Initial radial width of disc given stresses on disc Calculator

✖Increase in Radial Width is the increase in radial width due to strain.ⓘ Increase in Radial Width [du]			+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 [𝛎]			+10% -10%
✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+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%

✖Initial Radial Width is the radial width without any strain.ⓘ Initial radial width of disc given stresses on disc [dr]

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Formula

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Initial radial width of disc given stresses on disc

Formula

`"dr" = "du"/(("σ"_{"r"}-("𝛎"*"σ"_{"c"}))/"E")`

Example

`"0.357895mm"="3.4mm"/(("100N/m²"-("0.3"*"80N/m²"))/"8N/m²")`

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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)
dr = du/((σ_r-(𝛎*σ_c))/E)
This formula uses 6 Variables

Variables Used

Initial Radial Width - (Measured in Meter) - Initial Radial Width is the radial width without any strain.
Increase in Radial Width - (Measured in Meter) - Increase in Radial Width is the increase in radial width due to strain.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
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.
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.

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

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

Evaluating ... ...

dr = 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 00.020 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » 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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< 6 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

Initial radial width of disc given stresses on disc

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

Initial radial width given radial strain and increase in radial width for rotating thin disc

Go Initial Radial Width = Increase in Radial Width/Radial strain

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)
dr = du/((σ_r-(𝛎*σ_c))/E)

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, The Initial radial width of disc given stresses on disc formula is defined as half of the difference between the outer and inner diameter of the main body part. Initial Radial Width is denoted by dr 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 (du), 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?

The Initial radial width of disc given stresses on disc formula is defined as half of the difference between the outer and inner diameter of the main body part and is represented as dr = du/((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 is the increase in radial width due to strain, Radial Stress induced by a bending moment in a member of constant cross section, 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 is the force over area exerted circumferentially perpendicular to the axis and the radius & Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.

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

The Initial radial width of disc given stresses on disc formula is defined as half of the difference between the outer and inner diameter of the main body part 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 (du), 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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