Question

All the failure theories give nearly the same results when

• (A) and (B) only
• (B) only
• (C) only
• (A) only

Hint:

When one principal stress is significantly larger than the others, most failure theories give similar results.

Answer 1

The Correct Option is A

Step 1: Conditions for Similarity in Failure Theories.
Failure theories (e.g., Maximum Normal Stress, Maximum Shear Stress) yield comparable results under specific conditions: when one principal stress significantly exceeds others, or when shear stresses are dominant.Step 2: Summary.
Failure theories converge when principal stresses are significantly unequal, especially if one dominates, and when shear stresses are significant. Final Answer: \[ \boxed{\text{(A) and (B) only}} \]