Thin walled pressure vessel with external force

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SteelDirigibl
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Homework Statement



Diagram of a cylindrical compressed air tank on a base plate, with a collar at the top bearing a 40 kN horizontal force at point B, point K marked on the side, and dimensions of 150 mm, 600 mm and 150 mm labelled.



Homework Equations



σ=pr/t (hoop)

σ=pr/2t (longitudinal)

τ=VQ/It

The Attempt at a Solution



I have longitudinal stress and hoop stress. I'm trying to find shear stress, which should come only as a result of the 40kN from the collar correct? I'm confused with how I can get this on the pressure vessel. Would it be the same as if it were a simple rod?
 
Attachments
  • Diagram of a cylindrical vessel standing on a square base with axes x, y and z; a collar at the top at point B has force P applied, with labels 150 mm, 600 mm and 150 mm, and points K, L and A marked.
    Screen shot 2012-04-19 at 8.17.42 PM.png
    23.2 KB · Views: 943
  • Diagram of a cylindrical compressed air tank on a base with a collar at point B carrying a 40 kN horizontal force, with point K marked on the side, labeled 150 mm, 600 mm and 150 mm dimensions, and x, y, z axes.
    Screen shot 2012-04-19 at 8.24.06 PM.png
    22.9 KB · Views: 2,599
Are you sure you want to use tau = VQ/It? Think again about this.

What sort of stress does the external load create in the pressure vessel?
 
It has to be shear stress doesn't it? The gage pressure doesn't cause any shear stress, right?

Does it cause another kind of stress too? Or am I just wrong? Can I get a multiple choice? :smile: