MT-1620 al.2002 To find the axial force F(x), place(17-5)into(17-1) d dw d E dx Px dx d: x ax d x For w small, this latter part is a second order term in w and is therefore negligible Thus dF (17-7) dx Note: Solve this equation first to find F(x distribution and use that in equation (17-6) Examples of solution to Equation (17-7) End compression P Figure 17. 3 Simply-supported column under end compression Paul A Lagace @2001 Unit 17-7MIT - 16.20 Fall, 2002 --> To find the axial force F(x), place (17-5) into (17-1): 2 dF = − px − d dw d EI dw  dx dx  dx dx  dx2  For w small, this latter part is a second order term in w and is therefore negligible Thus: dF = − px (17-7) dx Note: Solve this equation first to find F(x) distribution and use that in equation (17-6) Examples of solution to Equation (17-7) • End compression Po Figure 17.3 Simply-supported column under end compression px = 0 Paul A. Lagace © 2001 Unit 17 - 7