minimum Length required = 5.90m
Length of block with 100 mm thick jhirri filled with bajri = 0.90
Nos. of row = 5.90 / 0.90 = 6.56
Say- 7
Hence provide length of filter = 6.20m
(i) (b) Toe wall of concrete at the end of filter:width = 0.40 m
depth = 1.2 + 0.30 = 1.50 m
(ii) Luanching apron
Volume = 2.25 d2
2.25 5.86 13.19 cum./
Design of Check Dam
Minimum Length = 1.5D
1.50 5.86 8.79 m
Design Thickness = 13.19 8.79 1.50 mProvide- 1.50 m
Length of launching apron =
Provide 0.8 m x 0.8 m x 0.6 m C.C. block over 600 mm thick invertedfilter.
Provide 0.8 m x 0.8 m x 0.6 m C.C. block over 600 mm thickinverted filter.
/ =
/ =
x
= x =
x =
/ =
= x =
= x =
/ =
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say- 8.80 m
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m
m
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m
m
m
m
m
m
m
m
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m
8
3
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###
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Design of Check Dam
STABILITY CHECK FOR BODY WALL
Case 1. Empty Condition
No.
Particulars
Force L.A.Toe MomentL D Density Constant
W1 1.25 2.15 1.90 5.110 1.8 9.172W2 0.440 2.15 1.90 0.50 0.900 2.567 2.310
W3 1.170 2.15 1.90 0.50 2.390 0.780 1.864
PV = 8.400
H = 0 M = 13.35
Factor of safety against rupture from tension
Excess Moment, Me = M1 -M2 = 13.35 0 = 13.35 T-M
V = Total Vertical Force = 8.400 T
X = Me / V = 13.35 8.400 = 1.59 m
e = Eccentricity = b/2 - X = 2.860 1.59 = -0.16 mb/ 6 = 2.860 6 = 0.48 m
e < b/6, Hence safe.
Factor of safety against Compression or crushing
Pmax = [V / b] [1+6e/b]
Here, [1+6e/b] = 1 -0.16 2.86 0.66 T/m2
V / b = 8.400 2.86 = 2.94
Pmax = 2.94 0.66 = 1.94 T/m2 < 300, Hence safe.
Pmin = [V / b] [1-6e/b]
Here, [1-6e/b] = 1 -0.16 2.86 1.34 T/m2Pmin = 2.94 1.34 = 3.940 T/m2 < 300, Hence safe.
b
W3
(b-a-c)ac
W1
W2
H
FSL
1:3
1:8
-
/
/ 2 -/
[+ 6 x / ] =
x
[ - 6 x ] =/
/
x
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Design of Check Dam
Case 2. FSL Condition
No.
Particulars
Force L.A.Toe MomentL D Density Constant
W1 1.250 2.15 1.90 5.110 1.795 9.172
W2 0.440 2.15 1.90 0.50 0.900 2.567 2.310
W3 1.170 2.15 1.90 0.50 2.390 0.780 1.864
P 2.150 2.15 1.00 0.50 2.310 0.720 1.663
U 2.860 2.15 1.00 0.50 3.070 1.910 5.864V = 5.330 M1 = 13.346H = 2.310 M2 = 7.527
Factor of safety against overturning
Restoring Moment, M1 = 13.35 T-m
Overturnig moment, M2 = 7.53 T-m
FOS = M1 / M2 = 13.35 7.53 = 1.77
> 1, Hence safe.
Factor of safety against rupture from tension
Excess Moment, Me = M1 -M2 = 13.35 7.53 = 5.82 T-M
V = Total Vertical Force = 5.330 T
X = Me / V = 5.82 5.33 = 1.09 m
e = Eccentricity = b/2 - X = 2.86 1.09 = 0.34 m
b/ 6 2 86 6 0 48
HbU
P
b
(b-a-c)ac
W1
W2
H
FSL
1:31:8
-
// 2 -/
/
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Design of Check Dam
Factor of safety against Compression or crushing
Pmax = [V / b] [1+6e/b]
Here, [1+6e/b] = 1 0.34 2.86 1.71V / b = 5.330 2.86 = 1.86
Pmax = 1.86 1.71 = 3.18 T/m2 < 300, Hence safe.
Pmin = [V / b] [1-6e/b]
Here, [1-6e/b] = 1 0.34 2.86 0.29
Pmin = 1.86 0.29 = 0.54 T/m2 < 300, Hence safe.
Factor of safety against Sliding
= Coefficient of sliding = 0.67
FOS sliding = V/H = 0.67 5.33 2.31 1.55> 1, Hence safe.
Case 2. Afflux HFL Condition
[+ 6 x / ] =
x
[- 6 x ] =/
/
x
/x =
b
(b-a-c)ac
W1
W2
H b
HFL
1:31:8
(Hb + H +h) U 1U 2
(Hb + H )
W3
W4
W5
P1
P2
P3
P4
H(H+h) w7
w6w8
Afflux HFL
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Design of Check Dam
No.
Particulars
Force L.A.Toe MomentL D Density Constant
W1 1.250 2.150 1.90 5.110 1.795 9.172
W2 0.440 2.150 1.90 0.50 0.900 2.567 2.310
W3 1.170 2.150 1.90 0.50 2.390 0.780 1.864
W4 1.170 2.150 1.00 0.50 1.260 0.390 0.491
W5 0.440 2.150 1.00 0.50 0.470 2.713 1.275
W6 1.170 1.350 1.00 1.580 0.585 0.924
W7 1.250 2.350 1.00 2.940 1.795 5.277
W8 0.440 2.350 1.00 1.030 2.640 2.719
P1 2.350 2.150 1.00 5.050 1.075 5.429
P2 2.150 2.150 1.00 0.50 2.310 0.717 1.656P3 1.350 2.150 1.00 2.900 1.075 3.118
P4 2.150 2.150 1.00 0.50 2.310 0.720 1.663
U1 2.860 4.500 1.00 0.50 6.440 1.910 12.300
U2 2.860 3.500 1.00 0.50 5.010 0.950 4.760V = 4.230 M1 = 6.972
H = 2.150 M2 = 2.304
Factor of safety against overturning
Restoring Moment, M1 = 6.972 T-m
Overturnig moment, M2 = 2.304 T-m
FOS = M1 / M2 = 6.97 2.3 = 3.030
> 1, Hence safe.
Factor of safety against rupture from tension
Excess Moment, Me = M1 -M2 = 6.97 2.3 = 4.67 T-M
V = Total Vertical Force = 4.23 T
X = Me / V = 4.67 4.23 = 1.10 m
e = Eccentricity = b/2 - X = 2.86 1.10 = 0.33 m
b/ 6 = 2.86 6 = 0.48 m
e < b/6, Hence safe.
Factor of safety against Compression or crushing
Pmax = [V / b] [1+6e/b]
Here, [1+6e/b] = 1 0.33 2.86 1.69
V / b = 4.23 2.86 = 1.48
Pmax = 1.48 1.69 = 2.5 T/m2 < 300, Hence safe.
Pmin = [V / b] [1-6e/b]
Here, [1-6e/b] = 1 0.33 2.86 0.31
Pmin = 1.48 0.31 = 0.46 T/m2
Factor of safety against Sliding
= Coefficient of sliding = 0.67
FOS sliding = V/H = 0.67 4.23 2.15 1.32
-
// 2 -/
/
[+ 6 x / ] =
x
[- 6 x ] =/
/
x
/x =
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Design of Check DamDESIGN AND STABILITY CHECK FOR ABUTMENT
Case 1 : Simply check dam
(A) Height of abutment ; H = 103.5 98.245 5.25 m
Base width of abutment, b = 0.75 H = 0.70 5.25 3.680 m
Top width of abutment, a = 0.69 m
C = 0.44 m
Z = 2.300 m
Y = 2.950 m
(b-a) = 2.990 m
c = 0.44 m
No.
Particulars
Force L.A.Toe MomentL D Density Constant
W1 0.438 5.250 1.90 0.50 2.180 0.292 0.637
W2 0.690 5.250 1.90 6.880 0.783 5.387
W3 2.990 5.250 1.90 0.50 14.910 2.125 31.684
W4 1.680 2.950 1.75 0.50 4.340 2.248 9.756
W5 1.310 2.950 1.75 6.760 3.463 23.410
W6 1.310 2.300 2.00 0.50 3.010 2.553 7.685
U 3.680 2.300 1.00 0.50 -4.230 2.453 -10.376
P4 2.950 2.950 1.75 0.165 2.510 3.283 8.240
=x =
H
b
W2
W3
(b-a)a
W1
FSL
P4
TBL
-
W4
cA
U Z
P1
P2 P3
W5
W6
Z
Y
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P2 2.300 2.300 1.00 0.165 0.870 0.767 0.667
P3 2.300 2.300 1.00 0.50 2.650 0.767 2.032V = 33.850 MR = 68.183
H = 9.950 Mo = 15.447
Design of Check Dam
Factor of safety against overturning
Restoring Moment, M1 = 68.183 T-m
Overturnig moment, M2 = 15.447 T-m
FOS = M1 / M2 = 68.18 15.45 = 4.41
> 1, Hence safe.
Factor of safety against rupture from tension
Excess Moment, Me = M1 -M2 = 68.18 15.45 = 52.74 T-M
V = Total Vertical Force = 33.85 T
X = Me / V = 52.74 33.85 = 1.56 m
e = Eccentricity = b/2 - X = 3.68 1.56 = 0.28 m
b/ 6 = 3.68 6 = 0.61 m
e < b/6, Hence safe.
Factor of safety against Compression or crushing
Pmax = [V / b] [1+6e/b]
Here, [1+6e/b] = 1 0.28 3.68 1.46
V / b = 33.85 3.68 = 9.2
Pmax = 9.2 1.46 = 13.43 T/m2 < 300, Hence safe.
Pmin = [V / b] [1-6e/b]
Here, [1-6e/b] = 1 0.28 3.68 0.54
Pmin = 9.2 0.54 = 4.97 T/m2
Factor of safety against Sliding
= Coefficient of sliding = 0.67
FOS sliding = V/H = 0.67 33.85 9.95 2.28
> 1, Hence safe.
-
// 2 -/
/
[+ 6 x / ] =
x
[- 6 x ] =/
/
x
/x =
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Design of Check DamDesign of Downstream wing wall
1.0 Data
Top of wing wall = 102.495 m
Junction level of the wingwall with concrete = 98.245 m
Height of wing wall = 4.250 m
Pond level = 100.545 m
Foundation level = 97.095 m
2.0 Condition of testing
The wing wall setion shall be tested at the junction level and the foundation level for the following conditions.
3.0 Tentative section of wing wall
Front face batter = 1 : 12
Top width of wing wall = 0.50 m
Base width of junction with concrete = 0.6 H
= 2.55 m
Base with of foundation level = 2.550 1.200 3.75 m
a = 0.50 m
Here, b = 2.55 m
d = 0.35 m
c = 1.700 mH = 4.250 m
Z = 2.300 m
" No water on the front of face and earth fill saturated upto the pond level and wet between pond level and topwing wall."
+
=
U
b
c
W2
W5
P1
P2P3
P4
W3W1
W4
a
H
Y
Z
W6
X
W7
A
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Density of masonary 1.90 T/m3
Density of wet earth = 1.75 T/m3
Density of saturated earth = 2.00 T/m3
Cp = 0.33
Density of water = 1.00 T/m3
Density of concrete = 2.40 T/m3
Design of Check Dam
No.
Particulars Force
L.A.Toe MomentL D Density Constant V H
W1 0.350 4.250 1.900 0.500 1.410 - 0.117 0.
W2 0.500 4.250 1.900 4.040 - 0.600 2.4
W3 1.700 4.250 1.900 0.500 6.860 - 1.417 9.
W4 1.700 2.300 2.000 0.500 3.910 - 1.983 7.
W5 0.558 1.125 1.750 0.500 0.550 - 1.222 0.
W6 1.142 1.125 1.750 2.250 - 1.979 4.4
W7 1.700 0.825 1.750 2.450 - 1.700 4.
U 2.550 2.300 1.000 0.500 -2.930 - 1.700 -4.
P4 0.825 0.825 1.750 0.165 - 0.200 2.950 0.
P1 0.825 2.300 1.750 0.330 - 1.100 1.150 1.2
P2 2.300 2.300 1.000 0.165 - 0.870 0.767 0.
P3 2.300 2.300 1.000 0.500 - 2.650 0.767 2.V = 18.540 MR = 24.
H = 4.820 Mo = 4.
Factor of safety against overturning
Restoring Moment, M1 = 24.373 T-mOverturnig moment, M2 = 4.555 T-m
FOS = M1 / M2 = 24.37 4.56 = 5.35
> 1.5, Hence safe.
Factor of safety against rupture from tension
Excess Moment, Me = M1 -M2 = 24.3730 4.5550 = 19.82 T-M
V = Total Vertical Force = 18.54 T
X = Me / V = 19.82 18.54 = 1.07 m
e = Eccentricity = b/2 - X = 2.55 1.07 = 0.21 m
b/ 6 = 2.55 6 = 0.43 m
e < b/6, Hence safe.
Factor of safety against Compression or crushing
Pmax = [V / b] [1+6e/b]
Here, [1+6e/b] = 1 0.21 2.55 1.48
V / b = 18.54 2.55 = 7.27
Pmax = 7.27 1.48 = 10.76 T/m2 < 100, Hence safe.
Pmin = [V / b] [1-6e/b]
Here, [1-6e/b] = 1 0.21 2.55 0.52
Pmin = 7.27 0.52 = 3.78 T/m2 < 10, Hence safe.
Factor of safety against Sliding
= Coefficient of sliding = 0.65
FOS sliding = V/H = 0.65 18.54 4.82 2.5
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// 2 -/
/
[ + 6 x / ] =
x
[ - 6 x ] =/
/
x
/x =
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Design of Check Dam
(ii) Checking Stability of wing wall section at foundation level.
Parameters -
a = 0.50 m Z' = 0.450 m
b = 3.75 m Z= 2.300 m
c = 2.05 m Y = 1.125 m
d = 0.60 m X = 0.825 m
e = 0.60 m Z+Z' = 2.750 m
Density of masonary 1.90 T/m3
Density of wet earth = 1.75 T/m3
Density of saturated earth = 2.00 T/m3
Cp = 0.33Density of water = 1.00 T/m3
Density of concrete = 2.40 T/m3
P1
P2P3
P4
W3W1
W4
aa
Z
Y
W6
X
W7
A
a c
b
e
d
Z'
H
W2
W5
UZ+Z'
W8
W9
W10
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Design of Check Dam
No.
Particulars Force
L.A.Toe MomentL D Density Constant V H
W1 0.350 4.250 1.900 0.50 1.410 - 0.717 1.
W2 0.500 4.250 1.900 0.00 4.040 - 1.200 4.
W3 1.700 4.250 1.900 0.50 6.860 - 2.017 13.
W4 1.700 2.300 2.000 0.50 3.910 - 2.583 10.
W5 0.558 1.125 1.750 0.50 0.550 - 1.822 1.W6 1.142 1.125 1.750 - 2.250 - 2.579 5.
W7 1.700 0.825 1.750 - 2.450 - 2.300 5.
W8 0.600 1.950 1.750 - 2.050 - 3.800 7.
W9 0.600 2.300 1.750 - 2.420 - 3.800 9.
W10 3.750 0.450 2.400 - 4.050 - 1.875 7.
U 3.750 2.750 1.000 0.50 -5.160 - 2.500 -12.
P4 0.825 0.825 1.750 0.17 - 0.200 3.400 0.
P1 0.825 2.300 1.750 0.33 - 1.100 1.600 1.
P2 2.300 2.300 1.000 0.17 - 0.870 1.217 1.
P3 2.300 2.300 1.000 0.50 - 2.650 1.217 3.2V = 24.830 MR = 53.
H = 4.820 Mo = 6.
Factor of safety against overturning
Restoring Moment, M1 = 53.916 T-m
Overturnig moment, M2 = 6.724 T-m
FOS = M1 / M2 = 53.916 / 6.724 = 8.018
> 1.5, Hence safe.
Factor of safety against rupture from tension
Excess Moment, Me = M1 -M2 = 53.916 6.724 = 47.192 T-m
V = Total Vertical Force = 24.830 T
X = Me / V = 47.192 / 24.830 = 1.9 m
e = Eccentricity = b/2 - X = 3.75 1.9 = -0.03 m
b/ 6 = 3.75 / 6 = 0.63 m
e < b/6, Hence no tension will develop at the base.
Factor of safety against Compression or crushing
Pmax = [V / b] [1+6e/b]
Here, [1+6e/b] = -0.03 3.75 0.96
V / b = 24.83 / 3.75 = 6.62
Pmax = 6.62 x 0.96 6.34 T/m2 < 30, Hence safe.
Pmin = [V / b] [1-6e/b]Here, [1-6e/b] = -0.03 3.75 1.04
Pmin = 6 62 x 1 04 6 9 T/m2 < 10 Hence safe
-
/ 2 -
[1+ 6 x / ] =
=
[1+ 6 x
[ 1 - 6 x / ] =
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Designed and developed by Er. Rajeev Kumar, Executive Engineer, Irrigation Department of U.P.
1 of 3
Design of Check Dam
Data :
Name of Village : Surauli BujurgName of Block : Sumerpur
Name of District : Hamirpur
Name of river /nalla : Baredi Nala
Catchment Area : 12.00 Sq.Km.
Nature of Catchment : Average
Average annual rainfall : 1000.00 MM
Bed level of river : 98.40 M
Height of crest : 2.15 M
Ground Level of left Bank : 102.93 M
Ground Level of right Bank : 100.95 MBed width of river/nalla : 5.70 M
Top width of river/nalla : 12.00 M
Bed slope of river/nalla : 0.66 M/Km.
H.F.L. of river/nalla : 101.90 M
Discharge factor : 14.00
Manning's rugosity coefficient : 0.03
Silt factor : 1.00
Exit gradient : 0.17
Specific gravity of concrete : 2.24
X-Sectional area at H.F.L. : 32.74
Wetted Perimeter at H.F.L. : 16.80
Design Report :1.0 Design Flood Discharge : 90.26 cumec
2.0 Water Way : 45.89 m
3.0 Length of crest adopted : 14.00m
4.0 Normal Scour Depth : 4.68 m
5.0 u/s T.E.L. : 103 m
6.0 d/s T.E.L. : 102 m
7.0 Crest Level of Check dam = : 100.55 m
8.0 Head over crest = : 2.45 m
9.0 Discharge passing over crest : 91.54 cumec
10.0 Top of Bund Level (TBL) = : 103.5m
11.0 Shape of crest
Top width ; 1.25 m
u/s slope ; 1 : 8
d/s slope ; 1 : 3
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Designed and developed by Er. Rajeev Kumar, Executive Engineer, Irrigation Department of U.P.
2 of 3
Design of Check Dam
11.0 Cistern Level : 98.4m12.0 Length of cistern : 10.40m
13.0 R.L. of bottom of u/s cut-off (0.50 m) : 96.3m
14.0 R.L. of bottom of d/s cut-off (0.50 m) : 96.05m
15.0 d.s. Floor level : 98.4m
16.0 u.s. floor level : 98.4m
17.0 Total Floor Length - : 15.060 m
Length below the toe of weir : 10.40m
Length of d/s weir : 1.170m
Width of crest : 1.250m
Length of u/s weir : 0.440m
u/s floor length : 1.800m18.0 Floor thickness in u/s : 0.60m
19.0 Toe of crest : #REF!m
20.0 Toe of glacis : 1.30m
21.0 2.60 m from the toe of crest : 0.60m
22.0 5.20 m from the toe of crest : 0.90m
23.0 10.40 m from the toe of crest : 1.30m
24.0 U/S protection
(i) Block protection
1.20 m thick and 2.40 m long
(ii) Lanching apron.
1.20 m thick and 5.00 m long
25.0 d/S protection
(i) Inverted filter
Provide 0.8 m x 0.8 m x 0.6 m C.C. block over 600 mm thick inverted filter.
6.20 m long.
(ii) Toe wall of concrete at the end of filter:
0.40 m wide and 1.50 m depth.
(iii) Luanching apron
1.50 m thick and 8.80 m long
26.0 Abutment
(i) Top Width of abutment ; : 0.69m
(ii) : 3.680m
Base width of Wing Wall at the foundation: 4.680
(iii)Height of abutment : 5.250m
(iv)Length of abutment : 2.860m
Provide 0.8 m x 0.8 m x 0.6 m C.C. block over 600 mm thickinverted filter.
Base width of abutment at the junction ofconcrete
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Designed and developed by Er. Rajeev Kumar, Executive Engineer, Irrigation Department of U.P.
27.0 Wing Wall
(A)D/S Wing Wall
(i) Top Width of Wing Wall ; 0.50m
3 of 3
Design of Check Dam
(ii)2.55m
(iii)Base width of Wing Wall at the foundation
3.15m
(iv) Length of wing wall 10.40 m
(B)U/S Wing Wall
(i) Top Width of Wing Wall ; 0.50m
(ii)3.15m
(iii)Base width of Wing Wall at the foundation
3.75m(iv) Length of wing wall 1.800 m
Base width of Wing Wall at the junctionof concrete
Base width of Wing Wall at the junctionof concrete
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1.43
0.63
1.17
1.8
0.44
1.07
2.86
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