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Width of Elementary Gravity Dam Formula

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Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis. Check FAQs

B = \frac{H d}{\sqrt{S c - C}}

B - Base Width?H_d - Height of Elementary Dam?S_c - Specific Gravity of Dam Material?C - Seepage Coefficient at Base of Dam?

Width of Elementary Gravity Dam Example

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Here is how the Width of Elementary Gravity Dam equation looks like with Values.

Here is how the Width of Elementary Gravity Dam equation looks like with Units.

Here is how the Width of Elementary Gravity Dam equation looks like.

25.3546 = \frac{30}{\sqrt{2.2 - 0.8}}

25.3546m = \frac{30m}{\sqrt{2.2 - 0.8}}

25.3546 = \frac{30}{\sqrt{2.2 - 0.8}}

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Width of Elementary Gravity Dam Solution

Follow our step by step solution on how to calculate Width of Elementary Gravity Dam?

FIRST Step Consider the formula

B = \frac{H d}{\sqrt{S c - C}}

Next Step Substitute values of Variables

∴

B = \frac{30m}{\sqrt{2.2 - 0.8}}

Next Step Prepare to Evaluate

∴

B = \frac{30}{\sqrt{2.2 - 0.8}}

Next Step Evaluate

∴

B = 25.3546276418555m

LAST Step Rounding Answer

∴

B = 25.3546m

Width of Elementary Gravity Dam Formula Elements

Variables

Functions

Base Width

Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Width

Height of Elementary Dam

Height of elementary dam is the vertical distance from the natural streambed at the downstream toe of the dam to the crest.

Symbol: H_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Elementary Dam

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.

Symbol: S_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Dam Material

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.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Seepage Coefficient at Base of Dam

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.

Syntax: sqrt(Number)

Other formulas in Structural Stability of Gravity Dams category

Go Max Vertical Direct Stress Distribution at Base

ρ max = (\frac{Σ v}{B}) \cdot (1 + (6 \cdot \frac{e}{B}))

Go Minimum Vertical Direct Stress Distribution at Base

ρ min = (\frac{Σ v}{B}) \cdot (1 - (6 \cdot \frac{e}{B}))

Go Shear Friction Factor

S.F.F = \frac{(μ \cdot Σ v) + (B \cdot q)}{ΣH}

Go Sliding Factor

S.F = μ \cdot \frac{Σ v}{ΣH}

How to Evaluate Width of Elementary Gravity Dam?

Width of Elementary Gravity Dam evaluator uses Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam) to evaluate 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 evaluate Width of Elementary Gravity Dam using this online evaluator? To use this online evaluator 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.

FAQs on Width of Elementary Gravity Dam

What is the formula to find Width of Elementary Gravity Dam?

The formula of Width of Elementary Gravity Dam is expressed as Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam). Here is an example- 25.35463 = 30/sqrt(2.2-0.8).

How to calculate Width of Elementary Gravity Dam?

With Height of Elementary Dam (H_d), Specific Gravity of Dam Material (S_c) & Seepage Coefficient at Base of Dam (C) we can find Width of Elementary Gravity Dam using the formula - Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam). This formula also uses Square Root (sqrt) function(s).

Can the Width of Elementary Gravity Dam be negative?

No, the Width of Elementary Gravity Dam, measured in Length cannot be negative.

Which unit is used to measure Width of Elementary Gravity Dam?

Width of Elementary Gravity Dam is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Elementary Gravity Dam can be measured.

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Width of Elementary Gravity Dam Formula

Width of Elementary Gravity Dam Example

Width of Elementary Gravity Dam Solution

Width of Elementary Gravity Dam Formula Elements

Other formulas in Structural Stability of Gravity Dams category

How to Evaluate Width of Elementary Gravity Dam?

FAQs on Width of Elementary Gravity Dam

Variable Name