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Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio Formula

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Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve. Check FAQs

r cylindrical shell = \frac{Δr}{\frac{σ θ - (𝛎 \cdot (σ l - σ c))}{E}}

r_{cylindrical shell} - Radius Of Cylindrical Shell?Δr - Change in radius?σ_θ - Hoop Stress on thick shell?𝛎 - Poisson's Ratio?σ_l - Longitudinal Stress Thick Shell?σ_c - Compressive Stress Thick Shell?E - Modulus of Elasticity Of Thick Shell?

Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio Example

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Here is how the Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio equation looks like with Values.

Here is how the Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio equation looks like with Units.

Here is how the Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio equation looks like.

363.6364 = \frac{20}{\frac{0.002 - (0.3 \cdot (0.08 - 0.55))}{2.6}}

363.6364mm = \frac{20mm}{\frac{0.002MPa - (0.3 \cdot (0.08MPa - 0.55MPa))}{2.6MPa}}

363.6364 = \frac{20}{\frac{0.002 - (0.3 \cdot (0.08 - 0.55))}{2.6}}

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Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio Solution

Follow our step by step solution on how to calculate Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio?

FIRST Step Consider the formula

r cylindrical shell = \frac{Δr}{\frac{σ θ - (𝛎 \cdot (σ l - σ c))}{E}}

Next Step Substitute values of Variables

∴

r cylindrical shell = \frac{20mm}{\frac{0.002MPa - (0.3 \cdot (0.08MPa - 0.55MPa))}{2.6MPa}}

Next Step Convert Units

∴

r cylindrical shell = \frac{0.02m}{\frac{2000Pa - (0.3 \cdot (80000Pa - 550000Pa))}{2.6E+6Pa}}

Next Step Prepare to Evaluate

∴

r cylindrical shell = \frac{0.02}{\frac{2000 - (0.3 \cdot (80000 - 550000))}{2.6E+6}}

Next Step Evaluate

∴

r cylindrical shell = 0.363636363636364m

Next Step Convert to Output's Unit

∴

r cylindrical shell = 363.636363636364mm

LAST Step Rounding Answer

∴

r cylindrical shell = 363.6364mm

Radius of thick cylindrical shell given stress on cylindrical shell and Poisson's ratio Formula Elements

Variables

Radius Of Cylindrical Shell

Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.

Symbol: r_{cylindrical shell}

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius Of Cylindrical Shell

Change in radius

Change in radius is the change in the radius of thick cylindrical shell due to applied stress.

Symbol: Δr

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Change in radius

Hoop Stress on thick shell

Hoop Stress on thick shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa