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

GoInitial winding stress in wire given initial tensile force in wire Formula

GoInitial winding stress in wire given initial tensile force in wire and length of wire Formula

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Initial Winding Stress is the tensile stress produced in the winding wire. Check FAQs

σ w = \frac{F circumference \cdot (4 \cdot t)}{π \cdot G wire}

σ_w - Initial Winding Stress?F_{circumference} - Compressive Circumferential Stress?t - Thickness Of Wire?G_wire - 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.

3183.0989 = \frac{7.5 \cdot (4 \cdot 1200)}{3.1416 \cdot 3.6}

3183.0989MPa = \frac{7.5MPa \cdot (4 \cdot 1200mm)}{3.1416 \cdot 3.6mm}

3183.0989 = \frac{7.5 \cdot (4 \cdot 1200)}{3.1416 \cdot 3.6}

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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

σ w = \frac{F circumference \cdot (4 \cdot t)}{π \cdot G wire}

Next Step Substitute values of Variables

∴

σ w = \frac{7.5MPa \cdot (4 \cdot 1200mm)}{π \cdot 3.6mm}

Next Step Substitute values of Constants

∴

σ w = \frac{7.5MPa \cdot (4 \cdot 1200mm)}{3.1416 \cdot 3.6mm}

Next Step Convert Units

∴

σ w = \frac{7.5E+6Pa \cdot (4 \cdot 1.2m)}{3.1416 \cdot 0.0036m}

Next Step Prepare to Evaluate

∴

σ w = \frac{7.5E+6 \cdot (4 \cdot 1.2)}{3.1416 \cdot 0.0036}

Next Step Evaluate

∴

σ w = 3183098861.83791Pa

Next Step Convert to Output's Unit

∴

σ w = 3183.09886183791MPa

LAST Step Rounding Answer

∴

σ w = 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: σ_w

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Initial Winding Stress

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: F_{circumference}

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Compressive Circumferential Stress

Thickness Of Wire

Thickness Of Wire is the distance through a wire.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of Wire

Diameter of Wire

Diameter of Wire is the diameter of the wire in thread measurements.

Symbol: G_wire

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Wire

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

σ w = \frac{F}{(N \cdot ((\frac{π}{2}) \cdot ({G wire}^{2})))}

Go Initial winding stress in wire given initial tensile force in wire and length of wire

σ w = \frac{F}{L \cdot (\frac{π}{2}) \cdot G wire}

Go Initial winding stress in wire given resultant stress in wire

σ w = σ R - σ wf

Other formulas in Stress category

Go Longitudinal stress in thin cylindrical vessel given Longitudinal strain

σ l = ((ε longitudinal \cdot E)) + (𝛎 \cdot σ θ)

Go Efficiency of circumferential joint given longitudinal stress

η c = \frac{P i \cdot D i}{4 \cdot t}

Go Efficiency of longitudinal joint given hoop stress

η l = \frac{P i \cdot D i}{2 \cdot t}

Go Internal diameter of vessel given hoop stress and efficiency of longitudinal joint

D i = \frac{σ θ \cdot 2 \cdot t \cdot η l}{P i}

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 σ_w 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 (F_{circumference}), Thickness Of Wire (t) & Diameter of Wire (G_wire) 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 (F_{circumference}), Thickness Of Wire (t) & Diameter of Wire (G_wire) 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))))
Initial Winding Stress=Force/(Length of wire*(pi/2)*Diameter of Wire)
Initial Winding Stress=Resultant Stress-Stress in wire due to fluid pressure

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

​GoInitial winding stress in wire given initial tensile force in wire Formula

​GoInitial winding stress in wire given initial tensile force in wire and length of wire Formula

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

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

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

Other Formulas to find Initial Winding Stress

Other formulas in Stress category

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

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

Variable Name

GoInitial winding stress in wire given initial tensile force in wire Formula

GoInitial winding stress in wire given initial tensile force in wire and length of wire Formula