Thickness of cylinder given compressive circumferential stress exerted by wire Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness Of Wire = (pi*Diameter of Wire*Initial Winding Stress)/(4*Compressive Circumferential Stress)
t = (pi*Gwire*σw)/(4*Fcircumference)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Diameter of Wire: 3.6 Millimeter --> 0.0036 Meter (Check conversion here)
Initial Winding Stress: 9 Megapascal --> 9000000 Pascal (Check conversion here)
Compressive Circumferential Stress: 7.5 Megapascal --> 7500000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = (pi*Gwirew)/(4*Fcircumference) --> (pi*0.0036*9000000)/(4*7500000)
Evaluating ... ...
t = 0.00339292006587698
STEP 3: Convert Result to Output's Unit
0.00339292006587698 Meter -->3.39292006587698 Millimeter (Check conversion here)
FINAL ANSWER
3.39292006587698 3.39292 Millimeter <-- Thickness Of Wire
(Calculation completed in 00.004 seconds)

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23 Wire Winding of Thin Cylinders Calculators

Thickness of cylinder given bursting force due to fluid pressure
Go Thickness Of Wire = ((Force/Length Of Cylindrical Shell)-((pi/2)*Diameter of Wire*Stress in wire because of fluid pressure))/(2*Circumferential stress due to fluid pressure)
Length of cylinder given bursting force due to fluid pressure
Go Length Of Cylindrical Shell = Force/(((2*Thickness Of Wire*Circumferential stress due to fluid pressure)+((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)))
Young's modulus for cylinder given circumferential strain in cylinder
Go Young's Modulus Cylinder = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Circumferential strain
Circumferential strain in cylinder
Go Circumferential strain = (Circumferential stress because of fluid pressure-(Poisson's Ratio*Longitudinal Stress))/Young's Modulus Cylinder
Poisson's ratio given circumferential strain in cylinder
Go Poisson's Ratio = (Circumferential stress due to fluid pressure-(Circumferential strain*Young's Modulus Cylinder))/(Longitudinal Stress)
Thickness of cylinder given compressive circumferential stress exerted by wire
Go Thickness Of Wire = (pi*Diameter of Wire*Initial Winding Stress)/(4*Compressive Circumferential Stress)
Length of cylinder given resisting force of wire per mm length
Go Length Of Cylindrical Shell = (2*Force)/(pi*Diameter of Wire*Stress in wire due to fluid pressure)
Number of turns in wire for length 'L' given initial tensile force in wire
Go Number of turns of wire = Force/((((pi/2)*(Diameter of Wire^2)))*Initial Winding Stress)
Length of wire given resisting force on wire and diameter of wire
Go Length of wire = Force/((pi/2)*Diameter of Wire*Stress in wire due to fluid pressure)
Length of cylinder given initial tensile force in wire
Go Length Of Cylindrical Shell = Force/((pi/2)*Diameter of Wire*Initial Winding Stress)
Thickness of cylinder given initial compressive force in cylinder for length 'L'
Go Thickness Of Wire = Compressive Force/(2*Length Of Cylindrical Shell*Compressive Circumferential Stress)
Length of cylinder given initial compressive force in cylinder for length L
Go Length Of Cylindrical Shell = Compressive Force/(2*Thickness Of Wire*Compressive Circumferential Stress)
Thickness of cylinder given resisting force of cylinder along longitudinal section
Go Thickness Of Wire = Force/(Circumferential stress due to fluid pressure*2*Length Of Cylindrical Shell)
Length of cylinder given resisting force of cylinder along longitudinal section
Go Length Of Cylindrical Shell = Force/(Circumferential stress due to fluid pressure*2*Thickness Of Wire)
Area of cross-section of wire given resisting force on wire
Go Cross-Sectional Area Wire = Force/(Number of turns of wire*(2)*Stress in wire due to fluid pressure)
Number of turns of wire given resisting force on wire
Go Number of turns of wire = Force/((2*Cross-Sectional Area Wire)*Stress in wire due to fluid pressure)
Internal fluid pressure given longitudinal stress in wire due to fluid pressure
Go Internal Pressure = (Longitudinal Stress*(4*Thickness Of Wire))/(Diameter of Cylinder)
Thickness of cylinder given longitudinal stress in wire due to fluid pressure
Go Thickness Of Wire = ((Internal Pressure*Diameter of Cylinder)/(4*Longitudinal Stress))
Diameter of cylinder given longitudinal stress in wire due to fluid pressure
Go Diameter of Cylinder = (Longitudinal Stress*(4*Thickness Of Wire))/(Internal Pressure)
Young's modulus for wire given strain in wire
Go Young's Modulus Cylinder = Stress in wire due to fluid pressure/Strain in thin shell
Strain in wire
Go Strain in thin shell = Stress in wire due to fluid pressure/Young's Modulus Cylinder
Length of cylinder given number of turns of wire in length 'L'
Go Length Of Cylindrical Shell = Number of turns of wire*Diameter of Wire
Number of turns of wire in length 'L'
Go Number of turns of wire = Length of wire/Diameter of Wire

Thickness of cylinder given compressive circumferential stress exerted by wire Formula

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

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 Thickness of cylinder given compressive circumferential stress exerted by wire?

Thickness of cylinder given compressive circumferential stress exerted by wire calculator uses Thickness Of Wire = (pi*Diameter of Wire*Initial Winding Stress)/(4*Compressive Circumferential Stress) to calculate the Thickness Of Wire, Thickness of cylinder given compressive circumferential stress exerted by wire is the distance through an object, as distinct from width or height. Thickness Of Wire is denoted by t symbol.

How to calculate Thickness of cylinder given compressive circumferential stress exerted by wire using this online calculator? To use this online calculator for Thickness of cylinder given compressive circumferential stress exerted by wire, enter Diameter of Wire (Gwire), Initial Winding Stress w) & Compressive Circumferential Stress (Fcircumference) and hit the calculate button. Here is how the Thickness of cylinder given compressive circumferential stress exerted by wire calculation can be explained with given input values -> 3392.92 = (pi*0.0036*9000000)/(4*7500000).

FAQ

What is Thickness of cylinder given compressive circumferential stress exerted by wire?
Thickness of cylinder given compressive circumferential stress exerted by wire is the distance through an object, as distinct from width or height and is represented as t = (pi*Gwirew)/(4*Fcircumference) or Thickness Of Wire = (pi*Diameter of Wire*Initial Winding Stress)/(4*Compressive Circumferential Stress). Diameter of Wire is the diameter of the wire in thread measurements, Initial Winding Stress is the tensile stress produced in the winding 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.
How to calculate Thickness of cylinder given compressive circumferential stress exerted by wire?
Thickness of cylinder given compressive circumferential stress exerted by wire is the distance through an object, as distinct from width or height is calculated using Thickness Of Wire = (pi*Diameter of Wire*Initial Winding Stress)/(4*Compressive Circumferential Stress). To calculate Thickness of cylinder given compressive circumferential stress exerted by wire, you need Diameter of Wire (Gwire), Initial Winding Stress w) & Compressive Circumferential Stress (Fcircumference). With our tool, you need to enter the respective value for Diameter of Wire, Initial Winding Stress & Compressive Circumferential 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 Thickness Of Wire?
In this formula, Thickness Of Wire uses Diameter of Wire, Initial Winding Stress & Compressive Circumferential Stress. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Thickness Of Wire = Compressive Force/(2*Length Of Cylindrical Shell*Compressive Circumferential Stress)
  • Thickness Of Wire = Force/(Circumferential stress due to fluid pressure*2*Length Of Cylindrical Shell)
  • Thickness Of Wire = ((Force/Length Of Cylindrical Shell)-((pi/2)*Diameter of Wire*Stress in wire because of fluid pressure))/(2*Circumferential stress due to fluid pressure)
  • Thickness Of Wire = ((Internal Pressure*Diameter of Cylinder)/(4*Longitudinal Stress))
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