Question $(1)(1$U Points$)$

Using the condition of Rotational Equilibrium, show that

${}_{yx}={}_{xy},{}_{zy}={}_{yz},{}_{xz}={}_{zx}$

Question $(2)(10$ Points$)$

For the infinitesimal stress element given,

derive the following the stress transformation equation of ${}_{x^{\text{'}}}.$

Question $3(10$ Points$)$

Find the principal plane?

Do NOT use the Mohr circle for

uestions $3$ and $4.$

Question $4(10$ Points$)$

Determine the principal stress

on the principal plane found in

Question $3?$

Use the plane stress

transformation

equations given in

Question $2.$