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Longitudinal Stress (Axial Stress) in Cylindrical Shell Formula

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Longitudinal Stress for Cylindrical Shell refers to the stress acting parallel to the longitudinal axis of the cylinder. Check FAQs

σ CylindricalShell = \frac{P LS \cdot D}{4} \cdot t c

σ_{CylindricalShell} - Longitudinal Stress for Cylindrical Shell?P_LS - Internal Pressure given Longitudinal Stress?D - Mean Diameter of Shell?t_c - Thickness of Cylindrical Shell?

Longitudinal Stress (Axial Stress) in Cylindrical Shell Example

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Here is how the Longitudinal Stress (Axial Stress) in Cylindrical Shell equation looks like with Values.

Here is how the Longitudinal Stress (Axial Stress) in Cylindrical Shell equation looks like with Units.

Here is how the Longitudinal Stress (Axial Stress) in Cylindrical Shell equation looks like.

155329.92 = \frac{51776.64 \cdot 5}{4} \cdot 2.4

155329.92Pa = \frac{51776.64Pa \cdot 5m}{4} \cdot 2.4m

155329.92 = \frac{51776.64 \cdot 5}{4} \cdot 2.4

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Longitudinal Stress (Axial Stress) in Cylindrical Shell Solution

Follow our step by step solution on how to calculate Longitudinal Stress (Axial Stress) in Cylindrical Shell?

FIRST Step Consider the formula

σ CylindricalShell = \frac{P LS \cdot D}{4} \cdot t c

Next Step Substitute values of Variables

∴

σ CylindricalShell = \frac{51776.64Pa \cdot 5m}{4} \cdot 2.4m

Next Step Prepare to Evaluate

∴

σ CylindricalShell = \frac{51776.64 \cdot 5}{4} \cdot 2.4

LAST Step Evaluate

∴

σ CylindricalShell = 155329.92Pa

Longitudinal Stress (Axial Stress) in Cylindrical Shell Formula Elements

Variables

Longitudinal Stress for Cylindrical Shell

Longitudinal Stress for Cylindrical Shell refers to the stress acting parallel to the longitudinal axis of the cylinder.

Symbol: σ_{CylindricalShell}

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Longitudinal Stress for Cylindrical Shell

Internal Pressure given Longitudinal Stress

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

Symbol: P_LS

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Internal Pressure given Longitudinal Stress

Mean Diameter of Shell

Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Shell

Thickness of Cylindrical Shell

The Thickness of Cylindrical Shell is based on simplified stress analysis and allowable stress for the material of construction.

Symbol: t_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Cylindrical Shell

Other formulas in Design of Pressure Vessel Subjected to Internal Pressure category

Go Circumferential Stress (Hoop Stress) in Cylinderical Shell

σ c = \frac{P Internal \cdot D}{2} \cdot t c

Go Hoop Strain

E = \frac{l 2 - l 0}{l 0}

Go Bolt Circle Diameter

B = G o + (2 \cdot d b) + 12

Go Outside Diameter of Flange using Bolt Diameter

D fo = B + 2 \cdot d b + 12

How to Evaluate Longitudinal Stress (Axial Stress) in Cylindrical Shell?

Longitudinal Stress (Axial Stress) in Cylindrical Shell evaluator uses Longitudinal Stress for Cylindrical Shell = (Internal Pressure given Longitudinal Stress*Mean Diameter of Shell)/4*Thickness of Cylindrical Shell to evaluate the Longitudinal Stress for Cylindrical Shell, Longitudinal Stress (Axial Stress) in Cylindrical shell is the result of a force acting perpendicular to an area of a body, causing the extension or compression of the material. Longitudinal Stress for Cylindrical Shell is denoted by σ_{CylindricalShell} symbol.

How to evaluate Longitudinal Stress (Axial Stress) in Cylindrical Shell using this online evaluator? To use this online evaluator for Longitudinal Stress (Axial Stress) in Cylindrical Shell, enter Internal Pressure given Longitudinal Stress (P_LS), Mean Diameter of Shell (D) & Thickness of Cylindrical Shell (t_c) and hit the calculate button.

FAQs on Longitudinal Stress (Axial Stress) in Cylindrical Shell

What is the formula to find Longitudinal Stress (Axial Stress) in Cylindrical Shell?

The formula of Longitudinal Stress (Axial Stress) in Cylindrical Shell is expressed as Longitudinal Stress for Cylindrical Shell = (Internal Pressure given Longitudinal Stress*Mean Diameter of Shell)/4*Thickness of Cylindrical Shell. Here is an example- 155329.9 = (51776.64*5)/4*2.4.

How to calculate Longitudinal Stress (Axial Stress) in Cylindrical Shell?

With Internal Pressure given Longitudinal Stress (P_LS), Mean Diameter of Shell (D) & Thickness of Cylindrical Shell (t_c) we can find Longitudinal Stress (Axial Stress) in Cylindrical Shell using the formula - Longitudinal Stress for Cylindrical Shell = (Internal Pressure given Longitudinal Stress*Mean Diameter of Shell)/4*Thickness of Cylindrical Shell.

Can the Longitudinal Stress (Axial Stress) in Cylindrical Shell be negative?

No, the Longitudinal Stress (Axial Stress) in Cylindrical Shell, measured in Pressure cannot be negative.

Which unit is used to measure Longitudinal Stress (Axial Stress) in Cylindrical Shell?

Longitudinal Stress (Axial Stress) in Cylindrical Shell is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Longitudinal Stress (Axial Stress) in Cylindrical Shell can be measured.

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Longitudinal Stress (Axial Stress) in Cylindrical Shell Formula

Longitudinal Stress (Axial Stress) in Cylindrical Shell Example

Longitudinal Stress (Axial Stress) in Cylindrical Shell Solution

Longitudinal Stress (Axial Stress) in Cylindrical Shell Formula Elements

Other formulas in Design of Pressure Vessel Subjected to Internal Pressure category

How to Evaluate Longitudinal Stress (Axial Stress) in Cylindrical Shell?

FAQs on Longitudinal Stress (Axial Stress) in Cylindrical Shell

Variable Name