Pressure Loading of Thin-walled Vessels (Sphere) Calculator

Enter value and click on calculate. Result will be displayed.

δsph=p×r2×t      R=p×r2(1-v)2×E×t
V=2×p×π×r4(1-v)E×t
δsph = Stress ---- p = Uniform Internal Pressure
r = Radius ---- t = Thickness ---- v = Poisson's Ratio
E = Modulus of Elasticity ---- R = Increase In Radius
V = Increase In Volume

Enter your values:

Radius (r):
m
Thickness (t):
m
Modulus of Elasticity (E):
109 N / m2
Poisson's Ratio (v):
m
Uniform Internal Pressure (p):
106 N / m2

Result:

Stress (δsph):
106 N / m2
Increase In Radius (R):
10-6 m
Increase In Volume (V):
10-6 m3

What is a Pressure Loading of Thin-Walled Vessels (Sphere) Calculator?

A Pressure Loading of Thin-Walled Vessels (Sphere) Calculator is a tool used to determine the hoop (circumferential) stress in a thin-walled spherical pressure vessel subjected to internal pressure.

A thin-walled vessel is defined as one where the ratio of wall thickness (t) to internal radius (r) is t/r ≤ 0.1, meaning the stress is assumed to be uniformly distributed.


Why Use a Pressure Loading Calculator for Spherical Thin-Walled Vessels?

  • Ensures Structural Safety – Prevents vessel failure by checking stress limits.
  • Optimizes Material Selection – Helps engineers choose appropriate materials for pressure containment.
  • Reduces Manual Calculation Errors – Provides instant and accurate results.
  • Essential in Various Industries – Used in aerospace, medical, chemical, and industrial applications.

For example, if a gas storage tank is under high pressure, this calculator helps engineers determine whether the tank’s wall thickness is sufficient to prevent rupture.


How to Use the Calculator?

  1. Input the internal pressure (P) – Enter the pressure inside the vessel in Pascals (Pa).
  2. Input the internal radius (r) – Provide the internal radius of the sphere in meters (m).
  3. Input the wall thickness (t) – Specify the thickness of the vessel wall in meters (m).
  4. Click Calculate – The calculator will compute the hoop stress (σ) using the formula.

When to Use This Calculator?

  • In Pressure Vessel Design – Ensures proper material strength and thickness.
  • In Aerospace and Automotive Applications – For fuel tanks and high-pressure components.
  • In Biomedical Engineering – Analyzing artificial blood vessels and implants.
  • In Chemical and Nuclear Industries – Designing storage tanks for high-pressure gases and liquids.
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About This Calculator
Created at  2025/1/23
Updated :
2025/03/19
Views :
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