Hoop stress in thin cylinder Calculator

✖Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.ⓘ Density of Disc [ρ]			+10% -10%
✖Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis. It is the rate at which the angle of rotation changes with respect to time.ⓘ Angular Velocity [ω]			+10% -10%
✖Radius of disc is the distance from the center of the disc to any point on its edge (circumference).ⓘ Radius of Disc [r_disc]			+10% -10%

✖Hoop stress in disc is the stress that acts along the circumference of a disc, particularly when it is subjected to internal or external forces.ⓘ Hoop stress in thin cylinder [σ_θ]

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Hoop stress in thin cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc
σ_θ = ρ*ω*r_disc
This formula uses 4 Variables

Variables Used

Hoop Stress in Disc - (Measured in Pascal) - Hoop stress in disc is the stress that acts along the circumference of a disc, particularly when it is subjected to internal or external forces.
Density of Disc - (Measured in Kilogram per Cubic Meter) - Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout.
Angular Velocity - (Measured in Radian per Second) - Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis. It is the rate at which the angle of rotation changes with respect to time.
Radius of Disc - (Measured in Meter) - Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

STEP 1: Convert Input(s) to Base Unit

Density of Disc: 2 Kilogram per Cubic Meter --> 2 Kilogram per Cubic Meter No Conversion Required
Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required
Radius of Disc: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = ρ*ω*r_disc --> 2*11.2*1

Evaluating ... ...

σ_θ = 22.4

STEP 3: Convert Result to Output's Unit

22.4 Pascal -->22.4 Newton per Square Meter (Check conversion here)

FINAL ANSWER

22.4 Newton per Square Meter <-- Hoop Stress in Disc

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Relation of Parameters » Hoop stress in thin cylinder

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Relation of Parameters Calculators

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

LaTeX Go Angular Velocity = Hoop Stress in Disc/(Density of Disc*Radius of Disc)

Density of cylinder material given hoop stress (for thin cylinder)

LaTeX Go Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc)

Mean radius of cylinder given hoop stress in thin cylinder

LaTeX Go Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity)

Hoop stress in thin cylinder

LaTeX Go Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc

Hoop stress in thin cylinder Formula

LaTeX Go

Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc
σ_θ = ρ*ω*r_disc

What is the Allowable Stress?

Allowable stress, also known as allowable strength, is the maximum stress that a material or structure can safely withstand without experiencing failure or permanent deformation. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

What is Compression Stress Force?

Compression stress force is the stress that squeezes something. It is the stress component perpendicular to a given surface, such as a fault plane, that results from forces applied perpendicular to the surface or from remote forces transmitted through the surrounding rock.

How to Calculate Hoop stress in thin cylinder?

Hoop stress in thin cylinder calculator uses Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc to calculate the Hoop Stress in Disc, Hoop stress in thin cylinder formula is defined as a measure of the circumferential stress experienced by a thin-walled cylinder due to internal pressure or rotational forces, crucial for assessing structural integrity in mechanical applications. Hoop Stress in Disc is denoted by σ_θ symbol.

How to calculate Hoop stress in thin cylinder using this online calculator? To use this online calculator for Hoop stress in thin cylinder, enter Density of Disc (ρ), Angular Velocity (ω) & Radius of Disc (r_disc) and hit the calculate button. Here is how the Hoop stress in thin cylinder calculation can be explained with given input values -> 22.4 = 2*11.2*1.

FAQ

What is Hoop stress in thin cylinder?

Hoop stress in thin cylinder formula is defined as a measure of the circumferential stress experienced by a thin-walled cylinder due to internal pressure or rotational forces, crucial for assessing structural integrity in mechanical applications and is represented as σ_θ = ρ*ω*r_disc or Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc. Density of disc refers to the mass per unit area of the disc's surface, assuming a uniform material throughout, Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis. It is the rate at which the angle of rotation changes with respect to time & Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

How to calculate Hoop stress in thin cylinder?

Hoop stress in thin cylinder formula is defined as a measure of the circumferential stress experienced by a thin-walled cylinder due to internal pressure or rotational forces, crucial for assessing structural integrity in mechanical applications is calculated using Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc. To calculate Hoop stress in thin cylinder, you need Density of Disc (ρ), Angular Velocity (ω) & Radius of Disc (r_disc). With our tool, you need to enter the respective value for Density of Disc, Angular Velocity & Radius of Disc and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hoop Stress in Disc?

In this formula, Hoop Stress in Disc uses Density of Disc, Angular Velocity & Radius of Disc. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hoop Stress in Disc = Tangential Velocity*Density of Disc

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