INTRODUCTION:
A water tank is used to store water to tide over the
daily requirement. In the construction of concrete structure for the storage of
water and other liquids the imperviousness of concrete is most essential. The
permeability of any uniform and thoroughly compacted concrete of given mix
proportions is mainly dependent on water cement ratio .The increase in water
cement ratio results in increase in the permeability .The decrease in water
cement ratio will therefore be desirable to decrease the permeability, but very
much reduced water cement ratio may cause compaction difficulties and prove to be
harmful also. Design of liquid retaining structure has to be based on the avoidance
of cracking in the concrete having regard to its tensile strength.
OBJECTIVES:
(a) To make a study about the analysis and design of
water tanks.
(b) To make a study about the guidelines for the
design of liquid retaining structure according to IS Code.
(c) To know about the design philosophy for the safe
and economical design of water tank.
INTRODUCTION TO SITE:
The project
location is situated near the second building of Institute of Technology
gopeshwar.
Fig.-Location of project
Fig.-Location of project
LITERATURE REVIEW:
The most common
type of circular tank is the one which is called an INTZE Tank. In such cases,
a domed cover is provided at top with a cylindrical and conical wall at bottom.
A ring beam will be required to support the domed roof. A ring beam is also
provided at the junction of the cylindrical and conical walls. The conical wall
and the tank floor are supported on a ring girder which is supported on a
number of columns.
Usually a domed
floor is shown in fig a result of which the ring girder supported on the
columns will be relieved from the horizontal thrusts as the horizontal thrusts
of the conical wall and the domed floor act in opposite direction.
Sometimes, a
vertical hollow shaft may be provided which may be supported on the domed
floor.
WATER TANK:
DEFINITION:
Circular tanks with flat
bottom as well as with domical bottom. In the flat bottom, the thickness and
reinforcement is found to be heavy. In the domed bottom, though the thickness
and reinforcement in the dome is normal, the reinforcement in the ring beam is
excessive. In case of larger diameter tanks, an economical alternative would be
to reduce its diameter at its bottom by conical dome, such a tank is known as INTZE
tank and is very commonly used.
SOURCES OF WATER SUPPLY:
The various sources of water can be classified into
two categories:
I. Surface
sources, such as
a. Ponds
and lakes;
b. Streams
and rivers;
c. Storage
reservoir
d. Oceans,
generally not used for water supplies, at present.
II. Sub-surface
sources or underground sources, such as
a.Springs;
b.Infiltration wells; and
c.Wells and Tube-wells.
TYPES OF WATER TANK:
1) Classification based on under three heads:
i. Tanks
resting on ground
ii. Elevated
tanks supported on staging
iii. Underground tanks.
2)
Classification
based on shapes
i. Circular
tanks
ii. Rectangular
tanks
iii. Spherical
tanks
iv. INTZE
tanks
v. Circular
tanks with conical bottom
JOINTS IN WATER TANK:
MOVEMENT JOINTS. There are three types
of movement joints.
- Construction Joint: It is a movement joint with deliberate discontinuity without initial gap between the concrete on either side of the joint. The purpose of this joint is to accommodate construction of the concrete.
- Expansion Joint: It is a joint with complete discontinuity in both reinforcing steel and concrete and it is to accommodate either expansion or contraction of the structure. A typical expansion joint.
- Sliding Joint: It is a joint with complete discontinuity in both reinforcement and concrete and with special provision to facilitate movement in plane of the joint. This type of joint is provided between wall and floor in some cylindrical tank designs.
CONTRACTION JOINTS.
This type of joint is provided for convenience
in construction. Arrangement is made to achieve subsequent continuity without
relative movement. One application of these joints is between successive lifts
in a reservoir wall.
TEMPORARY JOINTS.
A gap is sometimes left temporarily between the
concrete of adjoining parts of a structure which after a suitable interval and
before the structure is put to use, is filled with mortar or concrete
completely as with suitable jointing
materials. In the 1st case width of the gap should be sufficient to allow
the sides to be prepared before filling.
FACTOR AFFECTING OF WATER TANK
FACTORS. AFFECTING PER CAPITA DEMAND:
• Size of the city: Per capita demand for big cities is generally large as compared
to that for smaller towns as big cities have sewered houses.
• Presence of industries.
• Climatic conditions.
• Habits of economic status.
• Quality of water: If water is aesthetically $
people and their medically safe, the consumption will increase as people will
not resort to private wells, etc.
• Pressure in the distribution system.
• Efficiency of water works administration: Leaks
in water mains and services; and unauthorised use of water can be kept to a
minimum by surveys.
• Cost of water.
• Policy of metering and charging method: Water
tax is charged in two different ways: on the basis of meter reading and on the
basis of certain fixed monthly rate.
FLUCTUATIONS IN RATE OF DEMAND:
Average Daily per Capita Demand = Quantity Required in
12 Months/ (365 x Population)
If this average demand is supplied at all the times,
it will not be sufficient to meet the fluctuations.
• Seasonal variation: The demand peaks during
summer. Firebreak outs are generally more in summer, increasing demand. So,
there is seasonal variation.
• Daily variation depends on the activity.
People draw out more water on Sundays and Festival days, thus increasing demand
on these days.
• Hourly variations are very important as they
have a wide range. During active household working hours. i.e. from six to ten
in the morning and four to eight in the evening, the bulk of the daily
requirement is taken. During other hours. The requirement is negligible.
Moreover, if a fire breaks out, a huge quantity of water is required to be
supplied during short duration, necessitating the need for a maximum rate of
hourly supply.
So, an adequate quantity of water must be available to
meet the peak demand. To meet all the fluctuations, the supply pipes, service reservoir
and distribution pipes must be properly proportioned. The water is supplied by
pumping directly and the pumps and distribution system must be designed to meet
the peak demand. The effect of monthly variation influences the design of
storage reservoir and the hourly variations influences the design of pumps and
service reservoir. As the population decreases, the fluctuation rate increases.
Maximum daily demand = 1.8 x average daily demand
Maximum hourly demand of maximum day i.e. Peak demand
= 1.5 x average hourly demand
= 1.5 x Maximum daily demand/24
= 1.5 x (1.8 x average daily demand)/24
= 2.7 x average daily demand/24
= 2.7 x annual average hourly demand
COMPONENTS:
- DOMES:
A dome may be defined as a thin shell generated by the
revolution of a regular curve about one of its axes. The shape of the dome
depends on the type of the curve and the direction of the axis of revolution.
In spherical and conical domes, surface is described by revolving an arc of a
circle. The centre of the circle may be on the axis of rotation (spherical
dome) or outside the axis (conical dome). Both types may or may not have a symmetrical
lantern opening through the top. The edge of the shell around its base is usually
provided with edge member cast integrally with the shell.
Domes are used in variety of structures, as in the
roof of circular areas, in circular tanks, in hangers, exhibition halls,
auditoriums, Planetorium and bottom of tanks, bins and bunkers.
Domes may be
constructed of masonry, steel, timber and reinforced concrete. However,
reinforced domes are more common nowadays since they can be constructed over
large spans Membrane theory for analysis of shells of revolution can be
developed neglecting effect of bending moment, twisting moment and shear and
assuming that the loads are carried wholly by axial stresses. This however
applies at points of shell which are removed some distance away from the
discontinuous edge. At the edges, the results thus obtained may be indicated
but are not accurate.
The
reinforcement is provided in the middle of the thickness of the dome shell near
the edges usually some ring beam is provided for taking the horizontal component
of the meridian stress. Some bending moment develops in the shell near the
edges. Reinforcements near the top as well as near the bottom face of the shell
are also provided.
- RING BEAM:
The size of the
ring beam is obtained on basis of the hoop tension developed in the ring due to
the horizontal component of the meridian stress. The concrete area is obtained
so that the resulting tensile stress when concrete alone is considered does not
exceed 1.1 N/mm2 to 1.70 N/mm2 for direct tension and 1.5 N/mm2 to 2.40 N/mm2
for tension due to bending in liquid resisting structure depending on the grade
of concrete. Reinforcement for the hoop stress is also provided with the
allowable stress in steel as 115 N/mm2 (or 150 N/mm2) in case of liquid retaining
structures and 140 N/mm2 (or 190 N/ mm2) in other cases. The ring should be
provided so that the central line of the shell passes through the centroid of
the ring beam. Reinforcement has to be provided in both the directions. If the
reinforcement along the meridians is continued up to the crown, there will be
congestion of steel there. Hence, from practical considerations, the reinforcement
along the meridian is stopped below the crown and a separate
mesh is provided. In case of domes with lantern opening with concentrated load
acting there, ring beam has to be provided at the periphery of the opening. The
edge beam there will, however, be subjected to hoop compression in place of
hoop tension.
- OVERHEAD WATER TANK AND TOWERS:
(1) Overhead
water tanks of various shapes can be used as service reservoir as a balancing
tank in water supply schemes and for replenishing the tanks for various
purposes.
(2) Reinforced
concrete water towers have distinct advantages as they are not affected by climatic
changes, are leak proof, provide greater rigidity and are adoptable for all
shapes.
(3) Side walls
(4) Floors., beams,
including circular girder
(5) Bracing and
(6) Foundations
- FLOORS:
(I) Floors of Tanks Resting on Ground.
If the tank is resting directly over ground, floor may
be constructed of concrete with nominal percentage of reinforcement provided
that it is certain that the ground will carry the load without appreciable
subsidence in any part and that the concrete floor is cast in panels with sides
not more than 4.5m with contraction or expansion joints between. In such cases
a screed or concrete layer less than 75mm thick shall first be placed on the ground
and covered with a sliding layer of bitumen paper or other suitable material to
destroy the bond between the screed and floor concrete. In normal circumstances
the screed layer shall be of grade not weaker than M 10,where injurious soils
or aggressive water are expected, the screed layer shall be of grade not weaker
than M 15 and if necessary a sulphate resisting or other special cement should
be used.
(II) Floor of Tanks Resting on Supports
(a) If the tank is supported on walls or other similar
supports the floor slab shall be designed as floor in buildings for bending moments
due to water load and self-weight.
(b) When the floor is rigidly connected to the walls (as
is generally the case) the bending moments at the junction between the walls
and floors shall be taken into account in the design of floor together with any
direct forces transferred to the floor from the walls or from the floor to the
wall due to suspension of the floor from the wall. If the walls are non-monolithic
with the floor slab, such as in cases, where movement joints have been provided
between the floor slabs and walls, the floor shall be designed only for the vertical
loads on the floor.
(c) In continuous T-beams and L-beams with ribs on the side
remote from the liquid, the tension in concrete on the liquid side at the face
of the supports shall not exceed the permissible stresses for controlling
cracks in concrete. The width of the slab shall be determined in usual manner
for calculation of the resistance to cracking of T-beam, L beam sections at
supports.
(d) The floor slab may be suitably tied to the walls by
rods properly embedded in both the slab and the walls. In such cases no
separate beam (curved or straight) is necessary under the wall, provided the
wall of the tank itself is designed to act as a beam over the supports under
it.
(e) Sometimes it may be economical to provide the floors
of circular tanks, in the shape of dome. In such cases the dome shall be designed
for the vertical loads of the liquid over it and the ratio of its rise to its
diameter shall be so adjusted that the stresses in the dome are, as far as possible,
wholly compressive. The dome shall be supported at its bottom on the ring beam
which shall be designed for resultant circumferential tension in addition to
vertical loads.
- WALLS:
(I) Provision of Joints
(a) Where it is desired to allow the walls to expand or
contract separately from the floor, or to prevent moments at the base of the
wall owing to fixity to the floor, sliding joints may be employed.
(b) The spacing of vertical movement joints should be the majority
of these joints may be of the partial or complete contraction type, sufficient joints
of the expansion type should be provided to satisfy the requirements.
(II) Pressure on Walls.
(a) In liquid retaining structures with fixed or floating
covers the gas pressure developed above liquid surface shall be added to the
liquid pressure.
(b) When the wall of liquid retaining structure is built in
ground, or has earth embanked against it, the effect of earth pressure shall be
taken into account.
(III) Walls or Tanks Rectangular or Polygonal in Plan. While
designing the walls of rectangular or polygonal concrete tanks, the following points
should be borne in mind.
(a) In plane walls, the liquid pressure is resisted by
both vertical and horizontal bending moments. An estimate should be made of the
proportion of the pressure resisted by bending moments in the vertical and
horizontal planes. The direct horizontal tension caused by the direct pull due
to water pressure on the end walls, should be added to that resulting from
horizontal bending moments.
(b) On liquid retaining faces, the tensile stresses due to
the combination of direct horizontal tension and bending action shall satisfy
the following condition:
(t./t )+ ( óc t . /óc
t) ≤ 1 ………………………………………….(I)
t. =
calculated direct tensile stress in concrete
t =
permissible direct tensile stress in concrete
óc t = calculated tensile stress due to bending in
concrete.
óc t = permissible tensile stress due to
bending in concrete.
(c) In the case of rectangular or polygonal tanks, the side
walls act as two way slabs, whereby the wall is continued or restrained in the
horizontal direction, fixed or hinged at the bottom and hinged or free at the top. The walls thus act as
thin plate subjected triangular loading and with boundary conditions varying between
full restraint and free edge. The analysis of moment and forces may be made on
the basis of any recognized method.
(d) At the vertical edges where the walls of a reservoir
are rigidly joined, horizontal reinforcement and haunch bars should be provided
to resist the horizontal bending moments even if the walls are designed to
withstand the whole load as vertical beams or cantilever without lateral
supports.
(IV) Walls of Cylindrical Tanks.
While designing walls of cylindrical tanks the
following points should be borne in mind:
(a) Walls of cylindrical tanks are either cast monolithically
with the base or are set in grooves and key ways (movement joints). In either
case deformation of wall under influence of liquid pressure is restricted at
and above the base. Consequently, only part of the triangular hydrostatic load
will be carried by ring tension and part of the load at bottom will be
supported by cantilever action.
(b) It is difficult to restrict rotation or settlement of
the base slab and it is advisable to provide vertical reinforcement as if the
walls were fully fixed at the base, in addition to the reinforcement required
to resist horizontal ring tension for hinged at base, conditions of walls,
unless the appropriate amount of fixity at the base is established by analysis with
due consideration to the dimensions of the base slab the type of joint between
the wall and slab, and , where applicable, the type of soil supporting the base
slab.
- ROOFS:
(I) Provision of Movement Joints.
To avoid the possibility of sympathetic cracking it is
important to ensure that movement joints in the roof correspond with those in the
walls, if roof and walls are monolithic. It, however, provision is made by
means of a sliding joint for movement between the roof and the wall
correspondence of joints is not so important.
(II) Loading.
Field covers. of liquid retaining structures should be
designed for gravity loads, such as the weight of roof slab, earth cover if
any, live loads and mechanical equipment. They should also be designed for
upward load if the liquid retaining structure is subjected to internal gas
pressure. A superficial load sufficient to ensure safety with the unequal intensity
of loading which occurs. during the placing of the earth cover should be
allowed for in designing roofs. The engineer should specify a loading under
these temporary conditions which should not be exceeded. In designing the roof,
allowance should be made for the temporary condition of some spans loaded and
other spans unloaded, even though in the final state the load may be small and
evenly distributed.
(III) Water Tightness:
In case of tanks intended for the storage of water
for domestic purpose, the roof must be made water-tight. This may be achieved
by limiting the stresses as for the rest of the tank, or by the use of the
covering of the waterproof membrane or by providing slopes to ensure adequate
drainage.
(IV)Protection against Corrosion:
Protection measure shall be provided to the under-side
of the roof to prevent it from corrosion due to condensation.
(V) Minimum Reinforcement:
(a) The minimum reinforcement in walls, floors and roofs
in each of two directions at right angles shall have an area of 0.3 per cent of
the concrete section in that direction for sections up to 100mm, thickness. For
sections of thickness greater than 100mm, and less than 450mm the minimum
reinforcement in each of the two directions shall be linearly reduced from 0.3
percent for 100mm thick section to 0.2 percent for 450mm, thick sections. For
sections of thickness greater than 450mm, minimum reinforcement in each of the
two directions shall be kept at 0.2 per cent. In concrete sections of thickness
225mm or greater, two layers of reinforcement steel shall be placed one near
each face of the section to make up the minimum reinforcement.
(b) In special circumstances floor slabs may be
constructed with percentage of reinforcement less than specified above. In no
case the percentage of reinforcement in any member be less than 0.15% of gross
sectional area of the member.
(VI) Minimum Cover to Reinforcement:
(a) For liquid faces of parts of members either in contact
with the liquid (such as inner faces or roof slab) the minimum cover to all
reinforcement should be 25mm or the diameter of the main bar whichever is greater.
In the presence of the sea water and soils and water of corrosive characters
the cover should be increased by 12mm but this
Additional
cover shall not be taken into account for design calculations.
(b) For faces away from liquid and for parts of the structure
neither in contact with the liquid on any face, nor enclosing the space above
the liquid, the cover shall be as for ordinary concrete member.
DESIGN OF INTZE WATER TANK
DESIGN CRITERIA:
Water Quantity Estimation:
The quantity of water required for municipal uses for
which the water supply scheme has to be designed requires following data:
Water consumption rate (Per Capita Demand in liters per day per head) Population to be served.
Quantity = Per capita demand x Population
Water Consumption Rate
It is very difficult to precisely assess the quantity
of water demanded by the public, since there are many variable factors affecting
water consumption. The various types of water demands, which a city may have,
may be broken into following class
Table - Water Consumption for Various Purposes:
S.NO.
|
Types of Consumption
|
Normal Range
(lit./capita/day)
|
Average
|
% Share
|
1
|
Domestic Consumption
|
65-300
|
160
|
35
|
2
|
Industrial and Commercial
Demand
|
45-450
|
135
|
30
|
3
|
Public including Fire Demand
Uses
|
20-90
|
45
|
10
|
4
|
Losses and Waste
|
45-150
|
62
|
25
|
Fire Fighting Demand:
The per capita fire demand is very less on an average
basis but the rate at which the water is required is very large. The rate of
fire demand is sometimes treated as a function of population and is worked out
from following empirical formula:
Table
3.2 - Empirical Formula
S.NO.
|
Authority
|
Formula (P in thousand)
|
Q for (1 lakh
Population)
|
1
|
American
Insurance
Association
|
Q (L/min)=4637 ÖP (1-0.01 ÖP)
|
41760
|
2
|
Kuchling's
Formula
|
Q (L/min)=3182 ÖP
|
31800
|
3
|
Freeman's
Formula
|
Q (L/min)= 1136.5(P/5+10)
|
35050
|
4
|
Ministry of
Urban
Development
Manual Formula
|
Q (kilo liters./d)=100 ÖP for P>50000
|
31623
|
Design Periods & Population Forecast:
This quantity should be worked out with due provision for the estimated requirements of the future. The future period for which a provision is made in the water supply scheme is known as the design period.
Design period is estimated based on the following:
• Useful life of the component, considering obsolescence, wear, tear, etc.
• Expand-ability aspect.
• Anticipated rate of growth of population, including industrial, commercial developments & migration-immigration.
• Available resources.
• Performance of the system during initial period.
Population Forecasting Methods:
The various methods adopted for estimating future populations are given below. The particular method to be adopted for a particular case or for a particular city depends largely on the factors discussed in the methods, and the selection is left to the discretion and intelligence of the designer.
- Incremental Increase Method
- Decreasing Rate of Growth Method
- Simple Graphical Method
- Comparative Graphical Method
- Ratio Method
- Logistic Curve Method
- Arithmetic Increase Method
- Geometric Increase Method.
DESIGN CRITERIA OF CONCRETE (I. S. I):
In water retaining structure a dense impermeable concrete is required therefore, proportion of fine and course aggregates to cement should be such as to give high quality concrete. Concrete mix weaker than M20 is not used. The minimum quantity of cement in the concrete mix shall be not less than 30 KN/m3.The design of the concrete mix shall be such that the resultant concrete issue efficiently impervious. Efficient compaction preferably by vibration is essential. The permeability of the thoroughly compacted concrete is dependent on water cement ratio. Increase in water cement ratio increases permeability, while concrete with low water cement ratio is difficult to compact. Other causes of leakage in concrete are defects such as segregation and honey combing. All joints should be made water-tight as these are potential sources of leakage. Design of liquid retaining structure is different from ordinary R.C.C, structures as it requires that concrete should not crack and hence tensile stresses in concrete should be within permissible limits. A reinforced concrete member of liquid retaining structure is designed on the usual principles ignoring tensile resistance of concrete in bending. Additionally it should be ensured that tensile stress on the liquid retaining ace of the equivalent concrete section does not exceed the permissible tensile strength of concrete as given in table 1. For calculation purposes the cover is also taken into concrete area. Cracking may be caused due to restraint to shrinkage, expansion and contraction of concrete due to temperature or shrinkage and swelling due to moisture effects. Such restraint may be caused by.
i. The interaction between reinforcement and concrete during shrinkage due to drying.
ii. The boundary conditions.
iii. The differential conditions prevailing through the large thickness of massive concrete Use of small size bars placed properly, leads to closer cracks but of smaller width. The risk of cracking due to temperature and shrinkage effects may be minimized by limiting the changes in moisture content and temperature to which the structure as a whole is subjected. The risk of cracking can also be minimized by reducing the restraint on the free expansion of the structure with long walls or slab founded at or below ground level, restraint can be minimized by the provision of a sliding layer. This can be provided by founding the structure on a flat layer of concrete with interposition of some material to break the bond and facilitate movement. In case length of structure is large it should be subdivided into suitable lengths separated by movement joints, especially where sections are changed the movement joints should be provided. Where structures have to store hot liquids, stresses caused by difference in temperature between inside and outside of the reservoir should be taken into account. The coefficient of expansion due to temperature change is taken as 11 x 10-6 /° C and coefficient of shrinkage may be taken as 450 x 10-6 for initial shrinkage and 200 x 10-6 for drying shrinkage.
GENERAL DESIGN REQUIREMENTS (I.S.I):
Plain Concrete Structures:
Plain concrete member of reinforced concrete liquid retaining structure may be designed against structural failure by allowing tension in plain concrete as per the permissible limits for tension in bending. This will automatically take care of failure due to cracking. However, nominal reinforcement shall be provided, for plain concrete structural members.
c