Write out the principal stress tensor for the following loading conditions:
a. A long bar subjected to a uniform tensile stress σ1 along its length.
b. A thin sheet subjected to unequal biaxial tension (stresses σ1 and σ2).
c. A cube subjected to an external hydrostatic pressure p.
d. A cube subjected to triaxial tension (tensile stresses σ1, σ2, and σ3).
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