Longitudinal stress in thin cylindrical vessel given Longitudinal strain Calculator

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+10% -10%
✖Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity Of Thin Shell [E]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖Hoop Stress in Thin shell is the circumferential stress in a cylinder.ⓘ Hoop Stress in Thin shell [σ_θ]			+10% -10%

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

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Longitudinal stress in thin cylindrical vessel given Longitudinal strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)
σ_l = ((ε_longitudinal*E))+(𝛎*σ_θ)
This formula uses 5 Variables

Variables Used

Longitudinal Stress Thick Shell - (Measured in Pascal) - Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
Modulus of Elasticity Of Thin Shell - (Measured in Pascal) - Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Hoop Stress in Thin shell - (Measured in Pascal) - Hoop Stress in Thin shell is the circumferential stress in a cylinder.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Strain: 40 --> No Conversion Required
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Hoop Stress in Thin shell: 25.03 Megapascal --> 25030000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = ((ε_longitudinal*E))+(𝛎*σ_θ) --> ((40*10000000))+(0.3*25030000)

Evaluating ... ...

σ_l = 407509000

STEP 3: Convert Result to Output's Unit

407509000 Pascal -->407.509 Megapascal (Check conversion here)

FINAL ANSWER

407.509 Megapascal <-- Longitudinal Stress Thick Shell

(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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< Stress and Strain Calculators

Internal diameter of thin cylindrical vessel given circumferential strain

LaTeX Go Inner Diameter of Cylinder = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*((1/2)-Poisson's Ratio))

Internal fluid pressure given circumferential strain

LaTeX Go Internal Pressure in thin shell = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Inner Diameter of Cylinder))*((1/2)-Poisson's Ratio))

Longitudinal stress given circumferential strain

LaTeX Go Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio

Hoop stress given circumferential strain

LaTeX Go Hoop Stress in Thin shell = (Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)

< Stress Calculators

Internal diameter of vessel given hoop stress and efficiency of longitudinal joint

LaTeX Go Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell)

Longitudinal stress in thin cylindrical vessel given Longitudinal strain

LaTeX Go Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)

Efficiency of circumferential joint given longitudinal stress

LaTeX Go Efficiency of Circumferential Joint = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(4*Thickness Of Thin Shell)

Efficiency of longitudinal joint given hoop stress

LaTeX Go Efficiency of Longitudinal Joint = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell)

Longitudinal stress in thin cylindrical vessel given Longitudinal strain Formula

LaTeX Go

Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)
σ_l = ((ε_longitudinal*E))+(𝛎*σ_θ)

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 Longitudinal strain?

Longitudinal stress in thin cylindrical vessel given Longitudinal strain calculator uses Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell) to calculate the Longitudinal Stress Thick Shell, Longitudinal stress in thin cylindrical vessel given Longitudinal strain is the stress produced when a pipe is subjected to internal pressure. Longitudinal Stress Thick Shell is denoted by σ_l symbol.

How to calculate Longitudinal stress in thin cylindrical vessel given Longitudinal strain using this online calculator? To use this online calculator for Longitudinal stress in thin cylindrical vessel given Longitudinal strain, enter Longitudinal Strain (ε_longitudinal), Modulus of Elasticity Of Thin Shell (E), Poisson's Ratio (𝛎) & Hoop Stress in Thin shell (σ_θ) and hit the calculate button. Here is how the Longitudinal stress in thin cylindrical vessel given Longitudinal strain calculation can be explained with given input values -> 0.000408 = ((40*10000000))+(0.3*25030000).

FAQ

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

Longitudinal stress in thin cylindrical vessel given Longitudinal strain is the stress produced when a pipe is subjected to internal pressure and is represented as σ_l = ((ε_longitudinal*E))+(𝛎*σ_θ) or Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell). The Longitudinal Strain is ratio of change in length to original length, Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5 & Hoop Stress in Thin shell is the circumferential stress in a cylinder.

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

Longitudinal stress in thin cylindrical vessel given Longitudinal strain is the stress produced when a pipe is subjected to internal pressure is calculated using Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell). To calculate Longitudinal stress in thin cylindrical vessel given Longitudinal strain, you need Longitudinal Strain (ε_longitudinal), Modulus of Elasticity Of Thin Shell (E), Poisson's Ratio (𝛎) & Hoop Stress in Thin shell (σ_θ). With our tool, you need to enter the respective value for Longitudinal Strain, Modulus of Elasticity Of Thin Shell, Poisson's Ratio & Hoop Stress in 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 Thick Shell?

In this formula, Longitudinal Stress Thick Shell uses Longitudinal Strain, Modulus of Elasticity Of Thin Shell, Poisson's Ratio & Hoop Stress in Thin shell. We can use 1 other way(s) to calculate the same, which is/are as follows -

Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio

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