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Radial Stress in Thick Cylinder subjected to Internal Pressure Formula

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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. Check FAQs

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)

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

Radial Stress in Thick Cylinder subjected to Internal Pressure Example

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

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

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

7.9997 = (10.2 \cdot \frac{465^{2}}{(550^{2}) - (465^{2})}) \cdot ((\frac{550^{2}}{4 \cdot (240^{2})}) - 1)

7.9997N/mm² = (10.2MPa \cdot \frac{{465mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})}) \cdot ((\frac{{550mm}^{2}}{4 \cdot ({240mm}^{2})}) - 1)

7.9997 = (10.2 \cdot \frac{465^{2}}{(550^{2}) - (465^{2})}) \cdot ((\frac{550^{2}}{4 \cdot (240^{2})}) - 1)

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Radial Stress in Thick Cylinder subjected to Internal Pressure Solution

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

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

σ r = (10.2MPa \cdot \frac{{465mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})}) \cdot ((\frac{{550mm}^{2}}{4 \cdot ({240mm}^{2})}) - 1)

Next Step Convert Units

∴

σ r = (1E+7Pa \cdot \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

∴

σ r = (1E+7 \cdot \frac{{0.465}^{2}}{({0.55}^{2}) - ({0.465}^{2})}) \cdot ((\frac{{0.55}^{2}}{4 \cdot ({0.24}^{2})}) - 1)

Next Step Evaluate

∴

σ r = 7999703.66379311Pa

Next Step Convert to Output's Unit

∴

σ r = 7.99970366379311N/mm²

LAST Step Rounding Answer

∴

σ r = 7.9997N/mm²

Radial Stress in Thick Cylinder subjected to Internal Pressure Formula Elements

Variables

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

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

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 Radial Stress in Pressurized Cylinder

Go Radial Stress in Thick Cylinder subjected to External Pressure

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

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})})

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

Radial Stress in Thick Cylinder subjected to Internal Pressure evaluator uses Radial Stress in Pressurized Cylinder = (Internal Pressure on 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 Radial Stress in Pressurized Cylinder, Radial Stress in Thick Cylinder subjected to Internal Pressure formula is defined as the stress acting in the walls of a thick cylinder due to the force acting along the radial direction of the cylinder. Radial Stress in Pressurized Cylinder is denoted by σ_r symbol.

How to evaluate Radial Stress in Thick Cylinder subjected to Internal Pressure using this online evaluator? To use this online evaluator for Radial Stress in Thick Cylinder subjected to Internal Pressure, enter Internal Pressure on Cylinder (P_i), 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 Radial Stress in Thick Cylinder subjected to Internal Pressure

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

The formula of Radial Stress in Thick Cylinder subjected to Internal Pressure is expressed as Radial Stress in Pressurized Cylinder = (Internal Pressure on 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- 8E-6 = (10200000*(0.465^2)/((0.55^2)-(0.465^2)))*(((0.55^2)/(4*(0.24^2)))-1).

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

With Internal Pressure on Cylinder (P_i), Inner Diameter of Pressurized Cylinder (d_i), Outer Diameter of Pressurized Cylinder (d_o) & Radius of pressurized cylinder (r) we can find Radial Stress in Thick Cylinder subjected to Internal Pressure using the formula - Radial Stress in Pressurized Cylinder = (Internal Pressure on 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 Radial Stress in Pressurized Cylinder?

Here are the different ways to Calculate Radial Stress in Pressurized Cylinder-

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

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

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

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

Radial Stress in Thick Cylinder subjected to Internal Pressure is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Radial Stress in Thick Cylinder subjected to Internal Pressure can be measured.

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Radial Stress in Thick Cylinder subjected to Internal Pressure Formula

​GoRadial Stress in Thick Cylinder subjected to External Pressure Formula

Radial Stress in Thick Cylinder subjected to Internal Pressure Example

Radial Stress in Thick Cylinder subjected to Internal Pressure Solution

Radial Stress in Thick Cylinder subjected to Internal Pressure Formula Elements

Other Formulas to find Radial Stress in Pressurized Cylinder

Other formulas in Thick Cylinder Vessel category

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

FAQs on Radial Stress in Thick Cylinder subjected to Internal Pressure

Variable Name

GoRadial Stress in Thick Cylinder subjected to External Pressure Formula