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FORCES ACTING
ON GRAVITY
DAM
2/3/2014 1
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
5. Wave Pressure :
Wind blowing over the water surface in
the reservoir exerts a drag on the surface
due to which ripples and waves are
formed. The impact of these waves
Produces a pressure on the upper portion
of the dam. The magnitude of the wave
pressure mainly depends on the
dimensions of the waves which in turn
depend on the extent of water surface and
the wind velocity.
2/3/2014 2
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 3
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
hw
4
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
5/3 Hw
1/8 Hw
Pw = 2.4 YwHw
Still water
surface
5
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 6
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 7
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
Silt pressure
The weight and the pressure of the
submerged silt are to be considered in
addition to weight and pressure of water.
The weight of the silt acts vertically on the
slope and pressure horizontally, in a similar
fashion to the corresponding forces due to
water. It is recommended that the
submerged density of silt for calculating
horizontal pressure may be taken as 1360
kg/m³. Equivalently, for calculating vertical
force, the same may be taken as 1925 kg/m³.
2/3/2014 8
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 9
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
Wind Pressure :
Wind pressure is required to be consider
only on that portion of the dam structure
which is exposed to the action of wind.
Normally wind pressure is taken as 1 to
1.5 kN/m2 for the area exposed to the
wind pressure.
Wind pressure is not a significant force
and therefore, sometimes, not considered
in design of a dam.
2/3/2014 10
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
Earthquake Forces (Seismic
Forces) :
Earthquake or seismic activity is
associated with complex oscillating
patterns of acceleration and ground
motions, which generate transient
dynamic loads due to inertia of the dam
and the retained body of water.
Horizontal and vertical accelerations are
not equal, the former being of greater
intensity.
2/3/2014 11
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
The earthquake acceleration is usually
designated as a fraction of the
acceleration due to gravity and is
expressed as α⋅g, where α is the Seismic
Coefficient. The seismic coefficient
depends on various factors, like the
intensity of the earthquake, the part or
zone of the country in which the structure
is located, the elasticity of the material of
the dam and its foundation, etc.
2/3/2014 12
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
For the purpose of determining the value
of the seismic coefficient which has to be
adopted in the design of a dam, India has
been divided into five seismic zones,
depending upon the severity of the
earthquakes which may occur in different
places. A map showing these zones is
given in the Bureau of Indian Standards
code IS: 1893-2002 (Part-1) “Criteria for
earthquake resistant design of Structures
(fourth revision)”, and has been
reproduced in Figure 28.
2/3/2014 13
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
According to IS : 1893 - 2002, the design
value of horizontal seismic coefficient
(Ah) may be determined by one of the two
methods
2/3/2014 14
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
(a) Seismic coefficient
method
(b) Response spectrum
method
2/3/2014 15
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
(a) Seismic coefficient method
The total design lateral force or design
seismic base shear (VB) along any
principal direction shall be determined by
the following expression.
2/3/2014 16
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 17
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
Hydrodynamic Pressure :
Horizontal acceleration acting towards
the reservoir causes a momentary
increase ln the water pressure as the
foundation and dam accelerate towards
the reservoir and the water resists
movement owing to its inertia.
The extra pressure exerted by this process
is known as hydrodynamic pressure.
2/3/2014 18
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 19
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
According to Von
Kannan, the amount
of this hydrodynamic
pressure (Pf) is given
by :
2/3/2014 20
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 21
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 22
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 23
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014 24
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
Weight of
dam
2/3/2014 25
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
84 m
6
75
56
50
TOE
26
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
W1
84 m
6
27
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
W2
75
56
50
TOE
28
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
w1
w2
84 m
6
75
56
50
TOE
29
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
W1
W2
56
TOE
30
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
6m
2
3
2/3/2014
W1
W2
56
TOE
31
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
211
205
6m
½ * (4) *(6)
2
3
2/3 (6)
Name of
force
Designati
on
Megnitud
e of force
Lever
arm
(distance
of C.G.
from toe)
Vertical
forces
Weight of
dam
W 1 6*84*23.5*
1
(6/2) + 50
W2 0.5*50*75*
23.5
(2/3) 50
Weight of
water
Supported
on d/s
(1/2)*4*6*
10
(1/3) 4
2/3/2014 32
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
8
u3
u1
u2
u4
48
(10)(80)
10(6)
56
48
80
6
307
3
680
610
3






 





 

hdhu
hd
8
33
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
u3
u1
u2
u4
34
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
Name of
force
Designation Megnitude of
force
Lever arm
(distance of
C.G. from
toe)
Vertical forces
+Uplift forces u1 300.8*8*1 (48)+4
u2 (1/2)*8*484*1 48 + (2/3) 8
u3 48*59*1 48/2
u4 (1/2)
*48*(300.8 -
59)
(2/3)48
HORIZONTAL
FORCE
P (1/2)*784.8*80
*1
(1/3)80
P’ (1/2)*58.9*6 (1/3)6
2/3/2014 35
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
2/3/2014
(10)(80)
80/3
(10)(80)2/2
80
36
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,
Name of force Designation Megnitude of
force
Lever arm
(distance of C.G.
from toe)Vertical forces
Weight of dam W 1 6*84*23.5*1 (6/2) + 50
W2 0.5*50*75*23.5 (2/3) 50
Weight of water Supported on d/s (1/2)*4*6*10 (1/3) 4
+Uplift forces u1 300.8*8*1 (48)+4
u2 (1/2)*8*484*1 48 + (2/3) 8
u3 48*59*1 48/2
u4 (1/2) *48*(300.8 -
59)
(2/3)48
HORIZONTAL
FORCE
P (1/2)*784.8*80*1 (1/3)80
P’ (1/2)*58.9*6 (1/3)6
2/3/2014 37
PREPARED BY
V.H.KHOKHANI,ASSISTANT
PROFESSOR, DIET,

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