Longitudinal stress in cylinder given circumferential strain in cylinder Calculator

✖Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure.ⓘ Circumferential Stress due to Fluid Pressure [σ_c]			+10% -10%
✖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 in cylinder given circumferential strain in cylinder [σ_l]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Longitudinal stress in cylinder given circumferential strain in cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Stress = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio)
σ_l = (σ_c-(e₁*E))/(𝛎)
This formula uses 5 Variables

Variables Used

Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
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.

STEP 1: Convert Input(s) to Base Unit

Circumferential Stress due to Fluid Pressure: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_l = (σ_c-(e₁*E))/(𝛎) --> (2000-(2.5*9600000))/(0.3)

Evaluating ... ...

σ_l = -79993333.3333333

STEP 3: Convert Result to Output's Unit

-79993333.3333333 Pascal -->-79.9933333333333 Megapascal (Check conversion here)

FINAL ANSWER

-79.9933333333333 ≈ -79.993333 Megapascal <-- Longitudinal Stress

(Calculation completed in 00.007 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Wire Winding of Thin Cylinders » Mechanical » Stress » Longitudinal stress in cylinder given circumferential strain in cylinder

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

< Stress Calculators

Internal diameter of vessel given hoop stress and efficiency of longitudinal joint

LaTeX Go Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell)

Longitudinal stress in thin cylindrical vessel given Longitudinal strain

LaTeX Go Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)

Efficiency of circumferential joint given longitudinal stress

LaTeX Go Efficiency of Circumferential Joint = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(4*Thickness Of Thin Shell)

Efficiency of longitudinal joint given hoop stress

LaTeX Go Efficiency of Longitudinal Joint = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell)

Longitudinal stress in cylinder given circumferential strain in cylinder Formula

LaTeX Go

Longitudinal Stress = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio)
σ_l = (σ_c-(e₁*E))/(𝛎)

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 Longitudinal stress in cylinder given circumferential strain in cylinder?

Longitudinal stress in cylinder given circumferential strain in cylinder calculator uses Longitudinal Stress = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio) to calculate the Longitudinal Stress, The Longitudinal 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. Longitudinal Stress is denoted by σ_l symbol.

How to calculate Longitudinal stress in cylinder given circumferential strain in cylinder using this online calculator? To use this online calculator for Longitudinal stress in cylinder given circumferential strain in cylinder, enter Circumferential Stress due to Fluid Pressure (σ_c), Circumferential Strain (e₁), Young's Modulus Cylinder (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Longitudinal stress in cylinder given circumferential strain in cylinder calculation can be explained with given input values -> -8E-5 = (2000-(2.5*9600000))/(0.3).

FAQ

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

The Longitudinal 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_l = (σ_c-(e₁*E))/(𝛎) or Longitudinal Stress = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio). Circumferential stress due to fluid pressure is a kind of tensile stress exerted on cylinder due to fluid pressure, 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.

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

The Longitudinal 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 Longitudinal Stress = (Circumferential Stress due to Fluid Pressure-(Circumferential Strain*Young's Modulus Cylinder))/(Poisson's Ratio). To calculate Longitudinal stress in cylinder given circumferential strain in cylinder, you need Circumferential Stress due to Fluid Pressure (σ_c), Circumferential Strain (e₁), Young's Modulus Cylinder (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Circumferential Stress due to Fluid Pressure, Circumferential Strain, Young's Modulus Cylinder & Poisson's Ratio 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 Circumferential Stress due to Fluid Pressure, Circumferential Strain, Young's Modulus Cylinder & Poisson's Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search