FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Hoop stress given tensile circumferential strain for thick spherical shell Formula

GoHoop stress on thick spherical shell given compressive radial strain Formula

GoHoop stress on thick spherical shell given compressive radial strain and Poisson's ratio Formula

Fx Copy

LaTeX Copy

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

σ θ = \frac{(e 1 \cdot E) - (\frac{P v}{M})}{\frac{M - 1}{M}}

σ_θ - Hoop Stress on thick shell?e₁ - Circumferential Strain?E - Modulus of Elasticity Of Thick Shell?P_v - Radial Pressure?M - Mass Of Shell?

Hoop stress given tensile circumferential strain for thick spherical shell Example

With values

With units

Only example

Here is how the Hoop stress given tensile circumferential strain for thick spherical shell equation looks like with Values.

Here is how the Hoop stress given tensile circumferential strain for thick spherical shell equation looks like with Units.

Here is how the Hoop stress given tensile circumferential strain for thick spherical shell equation looks like.

6.6883 = \frac{(2.5 \cdot 2.6) - (\frac{0.014}{35.45})}{\frac{35.45 - 1}{35.45}}

6.6883MPa = \frac{(2.5 \cdot 2.6MPa) - (\frac{0.014MPa/m²}{35.45kg})}{\frac{35.45kg - 1}{35.45kg}}

6.6883 = \frac{(2.5 \cdot 2.6) - (\frac{0.014}{35.45})}{\frac{35.45 - 1}{35.45}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Hoop stress given tensile circumferential strain for thick spherical shell

Hoop stress given tensile circumferential strain for thick spherical shell Solution

Follow our step by step solution on how to calculate Hoop stress given tensile circumferential strain for thick spherical shell?

FIRST Step Consider the formula

σ θ = \frac{(e 1 \cdot E) - (\frac{P v}{M})}{\frac{M - 1}{M}}

Next Step Substitute values of Variables

∴

σ θ = \frac{(2.5 \cdot 2.6MPa) - (\frac{0.014MPa/m²}{35.45kg})}{\frac{35.45kg - 1}{35.45kg}}

Next Step Convert Units

∴

σ θ = \frac{(2.5 \cdot 2.6E+6Pa) - (\frac{14000Pa/m²}{35.45kg})}{\frac{35.45kg - 1}{35.45kg}}

Next Step Prepare to Evaluate

∴

σ θ = \frac{(2.5 \cdot 2.6E+6) - (\frac{14000}{35.45})}{\frac{35.45 - 1}{35.45}}

Next Step Evaluate

∴

σ θ = 6688272.85921626Pa

Next Step Convert to Output's Unit

∴

σ θ = 6.68827285921626MPa

LAST Step Rounding Answer

∴

σ θ = 6.6883MPa

Hoop stress given tensile circumferential strain for thick spherical shell Formula Elements

Variables

Hoop Stress on thick shell

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

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Hoop Stress on thick shell

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

Modulus of Elasticity Of Thick Shell

Modulus of Elasticity Of Thick 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 Thick Shell

Radial Pressure

Radial Pressure is pressure towards or away from the central axis of a component.

Symbol: P_v

Measurement: Radial PressureUnit: MPa/m²

Note: Value can be positive or negative.

Formulas to find Radial Pressure

Mass Of Shell

Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass Of Shell

Other Formulas to find Hoop Stress on thick shell

Go Hoop stress on thick spherical shell given compressive radial strain

σ θ = ((E \cdot ε compressive) - P v) \cdot \frac{M}{2}

Go Hoop stress on thick spherical shell given compressive radial strain and Poisson's ratio

σ θ = \frac{(E \cdot ε compressive) - P v}{2 \cdot 𝛎}

Go Hoop stress on thick spherical shell given tensile radial strain

σ θ = ((E \cdot ε tensile) - P v) \cdot \frac{M}{2}

Go Hoop stress on thick spherical shell given tensile radial strain and Poisson's ratio

σ θ = \frac{(E \cdot ε tensile) - P v}{2 \cdot 𝛎}

Other formulas in Thick Spherical Shells category

Go Compressive radial strain for thick spherical shells

ε compressive = \frac{P v + (2 \cdot \frac{σ θ}{M})}{F' c}

Go Radial pressure on thick spherical shell given compressive radial strain

P v = (F' c \cdot ε compressive) - (2 \cdot \frac{σ θ}{M})

Go Mass of thick spherical shell given compressive radial strain

M = \frac{2 \cdot σ θ}{(E \cdot ε compressive) - P v}

Go Modulus of elasticity for thick spherical shell given compressive radial strain

F' c = \frac{P v + (2 \cdot \frac{σ θ}{M})}{ε compressive}

How to Evaluate Hoop stress given tensile circumferential strain for thick spherical shell?

Hoop stress given tensile circumferential strain for thick spherical shell evaluator uses Hoop Stress on thick shell = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-(Radial Pressure/Mass Of Shell))/((Mass Of Shell-1)/Mass Of Shell) to evaluate the Hoop Stress on thick shell, Hoop stress given tensile circumferential strain for thick spherical shell formula is defined as a method to evaluate the internal stress experienced by a thick spherical shell under pressure. It helps in understanding the material's behavior and structural integrity in engineering applications. Hoop Stress on thick shell is denoted by σ_θ symbol.

How to evaluate Hoop stress given tensile circumferential strain for thick spherical shell using this online evaluator? To use this online evaluator for Hoop stress given tensile circumferential strain for thick spherical shell, enter Circumferential Strain (e₁), Modulus of Elasticity Of Thick Shell (E), Radial Pressure (P_v) & Mass Of Shell (M) and hit the calculate button.

FAQs on Hoop stress given tensile circumferential strain for thick spherical shell

What is the formula to find Hoop stress given tensile circumferential strain for thick spherical shell?

The formula of Hoop stress given tensile circumferential strain for thick spherical shell is expressed as Hoop Stress on thick shell = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-(Radial Pressure/Mass Of Shell))/((Mass Of Shell-1)/Mass Of Shell). Here is an example- 6.7E-6 = ((2.5*2600000)-(14000/35.45))/((35.45-1)/35.45).

How to calculate Hoop stress given tensile circumferential strain for thick spherical shell?

With Circumferential Strain (e₁), Modulus of Elasticity Of Thick Shell (E), Radial Pressure (P_v) & Mass Of Shell (M) we can find Hoop stress given tensile circumferential strain for thick spherical shell using the formula - Hoop Stress on thick shell = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-(Radial Pressure/Mass Of Shell))/((Mass Of Shell-1)/Mass Of Shell).

What are the other ways to Calculate Hoop Stress on thick shell?

Here are the different ways to Calculate Hoop Stress on thick shell-

Hoop Stress on thick shell=((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2
Hoop Stress on thick shell=((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)/(2*Poisson's Ratio)
Hoop Stress on thick shell=((Modulus of Elasticity Of Thick Shell*Tensile Strain)-Radial Pressure)*Mass Of Shell/2

Can the Hoop stress given tensile circumferential strain for thick spherical shell be negative?

No, the Hoop stress given tensile circumferential strain for thick spherical shell, measured in Stress cannot be negative.

Which unit is used to measure Hoop stress given tensile circumferential strain for thick spherical shell?

Hoop stress given tensile circumferential strain for thick spherical shell is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Hoop stress given tensile circumferential strain for thick spherical shell can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Hoop stress given tensile circumferential strain for thick spherical shell Formula

​GoHoop stress on thick spherical shell given compressive radial strain Formula

​GoHoop stress on thick spherical shell given compressive radial strain and Poisson's ratio Formula

Hoop stress given tensile circumferential strain for thick spherical shell Example

Hoop stress given tensile circumferential strain for thick spherical shell Solution

Hoop stress given tensile circumferential strain for thick spherical shell Formula Elements

Other Formulas to find Hoop Stress on thick shell

Other formulas in Thick Spherical Shells category

How to Evaluate Hoop stress given tensile circumferential strain for thick spherical shell?

FAQs on Hoop stress given tensile circumferential strain for thick spherical shell

Variable Name

GoHoop stress on thick spherical shell given compressive radial strain Formula

GoHoop stress on thick spherical shell given compressive radial strain and Poisson's ratio Formula