Stress in Thick-Walled Tubes or Cylinders
Radial and tangential stress in thick-walled tubes or cylinders with closed ends - internal and external pressure
Sponsored Links
When a thick-walled tube or cylinder is subjected to internal and external pressure a hoop and longitudinal stress are produced in the wall.
Online Thick Walled Pipe & Cylinder Calculator
The calculator below can be used to calculate the stress in tick walled pipes or cylinders with closed ends.
Stress in Axial Direction
The stress in axial direction at a point in the tube or cylinder wall can be expressed as:
σa = (pi ri2 - po ro2 )/(ro2 - ri2) (1)
where
σa = stress in axial direction (MPa, psi)
pi = internal pressure in the tube or cylinder (MPa, psi)
po = external pressure in the tube or cylinder (MPa, psi)
ri = internal radius of tube or cylinder (mm, in)
ro = external radius of tube or cylinder (mm, in)
Stress in Circumferential Direction - Hoop Stress
The stress in circumferential direction at a point in the tube or cylinder wall can be expressed as:
σc = [(pi ri2 - po ro2) / (ro2 - ri2)] - [ri2 ro2 (po - pi) / r2 (ro2 - ri2)] (2)
where
σc = stress in circumferential direction (MPa, psi)
r = radius to point in tube or cylinder wall (mm, in)
maximum stress when r = ri (inside pipe or cylinder)
Stress in Radial Direction
The stress in tangential direction at a point in the tube or cylinder wall can be expressed as:
σr = [(pi ri2 - po ro2) / (ro2 - ri2)] + [ri2 ro2 (po - pi) / r2 (ro2 - ri2)] (3)
maximum stress when r = ri (inside pipe or cylinder)
Sponsored Links
Related Topics
- Mechanics - Kinematics, forces, vectors, motion, momentum, energy and the dynamics of objects
Sponsored Links
Related Documents
- Elastic Properties and Young Modulus for some Materials - Young Modulus (Tensile Modulus) for common materials - steel, glass, wood and more ..
- Fixed Pipes - Temperature and Stress - Stress in fixed pipes depends on change in temperatures
- Stress in a Steam Boiler Shell from Boiler Pressure - Calculate the stress in in a steam boiler shell from pressure
- Stress, Strain and Young's Modulus - Stress is force per area - strain is deformation of a solid due to stress
- Stresses in Thin-Walled Tubes or Cylinders - Hoop and longitudinal stresses thin-walled tubes or cylinders
- Temperature and Allowable Stresses for Pipes - Allowable stresses in pipe walls for pipes ASTM specification A-53, A-106 and more
