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Longitudinal stress in cylinder given circumferential strain in cylinder Formula

GoLongitudinal stress in wire due to fluid pressure 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{σ c - (e 1 \cdot E)}{𝛎}

σ_l - Longitudinal Stress?σ_c - Circumferential Stress due to Fluid Pressure?e₁ - Circumferential Strain?E - Young's Modulus Cylinder?𝛎 - Poisson's Ratio?

Longitudinal stress in cylinder given circumferential strain in cylinder Example

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Here is how the Longitudinal stress in cylinder given circumferential strain in cylinder equation looks like with Values.

Here is how the Longitudinal stress in cylinder given circumferential strain in cylinder equation looks like with Units.

Here is how the Longitudinal stress in cylinder given circumferential strain in cylinder equation looks like.

-79.9933 = \frac{0.002 - (2.5 \cdot 9.6)}{0.3}

-79.9933MPa = \frac{0.002MPa - (2.5 \cdot 9.6MPa)}{0.3}

-79.9933 = \frac{0.002 - (2.5 \cdot 9.6)}{0.3}

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Longitudinal stress in cylinder given circumferential strain in cylinder Solution

Follow our step by step solution on how to calculate Longitudinal stress in cylinder given circumferential strain in cylinder?

FIRST Step Consider the formula

σ l = \frac{σ c - (e 1 \cdot E)}{𝛎}

Next Step Substitute values of Variables

∴

σ l = \frac{0.002MPa - (2.5 \cdot 9.6MPa)}{0.3}

Next Step Convert Units

∴

σ l = \frac{2000Pa - (2.5 \cdot 9.6E+6Pa)}{0.3}

Next Step Prepare to Evaluate

∴

σ l = \frac{2000 - (2.5 \cdot 9.6E+6)}{0.3}

Next Step Evaluate

∴

σ l = -79993333.3333333Pa

Next Step Convert to Output's Unit

∴

σ l = -79.9933333333333MPa

LAST Step Rounding Answer

∴

σ l = -79.9933MPa

Longitudinal stress in cylinder given circumferential strain in cylinder 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

Circumferential Stress due to Fluid Pressure

Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.

Symbol: σ_c

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Circumferential Stress due to Fluid Pressure

Circumferential Strain

Circumferential strain represents the change in length.

Symbol: e₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circumferential Strain

Young's Modulus Cylinder

Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Cylinder

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson's Ratio

Other Formulas to find Longitudinal Stress

Go Longitudinal stress in wire due to fluid pressure

σ l = (\frac{P i \cdot D}{4 \cdot t})

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 cylinder given circumferential strain in cylinder?

Longitudinal stress in cylinder given circumferential strain in cylinder evaluator uses Longitudinal Stress = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio) to evaluate the Longitudinal Stress, The Longitudinal stress in cylinder given circumferential strain in cylinder formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. Longitudinal Stress is denoted by σ_l symbol.

How to evaluate Longitudinal stress in cylinder given circumferential strain in cylinder using this online evaluator? To use this online evaluator for Longitudinal stress in cylinder given circumferential strain in cylinder, enter Circumferential Stress due to Fluid Pressure (σ_c), Circumferential Strain (e₁), Young's Modulus Cylinder (E) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Longitudinal stress in cylinder given circumferential strain in cylinder

What is the formula to find Longitudinal stress in cylinder given circumferential strain in cylinder?

The formula of Longitudinal stress in cylinder given circumferential strain in cylinder is expressed as Longitudinal Stress = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio). Here is an example- -8E-5 = (2000-(2.5*9600000))/(0.3).

How to calculate Longitudinal stress in cylinder given circumferential strain in cylinder?

With Circumferential Stress due to Fluid Pressure (σ_c), Circumferential Strain (e₁), Young's Modulus Cylinder (E) & Poisson's Ratio (𝛎) we can find Longitudinal stress in cylinder given circumferential strain in cylinder using the formula - Longitudinal Stress = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio).

What are the other ways to Calculate Longitudinal Stress?

Here are the different ways to Calculate Longitudinal Stress-

Longitudinal Stress=((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire))

Can the Longitudinal stress in cylinder given circumferential strain in cylinder be negative?

Yes, the Longitudinal stress in cylinder given circumferential strain in cylinder, measured in Pressure can be negative.

Which unit is used to measure Longitudinal stress in cylinder given circumferential strain in cylinder?

Longitudinal stress in cylinder given circumferential strain in cylinder 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 cylinder given circumferential strain in cylinder can be measured.

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Longitudinal stress in cylinder given circumferential strain in cylinder Formula

​GoLongitudinal stress in wire due to fluid pressure Formula

Longitudinal stress in cylinder given circumferential strain in cylinder Example

Longitudinal stress in cylinder given circumferential strain in cylinder Solution

Longitudinal stress in cylinder given circumferential strain in cylinder Formula Elements

Other Formulas to find Longitudinal Stress

Other formulas in Stress category

How to Evaluate Longitudinal stress in cylinder given circumferential strain in cylinder?

FAQs on Longitudinal stress in cylinder given circumferential strain in cylinder

Variable Name

GoLongitudinal stress in wire due to fluid pressure Formula