Diameter of Pipe given Thickness of Pipe and Critical External Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Pipe = (5*Modulus of Elasticity*(Thickness of Pipe)^3)/(3*Critical Pressure)
Dpipe = (5*Epa*(tpipe)^3)/(3*Pcr)
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Modulus of Elasticity: 1.64 Pascal --> 1.64 Pascal No Conversion Required
Thickness of Pipe: 0.98 Meter --> 0.98 Meter No Conversion Required
Critical Pressure: 2.82 Pascal --> 2.82 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dpipe = (5*Epa*(tpipe)^3)/(3*Pcr) --> (5*1.64*(0.98)^3)/(3*2.82)
Evaluating ... ...
Dpipe = 0.912266477541371
STEP 3: Convert Result to Output's Unit
0.912266477541371 Meter --> No Conversion Required
FINAL ANSWER
0.912266477541371 0.912266 Meter <-- Diameter of Pipe
(Calculation completed in 00.020 seconds)

Credits

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 Thickness of Pipe and Critical External Pressure Formula

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

What is Pressure?

Pressure is defined as the physical force exerted on an object. The force applied is perpendicular to the surface of objects per unit area.

How to Calculate Diameter of Pipe given Thickness of Pipe and Critical External Pressure?

Diameter of Pipe given Thickness of Pipe and Critical External Pressure calculator uses Diameter of Pipe = (5*Modulus of Elasticity*(Thickness of Pipe)^3)/(3*Critical Pressure) to calculate the Diameter of Pipe, The Diameter of Pipe given Thickness of Pipe and Critical External Pressure is defined as the value of diameter of pipe subjected to a pressure along it's wall causing it to buckle. Diameter of Pipe is denoted by Dpipe symbol.

How to calculate Diameter of Pipe given Thickness of Pipe and Critical External Pressure using this online calculator? To use this online calculator for Diameter of Pipe given Thickness of Pipe and Critical External Pressure, enter Modulus of Elasticity (Epa), Thickness of Pipe (tpipe) & Critical Pressure (Pcr) and hit the calculate button. Here is how the Diameter of Pipe given Thickness of Pipe and Critical External Pressure calculation can be explained with given input values -> 0.912266 = (5*1.64*(0.98)^3)/(3*2.82).

FAQ

What is Diameter of Pipe given Thickness of Pipe and Critical External Pressure?
The Diameter of Pipe given Thickness of Pipe and Critical External Pressure is defined as the value of diameter of pipe subjected to a pressure along it's wall causing it to buckle and is represented as Dpipe = (5*Epa*(tpipe)^3)/(3*Pcr) or Diameter of Pipe = (5*Modulus of Elasticity*(Thickness of Pipe)^3)/(3*Critical Pressure). 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, 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 & Critical Pressure 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 Thickness of Pipe and Critical External Pressure?
The Diameter of Pipe given Thickness of Pipe and Critical External Pressure is defined as the value of diameter of pipe subjected to a pressure along it's wall causing it to buckle is calculated using Diameter of Pipe = (5*Modulus of Elasticity*(Thickness of Pipe)^3)/(3*Critical Pressure). To calculate Diameter of Pipe given Thickness of Pipe and Critical External Pressure, you need Modulus of Elasticity (Epa), Thickness of Pipe (tpipe) & Critical Pressure (Pcr). With our tool, you need to enter the respective value for Modulus of Elasticity, Thickness of Pipe & Critical Pressure 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, Thickness of Pipe & Critical Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Pipe = ((20*Modulus of Elasticity*Moment of Inertia)/Critical Pressure in Pipe)^(1/3)
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