Poisson's ratio given radius of disc Calculator

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.ⓘ Increase in radius [R_i]			+10% -10%
✖Disc Radius is a radial line from the focus to any point of a curve.ⓘ Disc Radius [r_disc]			+10% -10%
✖Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus Of Elasticity Of Disc [E]			+10% -10%
✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%

✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's ratio given radius of disc [𝛎]

⎘ Copy

👎

Formula

LaTeX

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/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress
𝛎 = (σ_c-((R_i/r_disc)*E))/σ_r
This formula uses 6 Variables

Variables Used

Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Increase in radius - (Measured in Meter) - Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.
Disc Radius - (Measured in Meter) - Disc Radius is a radial line from the focus to any point of a curve.
Modulus Of Elasticity Of Disc - (Measured in Pascal) - Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.

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)
Disc Radius: 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-((R_i/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

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

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

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

Mean radius of cylinder given hoop stress in thin cylinder

LaTeX Go Disc Radius = 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*Disc Radius

Poisson's ratio given radius of disc Formula

LaTeX Go

Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress
𝛎 = (σ_c-((R_i/r_disc)*E))/σ_r

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/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress to calculate the Poisson's Ratio, The Poisson's ratio given radius of disc formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression. 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 (R_i), Disc Radius (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?

The Poisson's ratio given radius of disc formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression and is represented as 𝛎 = (σ_c-((R_i/r_disc)*E))/σ_r or Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress. Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius, Increase in radius is the increase in inner radius of outer cylinder of compound cylinder, Disc Radius is a radial line from the focus to any point of a curve, Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it & Radial Stress induced by a bending moment in a member of constant cross section.

How to calculate Poisson's ratio given radius of disc?

The Poisson's ratio given radius of disc formula is defined as a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression is calculated using Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*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 (R_i), Disc Radius (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, Disc Radius, 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, Disc Radius, 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