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

✖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.ⓘ Allowable Compressive Stress of Dam Material [f]			+10% -10%
✖Unit Weight of Water is a volume-specific quantity defined as the weight per unit volume of a material.ⓘ Unit Weight of Water [Γ_w]			+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%

✖Maximum possible height is the highest vertical position along its trajectory.ⓘ Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam [H_max]

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

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1))
H_max = f/(Γ_w*(S_c+1))
This formula uses 4 Variables

Variables Used

Maximum Possible Height - (Measured in Meter) - Maximum possible height is the highest vertical position along its trajectory.
Allowable Compressive Stress of Dam Material - (Measured in Kilonewton per Square Meter) - 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.
Unit Weight of Water - (Measured in Kilonewton per Cubic Meter) - Unit Weight of Water is a volume-specific quantity defined as the weight per unit volume of a material.
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.

STEP 1: Convert Input(s) to Base Unit

Allowable Compressive Stress of Dam Material: 1000 Kilonewton per Square Meter --> 1000 Kilonewton per Square Meter No Conversion Required
Unit Weight of Water: 9.807 Kilonewton per Cubic Meter --> 9.807 Kilonewton per Cubic Meter No Conversion Required
Specific Gravity of Dam Material: 2.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_max = f/(Γ_w*(S_c+1)) --> 1000/(9.807*(2.2+1))

Evaluating ... ...

H_max = 31.864994391761

STEP 3: Convert Result to Output's Unit

31.864994391761 Meter --> No Conversion Required

FINAL ANSWER

31.864994391761 ≈ 31.86499 Meter <-- Maximum Possible Height

(Calculation completed in 00.004 seconds)

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< Structural Stability of Gravity Dams Calculators

Shear Friction Factor

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

Minimum Vertical Direct Stress Distribution at Base

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

Max Vertical Direct Stress Distribution at Base

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

Sliding Factor

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

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

LaTeX Go

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

What are High and Low Gravity Dams?

A low gravity dam is one whose height is less than Hmax. A high gravity dam is one whose height is greater than Hmax. A gravity dam is called a low dam if the base width is designed from the consideration of the resultant falling as close as possible to the extremities of the middle third of the base.

What is the Minimum Height of a Dam?

According to height, a large dam is higher than 15 metres and a major dam is over 150 meters in height. Alternatively, a low dam is less than 30 m high; a medium-height dam is between 30 and 100 m high, and a high dam is over 100 m high.

How to Calculate 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 calculator uses Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1)) to calculate 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 calculate Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam using this online calculator? To use this online calculator 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. Here is how the Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam calculation can be explained with given input values -> 31.86499 = 1000000/(9807*(2.2+1)).

FAQ

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

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 and is represented as H_max = f/(Γ_w*(S_c+1)) or Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1)). 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, Unit Weight of Water is a volume-specific quantity defined as the weight per unit volume of a 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.

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

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 is calculated using Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1)). To calculate Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam, you need Allowable Compressive Stress of Dam Material (f), Unit Weight of Water (Γ_w) & Specific Gravity of Dam Material (S_c). With our tool, you need to enter the respective value for Allowable Compressive Stress of Dam Material, Unit Weight of Water & Specific Gravity of Dam Material 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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