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)
Gwire = (Fcircumference*(4*t))/(pi*σw)
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
Gwire = (Fcircumference*(4*t))/(pi*σw) --> (7500000*(4*1.2))/(pi*9000000)
Evaluating ... ...
Gwire = 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 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

7 Diameter of Wire Calculators

Diameter of wire given bursting force due to fluid pressure
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 initial tensile force in wire
Go Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress))
Diameter of wire given compressive circumferential stress exerted by wire
Go Diameter of Wire = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Initial Winding Stress)
Diameter of wire given resisting force of wire per cm length
Go Diameter of Wire = (2*Force)/(Length of wire*pi*Stress in wire due to fluid pressure)
Diameter of wire given resisting force on wire
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
Go Diameter of Wire = Force/(Length of wire*(pi/2)*Initial Winding Stress)
Diameter of wire given number of turns of wire in length L
Go Diameter of Wire = Length of wire/Number of turns of wire

Diameter of wire given compressive circumferential stress exerted by wire Formula

Diameter of Wire = (Compressive Circumferential Stress*(4*Thickness Of Wire))/(pi*Initial Winding Stress)
Gwire = (Fcircumference*(4*t))/(pi*σw)

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 Gwire 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 (Fcircumference), Thickness Of Wire (t) & Initial Winding Stress 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 Gwire = (Fcircumference*(4*t))/(pi*σw) 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 (Fcircumference), Thickness Of Wire (t) & Initial Winding Stress 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 6 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)
  • Diameter of Wire = sqrt(Force/((Number of turns of wire*((pi/2)))*Initial Winding Stress))
  • Diameter of Wire = Length of wire/Number of turns of wire
  • Diameter of Wire = (2*Force)/(Length of wire*pi*Stress in wire due to fluid pressure)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!