Resultant Force due to External Water Pressure acting from Base Calculator

✖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%
✖Depth of Water due to External Force is plainly marked at or above the water surface on the vertical pool wall and/or on the edge of the deck at maximum and minimum points.ⓘ Depth of Water due to External Force [H]			+10% -10%

✖Resultant force due to external water the Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.ⓘ Resultant Force due to External Water Pressure acting from Base [P]

⎘ Copy

👎

Formula

✖

Resultant Force due to External Water Pressure acting from Base

Formula

`"P" = (1/2)*"Γ"_{"w"}*"H"^2`

Example

`"176.526kN/m²"=(1/2)*"9.807kN/m³"*("6m")^2`

Calculator

LaTeX

Reset

👍

Download Dams and Reservoirs Formulas PDF PDF Image

Resultant Force due to External Water Pressure acting from Base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Force due to External Water = (1/2)*Unit Weight of Water*Depth of Water due to External Force^2
P = (1/2)*Γ_w*H^2
This formula uses 3 Variables

Variables Used

Resultant Force due to External Water - (Measured in Pascal) - Resultant force due to external water the Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is a volume-specific quantity defined as the weight per unit volume of a material.
Depth of Water due to External Force - (Measured in Meter) - Depth of Water due to External Force is plainly marked at or above the water surface on the vertical pool wall and/or on the edge of the deck at maximum and minimum points.

STEP 1: Convert Input(s) to Base Unit

Unit Weight of Water: 9.807 Kilonewton per Cubic Meter --> 9807 Newton per Cubic Meter (Check conversion here)
Depth of Water due to External Force: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (1/2)*Γ_w*H^2 --> (1/2)*9807*6^2

Evaluating ... ...

P = 176526

STEP 3: Convert Result to Output's Unit

176526 Pascal -->176.526 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

176.526 Kilonewton per Square Meter <-- Resultant Force due to External Water

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Irrigation Engineering » Dams and Reservoirs » Forces acting on Gravity Dam » Resultant Force due to External Water Pressure acting from Base

Credits

Created by bhuvaneshwari

Coorg institute of technology (CIT), Kodagu

bhuvaneshwari has created this Calculator and 50+ more calculators!

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has verified this Calculator and 100+ more calculators!

< 8 Forces acting on Gravity Dam Calculators

Wave Height for Fetch Less than 32 kilometers

Go Height of Water from Top Crest to Bottom of Trough = (0.032*sqrt(Wind Velocity of Wave Pressure*Straight Length of Water Expense)+0.763)-(0.271*(Straight Length of Water Expense^(3/4)))

Net Effective Weight of Dam

Go Net Effective Weight of Dam = Total Weight of Dam-((Total Weight of Dam/Gravity adapted for Vertical Acceleration)*Fraction Gravity adapted for Vertical Acceleration)

Force Exerted by Silt in Addition to External Water Pressure represented by Rankine's Formula

Go Force Exerted by Silt in Water Pressure = (1/2)*Sub Merged Unit Weight of Silt Materials*(Height of Silt Deposited^2)*Coefficient of Active Earth Pressure of Silt

Von Karman Equation of Amount of Hydrodynamic Force acting from Base

Go Von Karman Amount of Hydrodynamic Force = 0.555*Fraction of Gravity for Horizontal Acceleration*Unit Weight of Water*(Depth of Water due to External Force^2)

Wave Height for Fetch more than 32 kilometers

Go Height of Water from Top Crest to Bottom of Trough = 0.032*sqrt(Wind Velocity of Wave Pressure*Straight Length of Water Expense)

Maximum Pressure Intensity due to Wave Action

Go Maximum Pressure Intensity due to Wave Action = (2.4*Unit Weight of Water*Height of Water from Top Crest to Bottom of Trough)

Moment of Hydrodynamic Force about Base

Go Moment of Hydrodynamic Force about Base = 0.424*Von Karman Amount of Hydrodynamic Force*Depth of Water due to External Force

Resultant Force due to External Water Pressure acting from Base

Go Resultant Force due to External Water = (1/2)*Unit Weight of Water*Depth of Water due to External Force^2

Resultant Force due to External Water Pressure acting from Base Formula

Resultant Force due to External Water = (1/2)*Unit Weight of Water*Depth of Water due to External Force^2
P = (1/2)*Γ_w*H^2

How to calculate Water Pressure?

In the case of the water stored in a tank, the pressure at its bottom is the weight acting on a unit area of the surface where the tank is kept. To translate that into an equation: Pressure = weight/area, and weight = mass (m) * acceleration due to gravity (g). This means pressure = m * g/ area.

What is Water Pressure?

Pressure is the force that pushes water through pipes. Water pressure determines the flow of water from the tap. The amount of pressure at your tap can depend on how high the service reservoir or water tower is above your home, or on how much water other customers are using.

How to Calculate Resultant Force due to External Water Pressure acting from Base?

Resultant Force due to External Water Pressure acting from Base calculator uses Resultant Force due to External Water = (1/2)*Unit Weight of Water*Depth of Water due to External Force^2 to calculate the Resultant Force due to External Water, The Resultant Force due to External Water Pressure acting from Base formula is defined as the resultant force when an external water pressure is acting from the base of a dam. Resultant Force due to External Water is denoted by P symbol.

How to calculate Resultant Force due to External Water Pressure acting from Base using this online calculator? To use this online calculator for Resultant Force due to External Water Pressure acting from Base, enter Unit Weight of Water (Γ_w) & Depth of Water due to External Force (H) and hit the calculate button. Here is how the Resultant Force due to External Water Pressure acting from Base calculation can be explained with given input values -> 0.176526 = (1/2)*9807*6^2.

FAQ

What is Resultant Force due to External Water Pressure acting from Base?

The Resultant Force due to External Water Pressure acting from Base formula is defined as the resultant force when an external water pressure is acting from the base of a dam and is represented as P = (1/2)*Γ_w*H^2 or Resultant Force due to External Water = (1/2)*Unit Weight of Water*Depth of Water due to External Force^2. Unit Weight of Water is a volume-specific quantity defined as the weight per unit volume of a material & Depth of Water due to External Force is plainly marked at or above the water surface on the vertical pool wall and/or on the edge of the deck at maximum and minimum points.

How to calculate Resultant Force due to External Water Pressure acting from Base?

The Resultant Force due to External Water Pressure acting from Base formula is defined as the resultant force when an external water pressure is acting from the base of a dam is calculated using Resultant Force due to External Water = (1/2)*Unit Weight of Water*Depth of Water due to External Force^2. To calculate Resultant Force due to External Water Pressure acting from Base, you need Unit Weight of Water (Γ_w) & Depth of Water due to External Force (H). With our tool, you need to enter the respective value for Unit Weight of Water & Depth of Water due to External Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search