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Longitudinal Stress developed in Pipe wall 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 \cdot D}{4 \cdot t p}

σ_l - Longitudinal Stress?p - Pressure Rise at Valve?D - Diameter of Pipe?t_p - Thickness of Liquid Carrying Pipe?

Longitudinal Stress developed in Pipe wall Example

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Here is how the Longitudinal Stress developed in Pipe wall equation looks like with Values.

Here is how the Longitudinal Stress developed in Pipe wall equation looks like with Units.

Here is how the Longitudinal Stress developed in Pipe wall equation looks like.

3.4E+7 = \frac{1.7E+7 \cdot 0.12}{4 \cdot 0.015}

3.4E+7N/m² = \frac{1.7E+7N/m² \cdot 0.12m}{4 \cdot 0.015m}

3.4E+7 = \frac{1.7E+7 \cdot 0.12}{4 \cdot 0.015}

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Longitudinal Stress developed in Pipe wall Solution

Follow our step by step solution on how to calculate Longitudinal Stress developed in Pipe wall?

FIRST Step Consider the formula

σ l = \frac{p \cdot D}{4 \cdot t p}

Next Step Substitute values of Variables

∴

σ l = \frac{1.7E+7N/m² \cdot 0.12m}{4 \cdot 0.015m}

Next Step Convert Units

∴

σ l = \frac{1.7E+7Pa \cdot 0.12m}{4 \cdot 0.015m}

Next Step Prepare to Evaluate

∴

σ l = \frac{1.7E+7 \cdot 0.12}{4 \cdot 0.015}

Next Step Evaluate

∴

σ l = 34000000Pa

Next Step Convert to Output's Unit

∴

σ l = 34000000N/m²

LAST Step Rounding Answer

∴

σ l = 3.4E+7N/m²

Longitudinal Stress developed in Pipe wall 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: N/m²

Note: Value should be greater than 0.

Formulas to find Longitudinal Stress

Pressure Rise at Valve

Pressure Rise at Valve is the increase in pressure in the liquid at the location of the valve.

Symbol: p

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Pressure Rise at Valve

Diameter of Pipe

Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Thickness of Liquid Carrying Pipe

Thickness of Liquid Carrying Pipe is the wall thickness of the pipe through which the liquid is flowing.

Symbol: t_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Liquid Carrying Pipe

Other formulas in Flow Regime category

Go Velocity at section 1-1 for sudden enlargement

V 1' = V 2' + \sqrt{h e \cdot 2 \cdot [g]}

Go Velocity at section 2-2 for sudden enlargement

V 2' = V 1' - \sqrt{h e \cdot 2 \cdot [g]}

Go Velocity at section 2-2 for sudden contraction

V 2' = \frac{\sqrt{h c \cdot 2 \cdot [g]}}{(\frac{1}{C c}) - 1}

Go Velocity of fluid in pipe for head loss at entrance of pipe

v = \sqrt{\frac{h i \cdot 2 \cdot [g]}{0.5}}

How to Evaluate Longitudinal Stress developed in Pipe wall?

Longitudinal Stress developed in Pipe wall evaluator uses Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe) to evaluate the Longitudinal Stress, The Longitudinal Stress developed in Pipe wall formula is defined as the ratio of pressure and diameter of the pipe to the thickness of the pipe. Longitudinal Stress is denoted by σ_l symbol.

How to evaluate Longitudinal Stress developed in Pipe wall using this online evaluator? To use this online evaluator for Longitudinal Stress developed in Pipe wall, enter Pressure Rise at Valve (p), Diameter of Pipe (D) & Thickness of Liquid Carrying Pipe (t_p) and hit the calculate button.

FAQs on Longitudinal Stress developed in Pipe wall

What is the formula to find Longitudinal Stress developed in Pipe wall?

The formula of Longitudinal Stress developed in Pipe wall is expressed as Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe). Here is an example- 3.4E+7 = (17000000*0.12)/(4*0.015).

How to calculate Longitudinal Stress developed in Pipe wall?

With Pressure Rise at Valve (p), Diameter of Pipe (D) & Thickness of Liquid Carrying Pipe (t_p) we can find Longitudinal Stress developed in Pipe wall using the formula - Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe).

Can the Longitudinal Stress developed in Pipe wall be negative?

No, the Longitudinal Stress developed in Pipe wall, measured in Pressure cannot be negative.

Which unit is used to measure Longitudinal Stress developed in Pipe wall?

Longitudinal Stress developed in Pipe wall is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Longitudinal Stress developed in Pipe wall can be measured.

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Longitudinal Stress developed in Pipe wall Formula

Longitudinal Stress developed in Pipe wall Example

Longitudinal Stress developed in Pipe wall Solution

Longitudinal Stress developed in Pipe wall Formula Elements

Other formulas in Flow Regime category

How to Evaluate Longitudinal Stress developed in Pipe wall?

FAQs on Longitudinal Stress developed in Pipe wall

Variable Name