Hydrostatic End Force using Design Pressure Calculator

✖Radial Distance from Gasket Load Reaction to Bolt Circle is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [h_G]			+10% -10%
✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Pressure [P_i]			+10% -10%

✖Hydrostatic End Force is the force which is a result of internal fluid pressure in the system, and it tries to push the flanges apart.ⓘ Hydrostatic End Force using Design Pressure [H]

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Formula

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Hydrostatic End Force using Design Pressure

Formula

`"H" = (pi/4)*("h"_{"G"}^2)*"P"_{"i"}`

Example

`"2.5E^7N"=(pi/4)*(("1.82m")^2)*"9.8MPa"`

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Download Design of Pressure Vessel Subjected to Internal Pressure Formulas PDF

Hydrostatic End Force using Design Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydrostatic End Force = (pi/4)*(Radial Distance^2)*Internal Pressure
H = (pi/4)*(h_G^2)*P_i
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Hydrostatic End Force - (Measured in Newton) - Hydrostatic End Force is the force which is a result of internal fluid pressure in the system, and it tries to push the flanges apart.
Radial Distance - (Measured in Meter) - Radial Distance from Gasket Load Reaction to Bolt Circle is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

STEP 1: Convert Input(s) to Base Unit

Radial Distance: 1.82 Meter --> 1.82 Meter No Conversion Required
Internal Pressure: 9.8 Megapascal --> 9800000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (pi/4)*(h_G^2)*P_i --> (pi/4)*(1.82^2)*9800000

Evaluating ... ...

H = 25495218.1890895

STEP 3: Convert Result to Output's Unit

25495218.1890895 Newton --> No Conversion Required

FINAL ANSWER

25495218.1890895 ≈ 2.5E+7 Newton <-- Hydrostatic End Force

(Calculation completed in 00.004 seconds)

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< 17 Design of Pressure Vessel Subjected to Internal Pressure Calculators

Coefficient Value for Thickness of Flange

Go Coefficient Value for Thickness of Flange = ((1)/((0.3)+(1.5*Maximum Bolt Loads*Radial Distance)/(Hydrostatic End Force in Gasket Seal*Diameter of Gasket at Load Reaction)))

Gasket Factor

Go Gasket Factor = (Total Fastener Force-Inside Area of Gasket*Test Pressure)/(Gasket Area*Test Pressure)

Longitudinal Stress (Axial Stress) in Cylindrical Shell

Go Longitudinal Stress for Cylindrical Shell = (Internal Pressure given Longitudinal Stress*Mean Diameter of Shell)/4*Thickness of Cylindrical Shell

Internal Presure of Vessel given Longitudinal Stress

Go Internal Pressure given Longitudinal Stress = (4*Longitudinal Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)

Wall Thickness of Pressure Vessel given Longitudinal Stress

Go Thickness of Shell for Longitudinal Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/(4*Longitudinal Stress)

Wall Thickness of Cylindrical Shell Given Hoop Stress

Go Thickness of Shell for Hoop Stress = (2*Internal Pressure given Hoop Stress*Mean Diameter of Shell)/Circumferential Stress

Internal Pressure of Cylindrical Vessel given Hoop Stress

Go Internal Pressure given Hoop Stress = (2*Circumferential Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)

Circumferential Stress (Hoop Stress) in Cylinderical Shell

Go Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell

Maximum Bolt Spacing

Go Maximum Bolt Spacing = 2*Nominal Bolt Diameter+(6*Thickness of Flange/Gasket Factor+0.5)

Hydrostatic End Force using Design Pressure

Go Hydrostatic End Force = (pi/4)*(Radial Distance^2)*Internal Pressure

Diameter of Gasket at Load Reaction

Go Diameter of Gasket at Load Reaction = Outside Diameter of Gasket-2*Effective Gasket Seating Width

Effective Thickness of Conical Head

Go Effective Thickness = Thickness of Conical Head*(cos(Apex Angle))

Hoop Strain

Go Hoop Strain = (Final Length-Initial Length)/(Initial Length)

Radial Distance from Gasket Load Reaction to Bolt Circle

Go Radial Distance = (Bolt Circle Diameter-Diameter of Gasket at Load Reaction)/2

Bolt Circle Diameter

Go Bolt Circle Diameter = Outside Diameter of Gasket+(2*Nominal Bolt Diameter)+12

Outside Diameter of Flange using Bolt Diameter

Go Outside Flange Diameter = Bolt Circle Diameter+2*Nominal Bolt Diameter+12

Minimum Bolt Spacing

Go Minimum Bolt Spacing = 2.5*Nominal Bolt Diameter

Hydrostatic End Force using Design Pressure Formula

Hydrostatic End Force = (pi/4)*(Radial Distance^2)*Internal Pressure
H = (pi/4)*(h_G^2)*P_i

What is Hydrostatic Force?

Hydrostatic force is the result of internal fluid pressure in the system, and tries to push the flanges apart. This force acts upon the gasket and tries to force it out through the space between flanges.

How to Calculate Hydrostatic End Force using Design Pressure?

Hydrostatic End Force using Design Pressure calculator uses Hydrostatic End Force = (pi/4)*(Radial Distance^2)*Internal Pressure to calculate the Hydrostatic End Force, Hydrostatic End Force using Design Pressure refers to the force exerted on a surface or structure due to the pressure of a fluid, typically a liquid, that is at rest. Hydrostatic End Force is denoted by H symbol.

How to calculate Hydrostatic End Force using Design Pressure using this online calculator? To use this online calculator for Hydrostatic End Force using Design Pressure, enter Radial Distance (h_G) & Internal Pressure (P_i) and hit the calculate button. Here is how the Hydrostatic End Force using Design Pressure calculation can be explained with given input values -> 2.5E+7 = (pi/4)*(1.82^2)*9800000.

FAQ

What is Hydrostatic End Force using Design Pressure?

Hydrostatic End Force using Design Pressure refers to the force exerted on a surface or structure due to the pressure of a fluid, typically a liquid, that is at rest and is represented as H = (pi/4)*(h_G^2)*P_i or Hydrostatic End Force = (pi/4)*(Radial Distance^2)*Internal Pressure. Radial Distance from Gasket Load Reaction to Bolt Circle is defined as distance between whisker sensor's pivot point to whisker-object contact point & Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

How to calculate Hydrostatic End Force using Design Pressure?

Hydrostatic End Force using Design Pressure refers to the force exerted on a surface or structure due to the pressure of a fluid, typically a liquid, that is at rest is calculated using Hydrostatic End Force = (pi/4)*(Radial Distance^2)*Internal Pressure. To calculate Hydrostatic End Force using Design Pressure, you need Radial Distance (h_G) & Internal Pressure (P_i). With our tool, you need to enter the respective value for Radial Distance & Internal Pressure 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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