Question

Which of the following statements are TRUE about the assumptions adopted in Euler’s column theory?

• A. Length of the column is very large in comparison to its cross-sectional dimensions
• B. Effect of the axial compressive stress is smaller than the effect of bending stress on column buckling
• C. Column fails only by transverse loads
• D. Column fails only by buckling

Hint:

Euler's column theory is based on the assumption that the column is long and slender, and failure occurs due to buckling, not transverse loads.

Answer 1

The Correct Option is A, B, D

Step 1: Assumptions in Euler’s column theory.
Euler's column theory assumes that:
- The column is long and slender, i.e., the length is much greater than its cross-sectional dimensions (Option A).
- The axial compressive stress is primarily responsible for column buckling, but the effect of bending stress is assumed to be smaller compared to axial stress (Option B).
- The column buckles under axial compressive loads, not transverse loads (Option C is incorrect).
- The failure of the column is attributed to buckling, which is the primary mode of failure in Euler’s theory (Option D is correct).

Step 2: Conclusion.
Therefore, the correct answers are (A), (B), and (D).