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

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Minimum possible height of gravity dams can be classified with respect to their structural height: Low, up to 100 feet. Medium high, between 100 and 300 feet. High, over 300 feet. Check FAQs

H min = \frac{f}{Γ w \cdot (S c - C + 1)}

H_min - Minimum Possible Height?f - Allowable Compressive Stress of Dam Material?Γ_w - Unit Weight of Water?S_c - Specific Gravity of Dam Material?C - Seepage Coefficient at Base of Dam?

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

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Here is how the Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam equation looks like with Values.

Here is how the Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam equation looks like with Units.

Here is how the Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam equation looks like.

42.4867 = \frac{1000}{9.807 \cdot (2.2 - 0.8 + 1)}

42.4867m = \frac{1000kN/m²}{9.807kN/m³ \cdot (2.2 - 0.8 + 1)}

42.4867 = \frac{1000}{9.807 \cdot (2.2 - 0.8 + 1)}

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

Follow our step by step solution on how to calculate Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam?

FIRST Step Consider the formula

H min = \frac{f}{Γ w \cdot (S c - C + 1)}

Next Step Substitute values of Variables

∴

H min = \frac{1000kN/m²}{9.807kN/m³ \cdot (2.2 - 0.8 + 1)}

Next Step Prepare to Evaluate

∴

H min = \frac{1000}{9.807 \cdot (2.2 - 0.8 + 1)}

Next Step Evaluate

∴

H min = 42.4866591890146m

LAST Step Rounding Answer

∴

H min = 42.4867m

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

Variables

Minimum Possible Height

Minimum possible height of gravity dams can be classified with respect to their structural height: Low, up to 100 feet. Medium high, between 100 and 300 feet. High, over 300 feet.

Symbol: H_min

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Minimum Possible Height

Allowable Compressive Stress of Dam Material

Allowable Compressive Stress of Dam Material produced if exceeds the allowable stresses then the dam material may get crushed, a dam may fail by the failure of its own material.

Symbol: f

Measurement: StressUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Allowable Compressive Stress of Dam Material

Unit Weight of Water

Unit Weight of Water is a volume-specific quantity defined as the weight per unit volume of a material.

Symbol: Γ_w

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water

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

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

Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam evaluator uses 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)) to evaluate the Minimum Possible Height, The Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam formula is defined as can be classified with respect to their structural height: low, up to 100 feet. medium-high, between 100 and 300 feet. high, over 300 feet. Minimum Possible Height is denoted by H_min symbol.

How to evaluate Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam using this online evaluator? To use this online evaluator for Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam, enter Allowable Compressive Stress of Dam Material (f), Unit Weight of Water (Γ_w), Specific Gravity of Dam Material (S_c) & Seepage Coefficient at Base of Dam (C) and hit the calculate button.

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

What is the formula to find Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam?

The formula of Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam is expressed as 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)). Here is an example- 42.48666 = 1000000/(9807*(2.2-0.8+1)).

How to calculate Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam?

With Allowable Compressive Stress of Dam Material (f), Unit Weight of Water (Γ_w), Specific Gravity of Dam Material (S_c) & Seepage Coefficient at Base of Dam (C) we can find Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam using the formula - 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)).

Can the Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam be negative?

No, the Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam, measured in Length cannot be negative.

Which unit is used to measure Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam?

Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam can be measured.

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

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

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

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

Other formulas in Structural Stability of Gravity Dams category

How to Evaluate Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam?

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

Variable Name