Imperfections in Columns |
Consider a curved column with an initial shape w0(x) that is under an axial load F, Enforcing the moment equilibrium of the free-body yields the equation, The governing equation for the transverse displacement w can then be expressed as, The above equation contains a non-homogeneous term -Fw0/EI. To simplify the problem, we assume that the initial curve is a simple half sine wave with an amplitude a, The general solution is found to be, where is the critical load of a straight column. |