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Initial Winding Stress is the tensile stress produced in the winding wire. Check FAQs
σw=Fcircumference(4t)πGwire
σw - Initial Winding Stress?Fcircumference - Compressive Circumferential Stress?t - Thickness Of Wire?Gwire - Diameter of Wire?π - Archimedes' constant?

Initial winding stress in wire given compressive circumferential stress exerted by wire Example

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Here is how the Initial winding stress in wire given compressive circumferential stress exerted by wire equation looks like with Values.

Here is how the Initial winding stress in wire given compressive circumferential stress exerted by wire equation looks like with Units.

Here is how the Initial winding stress in wire given compressive circumferential stress exerted by wire equation looks like.

3183.0989Edit=7.5Edit(41200Edit)3.14163.6Edit
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Initial winding stress in wire given compressive circumferential stress exerted by wire Solution

Follow our step by step solution on how to calculate Initial winding stress in wire given compressive circumferential stress exerted by wire?

FIRST Step Consider the formula
σw=Fcircumference(4t)πGwire
Next Step Substitute values of Variables
σw=7.5MPa(41200mm)π3.6mm
Next Step Substitute values of Constants
σw=7.5MPa(41200mm)3.14163.6mm
Next Step Convert Units
σw=7.5E+6Pa(41.2m)3.14160.0036m
Next Step Prepare to Evaluate
σw=7.5E+6(41.2)3.14160.0036
Next Step Evaluate
σw=3183098861.83791Pa
Next Step Convert to Output's Unit
σw=3183.09886183791MPa
LAST Step Rounding Answer
σw=3183.0989MPa

Initial winding stress in wire given compressive circumferential stress exerted by wire Formula Elements

Variables
Constants
Initial Winding Stress
Initial Winding Stress is the tensile stress produced in the winding wire.
Symbol: σw
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Compressive Circumferential Stress
Compressive Circumferential Stress or hoop stress is a normal stress in the tangential (azimuth) direction. axial stress, a normal stress parallel to the axis of cylindrical symmetry.
Symbol: Fcircumference
Measurement: PressureUnit: MPa
Note: Value can be positive or negative.
Thickness Of Wire
Thickness Of Wire is the distance through a wire.
Symbol: t
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Diameter of Wire
Diameter of Wire is the diameter of the wire in thread measurements.
Symbol: Gwire
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Initial Winding Stress

​Go Initial winding stress in wire given initial tensile force in wire
σw=F(N((π2)(Gwire2)))
​Go Initial winding stress in wire given initial tensile force in wire and length of wire
σw=FL(π2)Gwire
​Go Initial winding stress in wire given resultant stress in wire
σw=σR-σwf

Other formulas in Stress category

​Go Circumferential stress due to fluid pressure given resisting force of cylinder
σc=F2Lt
​Go Circumferential stress due to fluid pressure given resultant stress in cylinder
σc=σR+Fcircumference
​Go Circumferential stress in cylinder given circumferential strain in cylinder
σc=(e1E)+(𝛎σl)
​Go Circumferential stress in cylinder due to fluid given bursting force due to fluid pressure
σc=(FL)-((π2)Gwireσwf)2t

How to Evaluate Initial winding stress in wire given compressive circumferential stress exerted by wire?

Initial winding stress in wire given compressive circumferential stress exerted by wire evaluator uses Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire) to evaluate the Initial Winding Stress, The Initial winding stress in wire given compressive circumferential stress exerted by wire formula is defined as the elongation of the material when a stretching force is applied along with the axis of applied force. Initial Winding Stress is denoted by σw symbol.

How to evaluate Initial winding stress in wire given compressive circumferential stress exerted by wire using this online evaluator? To use this online evaluator for Initial winding stress in wire given compressive circumferential stress exerted by wire, enter Compressive Circumferential Stress (Fcircumference), Thickness Of Wire (t) & Diameter of Wire (Gwire) and hit the calculate button.

FAQs on Initial winding stress in wire given compressive circumferential stress exerted by wire

What is the formula to find Initial winding stress in wire given compressive circumferential stress exerted by wire?
The formula of Initial winding stress in wire given compressive circumferential stress exerted by wire is expressed as Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire). Here is an example- 0.003183 = (7500000*(4*1.2))/(pi*0.0036).
How to calculate Initial winding stress in wire given compressive circumferential stress exerted by wire?
With Compressive Circumferential Stress (Fcircumference), Thickness Of Wire (t) & Diameter of Wire (Gwire) we can find Initial winding stress in wire given compressive circumferential stress exerted by wire using the formula - Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire). This formula also uses Archimedes' constant .
What are the other ways to Calculate Initial Winding Stress?
Here are the different ways to Calculate Initial Winding Stress-
  • Initial Winding Stress=Force/((Number of turns of wire*((pi/2)*(Diameter of Wire^2))))OpenImg
  • Initial Winding Stress=Force/(Length of wire*(pi/2)*Diameter of Wire)OpenImg
  • Initial Winding Stress=Resultant Stress-Stress in wire due to fluid pressureOpenImg
Can the Initial winding stress in wire given compressive circumferential stress exerted by wire be negative?
No, the Initial winding stress in wire given compressive circumferential stress exerted by wire, measured in Pressure cannot be negative.
Which unit is used to measure Initial winding stress in wire given compressive circumferential stress exerted by wire?
Initial winding stress in wire given compressive circumferential stress exerted by wire is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Initial winding stress in wire given compressive circumferential stress exerted by wire can be measured.
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