Hoop stress in thin cylindrical vessel given longitudinal stress Calculator

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

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✖Hoop Stress is the circumferential stress in a cylinder.ⓘ Hoop stress in thin cylindrical vessel given longitudinal stress [σ_θ]

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Hoop stress in thin cylindrical vessel given longitudinal stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Longitudinal Stress: 0.09 Megapascal --> 90000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = 2*σ_l --> 2*90000

Evaluating ... ...

σ_θ = 180000

STEP 3: Convert Result to Output's Unit

180000 Pascal -->180000 Newton per Square Meter (Check conversion here)

FINAL ANSWER

180000 Newton per Square Meter <-- Hoop Stress

(Calculation completed in 00.007 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)

Hoop stress in thin cylindrical vessel given longitudinal stress Formula

LaTeX Go

Hoop Stress = 2*Longitudinal Stress
σ_θ = 2*σ_l

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 Hoop stress in thin cylindrical vessel given longitudinal stress?

Hoop stress in thin cylindrical vessel given longitudinal stress calculator uses Hoop Stress = 2*Longitudinal Stress to calculate the Hoop Stress, Hoop stress in thin cylindrical vessel given longitudinal stress is the stress around the circumference of the pipe due to a pressure gradient. Hoop Stress is denoted by σ_θ symbol.

How to calculate Hoop stress in thin cylindrical vessel given longitudinal stress using this online calculator? To use this online calculator for Hoop stress in thin cylindrical vessel given longitudinal stress, enter Longitudinal Stress (σ_l) and hit the calculate button. Here is how the Hoop stress in thin cylindrical vessel given longitudinal stress calculation can be explained with given input values -> 180000 = 2*90000.

FAQ

What is Hoop stress in thin cylindrical vessel given longitudinal stress?

Hoop stress in thin cylindrical vessel given longitudinal stress is the stress around the circumference of the pipe due to a pressure gradient and is represented as σ_θ = 2*σ_l or Hoop Stress = 2*Longitudinal Stress. Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

How to calculate Hoop stress in thin cylindrical vessel given longitudinal stress?

Hoop stress in thin cylindrical vessel given longitudinal stress is the stress around the circumference of the pipe due to a pressure gradient is calculated using Hoop Stress = 2*Longitudinal Stress. To calculate Hoop stress in thin cylindrical vessel given longitudinal stress, you need Longitudinal Stress (σ_l). With our tool, you need to enter the respective value for Longitudinal Stress 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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