Longitudinal stress in cylindrical vessel material Calculator

✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal Pressure [P_i]			+10% -10%
✖Inner Diameter of Cylinder is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinder [D_i]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%

✖Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal stress in cylindrical vessel material [σ_l]

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Formula

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Longitudinal stress in cylindrical vessel material

Formula

`"σ"_{"l"} = ("P"_{"i"}*"D"_{"i"})/(4*"t")`

Example

`"0.001262MPa"=("0.053MPa"*"50mm")/(4*"525mm")`

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Longitudinal stress in cylindrical vessel material Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell)
σ_l = (P_i*D_i)/(4*t)
This formula uses 4 Variables

Variables Used

Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.

STEP 1: Convert Input(s) to Base Unit

Internal Pressure: 0.053 Megapascal --> 53000 Pascal (Check conversion here)
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = (P_i*D_i)/(4*t) --> (53000*0.05)/(4*0.525)

Evaluating ... ...

σ_l = 1261.90476190476

STEP 3: Convert Result to Output's Unit

1261.90476190476 Pascal -->0.00126190476190476 Megapascal (Check conversion here)

FINAL ANSWER

0.00126190476190476 ≈ 0.001262 Megapascal <-- Longitudinal Stress

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 10+ Longitudinal Stress Calculators

Longitudinal stress in material given resisting force on thin cylindrical vessel

Go Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)

Thickness of cylindrical vessel given resisting force on thin cylindrical vessel

Go Thickness Of Thin Shell = Force on cylindrical shell/(Longitudinal Stress*pi*Inner Diameter of Cylinder)

Internal diameter of vessel given resisting force on thin cylindrical vessel

Go Inner Diameter of Cylinder = Force on cylindrical shell/(Longitudinal Stress*pi*Thickness Of Thin Shell)

Resisting force on thin cylindrical vessel

Go Force on cylindrical shell = (Longitudinal Stress*pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)

Internal diameter of vessel given Longitudinal stress in cylindrical vessel material

Go Inner Diameter of Cylinder = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Internal Pressure)

Internal pressure of fluid given Longitudinal stress in cylindrical vessel material

Go Internal Pressure = (Longitudinal Stress*4*Thickness Of Thin Shell)/(Inner Diameter of Cylinder)

Thickness of vessel given Longitudinal stress in cylindrical vessel material

Go Thickness Of Thin Shell = (Internal Pressure*Inner Diameter of Cylinder)/(4*Longitudinal Stress)

Longitudinal stress in cylindrical vessel material

Go Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell)

Longitudinal stress in thin cylindrical vessel given hoop stress

Go Longitudinal Stress = Hoop Stress/2

Hoop stress in thin cylindrical vessel given longitudinal stress

Go Hoop Stress = 2*Longitudinal Stress

Longitudinal stress in cylindrical vessel material Formula

Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell)
σ_l = (P_i*D_i)/(4*t)

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Longitudinal stress in cylindrical vessel material?

Longitudinal stress in cylindrical vessel material calculator uses Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell) to calculate the Longitudinal Stress, The Longitudinal stress in cylindrical vessel material is the stress produced when a pipe is subjected to internal pressure. Longitudinal Stress is denoted by σ_l symbol.

How to calculate Longitudinal stress in cylindrical vessel material using this online calculator? To use this online calculator for Longitudinal stress in cylindrical vessel material, enter Internal Pressure (P_i), Inner Diameter of Cylinder (D_i) & Thickness Of Thin Shell (t) and hit the calculate button. Here is how the Longitudinal stress in cylindrical vessel material calculation can be explained with given input values -> 5.5E-10 = (53000*0.05)/(4*0.525).

FAQ

What is Longitudinal stress in cylindrical vessel material?

The Longitudinal stress in cylindrical vessel material is the stress produced when a pipe is subjected to internal pressure and is represented as σ_l = (P_i*D_i)/(4*t) or Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell). Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature, Inner Diameter of Cylinder is the diameter of the inside of the cylinder & Thickness Of Thin Shell is the distance through an object.

How to calculate Longitudinal stress in cylindrical vessel material?

The Longitudinal stress in cylindrical vessel material is the stress produced when a pipe is subjected to internal pressure is calculated using Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell). To calculate Longitudinal stress in cylindrical vessel material, you need Internal Pressure (P_i), Inner Diameter of Cylinder (D_i) & Thickness Of Thin Shell (t). With our tool, you need to enter the respective value for Internal Pressure, Inner Diameter of Cylinder & Thickness Of Thin Shell 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 Longitudinal Stress?

In this formula, Longitudinal Stress uses Internal Pressure, Inner Diameter of Cylinder & Thickness Of Thin Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -

Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell)
Longitudinal Stress = Hoop Stress/2

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