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Diameter of thin spherical shell given hoop stress induced Formula

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Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder. Check FAQs

D i = \frac{σ θ \cdot (4 \cdot t)}{P i}

D_i - Inner Diameter of Cylinderical Vessel?σ_θ - Hoop Stress in Thin shell?t - Thickness Of Thin Shell?P_i - Internal Pressure?

Diameter of thin spherical shell given hoop stress induced Example

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Here is how the Diameter of thin spherical shell given hoop stress induced equation looks like with Values.

Here is how the Diameter of thin spherical shell given hoop stress induced equation looks like with Units.

Here is how the Diameter of thin spherical shell given hoop stress induced equation looks like.

991754.717 = \frac{25.03 \cdot (4 \cdot 525)}{0.053}

991754.717mm = \frac{25.03MPa \cdot (4 \cdot 525mm)}{0.053MPa}

991754.717 = \frac{25.03 \cdot (4 \cdot 525)}{0.053}

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Diameter of thin spherical shell given hoop stress induced Solution

Follow our step by step solution on how to calculate Diameter of thin spherical shell given hoop stress induced?

FIRST Step Consider the formula

D i = \frac{σ θ \cdot (4 \cdot t)}{P i}

Next Step Substitute values of Variables

∴

D i = \frac{25.03MPa \cdot (4 \cdot 525mm)}{0.053MPa}

Next Step Convert Units

∴

D i = \frac{2.5E+7Pa \cdot (4 \cdot 0.525m)}{53000Pa}

Next Step Prepare to Evaluate

∴

D i = \frac{2.5E+7 \cdot (4 \cdot 0.525)}{53000}

Next Step Evaluate

∴

D i = 991.754716981132m

Next Step Convert to Output's Unit

∴

D i = 991754.716981132mm

LAST Step Rounding Answer

∴

D i = 991754.717mm

Diameter of thin spherical shell given hoop stress induced Formula Elements

Variables

Inner Diameter of Cylinderical Vessel

Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Inner Diameter of Cylinderical Vessel

Hoop Stress in Thin shell

Hoop Stress in Thin 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 in Thin shell

Thickness Of Thin Shell

Thickness Of Thin 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 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

Other formulas in Thin Spherical Shells category

Go Hoop stress-induced in material of thin spherical shell

σ θ = (\frac{P i \cdot D i}{4 \cdot t})

Go Internal fluid pressure on thin spherical shell given Hoop stress induced

P i = \frac{σ θ \cdot (4 \cdot t)}{D i}

Go Thickness of thin spherical shell given hoop stress induced

t = (\frac{P i \cdot D i}{4 \cdot σ θ})

How to Evaluate Diameter of thin spherical shell given hoop stress induced?

Diameter of thin spherical shell given hoop stress induced evaluator uses Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Internal Pressure) to evaluate the Inner Diameter of Cylinderical Vessel, Diameter of thin spherical shell given hoop stress induced is a chord that runs through the circle's center point. It is the longest possible chord of any circle. Inner Diameter of Cylinderical Vessel is denoted by D_i symbol.

How to evaluate Diameter of thin spherical shell given hoop stress induced using this online evaluator? To use this online evaluator for Diameter of thin spherical shell given hoop stress induced, enter Hoop Stress in Thin shell (σ_θ), Thickness Of Thin Shell (t) & Internal Pressure (P_i) and hit the calculate button.

FAQs on Diameter of thin spherical shell given hoop stress induced

What is the formula to find Diameter of thin spherical shell given hoop stress induced?

The formula of Diameter of thin spherical shell given hoop stress induced is expressed as Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Internal Pressure). Here is an example- 1.1E+9 = (25030000*(4*0.525))/(53000).

How to calculate Diameter of thin spherical shell given hoop stress induced?

With Hoop Stress in Thin shell (σ_θ), Thickness Of Thin Shell (t) & Internal Pressure (P_i) we can find Diameter of thin spherical shell given hoop stress induced using the formula - Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*(4*Thickness Of Thin Shell))/(Internal Pressure).

Can the Diameter of thin spherical shell given hoop stress induced be negative?

Yes, the Diameter of thin spherical shell given hoop stress induced, measured in Length can be negative.

Which unit is used to measure Diameter of thin spherical shell given hoop stress induced?

Diameter of thin spherical shell given hoop stress induced is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of thin spherical shell given hoop stress induced can be measured.

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