For the cantilever beam with L= 12 m and w = 50 kN/m, 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 Deflections and Slopes Maximum Deflection Slope at End Beam and Loading Elastic Curve 2 W A L 10 L P b M B A a L L Equation of Elastic Curve PL PL P y (x-3x) 3EI 2EI 6EI 1 x WL Ymx 8EI 6EI y = 24EI (x4 4Lx3 + 6Lx) I ML 2EI ML EI x PL 48EI PL M 2EI For x = L: P = (4x- 31x) 48EI b max For a > b: Pb(L - b)3/2 93EIL 16EI For xa: Pb(L - b) BA y = 6EIL Pb 6EIL [x- (1 - b)x] B x L2-b Pa(L - a) Pab at xm = IT For xa: y = 3 GEIL 3EIL Ymas B A Ymax 5WL 384EI WL3 W + y = (x - 2Lx + Lx) 24EI 24EI ML ML M B x 0 = + (x- 1x) 9V3EI 6EI 6EIL ML =