Ahh, I didn't know that it makes a difference which symbol you use for multiplication of matrices. :) Anyway, I'm still not reaching the same answer as the book.
Thank you both very much for all the help!
Hm, now when i read it again i realize that every angle around the positive X3 axis is positive therefore if X'3 is mirrored through the X3 X'2 plane the specifications is still met. So you two are right there is two solutions to the cosine matrix.
ry(45°) * rz(60°)
and
r(-45°) * rz(60°)
Yes there is a typo, the Si stress tensor matrix should not be primed.
I think that you have used -60° instead of 60° which is the counter clockwise direction in trigonometry. Your point of it being two cosine direction matrices that meets the problem specification, I really don't know. In...
Hi, Chestermiller. Thank you for replying!
The cosine matrix is directly taken from the solution that the book gives. What I have tried is to recreate the result using the information which is given in the answer. All of part 2 in my OP is from the solution the book gives to the problem...
Homework Statement
Hi, I am not sure if this is the right place for my question but here goes!
The stress tensor in the Si coordinate system is given below:
σ’ij = {{-500, 0, 30}, {0, -400, 0}, {30, 0, 200}} MPa
Calculate the stress tensor in the L coordinate system if: cos-1a33=45°, and...