# Schmid Tensor / Resolved Shear Stress question

1. Feb 24, 2016

### muskie25

1. The problem statement, all variables and given/known data
Calculate the magnitude of the resolved shear stress on the $(112)$ plane in the $[11\bar{1}]$direction in a bcc crystal.

2. Relevant equations
Tried to use:
$t^{\alpha} = \frac{1}{2} \sigma_{ij} (m_{i} n_{j} + m_{i} n_{j})$

where m is the direction and n is the plane.

3. The attempt at a solution
$t^{\alpha} = \frac{1}{2} \left( \begin{array} (10 & -5 & 0 \\ -5 & 20 & 10 \\ 0 & 10 & 30 \end{array} \right ) \left( \begin{array} (-6 & 6 & 0 \end{array} \right ) = \left( \begin{array} (-90 & 150 & 60 \end{array} \right )$

This does not sit right with me and I am not sure that I fully understand what is going on here. Can anyone help me figure out what I did wrong?

2. Feb 29, 2016