Design of Retaining Water Structure: Volume and Material Requirements
Water retaining structures like tanks, reservoirs, and
dams are used to control water supply planned for irrigation use, household
consumers, and industries. Designing such structures requires proper estimation
of the volume of water they are supposed to hold in addition to estimating the
materials to be used in constructing it to enhance durability, stability, and
waterproofness.
In this article, we will discuss the general design stages to compute the
volume of water-retaining structures and material requirements for
construction.
Basic Considerations in Designing a Water Retaining Structure
While designing a water retaining structure, the following considerations are essential:
·
Capacity
Requirement : The
amount of water that the structure requires to hold
·
Structural
Integrity: Its
ability to resist hydrostatic pressure forces that occur with held water.
·
Material
Durability: Water
resistance and environmental durability.
·
Waterproofing
Measures: Prevent
leakage and ensure long durability.
The size of the
structure can run from a small water tank to large reservoirs and dams, but the
principles of designing are pretty much consistent.
Step 1: Volume Calculation of Water
Retaining Structures
To calculate the volume of a water retaining structure,
the formula depends on the shape of the structure. Below are some common types
of structures:
1. Rectangular Water Tank
For a rectangular water tank, the volume (V) is
calculated using the formula:
V = L × W × H
Where:
- L = Length of the tank
- W = Width of the tank
- H = Height of the tank
Example:
Assume we are designing a rectangular water tank with
dimensions:
- Length
= 10 meters
- Width
= 5 meters
- Height
= 4 meters
The volume will be:
V = 10 × 5 × 4 = 200 m³
So, the tank can hold 200 cubic meters of water.
2. Circular Water Tank
For a cylindrical (circular) water tank, the
volume (V) is calculated using the formula:
V = Ï€ × r² × H
Where:
- r = Radius of the tank
- H = Height of the tank
Example:
Assume a circular water tank with a radius of 3 meters
and a height of 6 meters.
The volume will be:
V = 3.1416 × (3)² × 6 = 3.1416 × 9 ×
6 = 169.65 m³
So, the circular tank can hold approximately 169.65
cubic meters of water.
Step 2: Material Requirements for
Water Retaining Structures
After determining the volume of the structure, we
calculate the material requirements. The main materials for a water retaining
structure are typically concrete, steel reinforcement, and waterproofing
materials.
Concrete Quantity Calculation
The amount of concrete required depends on the thickness
of the structure’s walls, base, and roof. The general formula for calculating
the volume of concrete is:
Concrete Volume = Surface Area ×
Thickness
Let’s break it down by calculating for the walls, base,
and roof.
1. Wall Concrete Calculation
(Rectangular Tank)
For a rectangular tank, let’s assume the wall
thickness is 0.3 meters. The surface area of the walls is calculated by adding
the areas of all four walls.
Wall Surface Area = 2 × (L × H) + 2 ×
(W × H)
Using the dimensions from our rectangular tank example
(L = 10 m, W = 5 m, H = 4 m):
Wall Surface Area = 2 × (10 × 4) + 2
× (5 × 4) = 2 × 40 + 2 × 20 = 80 + 40 = 120 m²
Now, the volume of concrete for the walls is:
Wall Concrete Volume = 120 m² × 0.3 m
= 36 m³
2. Base Concrete Calculation
The surface area of the base is simply the area of the
base of the tank:
Base Area = L × W = 10 × 5 = 50 m²
Assuming the base thickness is also 0.3 meters, the base
concrete volume is:
Base Concrete Volume = 50 m² × 0.3 m
= 15 m³
3. Roof Concrete Calculation (If
Required)
If the tank has a roof, the roof’s surface area would be
the same as the base:
Roof Area = L × W = 10 × 5 = 50 m²
Assuming the roof thickness is 0.15 meters, the concrete
volume for the roof is:
Roof Concrete Volume = 50 m² × 0.15 m
= 7.5 m³
Step 3: Steel Reinforcement
Calculation
Steel reinforcement is essential for ensuring the
structural integrity of the tank. The amount of steel is usually expressed as a
percentage of the concrete volume, based on the design specifications.
Typically, 1%–2% of the concrete volume is used as steel reinforcement.
Example:
For the walls, we calculated 36 m³ of concrete.
Let’s assume 1.5% steel reinforcement is required.
Steel Reinforcement = 36 m³ × 1.5 /
100 = 0.54 m³
Convert this volume into weight (density of steel = 7850
kg/m³):
Steel Weight = 0.54 m³ × 7850 kg/m³ =
4,239 kg
So, approximately 4,239 kg of steel reinforcement
will be required for the walls.
Similar calculations can be done for the base and roof.
Step 4: Waterproofing Material
Calculation
Waterproofing is crucial to prevent water leakage.
Materials like bitumen sheets, membranes, or waterproof
concrete additives are commonly used.
The surface area of the interior of the tank needs to be
covered. For a rectangular tank, the interior surface area is the sum of
the areas of the walls, base, and roof:
Total Interior Surface Area = Wall
Surface Area + Base Area + Roof Area
From the previous calculations, we have:
- Wall
Surface Area = 120 m²
- Base
Area = 50 m²
- Roof
Area = 50 m²
Total Interior Surface Area = 120 +
50 + 50 = 220 m²
You would need enough waterproofing material to cover 220
m² of surface area.
Conclusion
Designing water-retaining structures requires accurate
volume calculations and estimating the quantities of material for construction.
In this way, the structure can both be functional and durable, exerting
tremendous pressure due to water it contains. Following these calculations you
may design efficient and reliable tanks or reservoirs using the article.
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