Increase in radius of disc given stresses 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%
✖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%
✖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%
✖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%

✖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 of disc given stresses [ΔR]

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Increase in radius of disc given stresses Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.
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

Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Modulus of Elasticity of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Radius of Disc: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔR = ((σ_c-(𝛎*σ_r))/E)*r_disc --> ((80-(0.3*100))/8)*1

Evaluating ... ...

ΔR = 6.25

STEP 3: Convert Result to Output's Unit

6.25 Meter -->6250 Millimeter (Check conversion here)

FINAL ANSWER

6250 Millimeter <-- Increase in Radius

(Calculation completed in 00.008 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 » Increase in radius of disc given stresses

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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

Increase in radius of disc given stresses Formula

LaTeX Go

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

Increase in radius of disc given stresses calculator uses Increase in Radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus of Elasticity of Disc)*Radius of Disc to calculate the Increase in Radius, Increase in radius of disc given stresses formula is defined as a relationship that describes how the radius of a rotating disc changes in response to applied stresses, accounting for material properties and geometric factors. Increase in Radius is denoted by ΔR symbol.

How to calculate Increase in radius of disc given stresses using this online calculator? To use this online calculator for Increase in radius of disc given stresses, enter Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r), Modulus of Elasticity of Disc (E) & Radius of Disc (r_disc) and hit the calculate button. Here is how the Increase in radius of disc given stresses calculation can be explained with given input values -> 6.3E+6 = ((80-(0.3*100))/8)*1.

FAQ

What is Increase in radius of disc given stresses?

Increase in radius of disc given stresses formula is defined as a relationship that describes how the radius of a rotating disc changes in response to applied stresses, accounting for material properties and geometric factors and is represented as ΔR = ((σ_c-(𝛎*σ_r))/E)*r_disc or Increase in Radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus of Elasticity of Disc)*Radius of Disc. 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, 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, 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 & Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

How to calculate Increase in radius of disc given stresses?

Increase in radius of disc given stresses formula is defined as a relationship that describes how the radius of a rotating disc changes in response to applied stresses, accounting for material properties and geometric factors is calculated using Increase in Radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus of Elasticity of Disc)*Radius of Disc. To calculate Increase in radius of disc given stresses, you need Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r), Modulus of Elasticity of Disc (E) & Radius of Disc (r_disc). With our tool, you need to enter the respective value for Circumferential Stress, Poisson's Ratio, Radial Stress, Modulus of Elasticity of Disc & 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 Increase in Radius?

In this formula, Increase in Radius uses Circumferential Stress, Poisson's Ratio, Radial Stress, Modulus of Elasticity of Disc & Radius of Disc. We can use 1 other way(s) to calculate the same, which is/are as follows -

Increase in Radius = Circumferential Strain*Radius of Disc

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