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External Pressure acting on Thick Cylinder given Radial Stress Formula

GoExternal Pressure acting on Thick Cylinder given Tangential Stress Formula

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

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

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

External Pressure acting on Thick Cylinder given Radial Stress Example

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Here is how the External Pressure acting on Thick Cylinder given Radial Stress equation looks like with Values.

Here is how the External Pressure acting on Thick Cylinder given Radial Stress equation looks like with Units.

Here is how the External Pressure acting on Thick Cylinder given Radial Stress equation looks like.

11.7703 = \frac{80}{(\frac{550^{2}}{(550^{2}) - (465^{2})}) \cdot ((\frac{465^{2}}{4 \cdot (240^{2})}) + 1)}

11.7703MPa = \frac{80N/mm²}{(\frac{{550mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})}) \cdot ((\frac{{465mm}^{2}}{4 \cdot ({240mm}^{2})}) + 1)}

11.7703 = \frac{80}{(\frac{550^{2}}{(550^{2}) - (465^{2})}) \cdot ((\frac{465^{2}}{4 \cdot (240^{2})}) + 1)}

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Machine Design » fx External Pressure acting on Thick Cylinder given Radial Stress

External Pressure acting on Thick Cylinder given Radial Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P o = 11770340.3626371Pa

Next Step Convert to Output's Unit

∴

P o = 11.7703403626371MPa

LAST Step Rounding Answer

∴

P o = 11.7703MPa

External Pressure acting on Thick Cylinder given Radial Stress Formula Elements

Variables

External Pressure on Cylinder

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

Symbol: P_o

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find External 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

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

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

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 External Pressure on Cylinder

Go External Pressure acting on Thick Cylinder given Tangential Stress

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

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 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 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 Internal Pressure in Thick Cylinder given Radial Stress

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)}

How to Evaluate External Pressure acting on Thick Cylinder given Radial Stress?

External Pressure acting on Thick Cylinder given Radial Stress evaluator uses External Pressure on Cylinder = Radial Stress in Pressurized Cylinder/(((Outer Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2)))*(((Inner Diameter of Pressurized Cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)) to evaluate the External Pressure on Cylinder, External Pressure acting on Thick Cylinder given Radial Stress formula is defined as the pressure acting onto the outside or the external surface of a pressure vessel. External Pressure on Cylinder is denoted by P_o symbol.

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

FAQs on External Pressure acting on Thick Cylinder given Radial Stress

What is the formula to find External Pressure acting on Thick Cylinder given Radial Stress?

The formula of External Pressure acting on Thick Cylinder given Radial Stress is expressed as External Pressure on Cylinder = Radial Stress in Pressurized Cylinder/(((Outer Diameter of Pressurized Cylinder^2)/((Outer Diameter of Pressurized Cylinder^2)-(Inner Diameter of Pressurized Cylinder^2)))*(((Inner Diameter of Pressurized Cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1)). Here is an example- 1.2E-5 = 80000000/(((0.55^2)/((0.55^2)-(0.465^2)))*(((0.465^2)/(4*(0.24^2)))+1)).

How to calculate External Pressure acting on Thick Cylinder given Radial Stress?

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

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

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

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

Can the External Pressure acting on Thick Cylinder given Radial Stress be negative?

No, the External Pressure acting on Thick Cylinder given Radial Stress, measured in Pressure cannot be negative.

Which unit is used to measure External Pressure acting on Thick Cylinder given Radial Stress?

External Pressure acting on 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 External Pressure acting on Thick Cylinder given Radial Stress can be measured.

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External Pressure acting on Thick Cylinder given Radial Stress Formula

​GoExternal Pressure acting on Thick Cylinder given Tangential Stress Formula

External Pressure acting on Thick Cylinder given Radial Stress Example

External Pressure acting on Thick Cylinder given Radial Stress Solution

External Pressure acting on Thick Cylinder given Radial Stress Formula Elements

Other Formulas to find External Pressure on Cylinder

Other formulas in Thick Cylinder Vessel category

How to Evaluate External Pressure acting on Thick Cylinder given Radial Stress?

FAQs on External Pressure acting on Thick Cylinder given Radial Stress

Variable Name

GoExternal Pressure acting on Thick Cylinder given Tangential Stress Formula