Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio Calculator

✖Adjusted design value for compression corrects the design value by using some factor.ⓘ Adjusted design value [F'_c]			+10% -10%
✖The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.ⓘ Compressive Strain [ε_compressive]			+10% -10%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+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%

✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio [P_v]

⎘ Copy

👎

Formula

✖

Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio

Formula

P v = (F' c \cdot ε compressive) - (2 \cdot σ θ \cdot 𝛎)

Example

0.9988 MPa/m² = (10 MPa \cdot 0.1) - (2 \cdot 0.002 MPa \cdot 0.3)

Calculator

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)
P_v = (F'_c*ε_compressive)-(2*σ_θ*𝛎)
This formula uses 5 Variables

Variables Used

Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
Adjusted design value - (Measured in Pascal) - Adjusted design value for compression corrects the design value by using some factor.
Compressive Strain - The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
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

Adjusted design value: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Compressive Strain: 0.1 --> No Conversion Required
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_v = (F'_c*ε_compressive)-(2*σ_θ*𝛎) --> (10000000*0.1)-(2*2000*0.3)

Evaluating ... ...

P_v = 998800

STEP 3: Convert Result to Output's Unit

998800 Pascal per Square Meter -->0.9988 Megapascal per Square Meter (Check conversion here)

FINAL ANSWER

0.9988 Megapascal per Square Meter <-- Radial Pressure

(Calculation completed in 00.007 seconds)

You are here -

Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Thick Spherical Shells » Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio

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!

< Thick Spherical Shells Calculators

Mass of thick spherical shell given compressive radial strain

Go Mass Of Shell = (2*Hoop Stress on thick shell)/((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)

Hoop stress on thick spherical shell given compressive radial strain

Go Hoop Stress on thick shell = ((Modulus of Elasticity Of Thick Shell*Compressive Strain)-Radial Pressure)*Mass Of Shell/2

Radial pressure on thick spherical shell given compressive radial strain

Go Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)

Compressive radial strain for thick spherical shells

Go Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value

Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio Formula

Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)
P_v = (F'_c*ε_compressive)-(2*σ_θ*𝛎)

What is meant by hoop stress?

The hoop stress is the force over the area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall.

How to Calculate Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio?

Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio calculator uses Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio) to calculate the Radial Pressure, Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio formula is defined as stress towards or away from the central axis of a component. Radial Pressure is denoted by P_v symbol.

How to calculate Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio using this online calculator? To use this online calculator for Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio, enter Adjusted design value (F'_c), Compressive Strain (ε_compressive), Hoop Stress on thick shell (σ_θ) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio calculation can be explained with given input values -> 1E-6 = (10000000*0.1)-(2*2000*0.3).

FAQ

What is Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio?

Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio formula is defined as stress towards or away from the central axis of a component and is represented as P_v = (F'_c*ε_compressive)-(2*σ_θ*𝛎) or Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio). Adjusted design value for compression corrects the design value by using some factor, The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load, Hoop Stress on thick shell is the circumferential stress in a cylinder & 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 Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio?

Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio formula is defined as stress towards or away from the central axis of a component is calculated using Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio). To calculate Radial pressure on thick spherical shell given compressive radial strain and Poisson's ratio, you need Adjusted design value (F'_c), Compressive Strain (ε_compressive), Hoop Stress on thick shell (σ_θ) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Adjusted design value, Compressive Strain, Hoop Stress on thick shell & 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 Radial Pressure?

In this formula, Radial Pressure uses Adjusted design value, Compressive Strain, Hoop Stress on thick shell & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)
Radial Pressure = ((Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell/Mass Of Shell))
Radial Pressure = (Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)

Home

FREE PDFs

🔍 Search