Longitudinal stress in thin cylindrical vessel given hoop stress Calculator

✖Hoop Stress is the circumferential stress in a cylinder.ⓘ Hoop Stress [σ_θ]

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

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Longitudinal stress in thin cylindrical vessel given hoop stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Stress = Hoop Stress/2
σ_l = σ_θ/2
This formula uses 2 Variables

Variables Used

Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
Hoop Stress - (Measured in Pascal) - Hoop Stress is the circumferential stress in a cylinder.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress: 18 Newton per Square Meter --> 18 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = σ_θ/2 --> 18/2

Evaluating ... ...

σ_l = 9

STEP 3: Convert Result to Output's Unit

9 Pascal -->9E-06 Megapascal (Check conversion here)

FINAL ANSWER

9E-06 ≈ 9E-6 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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< Longitudinal Stress Calculators

Longitudinal stress in material given resisting force on thin cylindrical vessel

LaTeX 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

LaTeX 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

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

Resisting force on thin cylindrical vessel

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

Longitudinal stress in thin cylindrical vessel given hoop stress Formula

LaTeX Go

Longitudinal Stress = Hoop Stress/2
σ_l = σ_θ/2

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 thin cylindrical vessel given hoop stress?

Longitudinal stress in thin cylindrical vessel given hoop stress calculator uses Longitudinal Stress = Hoop Stress/2 to calculate the Longitudinal Stress, The Longitudinal stress in thin cylindrical vessel given hoop stress formula is defined as 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 thin cylindrical vessel given hoop stress using this online calculator? To use this online calculator for Longitudinal stress in thin cylindrical vessel given hoop stress, enter Hoop Stress (σ_θ) and hit the calculate button. Here is how the Longitudinal stress in thin cylindrical vessel given hoop stress calculation can be explained with given input values -> 9E-12 = 18/2.

FAQ

What is Longitudinal stress in thin cylindrical vessel given hoop stress?

The Longitudinal stress in thin cylindrical vessel given hoop stress formula is defined as the stress produced when a pipe is subjected to internal pressure and is represented as σ_l = σ_θ/2 or Longitudinal Stress = Hoop Stress/2. Hoop Stress is the circumferential stress in a cylinder.

How to calculate Longitudinal stress in thin cylindrical vessel given hoop stress?

The Longitudinal stress in thin cylindrical vessel given hoop stress formula is defined as the stress produced when a pipe is subjected to internal pressure is calculated using Longitudinal Stress = Hoop Stress/2. To calculate Longitudinal stress in thin cylindrical vessel given hoop stress, you need Hoop Stress (σ_θ). With our tool, you need to enter the respective value for Hoop Stress 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 Hoop Stress. 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 = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell)

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