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Tangential Stress in Thick Cylinder subjected to External Pressure Formula

GoTangential Stress in Thick Cylinder subjected to Internal Pressure Formula

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Tangential stress in pressurized cylinder is the stress experienced by the cylinder walls when the direction of the deforming force is perpendicular to central axis. Check FAQs

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)

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

Tangential Stress in Thick Cylinder subjected to External Pressure Example

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

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

Here is how the Tangential Stress in Thick Cylinder subjected to External Pressure equation looks like.

54.374 = (8 \cdot \frac{550^{2}}{(550^{2}) - (465^{2})}) \cdot ((\frac{465^{2}}{4 \cdot (240^{2})}) + 1)

54.374N/mm² = (8MPa \cdot \frac{{550mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})}) \cdot ((\frac{{465mm}^{2}}{4 \cdot ({240mm}^{2})}) + 1)

54.374 = (8 \cdot \frac{550^{2}}{(550^{2}) - (465^{2})}) \cdot ((\frac{465^{2}}{4 \cdot (240^{2})}) + 1)

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Tangential Stress in Thick Cylinder subjected to External Pressure Solution

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

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

σ tang = (8MPa \cdot \frac{{550mm}^{2}}{({550mm}^{2}) - ({465mm}^{2})}) \cdot ((\frac{{465mm}^{2}}{4 \cdot ({240mm}^{2})}) + 1)

Next Step Convert Units

∴

σ tang = (8E+6Pa \cdot \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

∴

σ tang = (8E+6 \cdot \frac{{0.55}^{2}}{({0.55}^{2}) - ({0.465}^{2})}) \cdot ((\frac{{0.465}^{2}}{4 \cdot ({0.24}^{2})}) + 1)

Next Step Evaluate

∴

σ tang = 54373958.6351782Pa

Next Step Convert to Output's Unit

∴

σ tang = 54.3739586351782N/mm²

LAST Step Rounding Answer

∴

σ tang = 54.374N/mm²

Tangential Stress in Thick Cylinder subjected to External Pressure Formula Elements

Variables

Tangential Stress in Pressurized Cylinder

Tangential stress in pressurized cylinder is the stress experienced by the cylinder walls when the direction of the deforming force is perpendicular to central axis.

Symbol: σ_tang

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tangential Stress in Pressurized Cylinder

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

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 Tangential Stress in Pressurized Cylinder

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)

Other formulas in Thick Cylinder Vessel category

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)}

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 Tangential Stress in Thick Cylinder subjected to External Pressure?

Tangential Stress in Thick Cylinder subjected to External Pressure evaluator uses Tangential 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)))*(((Inner Diameter of Pressurized Cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1) to evaluate the Tangential Stress in Pressurized Cylinder, Tangential Stress in Thick Cylinder subjected to External Pressure formula is defined as the stress when the direction of the deforming force or external force is parallel to the cross-sectional area, the stress experienced by the object is called shearing stress or tangential stress. Tangential Stress in Pressurized Cylinder is denoted by σ_tang symbol.

How to evaluate Tangential Stress in Thick Cylinder subjected to External Pressure using this online evaluator? To use this online evaluator for Tangential Stress in Thick Cylinder subjected to External Pressure, enter External Pressure on Cylinder (P_o), 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 Tangential Stress in Thick Cylinder subjected to External Pressure

What is the formula to find Tangential Stress in Thick Cylinder subjected to External Pressure?

The formula of Tangential Stress in Thick Cylinder subjected to External Pressure is expressed as Tangential 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)))*(((Inner Diameter of Pressurized Cylinder^2)/(4*(Radius of pressurized cylinder^2)))+1). Here is an example- 5.4E-5 = (8000000*(0.55^2)/((0.55^2)-(0.465^2)))*(((0.465^2)/(4*(0.24^2)))+1).

How to calculate Tangential Stress in Thick Cylinder subjected to External Pressure?

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

What are the other ways to Calculate Tangential Stress in Pressurized Cylinder?

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

Tangential 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)

Can the Tangential Stress in Thick Cylinder subjected to External Pressure be negative?

No, the Tangential Stress in Thick Cylinder subjected to External Pressure, measured in Stress cannot be negative.

Which unit is used to measure Tangential Stress in Thick Cylinder subjected to External Pressure?

Tangential Stress in Thick Cylinder subjected to External 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 Tangential Stress in Thick Cylinder subjected to External Pressure can be measured.

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Tangential Stress in Thick Cylinder subjected to External Pressure Formula

​GoTangential Stress in Thick Cylinder subjected to Internal Pressure Formula

Tangential Stress in Thick Cylinder subjected to External Pressure Example

Tangential Stress in Thick Cylinder subjected to External Pressure Solution

Tangential Stress in Thick Cylinder subjected to External Pressure Formula Elements

Other Formulas to find Tangential Stress in Pressurized Cylinder

Other formulas in Thick Cylinder Vessel category

How to Evaluate Tangential Stress in Thick Cylinder subjected to External Pressure?

FAQs on Tangential Stress in Thick Cylinder subjected to External Pressure

Variable Name

GoTangential Stress in Thick Cylinder subjected to Internal Pressure Formula