Hoop stress in thin cylindrical vessel given longitudinal stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hoop Stress = 2*Longitudinal Stress
σθ = 2*σl
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
σθ = 2*σl --> 2*90000
Evaluating ... ...
σθ = 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 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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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
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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
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Longitudinal stress in cylindrical vessel material
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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

Hoop stress in thin cylindrical vessel given longitudinal stress Formula

Hoop Stress = 2*Longitudinal Stress
σθ = 2*σl

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 σθ 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 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 σθ = 2*σl 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 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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