Total Pressure by Volume of Prism Calculator

✖Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.ⓘ Specific Weight of Liquid in Piezometer [S]			+10% -10%
✖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%
✖Length of Prism is the length of the section and is the term used for identifying the size of any object or section.ⓘ Length of Prism [L]			+10% -10%

✖Total pressure refers to the combined pressure exerted by both static pressure and dynamic pressure in a fluid system.ⓘ Total Pressure by Volume of Prism [P_T]

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Formula

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Total Pressure by Volume of Prism

Formula

`"P"_{"T"} = (("S"*("h"_{"1"}+"D"_{"h2"}))/2)*"b"_{""}*"L"`

Example

`"0.105Pa"=(("0.75kN/m³"*("50m"+"50m"))/2)*"1000mm"*"0.0028m"`

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Total Pressure by Volume of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Pressure = ((Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))/2)*Breadth of Section*Length of Prism
P_T = ((S*(h₁+D_h2))/2)*b*L
This formula uses 6 Variables

Variables Used

Total Pressure - (Measured in Pascal) - Total pressure refers to the combined pressure exerted by both static pressure and dynamic pressure in a fluid system.
Specific Weight of Liquid in Piezometer - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.
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.
Length of Prism - (Measured in Meter) - Length of Prism is the length of the section and is the term used for identifying the size of any object or section.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid in Piezometer: 0.75 Kilonewton per Cubic Meter --> 0.75 Kilonewton per Cubic Meter No Conversion Required
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)
Length of Prism: 0.0028 Meter --> 0.0028 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_T = ((S*(h₁+D_h2))/2)*b*L --> ((0.75*(50+50))/2)*1*0.0028

Evaluating ... ...

P_T = 0.105

STEP 3: Convert Result to Output's Unit

0.105 Pascal --> No Conversion Required

FINAL ANSWER

0.105 Pascal <-- Total Pressure

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal

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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

Total Pressure by Volume of Prism Formula

Total Pressure = ((Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))/2)*Breadth of Section*Length of Prism
P_T = ((S*(h₁+D_h2))/2)*b*L

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 Total Pressure by Volume of Prism?

Total Pressure by Volume of Prism calculator uses Total Pressure = ((Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))/2)*Breadth of Section*Length of Prism to calculate the Total Pressure, The Total Pressure by Volume of Prism is the measure of the total energy of the airstream, and is equal to the sum of static pressure and velocity pressure. Total Pressure is denoted by P_T symbol.

How to calculate Total Pressure by Volume of Prism using this online calculator? To use this online calculator for Total Pressure by Volume of Prism, enter Specific Weight of Liquid in Piezometer (S), Vertical Depth h1 (h₁), Vertical Depth h2 (D_h2), Breadth of Section (b) & Length of Prism (L) and hit the calculate button. Here is how the Total Pressure by Volume of Prism calculation can be explained with given input values -> 112.5 = ((750*(50+50))/2)*1*0.0028.

FAQ

What is Total Pressure by Volume of Prism?

The Total Pressure by Volume of Prism is the measure of the total energy of the airstream, and is equal to the sum of static pressure and velocity pressure and is represented as P_T = ((S*(h₁+D_h2))/2)*b*L or Total Pressure = ((Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))/2)*Breadth of Section*Length of Prism. Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V, 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 & Length of Prism is the length of the section and is the term used for identifying the size of any object or section.

How to calculate Total Pressure by Volume of Prism?

The Total Pressure by Volume of Prism is the measure of the total energy of the airstream, and is equal to the sum of static pressure and velocity pressure is calculated using Total Pressure = ((Specific Weight of Liquid in Piezometer*(Vertical Depth h1+Vertical Depth h2))/2)*Breadth of Section*Length of Prism. To calculate Total Pressure by Volume of Prism, you need Specific Weight of Liquid in Piezometer (S), Vertical Depth h1 (h₁), Vertical Depth h2 (D_h2), Breadth of Section (b) & Length of Prism (L). With our tool, you need to enter the respective value for Specific Weight of Liquid in Piezometer, Vertical Depth h1, Vertical Depth h2, Breadth of Section & Length of Prism 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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