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Hoop stress in thin cylindrical vessel given longitudinal stress Formula

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Hoop Stress is the circumferential stress in a cylinder. Check FAQs

σ θ = 2 \cdot σ l

σ_θ - Hoop Stress?σ_l - Longitudinal Stress?

Hoop stress in thin cylindrical vessel given longitudinal stress Example

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With units

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

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

Here is how the Hoop stress in thin cylindrical vessel given longitudinal stress equation looks like.

180000 = 2 \cdot 0.09

180000N/m² = 2 \cdot 0.09MPa

180000 = 2 \cdot 0.09

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Hoop stress in thin cylindrical vessel given longitudinal stress Solution

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

FIRST Step Consider the formula

σ θ = 2 \cdot σ l

Next Step Substitute values of Variables

∴

σ θ = 2 \cdot 0.09MPa

Next Step Convert Units

∴

σ θ = 2 \cdot 90000Pa

Next Step Prepare to Evaluate

∴

σ θ = 2 \cdot 90000

Next Step Evaluate

∴

σ θ = 180000Pa

LAST Step Convert to Output's Unit

∴

σ θ = 180000N/m²

Hoop stress in thin cylindrical vessel given longitudinal stress Formula Elements

Variables

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

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

Other formulas in Longitudinal Stress category

Go Resisting force on thin cylindrical vessel

F = (σ l \cdot π \cdot D i \cdot t)

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

σ l = \frac{F}{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}

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

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

FAQs on Hoop stress in thin cylindrical vessel given longitudinal stress

What is the formula to find Hoop stress in thin cylindrical vessel given longitudinal stress?

The formula of Hoop stress in thin cylindrical vessel given longitudinal stress is expressed as Hoop Stress = 2*Longitudinal Stress. Here is an example- 180000 = 2*90000.

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

With Longitudinal Stress (σ_l) we can find Hoop stress in thin cylindrical vessel given longitudinal stress using the formula - Hoop Stress = 2*Longitudinal Stress.

Can the Hoop stress in thin cylindrical vessel given longitudinal stress be negative?

No, the Hoop stress in thin cylindrical vessel given longitudinal stress, measured in Stress cannot be negative.

Which unit is used to measure Hoop stress in thin cylindrical vessel given longitudinal stress?

Hoop stress in thin cylindrical vessel given longitudinal stress is usually measured using the Newton per Square Meter[N/m²] for Stress. Pascal[N/m²], Newton per Square Millimeter[N/m²], Kilonewton per Square Meter[N/m²] are the few other units in which Hoop stress in thin cylindrical vessel given longitudinal stress can be measured.

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