Discussion
The following assumption which is not true with respect to Euler's column theory is :
Answer: D
The assumption that is not true is The bending stress is very small as compared to the direct stress.
Euler's theory deals with long columns that fail by buckling. It assumes the opposite: the direct stress is very small compared with the bending stress, so the direct stress is neglected and failure is by buckling alone.
The other three are genuine Euler assumptions. The column fails by buckling alone, its cross-section is uniform along its length, and it is very long compared with its lateral dimensions. The theory also assumes an initially straight column, an axial load and a homogeneous material.
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