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Thickness of thin spherical shell given strain in any one direction Formula

GoThickness of spherical shell given change in diameter of thin spherical shells Formula

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Thickness Of Thin Spherical Shell is the distance through an object. Check FAQs

t = (\frac{P i \cdot D}{4 \cdot ε \cdot E}) \cdot (1 - 𝛎)

t - Thickness Of Thin Spherical Shell?P_i - Internal Pressure?D - Diameter of Sphere?ε - Strain in thin shell?E - Modulus of Elasticity Of Thin Shell?𝛎 - Poisson's Ratio?

Thickness of thin spherical shell given strain in any one direction Example

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Here is how the Thickness of thin spherical shell given strain in any one direction equation looks like with Values.

Here is how the Thickness of thin spherical shell given strain in any one direction equation looks like with Units.

Here is how the Thickness of thin spherical shell given strain in any one direction equation looks like.

0.4638 = (\frac{0.053 \cdot 1500}{4 \cdot 3 \cdot 10}) \cdot (1 - 0.3)

0.4638mm = (\frac{0.053MPa \cdot 1500mm}{4 \cdot 3 \cdot 10MPa}) \cdot (1 - 0.3)

0.4638 = (\frac{0.053 \cdot 1500}{4 \cdot 3 \cdot 10}) \cdot (1 - 0.3)

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Thickness of thin spherical shell given strain in any one direction Solution

Follow our step by step solution on how to calculate Thickness of thin spherical shell given strain in any one direction?

FIRST Step Consider the formula

t = (\frac{P i \cdot D}{4 \cdot ε \cdot E}) \cdot (1 - 𝛎)

Next Step Substitute values of Variables

∴

t = (\frac{0.053MPa \cdot 1500mm}{4 \cdot 3 \cdot 10MPa}) \cdot (1 - 0.3)

Next Step Convert Units

∴

t = (\frac{53000Pa \cdot 1.5m}{4 \cdot 3 \cdot 1E+7Pa}) \cdot (1 - 0.3)

Next Step Prepare to Evaluate

∴

t = (\frac{53000 \cdot 1.5}{4 \cdot 3 \cdot 1E+7}) \cdot (1 - 0.3)

Next Step Evaluate

∴

t = 0.00046375m

Next Step Convert to Output's Unit

∴

t = 0.46375mm

LAST Step Rounding Answer

∴

t = 0.4638mm

Thickness of thin spherical shell given strain in any one direction Formula Elements

Variables

Thickness Of Thin Spherical Shell

Thickness Of Thin Spherical Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of Thin Spherical Shell

Internal Pressure

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

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure

Diameter of Sphere

Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

Strain in thin shell

Strain in thin shell is simply the measure of how much an object is stretched or deformed.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Strain in thin shell

Modulus of Elasticity Of Thin Shell

Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thin Shell

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 Thickness Of Thin Spherical Shell

Go Thickness of spherical shell given change in diameter of thin spherical shells

t = (\frac{P i \cdot (D^{2})}{4 \cdot ∆d \cdot E}) \cdot (1 - 𝛎)

Other formulas in Change in Dimension of Thin Spherical Shell due to Internal Pressure category

Go Strain in any one direction of thin spherical shell

ε = (\frac{σ θ}{E}) \cdot (1 - 𝛎)

Go Hoop stress induced in thin spherical shell given strain in any one direction

σ θ = (\frac{ε}{1 - 𝛎}) \cdot E

Go Hoop stress in thin spherical shell given strain in any one direction and Poisson's ratio

σ θ = (\frac{ε}{1 - 𝛎}) \cdot E

Go Modulus of elasticity of thin spherical shell given strain in any one direction

E = (\frac{σ θ}{ε}) \cdot (1 - 𝛎)

How to Evaluate Thickness of thin spherical shell given strain in any one direction?

Thickness of thin spherical shell given strain in any one direction evaluator uses Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio) to evaluate the Thickness Of Thin Spherical Shell, The Thickness of thin spherical shell given strain in any one direction formula is defined as the distance through an object, as distinct from width or height. Thickness Of Thin Spherical Shell is denoted by t symbol.

How to evaluate Thickness of thin spherical shell given strain in any one direction using this online evaluator? To use this online evaluator for Thickness of thin spherical shell given strain in any one direction, enter Internal Pressure (P_i), Diameter of Sphere (D), Strain in thin shell (ε), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Thickness of thin spherical shell given strain in any one direction

What is the formula to find Thickness of thin spherical shell given strain in any one direction?

The formula of Thickness of thin spherical shell given strain in any one direction is expressed as Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio). Here is an example- 463.75 = ((53000*1.5)/(4*3*10000000))*(1-0.3).

How to calculate Thickness of thin spherical shell given strain in any one direction?

With Internal Pressure (P_i), Diameter of Sphere (D), Strain in thin shell (ε), Modulus of Elasticity Of Thin Shell (E) & Poisson's Ratio (𝛎) we can find Thickness of thin spherical shell given strain in any one direction using the formula - Thickness Of Thin Spherical Shell = ((Internal Pressure*Diameter of Sphere)/(4*Strain in thin shell*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio).

What are the other ways to Calculate Thickness Of Thin Spherical Shell?

Here are the different ways to Calculate Thickness Of Thin Spherical Shell-

Thickness Of Thin Spherical Shell=((Internal Pressure*(Diameter of Sphere^2))/(4*Change in Diameter*Modulus of Elasticity Of Thin Shell))*(1-Poisson's Ratio)

Can the Thickness of thin spherical shell given strain in any one direction be negative?

No, the Thickness of thin spherical shell given strain in any one direction, measured in Length cannot be negative.

Which unit is used to measure Thickness of thin spherical shell given strain in any one direction?

Thickness of thin spherical shell given strain in any one direction is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of thin spherical shell given strain in any one direction can be measured.

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Thickness of thin spherical shell given strain in any one direction Formula

​GoThickness of spherical shell given change in diameter of thin spherical shells Formula

Thickness of thin spherical shell given strain in any one direction Example

Thickness of thin spherical shell given strain in any one direction Solution

Thickness of thin spherical shell given strain in any one direction Formula Elements

Other Formulas to find Thickness Of Thin Spherical Shell

Other formulas in Change in Dimension of Thin Spherical Shell due to Internal Pressure category

How to Evaluate Thickness of thin spherical shell given strain in any one direction?

FAQs on Thickness of thin spherical shell given strain in any one direction

Variable Name

GoThickness of spherical shell given change in diameter of thin spherical shells Formula