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))
Hmin = f/(Γw*(Sc-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
Hmin = f/(Γw*(Sc-C+1)) --> 1000/(9.807*(2.2-0.8+1))
Evaluating ... ...
Hmin = 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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7 Structural Stability of Gravity Dams Calculators

Shear Friction Factor
Go Shear Friction = ((Coefficient of Friction between Two Surfaces*Total Vertical Force)+(Base Width*Average Shear of Joint))/Horizontal Forces
Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam
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))
Minimum Vertical Direct Stress Distribution at Base
Go Minimum Vertical Direct Stress = (Total Vertical Force/Base Width)*(1-(6*Eccentricity of Resultant Force/Base Width))
Width of Elementary Gravity Dam
Go Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam)
Max Vertical Direct Stress Distribution at Base
Go Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width))
Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam
Go Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1))
Sliding Factor
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

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))
Hmin = f/(Γw*(Sc-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 Hmin 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 w), Specific Gravity of Dam Material (Sc) & 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 Hmin = f/(Γw*(Sc-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 w), Specific Gravity of Dam Material (Sc) & 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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