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CE2201-MECHANICS-OF-SOLIDS-->View question

## T he maximum and the minimum principal stresses are denoted by σ1 and σ3, respectively. The differential stress can have an absolute value greater than σ1 when

(A) σ1 and σ3 are both compressive.
(B) σ1 is compressive and σ3 is tensile.
(C) σ1 and σ3 are equal.
(D) σ1 and σ3 are both tensile.

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Solution:
(B) σ1 is compressive and σ3 is tensile.
Differential stress,
σd = σ1 - σ3 => σ3 = σ1 - σd
since σd > σ1, σ3 must be negative.
Therefore, σ3 is tensile.
Hence , option (B) is correct  σ1 is compressive and σ3 is tensile.

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