Critical External Pressure Calculator

✖Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it in pascal.ⓘ Modulus of Elasticity [E_pa]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%

✖Critical Pressure in Pipe is the maximum pressure developed in the pipe that will cause it's buckling in absence of stiffening rings.ⓘ Critical External Pressure [P_critical]

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Formula

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Critical External Pressure

Formula

`"P"_{"critical"} = (20*"E"_{"pa"}*"I")/("D"_{"pipe"})^3`

Example

`"57.45444Pa"=(20*"1.64Pa"*"1.32kg·m²")/("0.91m")^3`

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Critical External Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Pressure in Pipe = (20*Modulus of Elasticity*Moment of Inertia)/(Diameter of Pipe)^3
P_critical = (20*E_pa*I)/(D_pipe)^3
This formula uses 4 Variables

Variables Used

Critical Pressure in Pipe - (Measured in Pascal) - Critical Pressure in Pipe is the maximum pressure developed in the pipe that will cause it's buckling in absence of stiffening rings.
Modulus of Elasticity - (Measured in Pascal) - Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it in pascal.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity: 1.64 Pascal --> 1.64 Pascal No Conversion Required
Moment of Inertia: 1.32 Kilogram Square Meter --> 1.32 Kilogram Square Meter No Conversion Required
Diameter of Pipe: 0.91 Meter --> 0.91 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_critical = (20*E_pa*I)/(D_pipe)^3 --> (20*1.64*1.32)/(0.91)^3

Evaluating ... ...

P_critical = 57.4544402584494

STEP 3: Convert Result to Output's Unit

57.4544402584494 Pascal --> No Conversion Required

FINAL ANSWER

57.4544402584494 ≈ 57.45444 Pascal <-- Critical Pressure in Pipe

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 14 Steel Pipes Calculators

Internal Pressure given Plate Thickness

Go Internal Pressure of pipe = Plate Thickness in Millimeter/((Pipe Radius in Millimeter)/(Permissible Tensile Stress*Joint Efficiency of Pipe))

Radius of Pipe given Plate Thickness

Go Pipe Radius in Millimeter = Plate Thickness in Millimeter/((Internal Pressure of pipe)/(Permissible Tensile Stress*Joint Efficiency of Pipe))

Plate Thickness Required to Resist Internal Pressure

Go Plate Thickness in Millimeter = (Internal Pressure of pipe*Pipe Radius in Millimeter)/(Permissible Tensile Stress*Joint Efficiency of Pipe)

Permissible Tensile Stress given Plate Thickness

Go Permissible Tensile Stress = (Internal Pressure of pipe*Pipe Radius in Millimeter)/(Plate Thickness in Millimeter*Joint Efficiency of Pipe)

Joint Efficiency given Plate Thickness

Go Joint Efficiency of Pipe = (Internal Pressure of pipe*Pipe Radius in Millimeter)/(Permissible Tensile Stress*Plate Thickness in Millimeter)

Diameter of Pipe given Critical External Pressure

Go Diameter of Pipe = ((20*Modulus of Elasticity*Moment of Inertia)/Critical Pressure in Pipe)^(1/3)

Modulus of Elasticity of Metal given Critical External Pressure

Go Modulus of Elasticity = Critical Pressure in Pipe/((20*Moment of Inertia)/(Diameter of Pipe)^3)

Critical External Pressure

Go Critical Pressure in Pipe = (20*Modulus of Elasticity*Moment of Inertia)/(Diameter of Pipe)^3

Thickness of Pipe given Critical External Pressure

Go Thickness of Pipe = Critical Pressure/((5*Modulus of Elasticity)/(3*Diameter of Pipe))^(1/3)

Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure

Go Modulus of Elasticity = (Critical Pressure*3*Diameter of Pipe)/(5*(Thickness of Pipe^3))

Diameter of Pipe given Thickness of Pipe and Critical External Pressure

Go Diameter of Pipe = (5*Modulus of Elasticity*(Thickness of Pipe)^3)/(3*Critical Pressure)

Critical External Pressure given Thickness of Pipe

Go Critical Pressure = (5*Modulus of Elasticity*(Thickness of Pipe)^3)/(3*Diameter of Pipe)

Thickness of Pipe given Moment of Inertia

Go Thickness of Pipe = (12*Moment of Inertia)^(1/3)

Moment of Inertia given Thickness of Pipe

Go Moment of Inertia = ((Thickness of Pipe)^3)/12

Critical External Pressure Formula

Critical Pressure in Pipe = (20*Modulus of Elasticity*Moment of Inertia)/(Diameter of Pipe)^3
P_critical = (20*E_pa*I)/(D_pipe)^3

What is Modulus of Elasticity?

An elastic modulus is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

How to Calculate Critical External Pressure?

Critical External Pressure calculator uses Critical Pressure in Pipe = (20*Modulus of Elasticity*Moment of Inertia)/(Diameter of Pipe)^3 to calculate the Critical Pressure in Pipe, The Critical External Pressure is defined as the value of critical external pressure developed in the pipe that will cause it's buckling in the absence of stiffening rings. Critical Pressure in Pipe is denoted by P_critical symbol.

How to calculate Critical External Pressure using this online calculator? To use this online calculator for Critical External Pressure, enter Modulus of Elasticity (E_pa), Moment of Inertia (I) & Diameter of Pipe (D_pipe) and hit the calculate button. Here is how the Critical External Pressure calculation can be explained with given input values -> 19706.87 = (20*1.64*1.32)/(0.91)^3.

FAQ

What is Critical External Pressure?

The Critical External Pressure is defined as the value of critical external pressure developed in the pipe that will cause it's buckling in the absence of stiffening rings and is represented as P_critical = (20*E_pa*I)/(D_pipe)^3 or Critical Pressure in Pipe = (20*Modulus of Elasticity*Moment of Inertia)/(Diameter of Pipe)^3. Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it in pascal, Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

How to calculate Critical External Pressure?

The Critical External Pressure is defined as the value of critical external pressure developed in the pipe that will cause it's buckling in the absence of stiffening rings is calculated using Critical Pressure in Pipe = (20*Modulus of Elasticity*Moment of Inertia)/(Diameter of Pipe)^3. To calculate Critical External Pressure, you need Modulus of Elasticity (E_pa), Moment of Inertia (I) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Modulus of Elasticity, Moment of Inertia & Diameter of Pipe 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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