MT-1620 a.2002 The higher loads can be reached if the column is artificially restrained at lower bifurcation points Other boundary conditions There are 3 (4)allowable boundary conditions for w( need two on each end) which are homogeneous(→…=0 Simply-supported (pinned) W=0 M= El dx W Fixed end(clamped) d w dx M= El · Free end d x E dx dx S=0 Sliding dx Paul A Lagace @2001 Unit 16-13MIT - 16.20 Fall, 2002 The higher loads can be reached if the column is “artificially restrained” at lower bifurcation points. Other Boundary Conditions There are 3 (/4) allowable boundary conditions for w (need two on each end) which are homogeneous ( ⇒ … = 0) w = 0 • Simply-supported (pinned) 2 M = E I dw = 0 dx2 w = 0 • Fixed end (clamped) dw = 0 dx 2 M = E I dw = 0 dx2 • Free end 2 S = d E I dw  2  = 0 dx  dx  S = 0 • Sliding dw = 0 dx Paul A. Lagace © 2001 Unit 16 - 13