Circumferential stress in cylinder given circumferential strain in cylinder Calculator

✖Circumferential strain represents the change in length.ⓘ Circumferential strain [e₁]			+10% -10%
✖Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Cylinder [E]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal Stress [σ_l]			+10% -10%

✖Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.ⓘ Circumferential stress in cylinder given circumferential strain in cylinder [σ_c]

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Formula

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Circumferential stress in cylinder given circumferential strain in cylinder

Formula

`"σ"_{"c"} = ("e"_{"1"}*"E")+("𝛎"*"σ"_{"l"})`

Example

`"24.027MPa"=("2.5"*"9.6MPa")+("0.3"*"0.09MPa")`

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Circumferential stress in cylinder given circumferential strain in cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential stress due to fluid pressure = (Circumferential strain*Young's Modulus Cylinder)+(Poisson's Ratio*Longitudinal Stress)
σ_c = (e₁*E)+(𝛎*σ_l)
This formula uses 5 Variables

Variables Used

Circumferential stress due to fluid pressure - (Measured in Pascal) - Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.
Circumferential strain - Circumferential strain represents the change in length.
Young's Modulus Cylinder - (Measured in Pascal) - Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

STEP 1: Convert Input(s) to Base Unit

Circumferential strain: 2.5 --> No Conversion Required
Young's Modulus Cylinder: 9.6 Megapascal --> 9600000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Longitudinal Stress: 0.09 Megapascal --> 90000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (e₁*E)+(𝛎*σ_l) --> (2.5*9600000)+(0.3*90000)

Evaluating ... ...

σ_c = 24027000

STEP 3: Convert Result to Output's Unit

24027000 Pascal -->24.027 Megapascal (Check conversion here)

FINAL ANSWER

24.027 Megapascal <-- Circumferential stress due to fluid pressure

(Calculation completed in 00.004 seconds)

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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

Circumferential stress in cylinder given circumferential strain in cylinder Formula

Circumferential stress due to fluid pressure = (Circumferential strain*Young's Modulus Cylinder)+(Poisson's Ratio*Longitudinal Stress)
σ_c = (e₁*E)+(𝛎*σ_l)

Is a higher Young's modulus better?

The coefficient of proportionality is Young's modulus. The higher the modulus, the more stress is needed to create the same amount of strain; an idealized rigid body would have an infinite Young's modulus. Conversely, a very soft material such as fluid would deform without force and would have zero Young's Modulus.

How to Calculate Circumferential stress in cylinder given circumferential strain in cylinder?

Circumferential stress in cylinder given circumferential strain in cylinder calculator uses Circumferential stress due to fluid pressure = (Circumferential strain*Young's Modulus Cylinder)+(Poisson's Ratio*Longitudinal Stress) to calculate the Circumferential stress due to fluid pressure, The Circumferential stress in cylinder given circumferential strain in cylinder formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. Circumferential stress due to fluid pressure is denoted by σ_c symbol.

How to calculate Circumferential stress in cylinder given circumferential strain in cylinder using this online calculator? To use this online calculator for Circumferential stress in cylinder given circumferential strain in cylinder, enter Circumferential strain (e₁), Young's Modulus Cylinder (E), Poisson's Ratio (𝛎) & Longitudinal Stress (σ_l) and hit the calculate button. Here is how the Circumferential stress in cylinder given circumferential strain in cylinder calculation can be explained with given input values -> 2.4E-5 = (2.5*9600000)+(0.3*90000).

FAQ

What is Circumferential stress in cylinder given circumferential strain in cylinder?

The Circumferential stress in cylinder given circumferential strain in cylinder formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body and is represented as σ_c = (e₁*E)+(𝛎*σ_l) or Circumferential stress due to fluid pressure = (Circumferential strain*Young's Modulus Cylinder)+(Poisson's Ratio*Longitudinal Stress). Circumferential strain represents the change in length, Young's Modulus Cylinder is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5 & Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

How to calculate Circumferential stress in cylinder given circumferential strain in cylinder?

The Circumferential stress in cylinder given circumferential strain in cylinder formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body is calculated using Circumferential stress due to fluid pressure = (Circumferential strain*Young's Modulus Cylinder)+(Poisson's Ratio*Longitudinal Stress). To calculate Circumferential stress in cylinder given circumferential strain in cylinder, you need Circumferential strain (e₁), Young's Modulus Cylinder (E), Poisson's Ratio (𝛎) & Longitudinal Stress (σ_l). With our tool, you need to enter the respective value for Circumferential strain, Young's Modulus Cylinder, Poisson's Ratio & Longitudinal 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 Circumferential stress due to fluid pressure?

In this formula, Circumferential stress due to fluid pressure uses Circumferential strain, Young's Modulus Cylinder, Poisson's Ratio & Longitudinal Stress. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumferential stress due to fluid pressure = Force/(2*Length of wire*Thickness Of Wire)
Circumferential stress due to fluid pressure = Resultant Stress+Compressive Circumferential Stress
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)

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