Width of Elementary Gravity Dam Calculator

✖Height of elementary dam is the vertical distance from the natural streambed at the downstream toe of the dam to the crest.ⓘ Height of Elementary Dam [H_d]			+10% -10%
✖Specific gravity of dam material the material of the dam has a specific gravity and the dam is designed as an elementary profile ignoring uplift.ⓘ Specific Gravity of Dam Material [S_c]			+10% -10%
✖Seepage coefficient at base of dam is the impounded water seeks paths of least resistance through the dam and its foundation.ⓘ Seepage Coefficient at Base of Dam [C]			+10% -10%

✖Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.ⓘ Width of Elementary Gravity Dam [B]

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Formula

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Width of Elementary Gravity Dam

Formula

`"B" = "H"_{"d"}/sqrt("S"_{"c"}-"C")`

Example

`"25.35463m"="30m"/sqrt("2.2"-"0.8")`

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Width of Elementary Gravity Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam)
B = H_d/sqrt(S_c-C)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Base Width - (Measured in Meter) - Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.
Height of Elementary Dam - (Measured in Meter) - Height of elementary dam is the vertical distance from the natural streambed at the downstream toe of the dam to the crest.
Specific Gravity of Dam Material - Specific gravity of dam material the material of the dam has a specific gravity and the dam is designed as an elementary profile ignoring uplift.
Seepage Coefficient at Base of Dam - Seepage coefficient at base of dam is the impounded water seeks paths of least resistance through the dam and its foundation.

STEP 1: Convert Input(s) to Base Unit

Height of Elementary Dam: 30 Meter --> 30 Meter No Conversion Required
Specific Gravity of Dam Material: 2.2 --> No Conversion Required
Seepage Coefficient at Base of Dam: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = H_d/sqrt(S_c-C) --> 30/sqrt(2.2-0.8)

Evaluating ... ...

B = 25.3546276418555

STEP 3: Convert Result to Output's Unit

25.3546276418555 Meter --> No Conversion Required

FINAL ANSWER

25.3546276418555 ≈ 25.35463 Meter <-- Base Width

(Calculation completed in 00.004 seconds)

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< 7 Structural Stability of Gravity Dams Calculators

Shear Friction Factor

Go Shear Friction = ((Coefficient of Friction between Two Surfaces*Total Vertical Force)+(Base Width*Average Shear of Joint))/Horizontal Forces

Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam

Go Minimum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam+1))

Minimum Vertical Direct Stress Distribution at Base

Go Minimum Vertical Direct Stress = (Total Vertical Force/Base Width)*(1-(6*Eccentricity of Resultant Force/Base Width))

Width of Elementary Gravity Dam

Go Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam)

Max Vertical Direct Stress Distribution at Base

Go Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width))

Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam

Go Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1))

Sliding Factor

Go Sliding Factor = Coefficient of Friction between Two Surfaces*Total Vertical Force/Horizontal Forces

Width of Elementary Gravity Dam Formula

Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam)
B = H_d/sqrt(S_c-C)

Why Gravity Dam is thick from bottom?

The pressure in the liquid increases with depth. Thus, as depth increases, more and more pressure is exerted by water on the wall of a dam. A thicker wall is required to withstand a greater pressure, therefore, the wall of the dam is made with the thickness increasing towards base.

How do you find the Width of a Dam?

Measure the surface dimensions of the water. Pace the length and breadth of the bank at the water surface for rectangular or square dams. Round dams can be measured by pacing the circumference of the bank at water level, then divide this distance by 3.142 (π) to calculate the diameter

How to Calculate Width of Elementary Gravity Dam?

Width of Elementary Gravity Dam calculator uses Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam) to calculate the Base Width, The Width of Elementary Gravity Dam formula is defined as the base width of a solid gravity dam being 25 m. The material of the dam has a specific gravity of 2.56 and the dam is designed as an elementary profile ignoring uplift. Base Width is denoted by B symbol.

How to calculate Width of Elementary Gravity Dam using this online calculator? To use this online calculator for Width of Elementary Gravity Dam, enter Height of Elementary Dam (H_d), Specific Gravity of Dam Material (S_c) & Seepage Coefficient at Base of Dam (C) and hit the calculate button. Here is how the Width of Elementary Gravity Dam calculation can be explained with given input values -> 25.35463 = 30/sqrt(2.2-0.8).

FAQ

What is Width of Elementary Gravity Dam?

The Width of Elementary Gravity Dam formula is defined as the base width of a solid gravity dam being 25 m. The material of the dam has a specific gravity of 2.56 and the dam is designed as an elementary profile ignoring uplift and is represented as B = H_d/sqrt(S_c-C) or Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam). Height of elementary dam is the vertical distance from the natural streambed at the downstream toe of the dam to the crest, Specific gravity of dam material the material of the dam has a specific gravity and the dam is designed as an elementary profile ignoring uplift & Seepage coefficient at base of dam is the impounded water seeks paths of least resistance through the dam and its foundation.

How to calculate Width of Elementary Gravity Dam?

The Width of Elementary Gravity Dam formula is defined as the base width of a solid gravity dam being 25 m. The material of the dam has a specific gravity of 2.56 and the dam is designed as an elementary profile ignoring uplift is calculated using Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam). To calculate Width of Elementary Gravity Dam, you need Height of Elementary Dam (H_d), Specific Gravity of Dam Material (S_c) & Seepage Coefficient at Base of Dam (C). With our tool, you need to enter the respective value for Height of Elementary Dam, Specific Gravity of Dam Material & Seepage Coefficient at Base of Dam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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