Question 24.5: The state of stress is given by matrix S as S = [80 -60 0 -......
The state of stress is given by matrix S as
S =\left[\begin{aligned}80&&-60&&0 \\-60&&-40&&0\\0&&0&&40\end{aligned}\right]
The direction cosine matrix is given as
T = \left[\begin{aligned}0.866&&0.5&&0 \\-0.5&&0.866&&0\\0&&0&&1\end{aligned}\right]
Determine the stress tensor with respect to new coordinates.
Step-by-Step
>> S= [80 -60 0; -60 -40 0; 0 0 40]; T=[0.866 0.5 0; -0.5 0.866 0; 0 0 l];
>> New_stress=T*S*T’
New stress=
-1.9635 -81.957 0
-81.957 41.962 0
0 0 40
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