Solution Found!
It is found that the stress tensor at any point (x, y, z)
Chapter 16, Problem 16.20(choose chapter or problem)
It is found that the stress tensor at any point (x, y, z) in a certain continuous medium has the form (with an unspecified, convenient choice of units) XZ z2 0 = [ z2 y 0 _ (16.145) Find the surface force on a small area dA of the surface x2 + y2 + 2z2 = 4 at the point (1, 1, 1).
Questions & Answers
QUESTION:
It is found that the stress tensor at any point (x, y, z) in a certain continuous medium has the form (with an unspecified, convenient choice of units) XZ z2 0 = [ z2 y 0 _ (16.145) Find the surface force on a small area dA of the surface x2 + y2 + 2z2 = 4 at the point (1, 1, 1).
ANSWER:Step 1 of 3
The stress tensor at a point
At a point
The surface force on a surface element is
The surface area of the element is
Here is the unit vector.