Hoop Stress Calculator

The force applied perpendicular to the radius of the object is called as hoop stress. Use this free simple online hoop stress calculator to calculate circumferential stress of cylinder wall or tube from internal and external pressure and radius.

Calculate Circumferential Stress of Cylinder Wall or Tube

MPa
MPa
length
length
length
MPa

The force applied perpendicular to the radius of the object is called as hoop stress. Use this free simple online hoop stress calculator to calculate circumferential stress of cylinder wall or tube from internal and external pressure and radius.

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Formula:

σa =((pi x ri2 - po x ro2) / (ro2 - ri2)) - (ri2 x ro2(po - pi) / (r2 x (r02 - ri2)) Where, σa = Hoop (Circumferential) Stress in Cylindrical Wall or Tube pi = Internal Pressure in the Tube po = External Pressure in the Tube ri = Internal Radius in the Tube ro = External Radius in the Tube r = Radius to point in tube

Hoop Stress: It is also known as the circumferential stress of the tube or cylinder stress. It is the stress applied to the pipe wall. Cylinder stress is a stress distribution, which remains fixed when the object is rotated in a fixed axis. Hoop stress or Circumferential stress is a normal stress that happens in the tangential direction. It stress is derived from Newton's first law of motion.
Hoop Stress Calculator: Feel free to try this online circumferential stress calculator to calculate circumferential stress of cylinder wall or tube based on the input values of internal & external pressure in the tube, internal & external radius in the tube, and the radius to point in tube with ease.

Example

A cylindrical tube has an internal pressure of 100 MPa, external pressure of 10MPa, internal radius of 12mm, external radius of 15mm, radius to point of 13mm.
Circumferential Stress of Cylinder Wall or Tube = ((100 x 122 - 10 x 152) / (152 - 122)) - (122 x 152(10 - 100) / (132x (152 - 122))
= ((14400-2250)/(225-144))-(((144x225)x(10-100))/(169x(225-144)))
= 363.0178 MPa



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