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

✖Critical Pressure is the maximum pressure developed in the pipe that will cause it's buckling in absence of stiffening rings.ⓘ Critical Pressure [P_cr]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%
✖Thickness of Pipe is the smaller dimension of pipe. It is the distance between the inner and outer or front and back surfaces of the pipe.ⓘ Thickness of Pipe [t_pipe]			+10% -10%

✖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 of Metal given Thickness of Pipe and critical external pressure [E_pa]

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Formula

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

Formula

`"E"_{"pa"} = ("P"_{"cr"}*3*"D"_{"pipe"})/(5*("t"_{"pipe"}^3))`

Example

`"1.635926Pa"=("2.82Pa"*3*"0.91m")/(5*(("0.98m")^3))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity = (Critical Pressure*3*Diameter of Pipe)/(5*(Thickness of Pipe^3))
E_pa = (P_cr*3*D_pipe)/(5*(t_pipe^3))
This formula uses 4 Variables

Variables Used

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.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the maximum pressure developed in the pipe that will cause it's buckling in absence of stiffening rings.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Thickness of Pipe - (Measured in Meter) - Thickness of Pipe is the smaller dimension of pipe. It is the distance between the inner and outer or front and back surfaces of the pipe.

STEP 1: Convert Input(s) to Base Unit

Critical Pressure: 2.82 Pascal --> 2.82 Pascal No Conversion Required
Diameter of Pipe: 0.91 Meter --> 0.91 Meter No Conversion Required
Thickness of Pipe: 0.98 Meter --> 0.98 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_pa = (P_cr*3*D_pipe)/(5*(t_pipe^3)) --> (2.82*3*0.91)/(5*(0.98^3))

Evaluating ... ...

E_pa = 1.63592550722913

STEP 3: Convert Result to Output's Unit

1.63592550722913 Pascal --> No Conversion Required

FINAL ANSWER

1.63592550722913 ≈ 1.635926 Pascal <-- Modulus of Elasticity

(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

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

Modulus of Elasticity = (Critical Pressure*3*Diameter of Pipe)/(5*(Thickness of Pipe^3))
E_pa = (P_cr*3*D_pipe)/(5*(t_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 Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure?

Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure calculator uses Modulus of Elasticity = (Critical Pressure*3*Diameter of Pipe)/(5*(Thickness of Pipe^3)) to calculate the Modulus of Elasticity, The Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure is defined as the value of modulus of elasticity of the metal used in the construction of the pipe being subjected to external pressure. Modulus of Elasticity is denoted by E_pa symbol.

How to calculate Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure using this online calculator? To use this online calculator for Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure, enter Critical Pressure (P_cr), Diameter of Pipe (D_pipe) & Thickness of Pipe (t_pipe) and hit the calculate button. Here is how the Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure calculation can be explained with given input values -> 1.635926 = (2.82*3*0.91)/(5*(0.98^3)).

FAQ

What is Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure?

The Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure is defined as the value of modulus of elasticity of the metal used in the construction of the pipe being subjected to external pressure and is represented as E_pa = (P_cr*3*D_pipe)/(5*(t_pipe^3)) or Modulus of Elasticity = (Critical Pressure*3*Diameter of Pipe)/(5*(Thickness of Pipe^3)). Critical Pressure is the maximum pressure developed in the pipe that will cause it's buckling in absence of stiffening rings, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing & Thickness of Pipe is the smaller dimension of pipe. It is the distance between the inner and outer or front and back surfaces of the pipe.

How to calculate Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure?

The Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure is defined as the value of modulus of elasticity of the metal used in the construction of the pipe being subjected to external pressure is calculated using Modulus of Elasticity = (Critical Pressure*3*Diameter of Pipe)/(5*(Thickness of Pipe^3)). To calculate Modulus of Elasticity of Metal given Thickness of Pipe and critical external pressure, you need Critical Pressure (P_cr), Diameter of Pipe (D_pipe) & Thickness of Pipe (t_pipe). With our tool, you need to enter the respective value for Critical Pressure, Diameter of Pipe & Thickness of 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 Modulus of Elasticity?

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

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

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