Question

A material is subjected to a stress state of $sigma = egin{pmatrix} 300 & 200 & 0 \ 200 & 100 & 100 \ 0 & 100 & 300 end{pmatrix}$ MPa Find the principal stresses, given the one of them is 300 MPa. Find the von Mises stress.

          A material is subjected to a stress state of
$sigma = egin{pmatrix} 300 & 200 & 0 \ 200 & 100 & 100 \ 0 & 100 & 300 end{pmatrix}$ MPa
Find the principal stresses, given the one of them is 300 MPa. Find the von Mises stress.

Added by Barry R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

08/27/2023

Step 1

The stress tensor is given by: σ = [300 200 0] [200 100 100] [0 100 300] To find the eigenvalues, we need to solve the characteristic equation: det(σ - λI) = 0 where λ is the eigenvalue and I is the identity matrix. Solving this equation will Show more…

Show all steps

Thanks for your feedback!

A material is subjected to a stress state of 300 200 0 200 100 100 MPa 0 100 300 Find the principal stresses, given the one of them is 300 MPa. Find the von Mises stress.