Thin walled pressure vessel with external force

Click For Summary
SUMMARY

The discussion centers on calculating shear stress in a thin-walled pressure vessel subjected to an external force of 40 kN. The participant correctly identifies the formulas for hoop stress (σ=pr/t) and longitudinal stress (σ=pr/2t) but seeks clarification on the application of shear stress (τ=VQ/It) in this context. It is established that the external load generates shear stress, while the internal gage pressure does not contribute to shear stress. The participant is encouraged to reconsider the relationship between external forces and stress types in pressure vessels.

PREREQUISITES
  • Understanding of thin-walled pressure vessel theory
  • Familiarity with stress equations: hoop stress and longitudinal stress
  • Knowledge of shear stress calculation using τ=VQ/It
  • Basic principles of mechanics of materials
NEXT STEPS
  • Study the effects of external loads on thin-walled pressure vessels
  • Learn about the relationship between shear stress and external forces in structural analysis
  • Explore advanced topics in mechanics of materials, focusing on stress transformation
  • Investigate the application of finite element analysis (FEA) for pressure vessel design
USEFUL FOR

Mechanical engineers, structural analysts, and students studying pressure vessel design and stress analysis.

SteelDirigibl
Messages
40
Reaction score
0

Homework Statement



attachment.php?attachmentid=46420&stc=1&d=1334881609.png



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

  • Screen shot 2012-04-19 at 8.17.42 PM.png
    Screen shot 2012-04-19 at 8.17.42 PM.png
    23.2 KB · Views: 893
  • Screen shot 2012-04-19 at 8.24.06 PM.png
    Screen shot 2012-04-19 at 8.24.06 PM.png
    22.9 KB · Views: 2,552
Physics news on Phys.org
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:
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 61 ·
3
Replies
61
Views
13K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 9 ·
Replies
9
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
2K