Question

Euler's theory assumes that failure within a column is solely due to

• A. torsion
• B. buckling
• C. sagging
• D. bending

Answer 1

Answer:

B. buckling

Euler's column theory assumes that failure is solely due to buckling. Other assumptions include a straight column initially loaded axially, uniform cross-section, perfect elasticity, negligible self-weight, and a very long length compared to lateral dimensions. The crippling load for a column of length L is given by $P_{cr} = \frac{\pi ^ 2 EA}{(\frac{L_{eq}}{ r})^ 2}$ , where$L_{eq}$is the effective length of the column.