For the cantilever beam with L= 12 m and w = 50 kN/m, w M WL2 24 A B C L/2 L/2- a) Determine the slope at C of the beam. Use /= 7.500x109 mm and E =200GPa. (Hint: Use the Beam Deflections and Slopes Table on page A29, Beer et al., Textbook or the Table shown below) radian b) Determine the deflection at point C Yc= mm (insert "-" sign if the deflection is downward) Beam and Loading y Appendix D Beam Deflections and Slopes Elastic Curve Maximum Deflection Slope at End X Equation of Elastic Curve PL PL P mux y (x-3x) 3 2EI 6EI 2 W L x 4 M 6 L P b B A WL max 8EI WL 6EI y= 24EI (x 4Lx + 6Lx) L 1 I ML ML M Ymax y 2EI EI 2EI a L Ymax x PL 48EI For a b: Pb(L - b)3/2 9V3EIL L b Bx at xm = L - b 3 W L x 5WL 384EI y B A Yax PL 16EI = - + +1 Pb(L - b) 6EIL Pa(L - a) GEIL For x = L: y= P 48EI (4x- 31x) For xa: y = Pb 6EIL [x- (1 - b)x] Pab For xa: y- 3EIL WL3 24EI y = 24EI (x2Lx + Lx) B x ML 9V3EI ML M 6 = + y (x-12x) 6EI 6EIL ML 3EI