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Longitudinal stress in cylindrical vessel material Formula

GoLongitudinal stress in material given resisting force on thin cylindrical vessel 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{P i \cdot D i}{4 \cdot t}

σ_l - Longitudinal Stress?P_i - Internal Pressure?D_i - Inner Diameter of Cylinder?t - Thickness Of Thin Shell?

Longitudinal stress in cylindrical vessel material Example

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Here is how the Longitudinal stress in cylindrical vessel material equation looks like with Values.

Here is how the Longitudinal stress in cylindrical vessel material equation looks like with Units.

Here is how the Longitudinal stress in cylindrical vessel material equation looks like.

0.0013 = \frac{0.053 \cdot 50}{4 \cdot 525}

0.0013MPa = \frac{0.053MPa \cdot 50mm}{4 \cdot 525mm}

0.0013 = \frac{0.053 \cdot 50}{4 \cdot 525}

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Home » Physics » Mechanical » Strength of Materials » Longitudinal stress in cylindrical vessel material

Longitudinal stress in cylindrical vessel material Solution

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

FIRST Step Consider the formula

σ l = \frac{P i \cdot D i}{4 \cdot t}

Next Step Substitute values of Variables

∴

σ l = \frac{0.053MPa \cdot 50mm}{4 \cdot 525mm}

Next Step Convert Units

∴

σ l = \frac{53000Pa \cdot 0.05m}{4 \cdot 0.525m}

Next Step Prepare to Evaluate

∴

σ l = \frac{53000 \cdot 0.05}{4 \cdot 0.525}

Next Step Evaluate

∴

σ l = 1261.90476190476Pa

Next Step Convert to Output's Unit

∴

σ l = 0.00126190476190476MPa

LAST Step Rounding Answer

∴

σ l = 0.0013MPa

Longitudinal stress in cylindrical vessel material 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.

Internal Pressure

Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

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.

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.

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Formula and 2000+ more formulas!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Formula and 1900+ more formulas!

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 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 cylindrical vessel material?

Longitudinal stress in cylindrical vessel material evaluator uses Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell) to evaluate the Longitudinal Stress, The Longitudinal stress in cylindrical vessel material 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 cylindrical vessel material using this online evaluator? To use this online evaluator for Longitudinal stress in cylindrical vessel material, enter Internal Pressure (P_i), Inner Diameter of Cylinder (D_i) & Thickness Of Thin Shell (t) and hit the calculate button.

FAQs on Longitudinal stress in cylindrical vessel material

What is the formula to find Longitudinal stress in cylindrical vessel material?

The formula of Longitudinal stress in cylindrical vessel material is expressed as Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell). Here is an example- 5.5E-10 = (53000*0.05)/(4*0.525).

How to calculate Longitudinal stress in cylindrical vessel material?

With Internal Pressure (P_i), Inner Diameter of Cylinder (D_i) & Thickness Of Thin Shell (t) we can find Longitudinal stress in cylindrical vessel material using the formula - Longitudinal Stress = (Internal Pressure*Inner Diameter of Cylinder)/(4*Thickness Of Thin Shell).

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=Hoop Stress/2

Can the Longitudinal stress in cylindrical vessel material be negative?

No, the Longitudinal stress in cylindrical vessel material, measured in Pressure cannot be negative.

Which unit is used to measure Longitudinal stress in cylindrical vessel material?

Longitudinal stress in cylindrical vessel material 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 cylindrical vessel material can be measured.

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