Mechanics of Materials II · Group assignment 2 · Problem 1
Column buckling
Problem statement
A pin-ended column made of 20 mm (3/4 in) steel plate (E = 200 GPa and σy = 210 MPa) is loaded as shown in the figure. If a factor of safety of 2.5 with respect to yielding is required, determine the maximum length to support a load of 380 kN.
Figure data: built-up section of 300, 280, 160 and 180 mm plates; 380 kN load applied with a 38 mm eccentricity from centroid C.
Concepts: pin-ended column, eccentric load, secant formula, factor of safety, maximum length
