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 = Δr/((σr-(𝛎*σc))/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 induced by a bending moment in a member of constant cross section.
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
dr = Δr/((σr-(𝛎*σc))/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 00.008 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

Initial radial width of disc given stresses on disc Formula

​Go
Initial Radial Width = Increase in Radial Width/((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc)
dr = Δr/((σr-(𝛎*σc))/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, 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 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 (Δr), Radial Stress r), Poisson's Ratio (𝛎), Circumferential Stress 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 dr = Δr/((σr-(𝛎*σc))/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 induced by a bending moment in a member of constant cross section, 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 r), Poisson's Ratio (𝛎), Circumferential Stress 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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