MCQOPTIONS
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| 1. |
The state of stress in 3-dimension is given by the following determinant, the coefficient of σ2 is an invariant quantity which is equal to ________\(\begin{vmatrix}\sigma-\sigma x & -\tau yx & -\tau zx\\ -\tau xy & \sigma-\sigma y & -\tau zy\\ -\tau xz & -\tau yz & \sigma-\sigma z\end{vmatrix}\) |
| A. | σx+σy+σz |
| B. | σxσy+σyσz+σzσx-τxy2- τyz2- τzx2 |
| C. | σxσyσz+2τxyτyzτzx-σxτxy2 -σyτyz2 -σzτzx2 |
| D. | 1 |
| Answer» B. σxσy+σyσz+σzσx-τxy2- τyz2- τzx2 | |