Increase in initial radial width of disc given stresses Calculator

✖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 [𝛎]			+10% -10%
✖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%
✖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%
✖Initial radial width the starting radial distance or width at a particular point or state.ⓘ Initial Radial Width [d_r]			+10% -10%

✖Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence.ⓘ Increase in initial radial width of disc given stresses [Δr]

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Increase in initial radial width of disc given stresses Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Increase in Radial Width - (Measured in Meter) - Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence.
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.
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.
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.
Initial Radial Width - (Measured in Meter) - Initial radial width the starting radial distance or width at a particular point or state.

STEP 1: Convert Input(s) to Base Unit

Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Modulus of Elasticity of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Initial Radial Width: 3 Millimeter --> 0.003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δr = ((σ_r-(𝛎*σ_c))/E)*d_r --> ((100-(0.3*80))/8)*0.003

Evaluating ... ...

Δr = 0.0285

STEP 3: Convert Result to Output's Unit

0.0285 Meter -->28.5 Millimeter (Check conversion here)

FINAL ANSWER

28.5 Millimeter <-- Increase in Radial Width

(Calculation completed in 00.020 seconds)

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< Radial Width Calculators

Increase in initial radial width of disc given stresses

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

Increase in radial width given radial strain for rotating thin disc

Go Increase in Radial Width = Radial Strain*Initial Radial Width

Disc initial radial width given radial strain for rotating thin disc

Go Initial Radial Width = Final Radial Width/(Radial Strain+1)

Final radial width given radial strain for rotating thin disc

Go Final Radial Width = (Radial Strain+1)*Initial Radial Width

Increase in initial radial width of disc given stresses Formula

Increase in Radial Width = ((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc)*Initial Radial Width
Δr = ((σ_r-(𝛎*σ_c))/E)*d_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 Increase in initial radial width of disc given stresses?

Increase in initial radial width of disc given stresses calculator uses Increase in Radial Width = ((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc)*Initial Radial Width to calculate the Increase in Radial Width, Increase in initial radial width of disc given stresses formula is defined as a representation of how radial width changes in response to applied stresses, accounting for material properties such as elasticity and Poisson's ratio in rotating discs. Increase in Radial Width is denoted by Δr symbol.

How to calculate Increase in initial radial width of disc given stresses using this online calculator? To use this online calculator for Increase in initial radial width of disc given stresses, enter Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c), Modulus of Elasticity of Disc (E) & Initial Radial Width (d_r) and hit the calculate button. Here is how the Increase in initial radial width of disc given stresses calculation can be explained with given input values -> 28500 = ((100-(0.3*80))/8)*0.003.

FAQ

What is Increase in initial radial width of disc given stresses?

Increase in initial radial width of disc given stresses formula is defined as a representation of how radial width changes in response to applied stresses, accounting for material properties such as elasticity and Poisson's ratio in rotating discs and is represented as Δr = ((σ_r-(𝛎*σ_c))/E)*d_r or Increase in Radial Width = ((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc)*Initial Radial Width. 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, Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain, 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, 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 & Initial radial width the starting radial distance or width at a particular point or state.

How to calculate Increase in initial radial width of disc given stresses?

Increase in initial radial width of disc given stresses formula is defined as a representation of how radial width changes in response to applied stresses, accounting for material properties such as elasticity and Poisson's ratio in rotating discs is calculated using Increase in Radial Width = ((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc)*Initial Radial Width. To calculate Increase in initial radial width of disc given stresses, you need Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c), Modulus of Elasticity of Disc (E) & Initial Radial Width (d_r). With our tool, you need to enter the respective value for Radial Stress, Poisson's Ratio, Circumferential Stress, Modulus of Elasticity of Disc & Initial Radial Width 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 Radial Width?

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

Increase in Radial Width = Radial Strain*Initial Radial Width

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