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

✖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.ⓘ Compressive Circumferential Stress [F_{circumference}]			+10% -10%
✖Thickness Of Wire is the distance through a wire.ⓘ Thickness Of Wire [t]			+10% -10%
✖Diameter of Wire is the diameter of the wire in thread measurements.ⓘ Diameter of Wire [G_wire]			+10% -10%

✖Initial Winding Stress is the tensile stress produced in the winding wire.ⓘ Initial winding stress in wire given compressive circumferential stress exerted by wire [σ_w]

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Formula

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

Formula

`"σ"_{"w"} = ("F"_{"circumference"}*(4*"t"))/(pi*"G"_{"wire"})`

Example

`"3183.099MPa"=("7.5MPa"*(4*"1200mm"))/(pi*"3.6mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire)
σ_w = (F_{circumference}*(4*t))/(pi*G_wire)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Initial Winding Stress - (Measured in Pascal) - Initial Winding Stress is the tensile stress produced in the winding wire.
Compressive Circumferential Stress - (Measured in Pascal) - 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.
Thickness Of Wire - (Measured in Meter) - Thickness Of Wire is the distance through a wire.
Diameter of Wire - (Measured in Meter) - Diameter of Wire is the diameter of the wire in thread measurements.

STEP 1: Convert Input(s) to Base Unit

Compressive Circumferential Stress: 7.5 Megapascal --> 7500000 Pascal (Check conversion here)
Thickness Of Wire: 1200 Millimeter --> 1.2 Meter (Check conversion here)
Diameter of Wire: 3.6 Millimeter --> 0.0036 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_w = (F_{circumference}*(4*t))/(pi*G_wire) --> (7500000*(4*1.2))/(pi*0.0036)

Evaluating ... ...

σ_w = 3183098861.83791

STEP 3: Convert Result to Output's Unit

3183098861.83791 Pascal -->3183.09886183791 Megapascal (Check conversion here)

FINAL ANSWER

3183.09886183791 ≈ 3183.099 Megapascal <-- Initial Winding Stress

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 21 Stress Calculators

Circumferential stress in cylinder due to fluid given bursting force due to fluid pressure

Go Circumferential stress due to fluid pressure = ((Force/Length of wire)-((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure))/(2*Thickness Of Wire)

Stress in wire due to fluid pressure given bursting force due to fluid pressure

Go Stress in wire due to fluid pressure = ((Force/Length of wire)-(2*Thickness Of Wire*Circumferential stress due to fluid pressure))/((pi/2)*Diameter of Wire)

Longitudinal stress in cylinder given circumferential strain in cylinder

Go Longitudinal Stress = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Poisson's Ratio)

Circumferential stress in cylinder given circumferential strain in cylinder

Go Circumferential stress due to fluid pressure = (Circumferential strain*Young's Modulus Cylinder)+(Poisson's Ratio*Longitudinal Stress)

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

Go Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire)

Compressive circumferential stress exerted by wire given initial winding stress in wire

Go Compressive Circumferential Stress = (pi*Diameter of Wire*Initial Winding Stress)/(4*Thickness Of Wire)

Initial winding stress in wire given initial tensile force in wire

Go Initial Winding Stress = Force/((Number of turns of wire*((pi/2)*(Diameter of Wire^2))))

Stress in wire due to fluid pressure given resisting force on wire and diameter of wire

Go Stress in wire due to fluid pressure = Force/(Length of wire*(pi/2)*Diameter of Wire)

Stress in wire due to fluid pressure given resisting force of wire per cm length

Go Stress in wire due to fluid pressure = (2*Force)/(Length of wire*pi*Diameter of Wire)

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

Go Initial Winding Stress = Force/(Length of wire*(pi/2)*Diameter of Wire)

Stress in wire due to fluid pressure given resisting force on wire

Go Stress in wire due to fluid pressure = Force/(Number of turns of wire*(2*Cross-Sectional Area Wire))

Compressive circumferential stress exerted by wire on cylinder given compressive force

Go Compressive Circumferential Stress = Compressive Force/(2*Length of wire*Thickness Of Wire)

Circumferential stress due to fluid pressure given resisting force of cylinder

Go Circumferential stress due to fluid pressure = Force/(2*Length of wire*Thickness Of Wire)

Longitudinal stress in wire due to fluid pressure

Go Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire))

Compressive circumferential stress exerted by wire given resultant stress in cylinder

Go Compressive Circumferential Stress = Circumferential stress due to fluid pressure-Resultant Stress

Circumferential stress due to fluid pressure given resultant stress in cylinder

Go Circumferential stress due to fluid pressure = Resultant Stress+Compressive Circumferential Stress

Resultant stress in cylinder

Go Resultant Stress = Circumferential stress due to fluid pressure-Compressive Circumferential Stress

Stress developed in wire due to fluid pressure given strain in wire

Go Stress in wire due to fluid pressure = Young's Modulus Cylinder*Stress in Component

Stress developed in wire due to fluid pressure given resultant stress in wire

Go Stress in wire due to fluid pressure = Resultant Stress-Initial Winding Stress

Initial winding stress in wire given resultant stress in wire

Go Initial Winding Stress = Resultant Stress-Stress in wire due to fluid pressure

Resultant stress in wire

Go Resultant Stress = Initial Winding Stress+Stress in wire due to fluid pressure

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

Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire)
σ_w = (F_{circumference}*(4*t))/(pi*G_wire)

What is meant by circumferential stress?

Circumferential stress, or hoop stress, normal stress in the tangential (azimuth) direction. axial stress, a normal stress parallel to the axis of cylindrical symmetry. radial stress, normal stress in directions coplanar with but perpendicular to the symmetry axis.

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

Initial winding stress in wire given compressive circumferential stress exerted by wire calculator uses Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire) to calculate 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 calculate Initial winding stress in wire given compressive circumferential stress exerted by wire using this online calculator? To use this online calculator 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. Here is how the Initial winding stress in wire given compressive circumferential stress exerted by wire calculation can be explained with given input values -> 0.003183 = (7500000*(4*1.2))/(pi*0.0036).

FAQ

What is Initial winding stress in wire given compressive circumferential stress exerted by wire?

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 and is represented as σ_w = (F_{circumference}*(4*t))/(pi*G_wire) or Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire). 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, Thickness Of Wire is the distance through a wire & Diameter of Wire is the diameter of the wire in thread measurements.

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

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 is calculated using Initial Winding Stress = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Diameter of Wire). To calculate Initial winding stress in wire given compressive circumferential stress exerted by wire, you need Compressive Circumferential Stress (F_{circumference}), Thickness Of Wire (t) & Diameter of Wire (G_wire). With our tool, you need to enter the respective value for Compressive Circumferential Stress, Thickness Of Wire & Diameter of Wire 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 Winding Stress?

In this formula, Initial Winding Stress uses Compressive Circumferential Stress, Thickness Of Wire & Diameter of Wire. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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