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Change in radius of thick cylindrical shell given stresses and poison's ratio Formula

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

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

Δr - Change in radius?r_{cylindrical shell} - Radius Of Cylindrical Shell?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?

Change in radius of thick cylindrical shell given stresses and poison's ratio Example

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Here is how the Change in radius of thick cylindrical shell given stresses and poison's ratio equation looks like with Values.

Here is how the Change in radius of thick cylindrical shell given stresses and poison's ratio equation looks like with Units.

Here is how the Change in radius of thick cylindrical shell given stresses and poison's ratio equation looks like.

440 = 8000 \cdot (\frac{0.002 - (0.3 \cdot (0.08 - 0.55))}{2.6})

440mm = 8000mm \cdot (\frac{0.002MPa - (0.3 \cdot (0.08MPa - 0.55MPa))}{2.6MPa})

440 = 8000 \cdot (\frac{0.002 - (0.3 \cdot (0.08 - 0.55))}{2.6})

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Change in radius of thick cylindrical shell given stresses and poison's ratio Solution

Follow our step by step solution on how to calculate Change in radius of thick cylindrical shell given stresses and poison's ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Δr = 8000mm \cdot (\frac{0.002MPa - (0.3 \cdot (0.08MPa - 0.55MPa))}{2.6MPa})

Next Step Convert Units

∴

Δr = 8m \cdot (\frac{2000Pa - (0.3 \cdot (80000Pa - 550000Pa))}{2.6E+6Pa})

Next Step Prepare to Evaluate

∴

Δr = 8 \cdot (\frac{2000 - (0.3 \cdot (80000 - 550000))}{2.6E+6})

Next Step Evaluate

∴

Δr = 0.44m

LAST Step Convert to Output's Unit

∴

Δr = 440mm

Change in radius of thick cylindrical shell given stresses and poison's ratio Formula Elements

Variables

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

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

Hoop Stress on thick shell

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

Symbol: σ_θ

Measurement: StressUnit: MPa