Von Karman Equation of Amount of Hydrodynamic Force acting from Base Calculator

✖Fraction of gravity for horizontal acceleration acting towards the reservoir causes momentary increase in water pressure.ⓘ Fraction of Gravity for Horizontal Acceleration [K_h]			+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%
✖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%

✖Von Karman amount of Hydrodynamic force arise from water particle velocity and acceleration.ⓘ Von Karman Equation of Amount of Hydrodynamic Force acting from Base [P_e]

⎘ Copy

👎

Formula

✖

Von Karman Equation of Amount of Hydrodynamic Force acting from Base

Formula

`"P"_{"e"} = 0.555*"K"_{"h"}*"Γ"_{"w"}*("H"^2)`

Example

`"39.18877kN"=0.555*"0.2"*"9.807kN/m³"*(("6m")^2)`

Calculator

LaTeX

Reset

👍

Download Dams and Reservoirs Formulas PDF

Von Karman Equation of Amount of Hydrodynamic Force acting from Base Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_e = 0.555*K_h*Γ_w*(H^2)
This formula uses 4 Variables

Variables Used

Von Karman Amount of Hydrodynamic Force - (Measured in Newton) - Von Karman amount of Hydrodynamic force arise from water particle velocity and acceleration.
Fraction of Gravity for Horizontal Acceleration - Fraction of gravity for horizontal acceleration acting towards the reservoir causes momentary increase in water pressure.
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

Fraction of Gravity for Horizontal Acceleration: 0.2 --> No Conversion Required
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_e = 0.555*K_h*Γ_w*(H^2) --> 0.555*0.2*9807*(6^2)

Evaluating ... ...

P_e = 39188.772

STEP 3: Convert Result to Output's Unit

39188.772 Newton -->39.188772 Kilonewton (Check conversion here)

FINAL ANSWER

39.188772 ≈ 39.18877 Kilonewton <-- Von Karman Amount of Hydrodynamic Force

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Irrigation Engineering » Dams and Reservoirs » Forces acting on Gravity Dam » Von Karman Equation of Amount of Hydrodynamic Force 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

Von Karman Equation of Amount of Hydrodynamic Force acting from Base Formula

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)
P_e = 0.555*K_h*Γ_w*(H^2)

What is Hydrodynamic used for?

Hydraulics deals with the mechanical properties of liquids, focusing on the engineering uses of fluid properties. Some industrial hydraulic applications include: pipe flow, dam design, pumps, turbines, hydropower, computational fluid dynamics, flow measurement, river channel behavior and erosion.

What is Hydrodynamic Force in Dam?

Fluid-structure interaction causes a hydrodynamic force, which can be exerted to the dam and affects its response. The effect of vertical excitation of ground motion on dynamic behavior of concrete gravity dam is the most important because of the interaction between foundation and reservoir.

How to Calculate Von Karman Equation of Amount of Hydrodynamic Force acting from Base?

Von Karman Equation of Amount of Hydrodynamic Force acting from Base calculator uses 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) to calculate the Von Karman Amount of Hydrodynamic Force, The Von Karman Equation of Amount of Hydrodynamic Force acting from Base formula is defined as imposed on an object, such as a building, by water flowing against and around it. Von Karman Amount of Hydrodynamic Force is denoted by P_e symbol.

How to calculate Von Karman Equation of Amount of Hydrodynamic Force acting from Base using this online calculator? To use this online calculator for Von Karman Equation of Amount of Hydrodynamic Force acting from Base, enter Fraction of Gravity for Horizontal Acceleration (K_h), Unit Weight of Water (Γ_w) & Depth of Water due to External Force (H) and hit the calculate button. Here is how the Von Karman Equation of Amount of Hydrodynamic Force acting from Base calculation can be explained with given input values -> 0.039189 = 0.555*0.2*9807*(6^2).

FAQ

What is Von Karman Equation of Amount of Hydrodynamic Force acting from Base?

The Von Karman Equation of Amount of Hydrodynamic Force acting from Base formula is defined as imposed on an object, such as a building, by water flowing against and around it and is represented as P_e = 0.555*K_h*Γ_w*(H^2) or 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). Fraction of gravity for horizontal acceleration acting towards the reservoir causes momentary increase in water pressure, 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 Von Karman Equation of Amount of Hydrodynamic Force acting from Base?

The Von Karman Equation of Amount of Hydrodynamic Force acting from Base formula is defined as imposed on an object, such as a building, by water flowing against and around it is calculated using 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). To calculate Von Karman Equation of Amount of Hydrodynamic Force acting from Base, you need Fraction of Gravity for Horizontal Acceleration (K_h), 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 Fraction of Gravity for Horizontal Acceleration, 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