Circumferential stress given radius of disc Calculator

✖Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors.ⓘ Increase in Radius [ΔR]			+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%
✖Modulus of elasticity of disc refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces.ⓘ Modulus of Elasticity of Disc [E]			+10% -10%
✖Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.ⓘ Radial Stress [σ_r]			+10% -10%

✖Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.ⓘ Circumferential stress given radius of disc [e₁]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Circumferential stress given radius of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Strain = ((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress)
e₁ = ((ΔR/r_disc)*E)+(𝛎*σ_r)
This formula uses 6 Variables

Variables Used

Circumferential Strain - Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.
Increase in Radius - (Measured in Meter) - Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors.
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).
Modulus of Elasticity of Disc - (Measured in Pascal) - Modulus of elasticity of disc refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces.
Poisson's Ratio - Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.
Radial Stress - (Measured in Pascal) - Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.

STEP 1: Convert Input(s) to Base Unit

Increase in Radius: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Radius of Disc: 1000 Millimeter --> 1 Meter (Check conversion here)
Modulus of Elasticity of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = ((ΔR/r_disc)*E)+(𝛎*σ_r) --> ((0.0065/1)*8)+(0.3*100)

Evaluating ... ...

e₁ = 30.052

STEP 3: Convert Result to Output's Unit

30.052 --> No Conversion Required

FINAL ANSWER

30.052 <-- Circumferential Strain

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Circumferential Stress and Strain » Circumferential stress given radius of disc

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Circumferential Stress and Strain Calculators

Circumferential stress given circumferential strain on disc

LaTeX Go Circumferential Stress = (Circumferential Strain*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress)

Circumferential strain on disc given stresses

LaTeX Go Circumferential Strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus of Elasticity of Disc

Circumferential strain for rotating thin disc

LaTeX Go Circumferential Strain = (Final Circumference-Initial Circumference)/Initial Circumference

Circumferential strain for rotating thin disc given radius of disc

LaTeX Go Circumferential Strain = Increase in Radius/Radius of Disc

Circumferential stress given radius of disc Formula

LaTeX Go

Circumferential Strain = ((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress)
e₁ = ((ΔR/r_disc)*E)+(𝛎*σ_r)

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 Circumferential stress given radius of disc?

Circumferential stress given radius of disc calculator uses Circumferential Strain = ((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress) to calculate the Circumferential Strain, Circumferential stress given radius of disc formula is defined as a measure of the stress experienced by a rotating disc due to its geometry and material properties, which influences its structural integrity and performance under rotational forces. Circumferential Strain is denoted by e₁ symbol.

How to calculate Circumferential stress given radius of disc using this online calculator? To use this online calculator for Circumferential stress given radius of disc, enter Increase in Radius (ΔR), Radius of Disc (r_disc), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r) and hit the calculate button. Here is how the Circumferential stress given radius of disc calculation can be explained with given input values -> 30.052 = ((0.0065/1)*8)+(0.3*100).

FAQ

What is Circumferential stress given radius of disc?

Circumferential stress given radius of disc formula is defined as a measure of the stress experienced by a rotating disc due to its geometry and material properties, which influences its structural integrity and performance under rotational forces and is represented as e₁ = ((ΔR/r_disc)*E)+(𝛎*σ_r) or Circumferential Strain = ((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress). Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors, Radius of disc is the distance from the center of the disc to any point on its edge (circumference), Modulus of elasticity of disc refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces, Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain & Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.

How to calculate Circumferential stress given radius of disc?

Circumferential stress given radius of disc formula is defined as a measure of the stress experienced by a rotating disc due to its geometry and material properties, which influences its structural integrity and performance under rotational forces is calculated using Circumferential Strain = ((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress). To calculate Circumferential stress given radius of disc, you need Increase in Radius (ΔR), Radius of Disc (r_disc), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r). With our tool, you need to enter the respective value for Increase in Radius, Radius of Disc, Modulus of Elasticity of Disc, Poisson's Ratio & Radial Stress 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 Circumferential Strain?

In this formula, Circumferential Strain uses Increase in Radius, Radius of Disc, Modulus of Elasticity of Disc, Poisson's Ratio & Radial Stress. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumferential Strain = (Final Circumference-Initial Circumference)/Initial Circumference
Circumferential Strain = Increase in Radius/Radius of Disc
Circumferential Strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus of Elasticity of Disc

Home

FREE PDFs

🔍 Search