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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

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)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Wire Winding of Thin Cylinders » Mechanical » Stress » Initial winding stress in wire given compressive circumferential stress exerted by wire

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!

< Stress Calculators

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

LaTeX 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)

Circumferential stress in cylinder given circumferential strain in cylinder

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

Circumferential stress due to fluid pressure given resisting force of cylinder

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

Circumferential stress due to fluid pressure given resultant stress in cylinder

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

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

LaTeX Go

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

Home

FREE PDFs

🔍 Search