Diameter of 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%
✖Initial Winding Stress is the tensile stress produced in the winding wire.ⓘ Initial Winding Stress [σ_w]			+10% -10%

✖Diameter of Wire is the diameter of the wire in thread measurements.ⓘ Diameter of wire given compressive circumferential stress exerted by wire [G_wire]

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Diameter of wire given compressive circumferential stress exerted by wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Wire - (Measured in Meter) - Diameter of Wire is the diameter of the wire in thread measurements.
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.
Initial Winding Stress - (Measured in Pascal) - Initial Winding Stress is the tensile stress produced in the winding wire.

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)
Initial Winding Stress: 9 Megapascal --> 9000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_wire = (F_{circumference}*(4*t))/(pi*σ_w) --> (7500000*(4*1.2))/(pi*9000000)

Evaluating ... ...

G_wire = 1.27323954473516

STEP 3: Convert Result to Output's Unit

1.27323954473516 Meter -->1273.23954473516 Millimeter (Check conversion here)

FINAL ANSWER

1273.23954473516 ≈ 1273.24 Millimeter <-- Diameter of Wire

(Calculation completed in 00.006 seconds)

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National Institute Of Technology (NIT), Hamirpur

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

Diameter of wire given compressive circumferential stress exerted by wire

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

Diameter of wire given resisting force on wire

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

Diameter of wire given initial tensile force and length of wire

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

Diameter of wire given compressive circumferential stress exerted by wire Formula

LaTeX Go

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

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 Diameter of wire given compressive circumferential stress exerted by wire?

Diameter of wire given compressive circumferential stress exerted by wire calculator uses Diameter of Wire = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Initial Winding Stress) to calculate the Diameter of Wire, Diameter of wire given compressive circumferential stress exerted by wire is a chord that runs through the circle's center point. Diameter of Wire is denoted by G_wire symbol.

How to calculate Diameter of wire given compressive circumferential stress exerted by wire using this online calculator? To use this online calculator for Diameter of wire given compressive circumferential stress exerted by wire, enter Compressive Circumferential Stress (F_{circumference}), Thickness Of Wire (t) & Initial Winding Stress (σ_w) and hit the calculate button. Here is how the Diameter of wire given compressive circumferential stress exerted by wire calculation can be explained with given input values -> 1.3E+6 = (7500000*(4*1.2))/(pi*9000000).

FAQ

What is Diameter of wire given compressive circumferential stress exerted by wire?

Diameter of wire given compressive circumferential stress exerted by wire is a chord that runs through the circle's center point and is represented as G_wire = (F_{circumference}*(4*t))/(pi*σ_w) or Diameter of Wire = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Initial Winding 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, Thickness Of Wire is the distance through a wire & Initial Winding Stress is the tensile stress produced in the winding wire.

How to calculate Diameter of wire given compressive circumferential stress exerted by wire?

Diameter of wire given compressive circumferential stress exerted by wire is a chord that runs through the circle's center point is calculated using Diameter of Wire = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Initial Winding Stress). To calculate Diameter of wire given compressive circumferential stress exerted by wire, you need Compressive Circumferential Stress (F_{circumference}), Thickness Of Wire (t) & Initial Winding Stress (σ_w). With our tool, you need to enter the respective value for Compressive Circumferential Stress, Thickness Of Wire & Initial Winding Stress 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 Diameter of Wire?

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

Diameter of Wire = Force/(Length of wire*(pi/2)*Initial Winding Stress)
Diameter of Wire = Force/(Length of wire*(pi/2)*Stress in wire due to fluid pressure)
Diameter of Wire = ((Force/Length of wire)-(2*Thickness Of Wire*Circumferential Stress due to Fluid Pressure))/((pi/2)*Stress in wire due to fluid pressure)

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