Diameter of Pipe given 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%
✖Critical Pressure in Pipe is the maximum pressure developed in the pipe that will cause it's buckling in absence of stiffening rings.ⓘ Critical Pressure in Pipe [P_critical]			+10% -10%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Critical External Pressure [D_pipe]

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Formula

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Diameter of Pipe given Critical External Pressure

Formula

`"D"_{"pipe"} = ((20*"E"_{"pa"}*"I")/"P"_{"critical"})^(1/3)`

Example

`"1.010182m"=((20*"1.64Pa"*"1.32kg·m²")/"42Pa")^(1/3)`

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Diameter of Pipe given Critical External Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = ((20*Modulus of Elasticity*Moment of Inertia)/Critical Pressure in Pipe)^(1/3)
D_pipe = ((20*E_pa*I)/P_critical)^(1/3)
This formula uses 4 Variables

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
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.
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.

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
Critical Pressure in Pipe: 42 Pascal --> 42 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = ((20*E_pa*I)/P_critical)^(1/3) --> ((20*1.64*1.32)/42)^(1/3)

Evaluating ... ...

D_pipe = 1.01018169552689

STEP 3: Convert Result to Output's Unit

1.01018169552689 Meter --> No Conversion Required

FINAL ANSWER

1.01018169552689 ≈ 1.010182 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 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

Diameter of Pipe given Critical External Pressure Formula

Diameter of Pipe = ((20*Modulus of Elasticity*Moment of Inertia)/Critical Pressure in Pipe)^(1/3)
D_pipe = ((20*E_pa*I)/P_critical)^(1/3)

What is Moment of Inertia?

Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force).

How to Calculate Diameter of Pipe given Critical External Pressure?

Diameter of Pipe given Critical External Pressure calculator uses Diameter of Pipe = ((20*Modulus of Elasticity*Moment of Inertia)/Critical Pressure in Pipe)^(1/3) to calculate the Diameter of Pipe, The Diameter of Pipe given Critical External Pressure is defined as the value of diameter of pipe subjected to critical external pressure that will cause it's buckling. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Critical External Pressure using this online calculator? To use this online calculator for Diameter of Pipe given Critical External Pressure, enter Modulus of Elasticity (E_pa), Moment of Inertia (I) & Critical Pressure in Pipe (P_critical) and hit the calculate button. Here is how the Diameter of Pipe given Critical External Pressure calculation can be explained with given input values -> 1.010182 = ((20*1.64*1.32)/42)^(1/3).

FAQ

What is Diameter of Pipe given Critical External Pressure?

The Diameter of Pipe given Critical External Pressure is defined as the value of diameter of pipe subjected to critical external pressure that will cause it's buckling and is represented as D_pipe = ((20*E_pa*I)/P_critical)^(1/3) or Diameter of Pipe = ((20*Modulus of Elasticity*Moment of Inertia)/Critical Pressure in Pipe)^(1/3). 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 & Critical Pressure in Pipe is the maximum pressure developed in the pipe that will cause it's buckling in absence of stiffening rings.

How to calculate Diameter of Pipe given Critical External Pressure?

The Diameter of Pipe given Critical External Pressure is defined as the value of diameter of pipe subjected to critical external pressure that will cause it's buckling is calculated using Diameter of Pipe = ((20*Modulus of Elasticity*Moment of Inertia)/Critical Pressure in Pipe)^(1/3). To calculate Diameter of Pipe given Critical External Pressure, you need Modulus of Elasticity (E_pa), Moment of Inertia (I) & Critical Pressure in Pipe (P_critical). With our tool, you need to enter the respective value for Modulus of Elasticity, Moment of Inertia & Critical Pressure in Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Pipe?

In this formula, Diameter of Pipe uses Modulus of Elasticity, Moment of Inertia & Critical Pressure in Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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