Radial pressure given tensile circumferential strain for thick spherical shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Pressure = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell))*Mass Of Shell
Pv = ((e1*E)-σθ*((M-1)/M))*M
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.
Circumferential Strain - Circumferential strain represents the change in length.
Modulus of Elasticity Of Thick Shell - (Measured in Pascal) - Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Mass Of Shell - (Measured in Kilogram) - Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.
STEP 1: Convert Input(s) to Base Unit
Circumferential Strain: 2.5 --> No Conversion Required
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion ​here)
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion ​here)
Mass Of Shell: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pv = ((e1*E)-σθ*((M-1)/M))*M --> ((2.5*2600000)-2000*((35.45-1)/35.45))*35.45
Evaluating ... ...
Pv = 230356100
STEP 3: Convert Result to Output's Unit
230356100 Pascal per Square Meter -->230.3561 Megapascal per Square Meter (Check conversion ​here)
FINAL ANSWER
230.3561 Megapascal per Square Meter <-- Radial Pressure
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Radial Pressure = (Adjusted design value*Compressive Strain)-(2*Hoop Stress on thick shell/Mass Of Shell)
Compressive radial strain for thick spherical shells
​ LaTeX ​ Go Compressive Strain = (Radial Pressure+(2*Hoop Stress on thick shell/Mass Of Shell))/Adjusted design value

Radial pressure given tensile circumferential strain for thick spherical shell Formula

​LaTeX ​Go
Radial Pressure = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell))*Mass Of Shell
Pv = ((e1*E)-σθ*((M-1)/M))*M

Where is bending stress maximum?

The bottom die has a large deflection due to the bending force. The maximum bending stress occurs at the top surface of the die, and its location is corresponding to the inner bumps of the bottom die. The deflection of the beam is proportional to the bending moment, which is also proportional to the bending force.

How to Calculate Radial pressure given tensile circumferential strain for thick spherical shell?

Radial pressure given tensile circumferential strain for thick spherical shell calculator uses Radial Pressure = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell))*Mass Of Shell to calculate the Radial Pressure, Radial pressure given tensile circumferential strain for thick spherical shell formula is defined as a method to evaluate the internal pressure exerted by a thick spherical shell under tensile circumferential strain. This concept is crucial in understanding the structural integrity and performance of spherical pressure vessels. Radial Pressure is denoted by Pv symbol.

How to calculate Radial pressure given tensile circumferential strain for thick spherical shell using this online calculator? To use this online calculator for Radial pressure given tensile circumferential strain for thick spherical shell, enter Circumferential Strain (e1), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell θ) & Mass Of Shell (M) and hit the calculate button. Here is how the Radial pressure given tensile circumferential strain for thick spherical shell calculation can be explained with given input values -> 0.00023 = ((2.5*2600000)-2000*((35.45-1)/35.45))*35.45.

FAQ

What is Radial pressure given tensile circumferential strain for thick spherical shell?
Radial pressure given tensile circumferential strain for thick spherical shell formula is defined as a method to evaluate the internal pressure exerted by a thick spherical shell under tensile circumferential strain. This concept is crucial in understanding the structural integrity and performance of spherical pressure vessels and is represented as Pv = ((e1*E)-σθ*((M-1)/M))*M or Radial Pressure = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell))*Mass Of Shell. Circumferential strain represents the change in length, Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, Hoop Stress on thick shell is the circumferential stress in a cylinder & Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.
How to calculate Radial pressure given tensile circumferential strain for thick spherical shell?
Radial pressure given tensile circumferential strain for thick spherical shell formula is defined as a method to evaluate the internal pressure exerted by a thick spherical shell under tensile circumferential strain. This concept is crucial in understanding the structural integrity and performance of spherical pressure vessels is calculated using Radial Pressure = ((Circumferential Strain*Modulus of Elasticity Of Thick Shell)-Hoop Stress on thick shell*((Mass Of Shell-1)/Mass Of Shell))*Mass Of Shell. To calculate Radial pressure given tensile circumferential strain for thick spherical shell, you need Circumferential Strain (e1), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell θ) & Mass Of Shell (M). With our tool, you need to enter the respective value for Circumferential Strain, Modulus of Elasticity Of Thick Shell, Hoop Stress on thick shell & Mass Of Shell 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 Circumferential Strain, Modulus of Elasticity Of Thick Shell, Hoop Stress on thick shell & Mass Of Shell. 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*Compressive Strain)-(2*Hoop Stress on thick shell*Poisson's Ratio)
  • Radial Pressure = ((Adjusted design value*Tensile Strain)-(2*Hoop Stress on thick shell/Mass Of Shell))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!