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

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Maximum possible height is the highest vertical position along its trajectory. Check FAQs

H max = \frac{f}{Γ w \cdot (S c + 1)}

H_max - Maximum Possible Height?f - Allowable Compressive Stress of Dam Material?Γ_w - Unit Weight of Water?S_c - Specific Gravity of Dam Material?

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

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Here is how the Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam equation looks like with Values.

Here is how the Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam equation looks like with Units.

Here is how the Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam equation looks like.

31.865 = \frac{1000}{9.807 \cdot (2.2 + 1)}

31.865m = \frac{1000kN/m²}{9.807kN/m³ \cdot (2.2 + 1)}

31.865 = \frac{1000}{9.807 \cdot (2.2 + 1)}

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

Follow our step by step solution on how to calculate Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam?

FIRST Step Consider the formula

H max = \frac{f}{Γ w \cdot (S c + 1)}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

H max = \frac{1000}{9.807 \cdot (2.2 + 1)}

Next Step Evaluate

∴

H max = 31.864994391761m

LAST Step Rounding Answer

∴

H max = 31.865m

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

Variables

Maximum Possible Height

Maximum possible height is the highest vertical position along its trajectory.

Symbol: H_max

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum 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

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

Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam evaluator uses Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1)) to evaluate the Maximum Possible Height, The Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam formula is defined as the theoretical shape of its cross-section when it is subjected to only three main forces. Maximum Possible Height is denoted by H_max symbol.

How to evaluate Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam using this online evaluator? To use this online evaluator for Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam, enter Allowable Compressive Stress of Dam Material (f), Unit Weight of Water (Γ_w) & Specific Gravity of Dam Material (S_c) and hit the calculate button.

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

What is the formula to find Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam?

The formula of Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam is expressed as Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1)). Here is an example- 31.86499 = 1000000/(9807*(2.2+1)).

How to calculate Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam?

With Allowable Compressive Stress of Dam Material (f), Unit Weight of Water (Γ_w) & Specific Gravity of Dam Material (S_c) we can find Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam using the formula - Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1)).

Can the Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam be negative?

No, the Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam, measured in Length cannot be negative.

Which unit is used to measure Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam?

Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam can be measured.

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

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

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

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

Other formulas in Structural Stability of Gravity Dams category

How to Evaluate Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam?

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

Variable Name