Appendix D A29 Appendix D Beam Deflections and Slopes Maximum Beam and Loading Elastic Curve Deflection Slope at End Equation of Elastic Curve O x PL3 PL2 P y max 3EI 2EI 6EI (X - 3Lx ) 2 LL -L- O WLA w ity max (x - 4Lx + 612x2) 8EI 6EI 24EI 3 O ML2 ML M iy max y= 2EI EI 2EI M y 10 1- O For x - ;L: PL3 PL2 P (4x3 - 312x) -IL- y max 48EI 16EI 48EIA 4 m long cantilever concrete beam is supporting a uniformly distributed load of w = 5 kN/m and a 4 kNm counter-clockwise moment at point B as shown Figure 4. Assuming that E = 200 GPa and I = 50x106mm4: M kNm W kN/m IC B L/2 m L/2 m Figure 4 a) Determine the slopes at points C O c= rad Please insert - sign if the slop indicates the counterclockwise. Submit part Unanswered b) Determine the maximum deflection at C yc = mm Please insert - sign if the deflection indicates the downward