Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of 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%
✖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%

✖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.ⓘ Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam [H_min]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
H_min = f/(Γ_w*(S_c-C+1))
This formula uses 5 Variables

Variables Used

Minimum Possible Height - (Measured in Meter) - 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.
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.
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

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
Seepage Coefficient at Base of Dam: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_min = f/(Γ_w*(S_c-C+1)) --> 1000/(9.807*(2.2-0.8+1))

Evaluating ... ...

H_min = 42.4866591890146

STEP 3: Convert Result to Output's Unit

42.4866591890146 Meter --> No Conversion Required

FINAL ANSWER

42.4866591890146 ≈ 42.48666 Meter <-- Minimum 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 Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam Formula

LaTeX 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))
H_min = f/(Γ_w*(S_c-C+1))

How to find the Limiting Height of a Gravity Dam?

H=fw(p+1), ignoring uplift to be on the safe side. High Dam: A dam the height of which exceeds the limiting height of low dam is termed as high dam.

What is the Limiting Height of a Low Gravity Dam?

Assuming allowable concrete compressive strength of 3000 kN/m2, the limiting height of low gravity dam is calculated to be 90 m.

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

Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam calculator 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 calculate 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 calculate Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam using this online calculator? To use this online calculator 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. Here is how the Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam calculation can be explained with given input values -> 42.48666 = 1000000/(9807*(2.2-0.8+1)).

FAQ

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

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 and is represented as H_min = f/(Γ_w*(S_c-C+1)) or 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)). 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 & Seepage coefficient at base of dam is the impounded water seeks paths of least resistance through the dam and its foundation.

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

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 is calculated using 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 calculate Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam, you need 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). 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 & 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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