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Longitudinal Stress in Thin Cylinder given 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}{4 \cdot t w}

σ_l - Longitudinal Stress in Pressurized Cylinder?P_i - Internal Pressure on Cylinder?d_i - Inner Diameter of Pressurized Cylinder?t_w - Thickness of Pressurized Cylinder Wall?

Longitudinal Stress in Thin Cylinder given Internal Pressure Example

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Here is how the Longitudinal Stress in Thin Cylinder given Internal Pressure equation looks like with Values.

Here is how the Longitudinal Stress in Thin Cylinder given Internal Pressure equation looks like with Units.

Here is how the Longitudinal Stress in Thin Cylinder given Internal Pressure equation looks like.

39.525 = 10.2 \cdot \frac{465}{4 \cdot 30}

39.525N/mm² = 10.2MPa \cdot \frac{465mm}{4 \cdot 30mm}

39.525 = 10.2 \cdot \frac{465}{4 \cdot 30}

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Longitudinal Stress in Thin Cylinder given Internal Pressure Solution

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

FIRST Step Consider the formula

σ l = P i \cdot \frac{d i}{4 \cdot t w}

Next Step Substitute values of Variables

∴

σ l = 10.2MPa \cdot \frac{465mm}{4 \cdot 30mm}

Next Step Convert Units

∴

σ l = 1E+7Pa \cdot \frac{0.465m}{4 \cdot 0.03m}

Next Step Prepare to Evaluate

∴

σ l = 1E+7 \cdot \frac{0.465}{4 \cdot 0.03}

Next Step Evaluate

∴

σ l = 39525000Pa

LAST Step Convert to Output's Unit

∴

σ l = 39.525N/mm²

Longitudinal Stress in Thin Cylinder given 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

Thickness of Pressurized Cylinder Wall

Thickness of pressurized cylinder wall is the measure of the smallest dimension of a solid figure, here a cylindrical wall.

Symbol: t_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Pressurized Cylinder Wall

Other formulas in Thin Cylinder Vessel category

Go Tangential Stress in Thin Cylinder given Internal Pressure

σ tang = P i \cdot \frac{d i}{2 \cdot t w}

Go Internal Pressure in Thin Cylinder given Tangential Stress

P i = 2 \cdot t w \cdot \frac{σ tang}{d i}

Go Inner Diameter of Thin Cylinder given Tangential Stress

d i = 2 \cdot t w \cdot \frac{σ tang}{P i}

Go Cylinder Wall Thickness of Thin Cylinder given Tangential Stress

t w = P i \cdot \frac{d i}{2 \cdot σ tang}

How to Evaluate Longitudinal Stress in Thin Cylinder given Internal Pressure?

Longitudinal Stress in Thin Cylinder given Internal Pressure evaluator uses Longitudinal Stress in Pressurized Cylinder = Internal Pressure on Cylinder*Inner Diameter of Pressurized Cylinder/(4*Thickness of Pressurized Cylinder Wall) to evaluate the Longitudinal Stress in Pressurized Cylinder, Longitudinal Stress in Thin Cylinder given 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 Thin Cylinder given Internal Pressure using this online evaluator? To use this online evaluator for Longitudinal Stress in Thin Cylinder given Internal Pressure, enter Internal Pressure on Cylinder (P_i), Inner Diameter of Pressurized Cylinder (d_i) & Thickness of Pressurized Cylinder Wall (t_w) and hit the calculate button.

FAQs on Longitudinal Stress in Thin Cylinder given Internal Pressure

What is the formula to find Longitudinal Stress in Thin Cylinder given Internal Pressure?

The formula of Longitudinal Stress in Thin Cylinder given Internal Pressure is expressed as Longitudinal Stress in Pressurized Cylinder = Internal Pressure on Cylinder*Inner Diameter of Pressurized Cylinder/(4*Thickness of Pressurized Cylinder Wall). Here is an example- 4E-5 = 10200000*0.465/(4*0.03).

How to calculate Longitudinal Stress in Thin Cylinder given Internal Pressure?

With Internal Pressure on Cylinder (P_i), Inner Diameter of Pressurized Cylinder (d_i) & Thickness of Pressurized Cylinder Wall (t_w) we can find Longitudinal Stress in Thin Cylinder given Internal Pressure using the formula - Longitudinal Stress in Pressurized Cylinder = Internal Pressure on Cylinder*Inner Diameter of Pressurized Cylinder/(4*Thickness of Pressurized Cylinder Wall).

Can the Longitudinal Stress in Thin Cylinder given Internal Pressure be negative?

No, the Longitudinal Stress in Thin Cylinder given Internal Pressure, measured in Stress cannot be negative.

Which unit is used to measure Longitudinal Stress in Thin Cylinder given Internal Pressure?

Longitudinal Stress in Thin Cylinder given 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 Thin Cylinder given Internal Pressure can be measured.

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Longitudinal Stress in Thin Cylinder given Internal Pressure Formula

Longitudinal Stress in Thin Cylinder given Internal Pressure Example

Longitudinal Stress in Thin Cylinder given Internal Pressure Solution

Longitudinal Stress in Thin Cylinder given Internal Pressure Formula Elements

Other formulas in Thin Cylinder Vessel category

How to Evaluate Longitudinal Stress in Thin Cylinder given Internal Pressure?

FAQs on Longitudinal Stress in Thin Cylinder given Internal Pressure

Variable Name