Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Water = sqrt(2*Thrust from Water/Unit Weight of Water)
Hw = sqrt(2*TW/γw)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Height of Water - (Measured in Meter) - Height of Water is the amount of water in vertical direction above the bottom of the wall.
Thrust from Water - (Measured in Newton per Meter) - Thrust from Water is the force exerted by a water flow on a surface, perpendicular to the direction of motion.
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is the ratio of total weight to the total volume of water.
STEP 1: Convert Input(s) to Base Unit
Thrust from Water: 16 Kilonewton per Meter --> 16000 Newton per Meter (Check conversion ​here)
Unit Weight of Water: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hw = sqrt(2*TWw) --> sqrt(2*16000/9810)
Evaluating ... ...
Hw = 1.80609456394292
STEP 3: Convert Result to Output's Unit
1.80609456394292 Meter --> No Conversion Required
FINAL ANSWER
1.80609456394292 1.806095 Meter <-- Height of Water
(Calculation completed in 00.020 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Water Pressure Calculators

Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall
​ LaTeX ​ Go Height of Water = sqrt(2*Thrust from Water/Unit Weight of Water)
Total Thrust from Water Retained by Wall
​ LaTeX ​ Go Thrust from Water = (0.5*Unit Weight of Water*(Height of Water)^2)
Unit Weight of Water given Total Thrust from Water Retained behind Wall
​ LaTeX ​ Go Unit Weight of Water = (2*Thrust from Water/(Height of Water)^2)

Earth Pressure and Stability Calculators

Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall
​ LaTeX ​ Go Height of Water = sqrt(2*Thrust from Water/Unit Weight of Water)
Total Thrust from Water Retained by Wall
​ LaTeX ​ Go Thrust from Water = (0.5*Unit Weight of Water*(Height of Water)^2)
Unit Weight of Water given Total Thrust from Water Retained behind Wall
​ LaTeX ​ Go Unit Weight of Water = (2*Thrust from Water/(Height of Water)^2)

Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall Formula

​LaTeX ​Go
Height of Water = sqrt(2*Thrust from Water/Unit Weight of Water)
Hw = sqrt(2*TW/γw)

What is Unit Weight of Water ?

The specific weight, also known as the unit weight, is the weight per unit volume of a material. A commonly used value is the specific weight of water on Earth at 4°C, which is 9.807 kN/m3 or 62.43 lbf/ft3. The terms specific gravity, and less often specific weight, are also used for relative density.

How to Calculate Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall?

Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall calculator uses Height of Water = sqrt(2*Thrust from Water/Unit Weight of Water) to calculate the Height of Water, The Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall formula is defined as the vertical length of water which is exerting the force on the wall. Height of Water is denoted by Hw symbol.

How to calculate Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall using this online calculator? To use this online calculator for Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall, enter Thrust from Water (TW) & Unit Weight of Water w) and hit the calculate button. Here is how the Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall calculation can be explained with given input values -> 1.806095 = sqrt(2*16000/9810).

FAQ

What is Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall?
The Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall formula is defined as the vertical length of water which is exerting the force on the wall and is represented as Hw = sqrt(2*TWw) or Height of Water = sqrt(2*Thrust from Water/Unit Weight of Water). Thrust from Water is the force exerted by a water flow on a surface, perpendicular to the direction of motion & Unit Weight of Water is the ratio of total weight to the total volume of water.
How to calculate Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall?
The Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall formula is defined as the vertical length of water which is exerting the force on the wall is calculated using Height of Water = sqrt(2*Thrust from Water/Unit Weight of Water). To calculate Height of Water above Bottom of Wall given Total Thrust from Water Retained behind Wall, you need Thrust from Water (TW) & Unit Weight of Water w). With our tool, you need to enter the respective value for Thrust from Water & Unit Weight of Water 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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