Radius of Pipe given Plate Thickness Calculator

✖Plate Thickness in Millimeter is the distance through the bearing plate in mm.ⓘ Plate Thickness in Millimeter [p_t]			+10% -10%
✖Internal Pressure of pipe is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Pressure of pipe [P_i]			+10% -10%
✖Permissible Tensile Stress is a stress that ensures that the stresses developed in a structure due to service loads do not exceed the elastic limit.ⓘ Permissible Tensile Stress [σ_tp]			+10% -10%
✖Joint Efficiency of Pipe is a factor required in all head and shell calculations that accounts for how closely a finished weld joint.ⓘ Joint Efficiency of Pipe [η]			+10% -10%

✖Pipe Radius in Millimeter is the radius of the pipe through which the fluid is flowing.ⓘ Radius of Pipe given Plate Thickness [r]

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Formula

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Radius of Pipe given Plate Thickness

Formula

`"r" = "p"_{"t"}/(("P"_{"i"})/("σ"_{"tp"}*"η"))`

Example

`"200.0267mm"="100.00mm"/(("74.99MPa")/("75MPa"*"2"))`

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Radius of Pipe given Plate Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Radius in Millimeter = Plate Thickness in Millimeter/((Internal Pressure of pipe)/(Permissible Tensile Stress*Joint Efficiency of Pipe))
r = p_t/((P_i)/(σ_tp*η))
This formula uses 5 Variables

Variables Used

Pipe Radius in Millimeter - (Measured in Meter) - Pipe Radius in Millimeter is the radius of the pipe through which the fluid is flowing.
Plate Thickness in Millimeter - (Measured in Meter) - Plate Thickness in Millimeter is the distance through the bearing plate in mm.
Internal Pressure of pipe - (Measured in Pascal) - Internal Pressure of pipe is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Permissible Tensile Stress - (Measured in Pascal) - Permissible Tensile Stress is a stress that ensures that the stresses developed in a structure due to service loads do not exceed the elastic limit.
Joint Efficiency of Pipe - Joint Efficiency of Pipe is a factor required in all head and shell calculations that accounts for how closely a finished weld joint.

STEP 1: Convert Input(s) to Base Unit

Plate Thickness in Millimeter: 100 Millimeter --> 0.1 Meter (Check conversion here)
Internal Pressure of pipe: 74.99 Megapascal --> 74990000 Pascal (Check conversion here)
Permissible Tensile Stress: 75 Megapascal --> 75000000 Pascal (Check conversion here)
Joint Efficiency of Pipe: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = p_t/((P_i)/(σ_tp*η)) --> 0.1/((74990000)/(75000000*2))

Evaluating ... ...

r = 0.200026670222696

STEP 3: Convert Result to Output's Unit

0.200026670222696 Meter -->200.026670222696 Millimeter (Check conversion here)

FINAL ANSWER

200.026670222696 ≈ 200.0267 Millimeter <-- Pipe Radius in Millimeter

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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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

Radius of Pipe given Plate Thickness Formula

Pipe Radius in Millimeter = Plate Thickness in Millimeter/((Internal Pressure of pipe)/(Permissible Tensile Stress*Joint Efficiency of Pipe))
r = p_t/((P_i)/(σ_tp*η))

What is Stress?

Stress is the force acting on the unit area of a material. The effect of stress on a body is named as strain. Stress can deform the body.

How to Calculate Radius of Pipe given Plate Thickness?

Radius of Pipe given Plate Thickness calculator uses Pipe Radius in Millimeter = Plate Thickness in Millimeter/((Internal Pressure of pipe)/(Permissible Tensile Stress*Joint Efficiency of Pipe)) to calculate the Pipe Radius in Millimeter, The Radius of Pipe given Plate Thickness is defined as the value of radius of pipe when we have prior information of other parameters used. Pipe Radius in Millimeter is denoted by r symbol.

How to calculate Radius of Pipe given Plate Thickness using this online calculator? To use this online calculator for Radius of Pipe given Plate Thickness, enter Plate Thickness in Millimeter (p_t), Internal Pressure of pipe (P_i), Permissible Tensile Stress (σ_tp) & Joint Efficiency of Pipe (η) and hit the calculate button. Here is how the Radius of Pipe given Plate Thickness calculation can be explained with given input values -> 1.6E+6 = 0.1/((74990000)/(75000000*2)).

FAQ

What is Radius of Pipe given Plate Thickness?

The Radius of Pipe given Plate Thickness is defined as the value of radius of pipe when we have prior information of other parameters used and is represented as r = p_t/((P_i)/(σ_tp*η)) or Pipe Radius in Millimeter = Plate Thickness in Millimeter/((Internal Pressure of pipe)/(Permissible Tensile Stress*Joint Efficiency of Pipe)). Plate Thickness in Millimeter is the distance through the bearing plate in mm, Internal Pressure of pipe is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Permissible Tensile Stress is a stress that ensures that the stresses developed in a structure due to service loads do not exceed the elastic limit & Joint Efficiency of Pipe is a factor required in all head and shell calculations that accounts for how closely a finished weld joint.

How to calculate Radius of Pipe given Plate Thickness?

The Radius of Pipe given Plate Thickness is defined as the value of radius of pipe when we have prior information of other parameters used is calculated using Pipe Radius in Millimeter = Plate Thickness in Millimeter/((Internal Pressure of pipe)/(Permissible Tensile Stress*Joint Efficiency of Pipe)). To calculate Radius of Pipe given Plate Thickness, you need Plate Thickness in Millimeter (p_t), Internal Pressure of pipe (P_i), Permissible Tensile Stress (σ_tp) & Joint Efficiency of Pipe (η). With our tool, you need to enter the respective value for Plate Thickness in Millimeter, Internal Pressure of pipe, Permissible Tensile Stress & Joint Efficiency 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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