MECE 4210U - Advanced Solid Mechanics and Stress Analysis (Fall 2024)
Tutorial #2
Given the state of stress (𝜎) at a point relative to an xyz coordinate system below.
𝜎=[−8 6 −2
642
−2 2 −5]𝑀𝑃𝑎
a) Determine the state of stress on an element that is oriented by first rotating the xyz axes
45° about the z axis and then rotating the resulting axes 30° about the new x axis.
b) If the rotation matrix Q has the following values, find the transformed stress state using
MatLab or Excel.
𝑄 =[ 0.8479 −0.3755 0.3742
−0.3823 0.0558 0.9224
0.3673 0.9251 0.0963]