Longitudinal stress in wire due to fluid pressure Calculator

✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Pressure [P_i]			+10% -10%
✖The Diameter of Cylinder is the maximum width of cylinder in transverse direction.ⓘ Diameter of Cylinder [D]			+10% -10%
✖Thickness Of Wire is the distance through a wire.ⓘ Thickness Of Wire [t]			+10% -10%

✖Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal stress in wire due to fluid pressure [σ_l]

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Formula

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Longitudinal stress in wire due to fluid pressure

Formula

`"σ"_{"l"} = (("P"_{"i"}*"D")/(4*"t"))`

Example

`"0.104167MPa"=(("10MPa"*"50mm")/(4*"1200mm"))`

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Longitudinal stress in wire due to fluid pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire))
σ_l = ((P_i*D)/(4*t))
This formula uses 4 Variables

Variables Used

Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Diameter of Cylinder - (Measured in Meter) - The Diameter of Cylinder is the maximum width of cylinder in transverse direction.
Thickness Of Wire - (Measured in Meter) - Thickness Of Wire is the distance through a wire.

STEP 1: Convert Input(s) to Base Unit

Internal Pressure: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Thickness Of Wire: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = ((P_i*D)/(4*t)) --> ((10000000*0.05)/(4*1.2))

Evaluating ... ...

σ_l = 104166.666666667

STEP 3: Convert Result to Output's Unit

104166.666666667 Pascal -->0.104166666666667 Megapascal (Check conversion here)

FINAL ANSWER

0.104166666666667 ≈ 0.104167 Megapascal <-- Longitudinal Stress

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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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

Longitudinal stress in wire due to fluid pressure Formula

Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire))
σ_l = ((P_i*D)/(4*t))

What causes internal pressure?

When the volume of a fluid increases, the average distance between molecules increases, and the potential energy due to intermolecular forces changes. At constant temperature, the thermal energy is constant so that the internal pressure is the rate at which just the potential energy changes with volume.

How to Calculate Longitudinal stress in wire due to fluid pressure?

Longitudinal stress in wire due to fluid pressure calculator uses Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire)) to calculate the Longitudinal Stress, The Longitudinal stress in wire due to fluid pressure formula is defined as force acting on unit area of material. effect of stress on body is named strain. Stress can deform body. Longitudinal Stress is denoted by σ_l symbol.

How to calculate Longitudinal stress in wire due to fluid pressure using this online calculator? To use this online calculator for Longitudinal stress in wire due to fluid pressure, enter Internal Pressure (P_i), Diameter of Cylinder (D) & Thickness Of Wire (t) and hit the calculate button. Here is how the Longitudinal stress in wire due to fluid pressure calculation can be explained with given input values -> 1E-7 = ((10000000*0.05)/(4*1.2)).

FAQ

What is Longitudinal stress in wire due to fluid pressure?

The Longitudinal stress in wire due to fluid pressure formula is defined as force acting on unit area of material. effect of stress on body is named strain. Stress can deform body and is represented as σ_l = ((P_i*D)/(4*t)) or Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire)). Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, The Diameter of Cylinder is the maximum width of cylinder in transverse direction & Thickness Of Wire is the distance through a wire.

How to calculate Longitudinal stress in wire due to fluid pressure?

The Longitudinal stress in wire due to fluid pressure formula is defined as force acting on unit area of material. effect of stress on body is named strain. Stress can deform body is calculated using Longitudinal Stress = ((Internal Pressure*Diameter of Cylinder)/(4*Thickness Of Wire)). To calculate Longitudinal stress in wire due to fluid pressure, you need Internal Pressure (P_i), Diameter of Cylinder (D) & Thickness Of Wire (t). With our tool, you need to enter the respective value for Internal Pressure, Diameter of Cylinder & Thickness 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 Longitudinal Stress?

In this formula, Longitudinal Stress uses Internal Pressure, Diameter of Cylinder & Thickness Of Wire. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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