Hoop stress given efficiency of longitudinal joint Calculator

✖Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Pressure in thin shell [P_i]			+10% -10%
✖Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinderical Vessel [D_i]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖Efficiency of Longitudinal Joint can be defined as the reliability that can be obtained from the joints after welding.ⓘ Efficiency of Longitudinal Joint [η_l]			+10% -10%

✖Hoop Stress in Thin shell is the circumferential stress in a cylinder.ⓘ Hoop stress given efficiency of longitudinal joint [σ_θ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Hoop stress given efficiency of longitudinal joint Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hoop Stress in Thin shell = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)
σ_θ = (P_i*D_i)/(2*t*η_l)
This formula uses 5 Variables

Variables Used

Hoop Stress in Thin shell - (Measured in Pascal) - Hoop Stress in Thin shell is the circumferential stress in a cylinder.
Internal Pressure in thin shell - (Measured in Pascal) - Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Inner Diameter of Cylinderical Vessel - (Measured in Meter) - Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Efficiency of Longitudinal Joint - Efficiency of Longitudinal Joint can be defined as the reliability that can be obtained from the joints after welding.

STEP 1: Convert Input(s) to Base Unit

Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Inner Diameter of Cylinderical Vessel: 50 Millimeter --> 0.05 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Efficiency of Longitudinal Joint: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = (P_i*D_i)/(2*t*η_l) --> (14000000*0.05)/(2*0.525*0.3)

Evaluating ... ...

σ_θ = 2222222.22222222

STEP 3: Convert Result to Output's Unit

2222222.22222222 Pascal -->2.22222222222222 Megapascal (Check conversion here)

FINAL ANSWER

2.22222222222222 ≈ 2.222222 Megapascal <-- Hoop Stress in Thin shell

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Mechanical » Efficiency of Longitudinal and Circumferential Joint » Hoop stress given efficiency of longitudinal joint

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!

< Efficiency of Longitudinal and Circumferential Joint Calculators

Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint

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

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)

Thickness of vessel given hoop stress and efficiency of longitudinal joint

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

Hoop stress given efficiency of longitudinal joint

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

< Hoop stress Calculators

Hoop stress given circumferential strain

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

Hoop stress in thin cylindrical vessel given Longitudinal strain

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

Hoop stress in thin spherical shell given strain in any one direction and Poisson's ratio

LaTeX Go Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell

Hoop stress induced in thin spherical shell given strain in any one direction

LaTeX Go Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell

Hoop stress given efficiency of longitudinal joint Formula

LaTeX Go

Hoop Stress in Thin shell = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)
σ_θ = (P_i*D_i)/(2*t*η_l)

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Hoop stress given efficiency of longitudinal joint?

Hoop stress given efficiency of longitudinal joint calculator uses Hoop Stress in Thin shell = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint) to calculate the Hoop Stress in Thin shell, Hoop stress given efficiency of longitudinal joint is the stress around the circumference of the pipe due to a pressure gradient. Hoop Stress in Thin shell is denoted by σ_θ symbol.

How to calculate Hoop stress given efficiency of longitudinal joint using this online calculator? To use this online calculator for Hoop stress given efficiency of longitudinal joint, enter Internal Pressure in thin shell (P_i), Inner Diameter of Cylinderical Vessel (D_i), Thickness Of Thin Shell (t) & Efficiency of Longitudinal Joint (η_l) and hit the calculate button. Here is how the Hoop stress given efficiency of longitudinal joint calculation can be explained with given input values -> 2.2E-6 = (14000000*0.05)/(2*0.525*0.3).

FAQ

What is Hoop stress given efficiency of longitudinal joint?

Hoop stress given efficiency of longitudinal joint is the stress around the circumference of the pipe due to a pressure gradient and is represented as σ_θ = (P_i*D_i)/(2*t*η_l) or Hoop Stress in Thin shell = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint). Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder, Thickness Of Thin Shell is the distance through an object & Efficiency of Longitudinal Joint can be defined as the reliability that can be obtained from the joints after welding.

How to calculate Hoop stress given efficiency of longitudinal joint?

Hoop stress given efficiency of longitudinal joint is the stress around the circumference of the pipe due to a pressure gradient is calculated using Hoop Stress in Thin shell = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint). To calculate Hoop stress given efficiency of longitudinal joint, you need Internal Pressure in thin shell (P_i), Inner Diameter of Cylinderical Vessel (D_i), Thickness Of Thin Shell (t) & Efficiency of Longitudinal Joint (η_l). With our tool, you need to enter the respective value for Internal Pressure in thin shell, Inner Diameter of Cylinderical Vessel, Thickness Of Thin Shell & Efficiency of Longitudinal Joint 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 Hoop Stress in Thin shell?

In this formula, Hoop Stress in Thin shell uses Internal Pressure in thin shell, Inner Diameter of Cylinderical Vessel, Thickness Of Thin Shell & Efficiency of Longitudinal Joint. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell
Hoop Stress in Thin shell = (Strain in thin shell/(1-Poisson's Ratio))*Modulus of Elasticity Of Thin Shell

Home

FREE PDFs

🔍 Search