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Longitudinal stress in thin cylindrical vessel given hoop stress Formula

GoLongitudinal stress in material given resisting force on thin cylindrical vessel Formula

GoLongitudinal stress in cylindrical vessel material Formula

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Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure. Check FAQs

σ l = \frac{σ θ}{2}

σ_l - Longitudinal Stress?σ_θ - Hoop Stress?

Longitudinal stress in thin cylindrical vessel given hoop stress Example

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Here is how the Longitudinal stress in thin cylindrical vessel given hoop stress equation looks like with Values.

Here is how the Longitudinal stress in thin cylindrical vessel given hoop stress equation looks like with Units.

Here is how the Longitudinal stress in thin cylindrical vessel given hoop stress equation looks like.

9E-6 = \frac{18}{2}

9E-6MPa = \frac{18N/m²}{2}

9E-6 = \frac{18}{2}

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Longitudinal stress in thin cylindrical vessel given hoop stress Solution

Follow our step by step solution on how to calculate Longitudinal stress in thin cylindrical vessel given hoop stress?

FIRST Step Consider the formula

σ l = \frac{σ θ}{2}

Next Step Substitute values of Variables

∴

σ l = \frac{18N/m²}{2}

Next Step Convert Units

∴

σ l = \frac{18Pa}{2}

Next Step Prepare to Evaluate

∴

σ l = \frac{18}{2}

Next Step Evaluate

∴

σ l = 9Pa

Next Step Convert to Output's Unit

∴

σ l = 9E-06MPa

LAST Step Rounding Answer

∴

σ l = 9E-6MPa

Longitudinal stress in thin cylindrical vessel given hoop stress Formula Elements

Variables

Longitudinal Stress

Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

Symbol: σ_l

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Longitudinal Stress

Hoop Stress

Hoop Stress is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Hoop Stress

Other Formulas to find Longitudinal Stress

Go Longitudinal stress in material given resisting force on thin cylindrical vessel

σ l = \frac{F}{π \cdot D i \cdot t}

Go Longitudinal stress in cylindrical vessel material

σ l = \frac{P i \cdot D i}{4 \cdot t}

Other formulas in Longitudinal Stress category

Go Resisting force on thin cylindrical vessel

F = (σ l \cdot π \cdot D i \cdot t)

Go Internal diameter of vessel given resisting force on thin cylindrical vessel

D i = \frac{F}{σ l \cdot π \cdot t}

Go Thickness of cylindrical vessel given resisting force on thin cylindrical vessel

t = \frac{F}{σ l \cdot π \cdot D i}

Go Internal pressure of fluid given Longitudinal stress in cylindrical vessel material

P i = \frac{σ l \cdot 4 \cdot t}{D i}

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

Longitudinal stress in thin cylindrical vessel given hoop stress evaluator uses Longitudinal Stress = Hoop Stress/2 to evaluate 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 evaluate Longitudinal stress in thin cylindrical vessel given hoop stress using this online evaluator? To use this online evaluator for Longitudinal stress in thin cylindrical vessel given hoop stress, enter Hoop Stress (σ_θ) and hit the calculate button.

FAQs on Longitudinal stress in thin cylindrical vessel given hoop stress

What is the formula to find Longitudinal stress in thin cylindrical vessel given hoop stress?

The formula of Longitudinal stress in thin cylindrical vessel given hoop stress is expressed as Longitudinal Stress = Hoop Stress/2. Here is an example- 9E-12 = 18/2.

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

With Hoop Stress (σ_θ) we can find Longitudinal stress in thin cylindrical vessel given hoop stress using the formula - Longitudinal Stress = Hoop Stress/2.

What are the other ways to Calculate Longitudinal Stress?

Here are the different ways to Calculate Longitudinal Stress-

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)

Can the Longitudinal stress in thin cylindrical vessel given hoop stress be negative?

No, the Longitudinal stress in thin cylindrical vessel given hoop stress, measured in Pressure cannot be negative.

Which unit is used to measure Longitudinal stress in thin cylindrical vessel given hoop stress?

Longitudinal stress in thin cylindrical vessel given hoop stress is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Longitudinal stress in thin cylindrical vessel given hoop stress can be measured.

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