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) Appendix D Beam and Loading Elastic Curve 2 W 3 P P b M y B A a Beam Deflections and Slopes Maximum Deflection Slope at End Equation of Elastic Curve x PL PL P Ymax y = (x-3x) 3 2EI 6EI L x WI 8EI 6EI y = 24EI (x4 - 4Lx + 6Lx) L I ML 2EI ML M y 2EI x PL 48EI PL 16EI For x = L: y = P 48EI (4x-31x) L b max For a b: Pb(L - b)3/2 93EIL Pb(L - b) = 6EIL For xa: Pb y = [x- (1 - b)x] 6EIL Bx L2-b2 at xm 3 Pa(L - a) GEIL Pab For xa: y = 3EIL 6 10 y L X 5WL 384EI WL3 24EI y = 24EI (x21x3 + Lx) y M B A L Ymax ML ML M B I 0A = + (x - 1x) 9V3EI 6EI 6EIL ML