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Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Formula

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Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure. Check FAQs

σ l = (P i \cdot \frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})})

σ_l - Longitudinal Stress in Pressurized Cylinder?P_i - Internal Pressure on Cylinder?d_i - Inner Diameter of Pressurized Cylinder?d_o - Outer Diameter of Pressurized Cylinder?

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Example

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Here is how the Longitudinal Stress in Thick Cylinder subjected to Internal Pressure equation looks like with Values.

Here is how the Longitudinal Stress in Thick Cylinder subjected to Internal Pressure equation looks like with Units.

Here is how the Longitudinal Stress in Thick Cylinder subjected to Internal Pressure equation looks like.

25.5635 = (10.2 \cdot \frac{465^{2}}{(550^{2}) - (465^{2})})

25.5635N/mm² = (10.2MPa \cdot \frac{{465mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})})

25.5635 = (10.2 \cdot \frac{465^{2}}{(550^{2}) - (465^{2})})

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Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Solution

Follow our step by step solution on how to calculate Longitudinal Stress in Thick Cylinder subjected to Internal Pressure?

FIRST Step Consider the formula

σ l = (P i \cdot \frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})})

Next Step Substitute values of Variables

∴

σ l = (10.2MPa \cdot \frac{{465mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})})

Next Step Convert Units

∴

σ l = (1E+7Pa \cdot \frac{{0.465m}^{2}}{({0.55m}^{2}) - ({0.465m}^{2})})

Next Step Prepare to Evaluate

∴

σ l = (1E+7 \cdot \frac{{0.465}^{2}}{({0.55}^{2}) - ({0.465}^{2})})

Next Step Evaluate

∴

σ l = 25563546.7980296Pa

Next Step Convert to Output's Unit

∴

σ l = 25.5635467980296N/mm²

LAST Step Rounding Answer

∴

σ l = 25.5635N/mm²

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Formula Elements

Variables

Longitudinal Stress in Pressurized Cylinder

Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure.

Symbol: σ_l

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Longitudinal Stress in Pressurized Cylinder

Internal Pressure on Cylinder

Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Internal Pressure on Cylinder

Inner Diameter of Pressurized Cylinder

Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Pressurized Cylinder

Outer Diameter of Pressurized Cylinder

Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Pressurized Cylinder

Other formulas in Thick Cylinder Vessel category

Go Tangential Stress in Thick Cylinder subjected to Internal Pressure

σ tang = (P i \cdot \frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) + 1)

Go Internal Pressure in Thick Cylinder given Tangential Stress

P i = \frac{σ tang}{(\frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) + 1)}

Go Radial Stress in Thick Cylinder subjected to Internal Pressure

σ r = (P i \cdot \frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) - 1)

Go Internal Pressure in Thick Cylinder given Radial Stress

P i = \frac{σ r}{(\frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) + 1)}

How to Evaluate Longitudinal Stress in Thick Cylinder subjected to Internal Pressure?

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure evaluator uses Longitudinal Stress in Pressurized Cylinder = (Internal Pressure on Cylinder*(Inner Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2))) to evaluate the Longitudinal Stress in Pressurized Cylinder, Longitudinal Stress in Thick Cylinder subjected to Internal Pressure is defined as the stress produced when a vessel is subjected to internal pressure. The direction of the longitudinal stress in a cylindrical vessel is parallel to the longitudinal axis of its centerline axis, which means that the stress acts in the direction of its length. Longitudinal Stress in Pressurized Cylinder is denoted by σ_l symbol.

How to evaluate Longitudinal Stress in Thick Cylinder subjected to Internal Pressure using this online evaluator? To use this online evaluator for Longitudinal Stress in Thick Cylinder subjected to Internal Pressure, enter Internal Pressure on Cylinder (P_i), Inner Diameter of Pressurized Cylinder (d_i) & Outer Diameter of Pressurized Cylinder (d_o) and hit the calculate button.

FAQs on Longitudinal Stress in Thick Cylinder subjected to Internal Pressure

What is the formula to find Longitudinal Stress in Thick Cylinder subjected to Internal Pressure?

The formula of Longitudinal Stress in Thick Cylinder subjected to Internal Pressure is expressed as Longitudinal Stress in Pressurized Cylinder = (Internal Pressure on Cylinder*(Inner Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2))). Here is an example- 2.6E-5 = (10200000*(0.465^2)/((0.55^2)-(0.465^2))).

How to calculate Longitudinal Stress in Thick Cylinder subjected to Internal Pressure?

With Internal Pressure on Cylinder (P_i), Inner Diameter of Pressurized Cylinder (d_i) & Outer Diameter of Pressurized Cylinder (d_o) we can find Longitudinal Stress in Thick Cylinder subjected to Internal Pressure using the formula - Longitudinal Stress in Pressurized Cylinder = (Internal Pressure on Cylinder*(Inner Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2))).

Can the Longitudinal Stress in Thick Cylinder subjected to Internal Pressure be negative?

No, the Longitudinal Stress in Thick Cylinder subjected to Internal Pressure, measured in Stress cannot be negative.

Which unit is used to measure Longitudinal Stress in Thick Cylinder subjected to Internal Pressure?

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Longitudinal Stress in Thick Cylinder subjected to Internal Pressure can be measured.

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Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Formula

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Example

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Solution

Longitudinal Stress in Thick Cylinder subjected to Internal Pressure Formula Elements

Other formulas in Thick Cylinder Vessel category

How to Evaluate Longitudinal Stress in Thick Cylinder subjected to Internal Pressure?

FAQs on Longitudinal Stress in Thick Cylinder subjected to Internal Pressure

Variable Name