MT-1620 al.2002 ∑M=0+ 1·x1-1x+M(x)=0 →M Plugging into deflection equation E d x for ei constant dw E E Cx+ C2 Boundary Conditions @ x=0w=0→C1=0 d w @x=0 0→C1=0 Paul A Lagace @2001 Unit 21-9MIT - 16.20 Fall, 2002 ∑ Mx = 0 + ⇒ 1⋅ x − 1⋅ x + M x j ( ) = 0 ⇒ M x( ) = −1 ( xj − x ) Plugging into deflection equation: 2 E I dw = −1 ( xj − x ) dx2 for E I constant: dw 1  x 2  = −  xx −  + C1 dx E I  j 2  3 1  x 2 x  w = −  xj 2 −  + Cx + C2 EI  6  1 Boundary Conditions: @ x = 0 w = 0 ⇒ C2 = 0 d w @ x = 0 = 0 ⇒ C1 = 0 dx Paul A. Lagace © 2001 Unit 21 - 9