For the cantilever beam with L= 12 m and w = 50 kN/m, a) b) A k W -L/2- B radian L/2- Determine the deflection at point C Yc = M = C Determine the slope at C of the beam. Use /= 7.500x10 mm4 and E=200GPa. (Hint: Use the Beam Deflections and Slopes Table on page A29, Beer et al., Textbook or the Table shown below) 0c= wL 24 mm (insert "-" sign if the deflection is downward) Beam and Loading 1 3 4 H 6 L M O y O Elastic Curve a L L Appendix D Beam Deflections and Slopes Maximum Deflection Slope at End L y mas y max X Yux X Bx B PL 3EI WL 8EI ML 2EI PL 48EI For a b Pb(L - 6)/2 9V/3EIL at xm= 5wL 384EI ML 9V/3EI 3 b PL 2EI w[ 6EI ML PL 16EI 0A = 0g + 1+ 0 = + Pb(Lb) 6EIL wL 24EI OB=- Pa (L-a) GEIL ML 6EI ML 3EI Equation of Elastic Curve y = y = y - 6PT (2 y For x L: P 48EI W 24EI M 2EI y = y For x < a: y = -[1 (1-b)x] Pb 6EIL For xa: y = - 3Lx) (4x - 31x) W 24EI 4Lx + 6Lx) M 6EIL Pab 3EIL (x21x + x) (x - Lx)