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Internal Pressure in Thick Cylinder given Radial Stress Formula

GoInternal Pressure in Thick Cylinder given Tangential Stress Formula

GoInternal Pressure in Thick Cylinder given Longitudinal Stress Formula

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Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder. Check FAQs

P i = \frac{σ r}{(\frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) + 1)}

P_i - Internal Pressure on Cylinder?σ_r - Radial Stress in Pressurized Cylinder?d_i - Inner Diameter of Pressurized Cylinder?d_o - Outer Diameter of Pressurized Cylinder?r - Radius of pressurized cylinder?

Internal Pressure in Thick Cylinder given Radial Stress Example

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Here is how the Internal Pressure in Thick Cylinder given Radial Stress equation looks like with Values.

Here is how the Internal Pressure in Thick Cylinder given Radial Stress equation looks like with Units.

Here is how the Internal Pressure in Thick Cylinder given Radial Stress equation looks like.

13.8008 = \frac{80}{(\frac{465^{2}}{(550^{2}) - (465^{2})}) \cdot ((\frac{550^{2}}{4 \cdot (240^{2})}) + 1)}

13.8008MPa = \frac{80N/mm²}{(\frac{{465mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})}) \cdot ((\frac{{550mm}^{2}}{4 \cdot ({240mm}^{2})}) + 1)}

13.8008 = \frac{80}{(\frac{465^{2}}{(550^{2}) - (465^{2})}) \cdot ((\frac{550^{2}}{4 \cdot (240^{2})}) + 1)}

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Internal Pressure in Thick Cylinder given Radial Stress Solution

Follow our step by step solution on how to calculate Internal Pressure in Thick Cylinder given Radial Stress?

FIRST Step Consider the formula

P i = \frac{σ r}{(\frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) + 1)}

Next Step Substitute values of Variables

∴

P i = \frac{80N/mm²}{(\frac{{465mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})}) \cdot ((\frac{{550mm}^{2}}{4 \cdot ({240mm}^{2})}) + 1)}

Next Step Convert Units

∴

P i = \frac{8E+7Pa}{(\frac{{0.465m}^{2}}{({0.55m}^{2}) - ({0.465m}^{2})}) \cdot ((\frac{{0.55m}^{2}}{4 \cdot ({0.24m}^{2})}) + 1)}

Next Step Prepare to Evaluate

∴

P i = \frac{8E+7}{(\frac{{0.465}^{2}}{({0.55}^{2}) - ({0.465}^{2})}) \cdot ((\frac{{0.55}^{2}}{4 \cdot ({0.24}^{2})}) + 1)}

Next Step Evaluate

∴

P i = 13800848.9858468Pa

Next Step Convert to Output's Unit

∴

P i = 13.8008489858468MPa

LAST Step Rounding Answer

∴

P i = 13.8008MPa

Internal Pressure in Thick Cylinder given Radial Stress Formula Elements

Variables

Internal Pressure on Cylinder

Internal pressure on cylinder is the amount of pressure of force per unit area acting onto the internal surface of a cylinder.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Internal Pressure on Cylinder

Radial Stress in Pressurized Cylinder

Radial stress in pressurized cylinder is defined as the stress produced in the curved surface of a cylinder radially when a cylinder object is subjected to internal pressure.

Symbol: σ_r

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Radial Stress in Pressurized Cylinder

Inner Diameter of Pressurized Cylinder

Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Pressurized Cylinder

Outer Diameter of Pressurized Cylinder

Outer diameter of pressurized cylinder is the diameter of the outer edge of a cylinder under pressure.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Pressurized Cylinder

Radius of pressurized cylinder

Radius of pressurized cylinder is a straight line from the center to the cylinder's base to the surface of the cylinder.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of pressurized cylinder

Other Formulas to find Internal Pressure on Cylinder

Go Internal Pressure in Thick Cylinder given Tangential Stress

P i = \frac{σ tang}{(\frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) + 1)}

Go Internal Pressure in Thick Cylinder given Longitudinal Stress

P i = σ l \cdot \frac{({d o}^{2}) - ({d i}^{2})}{{d i}^{2}}

Other formulas in Thick Cylinder Vessel category

Go Tangential Stress in Thick Cylinder subjected to Internal Pressure

σ tang = (P i \cdot \frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) + 1)

Go Radial Stress in Thick Cylinder subjected to Internal Pressure

σ r = (P i \cdot \frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d o}^{2}}{4 \cdot (r^{2})}) - 1)

Go Longitudinal Stress in Thick Cylinder subjected to Internal Pressure

σ l = (P i \cdot \frac{{d i}^{2}}{({d o}^{2}) - ({d i}^{2})})

Go Tangential Stress in Thick Cylinder subjected to External Pressure

σ tang = (P o \cdot \frac{{d o}^{2}}{({d o}^{2}) - ({d i}^{2})}) \cdot ((\frac{{d i}^{2}}{4 \cdot (r^{2})}) + 1)

How to Evaluate Internal Pressure in Thick Cylinder given Radial Stress?

Internal Pressure in Thick Cylinder given Radial Stress evaluator uses Internal Pressure on Cylinder = Radial Stress in Pressurized Cylinder/(((Inner Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2)))*(((Outer Diameter of Pressurized Cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)) to evaluate the Internal Pressure on Cylinder, Internal Pressure in Thick Cylinder given Radial Stress formula is defined as the pressure acting inside the cylindrical shaped vessel on its internal surface and walls. Internal Pressure on Cylinder is denoted by P_i symbol.

How to evaluate Internal Pressure in Thick Cylinder given Radial Stress using this online evaluator? To use this online evaluator for Internal Pressure in Thick Cylinder given Radial Stress, enter Radial Stress in Pressurized Cylinder (σ_r), Inner Diameter of Pressurized Cylinder (d_i), Outer Diameter of Pressurized Cylinder (d_o) & Radius of pressurized cylinder (r) and hit the calculate button.

FAQs on Internal Pressure in Thick Cylinder given Radial Stress

What is the formula to find Internal Pressure in Thick Cylinder given Radial Stress?

The formula of Internal Pressure in Thick Cylinder given Radial Stress is expressed as Internal Pressure on Cylinder = Radial Stress in Pressurized Cylinder/(((Inner Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2)))*(((Outer Diameter of Pressurized Cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)). Here is an example- 1.4E-5 = 80000000/(((0.465^2)/((0.55^2)-(0.465^2)))*(((0.55^2)/(4*(0.24^2)))+1)).

How to calculate Internal Pressure in Thick Cylinder given Radial Stress?

With Radial Stress in Pressurized Cylinder (σ_r), Inner Diameter of Pressurized Cylinder (d_i), Outer Diameter of Pressurized Cylinder (d_o) & Radius of pressurized cylinder (r) we can find Internal Pressure in Thick Cylinder given Radial Stress using the formula - Internal Pressure on Cylinder = Radial Stress in Pressurized Cylinder/(((Inner Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2)))*(((Outer Diameter of Pressurized Cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)).

What are the other ways to Calculate Internal Pressure on Cylinder?

Here are the different ways to Calculate Internal Pressure on Cylinder-

Internal Pressure on Cylinder=Tangential Stress in Pressurized Cylinder/(((Inner Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2)))*(((Outer Diameter of Pressurized Cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1))
Internal Pressure on Cylinder=Longitudinal Stress in Pressurized Cylinder*((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2))/(Inner Diameter of Pressurized Cylinder^2)

Can the Internal Pressure in Thick Cylinder given Radial Stress be negative?

No, the Internal Pressure in Thick Cylinder given Radial Stress, measured in Pressure cannot be negative.

Which unit is used to measure Internal Pressure in Thick Cylinder given Radial Stress?

Internal Pressure in Thick Cylinder given Radial Stress is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Internal Pressure in Thick Cylinder given Radial Stress can be measured.

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Internal Pressure in Thick Cylinder given Radial Stress Formula

​GoInternal Pressure in Thick Cylinder given Tangential Stress Formula

​GoInternal Pressure in Thick Cylinder given Longitudinal Stress Formula

Internal Pressure in Thick Cylinder given Radial Stress Example

Internal Pressure in Thick Cylinder given Radial Stress Solution

Internal Pressure in Thick Cylinder given Radial Stress Formula Elements

Other Formulas to find Internal Pressure on Cylinder

Other formulas in Thick Cylinder Vessel category

How to Evaluate Internal Pressure in Thick Cylinder given Radial Stress?

FAQs on Internal Pressure in Thick Cylinder given Radial Stress

Variable Name

GoInternal Pressure in Thick Cylinder given Tangential Stress Formula

GoInternal Pressure in Thick Cylinder given Longitudinal Stress Formula