Solve the Stress Tensor Problem Now

AI Thread Summary
To solve the stress tensor problem, the key is to find the vector normal to the tangent plane. Multiplying the stress matrix by this normal vector yields the stress vector, while pre and post-multiplying provides the stress scalar. The challenge lies in determining the normal vector, which can be researched further. A diagram can aid in visualizing the relationship, showing that a radius vector from the origin at any x value is normal to the cylinder, making specific angles with the axes. Understanding these geometric relationships is crucial for solving the problem effectively.
rahooma
Messages
1
Reaction score
0
http://im32.gulfup.com/u6n3f.jpg
 
Engineering news on Phys.org
So what you really need is the vector normal to that "tangent plane."
If you multiply your stress matrix by that normal vector, then that gives you the desired result (stress vector).
If you pre and post multiply by that normal vector then you have your answer to the second part of the problem (stress scalar).

The only issue is how to obtain that normal vector, and you're on your own there (google).
 
Draw a diagram. You will see that a radius vector from y = z = 0 at any x value is normal to the cylinder. The radius vector makes an angle of 30 degrees with the y axis, and 60 degrees with the z axis.

Chet
 

Thread 'Race car suspension Class'

Posted June 2024 - 15 years after starting this class. I have learned a whole lot. To get to the short course on making your stock car, late model, hobby stock E-mod handle, look at the index below. Read all posts on Roll Center, Jacking effect and Why does car drive straight to the wall when I gas it? Also read You really have two race cars. This will cover 90% of problems you have. Simply put, the car pushes going in and is loose coming out. You do not have enuff downforce on the right...
View full post »

Thread 'Cantilever help'

I'm trying to decide what size and type of galvanized steel I need for 2 cantilever extensions. The cantilever is 5 ft. The space between the two cantilever arms is a 17 ft Gap the center 7 ft of the 17 ft Gap we'll need to Bear approximately 17,000 lb spread evenly from the front of the cantilever to the back of the cantilever over 5 ft. I will put support beams across these cantilever arms to support the load evenly
View full post »
Thread 'What's the most likely cause for this carbon seal crack?'

Thread 'What's the most likely cause for this carbon seal crack?'

We have a molded carbon graphite seal that is used in an inline axial piston, variable displacement hydraulic pump. One of our customers reported that, when using the “A” parts in the past, they only needed to replace them due to normal wear. However, after switching to our parts, the replacement cycle seems to be much shorter due to “broken” or “cracked” failures. This issue was identified after hydraulic fluid leakage was observed. According to their records, the same problem has occurred...
View full post »

Similar threads

What is the relationship between force lines and the stress tensor field?
Replies
18
Views
2K
Understanding the Cauchy Stress Tensor: Clearing Up My Confusion
Replies
7
Views
2K
Cauchy's Formula for Stress tensor
Replies
12
Views
2K
Why Does Increasing Minor Principal Stress Decrease von Mises Stress?
Replies
3
Views
2K
Invariants of the stress tensor (von Mises yield criterion)
Replies
2
Views
2K
Spring and its shear, torsion, tensile stresses...
Replies
1
Views
2K
I Is the Cauchy stress tensor really a tensor?
Replies
8
Views
2K
Stress Analysis of Lifting Plate With Bail
Replies
1
Views
2K
I Obtaining the matter Lagrangian from the stress energy tensor
Replies
11
Views
2K
A Conflicting results about Stress tensor symmetry on EM field
Replies
18
Views
348

Hot Threads

Recent Insights

Back
Top