MT-1620 Fall 2002 w(x)= Ae+ Be Ce/+ De or w(x)=Csinh/x C, coshnx+ C3 sin/x+ C4 cosx(23-8 The constants are found by applying the boundary conditions (4 constants=>4 boundary conditions EXample: Simply-supported beam Figure 23.2 Representation of simply-supported beam 2 EI. m= constant with x d w E m Paul A Lagace @2001 Unit 23-7MIT - 16.20 Fall, 2002 λ w x() = Ae λ x + Be −λ x + Ce i λ x + De −i x or: w x() = C1 sinhλx + C2 coshλx + C3 sinλx + C4 cosλx (23-8) The constants are found by applying the boundary conditions (4 constants ⇒ 4 boundary conditions) Example: Simply-supported beam Figure 23.2 Representation of simply-supported beam EI, m = constant with x 4 2 EI dw + m dw = pz dx 4 dt 2 Paul A. Lagace © 2001 Unit 23 - 7