Transformation of Stress (Mech. Materials)

Click For Summary
SUMMARY

The discussion centers on the transformation of stress in mechanical materials, specifically addressing the condition where σ(x) equals zero. The participant identifies that σ(y) is calculated as P/A, while the shear stress t(xy) is represented by Tc/j. The conclusion drawn is that σ(x) is zero due to the pipe's surfaces being in contact with air, which is valid when the wall thickness is negligible compared to the pipe's lateral dimensions.

PREREQUISITES
  • Understanding of stress transformation in mechanics
  • Familiarity with the equations of state for materials, specifically σ(y) = P/A
  • Knowledge of shear stress calculations, particularly t(xy) = Tc/j
  • Basic concepts of material behavior under load
NEXT STEPS
  • Study the principles of stress transformation in mechanical engineering
  • Learn about the effects of boundary conditions on stress distribution
  • Explore the implications of wall thickness in cylindrical structures
  • Investigate the relationship between shear stress and torque in materials
USEFUL FOR

Mechanical engineers, materials scientists, and students studying stress analysis in structural mechanics will benefit from this discussion.

Litcyb
Messages
34
Reaction score
0

Homework Statement



Question is attached

Homework Equations



σ(x) = 0
σ(y)= P/A
t(xy)= Tc/j

The Attempt at a Solution


I know how to do the stress transformation, but my only issue is noticing why σ(x)= 0, I can't see it, can someone help me.
 

Attachments

  • s.PNG
    s.PNG
    12.8 KB · Views: 553
Physics news on Phys.org
Litcyb said:

Homework Statement



Question is attached

Homework Equations



σ(x) = 0
σ(y)= P/A
t(xy)= Tc/j

The Attempt at a Solution


I know how to do the stress transformation, but my only issue is noticing why σ(x)= 0, I can't see it, can someone help me.
I assume that x is the thickness direction. Is that correct? If so, then the stress in the x direction is zero, because both surfaces of the pipe are in contact with the air (and the wall thickness is small compared to the lateral dimensions of the pipe).

Chet
 

Similar threads

Ratio of shear stress to normal stress along principle place
  • · Replies 7 ·
Replies
7
Views
3K
Strain and Stress in Thin-Walled Hoops Under Pressure
  • · Replies 9 ·
Replies
9
Views
5K
Mechanical engineering - Stress concentration
  • · Replies 1 ·
Replies
1
Views
2K
Direction & magnitude of normal stress
  • · Replies 4 ·
Replies
4
Views
3K
Find the principal stresses in a shaft with torque applied
  • · Replies 2 ·
Replies
2
Views
4K
Calculating Stresses due to Bending and Shear Stresses.
  • · Replies 1 ·
Replies
1
Views
6K
Understanding the Difference Between Bending Stress and Normal Stress in Beams
  • · Replies 6 ·
Replies
6
Views
2K
Principal Stresses and Finding Shear forces
  • · Replies 1 ·
Replies
1
Views
2K
Machine elements - deflection and stress problem
  • · Replies 1 ·
Replies
1
Views
2K
Max Bending Stress: Find from Second Moment of Area
  • · Replies 3 ·
Replies
3
Views
3K