Poisson's ratio given radius of disc Calculator

✖Circumferential stress is the stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖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%
✖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%

✖Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.ⓘ Poisson's ratio given radius of disc [𝛎]

⎘ Copy

👎

Formula

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Poisson's ratio given radius of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Poisson's Ratio - Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.
Circumferential Stress - (Measured in Pascal) - Circumferential stress is the stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure.
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.
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

Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
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)
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛎 = (σ_c-((ΔR/r_disc)*E))/σ_r --> (80-((0.0065/1)*8))/100

Evaluating ... ...

𝛎 = 0.79948

STEP 3: Convert Result to Output's Unit

0.79948 --> No Conversion Required

FINAL ANSWER

0.79948 <-- Poisson's Ratio

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Relation of Parameters » Poisson's ratio 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!

< Relation of Parameters Calculators

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

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

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

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

Mean radius of cylinder given hoop stress in thin cylinder

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

Hoop stress in thin cylinder

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

Poisson's ratio given radius of disc Formula

Poisson's Ratio = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/Radial Stress
𝛎 = (σ_c-((ΔR/r_disc)*E))/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 Poisson's ratio given radius of disc?

Poisson's ratio given radius of disc calculator uses Poisson's Ratio = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/Radial Stress to calculate the Poisson's Ratio, Poisson's ratio given radius of disc formula is defined as a measure of the relationship between lateral strain and axial stress in a rotating disc, providing insights into material behavior under rotational forces and stress conditions. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's ratio given radius of disc using this online calculator? To use this online calculator for Poisson's ratio given radius of disc, enter Circumferential Stress (σ_c), Increase in Radius (ΔR), Radius of Disc (r_disc), Modulus of Elasticity of Disc (E) & Radial Stress (σ_r) and hit the calculate button. Here is how the Poisson's ratio given radius of disc calculation can be explained with given input values -> 0.79948 = (80-((0.0065/1)*8))/100.

FAQ

What is Poisson's ratio given radius of disc?

Poisson's ratio given radius of disc formula is defined as a measure of the relationship between lateral strain and axial stress in a rotating disc, providing insights into material behavior under rotational forces and stress conditions and is represented as 𝛎 = (σ_c-((ΔR/r_disc)*E))/σ_r or Poisson's Ratio = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/Radial Stress. Circumferential stress is the stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure, 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 & 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 Poisson's ratio given radius of disc?

Poisson's ratio given radius of disc formula is defined as a measure of the relationship between lateral strain and axial stress in a rotating disc, providing insights into material behavior under rotational forces and stress conditions is calculated using Poisson's Ratio = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/Radial Stress. To calculate Poisson's ratio given radius of disc, you need Circumferential Stress (σ_c), Increase in Radius (ΔR), Radius of Disc (r_disc), Modulus of Elasticity of Disc (E) & Radial Stress (σ_r). With our tool, you need to enter the respective value for Circumferential Stress, Increase in Radius, Radius of Disc, Modulus of Elasticity of Disc & 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 Poisson's Ratio?

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

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

Home

FREE PDFs

🔍 Search