Depth of Center of Pressure Calculator

✖Vertical Depth h1 can be represented as the depth below the free surface of the liquid.ⓘ Vertical Depth h1 [h₁]			+10% -10%
✖Vertical Depth h2 can be described as the depth below the free surface of the liquid.ⓘ Vertical Depth h2 [D_h2]			+10% -10%
✖Breadth of Section can be described as the dimension(breadth) of the section.ⓘ Breadth of Section [b]			+10% -10%

✖Vertical Depth can be described as measurement of straight line perpendicularly downwards from horizontal plane.ⓘ Depth of Center of Pressure [D]

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Formula

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Depth of Center of Pressure

Formula

`"D" = "h"_{"1"}+((2*"D"_{"h2"}+"h"_{"1"})/("D"_{"h2"}+"h"_{"1"}))*("b"_{""}/3)`

Example

`"50.5m"="50m"+((2*"50m"+"50m")/("50m"+"50m"))*("1000mm"/3)`

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Depth of Center of Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Depth = Vertical Depth h1+((2*Vertical Depth h2+Vertical Depth h1)/(Vertical Depth h2+Vertical Depth h1))*(Breadth of Section/3)
D = h₁+((2*D_h2+h₁)/(D_h2+h₁))*(b/3)
This formula uses 4 Variables

Variables Used

Vertical Depth - (Measured in Meter) - Vertical Depth can be described as measurement of straight line perpendicularly downwards from horizontal plane.
Vertical Depth h1 - (Measured in Meter) - Vertical Depth h1 can be represented as the depth below the free surface of the liquid.
Vertical Depth h2 - (Measured in Meter) - Vertical Depth h2 can be described as the depth below the free surface of the liquid.
Breadth of Section - (Measured in Meter) - Breadth of Section can be described as the dimension(breadth) of the section.

STEP 1: Convert Input(s) to Base Unit

Vertical Depth h1: 50 Meter --> 50 Meter No Conversion Required
Vertical Depth h2: 50 Meter --> 50 Meter No Conversion Required
Breadth of Section: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = h₁+((2*D_h2+h₁)/(D_h2+h₁))*(b/3) --> 50+((2*50+50)/(50+50))*(1/3)

Evaluating ... ...

D = 50.5

STEP 3: Convert Result to Output's Unit

50.5 Meter --> No Conversion Required

FINAL ANSWER

50.5 Meter <-- Vertical Depth

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 7 Pressure Diagram Calculators

Depth of Center of Pressure

Go Vertical Depth = Vertical Depth h1+((2*Vertical Depth h2+Vertical Depth h1)/(Vertical Depth h2+Vertical Depth h1))*(Breadth of Section/3)

Total Pressure by Volume of Prism

Go Total Pressure = ((Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))/2)*Breadth of Section*Length of Prism

Length of Prism given Total Pressure by Volume of Prism

Go Length of Prism = 2*Total Pressure/(Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))*Breadth of Section

Vertical Depth given Pressure Intensity for Bottom Edge of Plane Surface

Go Vertical Depth h2 = Pressure Intensity/Specific Weight of Liquid in Piezometer

Vertical Depth given Pressure Intensity for Top Edge of Plane Surface

Go Vertical Depth h1 = Pressure Intensity/Specific Weight of Liquid in Piezometer

Pressure Intensity for Bottom Edge of Plane Surface

Go Pressure 2 = Specific Weight of Liquid in Piezometer*Vertical Depth h2

Pressure Intensity for Top Edge of Plane Surface

Go Pressure 1 = Specific Weight of Liquid in Piezometer*Vertical Depth h1

Depth of Center of Pressure Formula

Vertical Depth = Vertical Depth h1+((2*Vertical Depth h2+Vertical Depth h1)/(Vertical Depth h2+Vertical Depth h1))*(Breadth of Section/3)
D = h₁+((2*D_h2+h₁)/(D_h2+h₁))*(b/3)

What is meant by Specific Weight?

Specific Weight is the weight of a substance per unit volume in absolute units equal to the density multiplied by the acceleration of gravity.

How to Calculate Depth of Center of Pressure?

Depth of Center of Pressure calculator uses Vertical Depth = Vertical Depth h1+((2*Vertical Depth h2+Vertical Depth h1)/(Vertical Depth h2+Vertical Depth h1))*(Breadth of Section/3) to calculate the Vertical Depth, The Depth of Center of Pressure is center of pressure at depth where total sum of a pressure field acts on a body, causing a force to act through that point. Vertical Depth is denoted by D symbol.

How to calculate Depth of Center of Pressure using this online calculator? To use this online calculator for Depth of Center of Pressure, enter Vertical Depth h1 (h₁), Vertical Depth h2 (D_h2) & Breadth of Section (b) and hit the calculate button. Here is how the Depth of Center of Pressure calculation can be explained with given input values -> 50.5 = 50+((2*50+50)/(50+50))*(1/3).

FAQ

What is Depth of Center of Pressure?

The Depth of Center of Pressure is center of pressure at depth where total sum of a pressure field acts on a body, causing a force to act through that point and is represented as D = h₁+((2*D_h2+h₁)/(D_h2+h₁))*(b/3) or Vertical Depth = Vertical Depth h1+((2*Vertical Depth h2+Vertical Depth h1)/(Vertical Depth h2+Vertical Depth h1))*(Breadth of Section/3). Vertical Depth h1 can be represented as the depth below the free surface of the liquid, Vertical Depth h2 can be described as the depth below the free surface of the liquid & Breadth of Section can be described as the dimension(breadth) of the section.

How to calculate Depth of Center of Pressure?

The Depth of Center of Pressure is center of pressure at depth where total sum of a pressure field acts on a body, causing a force to act through that point is calculated using Vertical Depth = Vertical Depth h1+((2*Vertical Depth h2+Vertical Depth h1)/(Vertical Depth h2+Vertical Depth h1))*(Breadth of Section/3). To calculate Depth of Center of Pressure, you need Vertical Depth h1 (h₁), Vertical Depth h2 (D_h2) & Breadth of Section (b). With our tool, you need to enter the respective value for Vertical Depth h1, Vertical Depth h2 & Breadth of Section 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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