Question

The failure theory which is the most conservative for ductile materials is

• A. Maximum principal stress theory
• B. Maximum shear stress theory
• C. Maximum shear strain energy theory
• D. Maximum principal strain theory

Hint:

For ductile materials, the maximum principal stress theory is the most conservative and commonly used for failure analysis.

Answer 1

The Correct Option is A

Step 1: Understanding the Failure Theories.
The maximum principal stress theory is considered the most conservative failure theory for ductile materials. This theory assumes that failure occurs when the maximum principal stress reaches the material's ultimate tensile strength.
Step 2: Conclusion.
Thus, the most conservative failure theory for ductile materials is the maximum principal stress theory, making option (1) the correct answer.

Final Answer: \[ \boxed{1. \, \text{Maximum principal stress theory}} \]