Hoop + radial + axial = multi axial stress?

In summary, a cylinder with hoop stresses, radial stresses, and axial stress would have multi-axial stresses, as these stresses act perpendicular and parallel to the cylinder axis. Alternatively, the term "multi-axis" stresses could also be used. Both spellings, with or without a hyphen, are considered correct according to the Webster's dictionary.
  • #1
scootypuffsnr
13
0
Hi i was wondering if a cylinder has hoop stresses, radial stresses and axial stress would that be multiaxial stresses?
Thank you
 
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  • #2
Hoop stress and radial stress act perpendicular to the center axis of the cylinder while axial stress acts parallel to the cylinder axis. therefore, either of the first two stresses combined with the axial stress is a multi-axial stress.

Ironically the term "axis" has four alternative primary definitions, of which, one is the center line line of a rotation, circle or curve"; and, a second is "one of the reference lines of a coordinate system". An alternative term to "multi-axial" stresses would be "multi-axis" stresses; but, based upon the Webster's dictionary either should be correct.

PS Just for your general information, in either case, multi- with a hyphen is the correct spelling.
 

Related to Hoop + radial + axial = multi axial stress?

1. What is hoop stress in a cylindrical object?

Hoop stress is the stress that is exerted circumferentially on a cylindrical object, such as a pipe or a tank. It is caused by the internal pressure of the object pushing outward, and is directly proportional to the internal pressure and the radius of the object.

2. What is radial stress and how is it different from hoop stress?

Radial stress is the stress that is exerted inward from all directions towards the center of a cylindrical object. It is caused by the object's resistance to being compressed, and is directly proportional to the internal pressure and the radius of the object. Radial stress is perpendicular to hoop stress and acts in a different direction.

3. What is axial stress and how does it affect a cylindrical object?

Axial stress is the stress that is exerted along the length of a cylindrical object, parallel to its axis. It is caused by the object's resistance to being stretched, and is directly proportional to the applied force and the cross-sectional area of the object. Axial stress can significantly affect the strength and stability of a cylindrical object.

4. How do hoop, radial, and axial stress combine to create multi axial stress?

Hoop, radial, and axial stress combine to create multi axial stress when a cylindrical object is subjected to internal pressure, external forces, or a combination of both. The combination of these stresses creates a complex state of stress within the object, which can have a significant impact on its structural integrity.

5. How can multi axial stress be calculated and analyzed?

Multi axial stress can be calculated using various mathematical equations and formulas, depending on the type of loading and the material properties of the cylindrical object. It can also be analyzed using computer simulations and finite element analysis, which can provide a more detailed and accurate understanding of the stress distribution within the object.

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