Initial radial width of disc given stresses on disc Calculator

✖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 Radial Width [Δr]			+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 [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 of disc given stresses on disc [d_r]

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Initial radial width of disc given stresses on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Initial Radial Width - (Measured in Meter) - Initial radial width the starting radial distance or width at a particular point or state.
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.

STEP 1: Convert Input(s) to Base Unit

Increase in Radial Width: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_r = Δr/((σ_r-(𝛎*σ_c))/E) --> 0.0034/((100-(0.3*80))/8)

Evaluating ... ...

d_r = 0.000357894736842105

STEP 3: Convert Result to Output's Unit

0.000357894736842105 Meter -->0.357894736842105 Millimeter (Check conversion here)

FINAL ANSWER

0.357894736842105 ≈ 0.357895 Millimeter <-- Initial Radial Width

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Radial Width » Initial radial width of disc given stresses on disc

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National Institute Of Technology (NIT), Hamirpur

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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

Initial radial width of disc given stresses on disc Formula

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

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 Initial radial width of disc given stresses on disc?

Initial radial width of disc given stresses on disc calculator uses Initial Radial Width = Increase in Radial Width/((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc) to calculate the Initial Radial Width, Initial radial width of disc given stresses on disc formula is defined as a method to determine the radial width of a rotating disc based on the stresses acting on it, considering material properties and stress distribution. Initial Radial Width is denoted by d_r symbol.

How to calculate Initial radial width of disc given stresses on disc using this online calculator? To use this online calculator for Initial radial width of disc given stresses on disc, enter Increase in Radial Width (Δr), Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Modulus of Elasticity of Disc (E) and hit the calculate button. Here is how the Initial radial width of disc given stresses on disc calculation can be explained with given input values -> 357.8947 = 0.0034/((100-(0.3*80))/8).

FAQ

What is Initial radial width of disc given stresses on disc?

Initial radial width of disc given stresses on disc formula is defined as a method to determine the radial width of a rotating disc based on the stresses acting on it, considering material properties and stress distribution and is represented as d_r = Δr/((σ_r-(𝛎*σ_c))/E) or Initial Radial Width = Increase in Radial Width/((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc). 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 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.

How to calculate Initial radial width of disc given stresses on disc?

Initial radial width of disc given stresses on disc formula is defined as a method to determine the radial width of a rotating disc based on the stresses acting on it, considering material properties and stress distribution is calculated using Initial Radial Width = Increase in Radial Width/((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc). To calculate Initial radial width of disc given stresses on disc, you need Increase in Radial Width (Δr), Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Modulus of Elasticity of Disc (E). With our tool, you need to enter the respective value for Increase in Radial Width, Radial Stress, Poisson's Ratio, Circumferential Stress & Modulus of Elasticity 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 Initial Radial Width?

In this formula, Initial Radial Width uses Increase in Radial Width, Radial Stress, Poisson's Ratio, Circumferential Stress & Modulus of Elasticity of Disc. We can use 2 other way(s) to calculate the same, which is/are as follows -

Initial Radial Width = Final Radial Width/(Radial Strain+1)
Initial Radial Width = Increase in Radial Width/Radial Strain

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