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

GoLongitudinal stress in cylindrical vessel material Formula

GoLongitudinal stress in thin cylindrical vessel given hoop stress 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{F}{π \cdot D i \cdot t}

σ_l - Longitudinal Stress?F - Force on cylindrical shell?D_i - Inner Diameter of Cylinder?t - Thickness Of Thin Shell?π - Archimedes' constant?

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

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Here is how the Longitudinal stress in material given resisting force on thin cylindrical vessel equation looks like with Values.

Here is how the Longitudinal stress in material given resisting force on thin cylindrical vessel equation looks like with Units.

Here is how the Longitudinal stress in material given resisting force on thin cylindrical vessel equation looks like.

3E-5 = \frac{2.5}{3.1416 \cdot 50 \cdot 525}

3E-5MPa = \frac{2.5N}{3.1416 \cdot 50mm \cdot 525mm}

3E-5 = \frac{2.5}{3.1416 \cdot 50 \cdot 525}

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

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

FIRST Step Consider the formula

σ l = \frac{F}{π \cdot D i \cdot t}

Next Step Substitute values of Variables

∴

σ l = \frac{2.5N}{π \cdot 50mm \cdot 525mm}

Next Step Substitute values of Constants

∴

σ l = \frac{2.5N}{3.1416 \cdot 50mm \cdot 525mm}

Next Step Convert Units

∴

σ l = \frac{2.5N}{3.1416 \cdot 0.05m \cdot 0.525m}

Next Step Prepare to Evaluate

∴

σ l = \frac{2.5}{3.1416 \cdot 0.05 \cdot 0.525}

Next Step Evaluate

∴

σ l = 30.3152272555991Pa

Next Step Convert to Output's Unit

∴

σ l = 3.03152272555991E-05MPa

LAST Step Rounding Answer

∴

σ l = 3E-5MPa

Longitudinal stress in material given resisting force on thin cylindrical vessel Formula Elements

Variables

Constants

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

Force on cylindrical shell

Force on cylindrical shell is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on cylindrical shell

Inner Diameter of Cylinder

Inner Diameter of Cylinder is the diameter of the inside of the cylinder.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Inner Diameter of Cylinder

Thickness Of Thin Shell

Thickness Of Thin Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of Thin Shell

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Longitudinal Stress

Go Longitudinal stress in cylindrical vessel material

σ l = \frac{P i \cdot D i}{4 \cdot t}

Go Longitudinal stress in thin cylindrical vessel given hoop stress

σ l = \frac{σ θ}{2}

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 material given resisting force on thin cylindrical vessel?

Longitudinal stress in material given resisting force on thin cylindrical vessel evaluator uses Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell) to evaluate the Longitudinal Stress, Longitudinal stress in material given resisting force on thin cylindrical vessel is 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 material given resisting force on thin cylindrical vessel using this online evaluator? To use this online evaluator for Longitudinal stress in material given resisting force on thin cylindrical vessel, enter Force on cylindrical shell (F), Inner Diameter of Cylinder (D_i) & Thickness Of Thin Shell (t) and hit the calculate button.

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

What is the formula to find Longitudinal stress in material given resisting force on thin cylindrical vessel?

The formula of Longitudinal stress in material given resisting force on thin cylindrical vessel is expressed as Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell). Here is an example- 1.3E-11 = 2.5/(pi*0.05*0.525).

How to calculate Longitudinal stress in material given resisting force on thin cylindrical vessel?

With Force on cylindrical shell (F), Inner Diameter of Cylinder (D_i) & Thickness Of Thin Shell (t) we can find Longitudinal stress in material given resisting force on thin cylindrical vessel using the formula - Longitudinal Stress = Force on cylindrical shell/(pi*Inner Diameter of Cylinder*Thickness Of Thin Shell). This formula also uses Archimedes' constant .

What are the other ways to Calculate Longitudinal Stress?

Here are the different ways to Calculate Longitudinal Stress-

Longitudinal Stress=(Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell)
Longitudinal Stress=Hoop Stress/2

Can the Longitudinal stress in material given resisting force on thin cylindrical vessel be negative?

No, the Longitudinal stress in material given resisting force on thin cylindrical vessel, measured in Pressure cannot be negative.

Which unit is used to measure Longitudinal stress in material given resisting force on thin cylindrical vessel?

Longitudinal stress in material given resisting force on thin cylindrical vessel 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 material given resisting force on thin cylindrical vessel can be measured.

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

​GoLongitudinal stress in cylindrical vessel material Formula

​GoLongitudinal stress in thin cylindrical vessel given hoop stress Formula

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

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

Longitudinal stress in material given resisting force on thin cylindrical vessel Formula Elements

Other Formulas to find Longitudinal Stress

Other formulas in Longitudinal Stress category

How to Evaluate Longitudinal stress in material given resisting force on thin cylindrical vessel?

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

Variable Name

GoLongitudinal stress in cylindrical vessel material Formula

GoLongitudinal stress in thin cylindrical vessel given hoop stress Formula