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Longitudinal stress in wire due to fluid pressure Formula

GoLongitudinal stress in cylinder given circumferential strain in cylinder 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}{4 \cdot t})

σ_l - Longitudinal Stress?P_i - Internal Pressure?D - Diameter of Cylinder?t - Thickness Of Wire?

Longitudinal stress in wire due to fluid pressure Example

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Here is how the Longitudinal stress in wire due to fluid pressure equation looks like with Values.

Here is how the Longitudinal stress in wire due to fluid pressure equation looks like with Units.

Here is how the Longitudinal stress in wire due to fluid pressure equation looks like.

0.1042 = (\frac{10 \cdot 50}{4 \cdot 1200})

0.1042MPa = (\frac{10MPa \cdot 50mm}{4 \cdot 1200mm})

0.1042 = (\frac{10 \cdot 50}{4 \cdot 1200})

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Longitudinal stress in wire due to fluid pressure Solution

Follow our step by step solution on how to calculate Longitudinal stress in wire due to fluid pressure?

FIRST Step Consider the formula

σ l = (\frac{P i \cdot D}{4 \cdot t})

Next Step Substitute values of Variables

∴

σ l = (\frac{10MPa \cdot 50mm}{4 \cdot 1200mm})

Next Step Convert Units

∴

σ l = (\frac{1E+7Pa \cdot 0.05m}{4 \cdot 1.2m})

Next Step Prepare to Evaluate

∴

σ l = (\frac{1E+7 \cdot 0.05}{4 \cdot 1.2})

Next Step Evaluate

∴

σ l = 104166.666666667Pa

Next Step Convert to Output's Unit

∴

σ l = 0.104166666666667MPa

LAST Step Rounding Answer

∴

σ l = 0.1042MPa

Longitudinal stress in wire due to fluid pressure 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 can be positive or negative.

Formulas to find Longitudinal Stress

Internal Pressure

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

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure

Diameter of Cylinder

The Diameter of Cylinder is the maximum width of cylinder in transverse direction.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Cylinder

Thickness Of Wire

Thickness Of Wire is the distance through a wire.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of Wire

Other Formulas to find Longitudinal Stress

Go Longitudinal stress in cylinder given circumferential strain in cylinder

σ l = \frac{σ c - (e 1 \cdot E)}{𝛎}

Other formulas in Stress category

Go Longitudinal stress in thin cylindrical vessel given Longitudinal strain

σ l = ((ε longitudinal \cdot E)) + (𝛎 \cdot σ θ)

Go Efficiency of circumferential joint given longitudinal stress

η c = \frac{P i \cdot D i}{4 \cdot t}

Go Efficiency of longitudinal joint given hoop stress

η l = \frac{P i \cdot D i}{2 \cdot t}

Go Internal diameter of vessel given hoop stress and efficiency of longitudinal joint

D i = \frac{σ θ \cdot 2 \cdot t \cdot η l}{P i}

How to Evaluate Longitudinal stress in wire due to fluid pressure?

Longitudinal stress in wire due to fluid pressure evaluator uses Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire)) to evaluate the Longitudinal Stress, The Longitudinal stress in wire due to fluid pressure formula is defined as force acting on unit area of material. effect of stress on body is named strain. Stress can deform body. Longitudinal Stress is denoted by σ_l symbol.

How to evaluate Longitudinal stress in wire due to fluid pressure using this online evaluator? To use this online evaluator for Longitudinal stress in wire due to fluid pressure, enter Internal Pressure (P_i), Diameter of Cylinder (D) & Thickness Of Wire (t) and hit the calculate button.

FAQs on Longitudinal stress in wire due to fluid pressure

What is the formula to find Longitudinal stress in wire due to fluid pressure?

The formula of Longitudinal stress in wire due to fluid pressure is expressed as Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire)). Here is an example- 1E-7 = ((10000000*0.05)/(4*1.2)).

How to calculate Longitudinal stress in wire due to fluid pressure?

With Internal Pressure (P_i), Diameter of Cylinder (D) & Thickness Of Wire (t) we can find Longitudinal stress in wire due to fluid pressure using the formula - Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire)).

What are the other ways to Calculate Longitudinal Stress?

Here are the different ways to Calculate Longitudinal Stress-

Longitudinal Stress=(Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio)

Can the Longitudinal stress in wire due to fluid pressure be negative?

Yes, the Longitudinal stress in wire due to fluid pressure, measured in Pressure can be negative.

Which unit is used to measure Longitudinal stress in wire due to fluid pressure?

Longitudinal stress in wire due to fluid pressure 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 wire due to fluid pressure can be measured.

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