FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Internal Pressure in Thick Cylinder given Longitudinal Stress Formula

GoInternal Pressure in Thick Cylinder given Tangential Stress Formula

GoInternal Pressure in Thick Cylinder given Radial Stress Formula

Fx Copy

LaTeX Copy

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

P_i - Internal pressure on cylinder?σ_l - Longitudinal stress in pressurized cylinder?d_o - Outer diameter of pressurized cylinder?d_i - Inner diameter of pressurized cylinder?

Internal Pressure in Thick Cylinder given Longitudinal Stress Example

With values

With units

Only example

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

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

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

27.1324 = 68 \cdot \frac{(550^{2}) - (465^{2})}{465^{2}}

27.1324MPa = 68N/mm² \cdot \frac{({550mm}^{2}) - ({465mm}^{2})}{{465mm}^{2}}

27.1324 = 68 \cdot \frac{(550^{2}) - (465^{2})}{465^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Internal Pressure in Thick Cylinder given Longitudinal Stress

Internal Pressure in Thick Cylinder given Longitudinal Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P i = 68N/mm² \cdot \frac{({550mm}^{2}) - ({465mm}^{2})}{{465mm}^{2}}

Next Step Convert Units

∴

P i = 6.8E+7Pa \cdot \frac{({0.55m}^{2}) - ({0.465m}^{2})}{{0.465m}^{2}}

Next Step Prepare to Evaluate

∴

P i = 6.8E+7 \cdot \frac{({0.55}^{2}) - ({0.465}^{2})}{{0.465}^{2}}

Next Step Evaluate

∴

P i = 27132385.2468493Pa

Next Step Convert to Output's Unit

∴

P i = 27.1323852468493MPa

LAST Step Rounding Answer

∴

P i = 27.1324MPa

Internal Pressure in Thick Cylinder given Longitudinal 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

Longitudinal stress in pressurized cylinder

Longitudinal stress in pressurized cylinder is defined as the stress produced in curved surface of a cylinder parallel to central axis subjected to internal pressure.

Symbol: σ_l

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Longitudinal 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

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 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)}

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 Longitudinal Stress?

Internal Pressure in Thick Cylinder given Longitudinal Stress evaluator uses 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) to evaluate the Internal pressure on cylinder, Internal Pressure in Thick Cylinder given Longitudinal 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 Longitudinal Stress using this online evaluator? To use this online evaluator for Internal Pressure in Thick Cylinder given Longitudinal Stress, enter Longitudinal stress in pressurized cylinder (σ_l), Outer diameter of pressurized cylinder (d_o) & Inner diameter of pressurized cylinder (d_i) and hit the calculate button.

FAQs on Internal Pressure in Thick Cylinder given Longitudinal Stress

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

The formula of Internal Pressure in Thick Cylinder given Longitudinal Stress is expressed as 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). Here is an example- 2.7E-5 = 68000000*((0.55^2)-(0.465^2))/(0.465^2).

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

With Longitudinal stress in pressurized cylinder (σ_l), Outer diameter of pressurized cylinder (d_o) & Inner diameter of pressurized cylinder (d_i) we can find Internal Pressure in Thick Cylinder given Longitudinal Stress using the formula - 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).

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=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))

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

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

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

Internal Pressure in Thick Cylinder given Longitudinal 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 Longitudinal Stress can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Internal Pressure in Thick Cylinder given Longitudinal Stress Formula

​GoInternal Pressure in Thick Cylinder given Tangential Stress Formula

​GoInternal Pressure in Thick Cylinder given Radial Stress Formula

Internal Pressure in Thick Cylinder given Longitudinal Stress Example

Internal Pressure in Thick Cylinder given Longitudinal Stress Solution

Internal Pressure in Thick Cylinder given Longitudinal 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 Longitudinal Stress?

FAQs on Internal Pressure in Thick Cylinder given Longitudinal Stress

Variable Name

GoInternal Pressure in Thick Cylinder given Tangential Stress Formula

GoInternal Pressure in Thick Cylinder given Radial Stress Formula